Metrics for Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, B

analyze279.0ms (4.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
25%	25%	74.9%	0.2%	0%	0%	0%	5
25%	25%	74.9%	0.2%	0%	0%	0%	6
25%	25%	74.9%	0.2%	0%	0%	0%	7
37.5%	37.4%	62.4%	0.2%	0%	0%	0%	8
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	9
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	10
56.3%	56.1%	43.7%	0.2%	0%	0%	0%	11
65.6%	65.5%	34.3%	0.2%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 55.0ms (70.8% of total)

ival-div: 21.0ms (27% of total)

const: 1.0ms (1.3% of total)

backward-pass: 1.0ms (1.3% of total)

sample1.0s (16.2%)

Results

704.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 319.0ms

ival-div: 174.0ms (54.6% of total)

ival-mult: 134.0ms (42% of total)

const: 8.0ms (2.5% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess481.0ms (7.7%)

Algorithm

2×	egg-herbie

Rules

5272×	`/-lowering-/.f32`
5272×	`/-lowering-/.f64`
4632×	`-lowering-.f32`
4632×	`-lowering-.f64`
2378×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	139
1	161	83
2	475	79
3	1742	79
4	4640	79
0	8	9
1	16	7
2	39	5
3	83	5
4	313	5
5	983	5
6	2513	5
7	2832	5
8	3016	5
9	3095	5
10	3152	5
11	3213	5
12	5920	5
13	6080	5
14	6527	5
15	7043	5
16	7762	5
0	8104	5

Stop Event

1×	iter limit
1×	node limit
1×	node limit

Calls

Call 1

Inputs
(* x (/ (* (/ y z) t) t))

Outputs
(* x (/ (* (/ y z) t) t))
(/.f64 (*.f64 x y) z)

Call 2

Inputs
(* x (/ (* (/ y z) t) t))
(* (neg x) (/ (* (/ y z) t) t))
(* x (/ (* (/ (neg y) z) t) t))
(* x (/ (* (/ y (neg z)) t) t))
(* x (/ (* (/ y z) (neg t)) (neg t)))
(neg (* (neg x) (/ (* (/ y z) t) t)))
(neg (* x (/ (* (/ (neg y) z) t) t)))
(neg (* x (/ (* (/ y (neg z)) t) t)))
(neg (* x (/ (* (/ y z) (neg t)) (neg t))))
(* y (/ (* (/ x z) t) t))
(* z (/ (* (/ y x) t) t))
(* t (/ (* (/ y z) x) x))
(* x (/ (* (/ z y) t) t))
(* x (/ (* (/ t z) y) y))
(* x (/ (* (/ y t) z) z))

Outputs
(* x (/ (* (/ y z) t) t))
(* y (/ x z))
(* (neg x) (/ (* (/ y z) t) t))
(* x (/ y (neg z)))
(* x (/ (* (/ (neg y) z) t) t))
(* x (/ y (neg z)))
(* x (/ (* (/ y (neg z)) t) t))
(* x (/ y (neg z)))
(* x (/ (* (/ y z) (neg t)) (neg t)))
(* y (/ x z))
(neg (* (neg x) (/ (* (/ y z) t) t)))
(* y (/ x z))
(neg (* x (/ (* (/ (neg y) z) t) t)))
(* y (/ x z))
(neg (* x (/ (* (/ y (neg z)) t) t)))
(* y (/ x z))
(neg (* x (/ (* (/ y z) (neg t)) (neg t))))
(* x (/ y (neg z)))
(* y (/ (* (/ x z) t) t))
(* y (/ x z))
(* z (/ (* (/ y x) t) t))
(* z (/ y x))
(* t (/ (* (/ y z) x) x))
(/ (* y t) z)
(* x (/ (* (/ z y) t) t))
(* x (/ z y))
(* x (/ (* (/ t z) y) y))
(* x (/ t z))
(* x (/ (* (/ y t) z) z))
(* x (/ y t))

Symmetry

(abs t)

(negabs x)

(negabs y)

(negabs z)

(sort x y)

explain86.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
45	-	3	(2.1481819410805666e-178 5.770648064064633e+91 1.5503064816630891e+119 3.2409940287952844e-289)	`(/.f64 (*.f64 (/.f64 y z) t) t)`
29	-	1	(1.2513563586744e-235 3.4209519220438936e-100 3.830155493029801e+210 2.3260874364977153e+37)	`(*.f64 (/.f64 y z) t)`
19	-	0	-	`(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))`
0	-	0	-	`x`
0	-	0	-	`(/.f64 y z)`
0	-	0	-	`z`
0	-	0	-	`t`
0	-	0	-	`y`

Results

61.0ms

512×

valid

Compiler

Compiled 79 to 26 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 8.0ms (51.1% of total)

ival-mult: 7.0ms (44.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.3%	(/.f64 (*.f64 x y) z)
▶	81.5%	(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify318.0ms (5.1%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) z)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(*.f64 (/.f64 y z) t)
✓	cost-diff	256	(/.f64 (*.f64 (/.f64 y z) t) t)
✓	cost-diff	256	(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))

Rules

5272×	`/-lowering-/.f32`
5272×	`/-lowering-/.f64`
4632×	`-lowering-.f32`
4632×	`-lowering-.f64`
2380×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	20	39
2	45	31
3	92	31
4	322	31
5	1001	31
6	2511	31
7	2830	31
8	3014	31
9	3093	31
10	3150	31
11	3211	31
12	5917	31
13	6077	31
14	6518	31
15	7028	31
16	7754	31
0	8096	31

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (/ (* (/ y z) t) t))
x
(/ (* (/ y z) t) t)
(* (/ y z) t)
(/ y z)
y
z
t
(/ (* x y) z)
(* x y)
x
y
z

Outputs
(* x (/ (* (/ y z) t) t))
(/.f64 (*.f64 x y) z)
x
(/ (* (/ y z) t) t)
(/.f64 y z)
(* (/ y z) t)
(/.f64 (*.f64 y t) z)
(/ y z)
(/.f64 y z)
y
z
t
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
x
y
z

localize52.0ms (0.8%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	92.3%	(/.f64 (*.f64 x y) z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	92.7%	(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))
✓	accuracy	89.4%	(*.f64 (/.f64 y z) t)
✓	accuracy	83.8%	(/.f64 (*.f64 (/.f64 y z) t) t)

Results

38.0ms

256×

valid

Compiler

Compiled 44 to 11 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 6.0ms (52.9% of total)

ival-mult: 5.0ms (44.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts

6 → 204

Calls

Call 1

Inputs
#<alt (* x (/ (* (/ y z) t) t))>
#<alt (/ (* (/ y z) t) t)>
#<alt (* (/ y z) t)>
#<alt (/ y z)>
#<alt (/ (* x y) z)>
#<alt (* x y)>

Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ (* t y) z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

51 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(* x y)
1.0ms	z	@	-inf	(/ (* x y) z)
1.0ms	t	@	0	(* x (/ (* (/ y z) t) t))
1.0ms	x	@	0	(* x (/ (* (/ y z) t) t))
1.0ms	y	@	0	(* x (/ (* (/ y z) t) t))

rewrite363.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2652×	`-lowering-.f32`
2652×	`-lowering-.f64`
2094×	`/-lowering-/.f32`
2094×	`/-lowering-/.f64`
1054×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	40	24
2	234	24
3	1701	24
4	6685	24
0	8196	24

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 496

Calls

Call 1

Inputs
(* x (/ (* (/ y z) t) t))
(/ (* (/ y z) t) t)
(* (/ y z) t)
(/ y z)
(/ (* x y) z)
(* x y)

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (/.f64 x (/.f64 z y)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 0 binary64)) (/.f64 x (/.f64 z y)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) t)) #s(literal 0 binary64)) (/.f64 x (/.f64 z y)))
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x z))) (/.f64 x (/.f64 z y)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) t))) (/.f64 x (/.f64 z y)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 z x) y))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) y))) (/.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (/.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (/.f64 (/.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y))) #s(literal 1 binary64)))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 z t) (.f64 x (*.f64 y t))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 z t)) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 y t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) (*.f64 t (/.f64 x t))))
(/.f64 #s(literal 1 binary64) (/.f64 z (.f64 (.f64 y t) (/.f64 x t))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) (.f64 (-.f64 #s(literal 0 binary64) (.f64 y t)) (/.f64 x t))))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (.f64 x (.f64 y t)) t)))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z (.f64 x (.f64 y t))))
(/.f64 (/.f64 x (/.f64 z (*.f64 y t))) t)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 z x) y)))
(/.f64 (/.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 y t)))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 z (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y))) #s(literal -1 binary64))
(/.f64 (*.f64 x t) (/.f64 t (/.f64 y z)))
(/.f64 (/.f64 x t) (/.f64 z (*.f64 y t)))
(/.f64 (.f64 x (.f64 y t)) (*.f64 z t))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y t))) (-.f64 #s(literal 0 binary64) (*.f64 z t)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x t)) (/.f64 t (/.f64 y (-.f64 #s(literal 0 binary64) z))))
(/.f64 (*.f64 t (/.f64 x t)) (/.f64 z y))
(/.f64 (.f64 (.f64 y t) (/.f64 x t)) z)
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y t)) (/.f64 x t)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 (.f64 x (.f64 y t)) t) z)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) t)) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 y t))))
(/.f64 (/.f64 x (/.f64 t (/.f64 y z))) (/.f64 #s(literal 1 binary64) t))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (.f64 (-.f64 #s(literal 0 binary64) z) (.f64 x y))) (.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) z) (.f64 y (-.f64 #s(literal 0 binary64) x)))) (*.f64 (-.f64 #s(literal 0 binary64) z) z))
(/.f64 (neg.f64 (*.f64 t (/.f64 x t))) (/.f64 z (-.f64 #s(literal 0 binary64) y)))
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(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) y))) #s(literal -1 binary64))
(.f64 (.f64 x t) (/.f64 y (*.f64 z t)))
(.f64 (/.f64 x t) (/.f64 (.f64 y t) z))
(.f64 (.f64 x (.f64 y t)) (/.f64 #s(literal 1 binary64) (.f64 z t)))
(.f64 (/.f64 y (.f64 z t)) (*.f64 x t))
(*.f64 (/.f64 x z) y)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 y t))) (/.f64 #s(literal -1 binary64) (.f64 z t)))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 x t) (/.f64 t z)) y)
(.f64 (.f64 t (/.f64 x t)) (/.f64 y z))
(.f64 (.f64 (/.f64 y z) (/.f64 x t)) t)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x t)) (*.f64 y t))
(.f64 (.f64 (*.f64 y t) (/.f64 x t)) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y t)) (/.f64 x t)) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 (.f64 x (*.f64 y t)) t) (/.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) t)) (/.f64 t (/.f64 z (-.f64 #s(literal 0 binary64) y))))
(*.f64 (/.f64 x (/.f64 t (/.f64 y z))) t)
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 0 binary64) z)))
(.f64 (pow.f64 (neg.f64 (/.f64 z (.f64 x (*.f64 y t)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) t))
(.f64 (pow.f64 (/.f64 t (.f64 x (*.f64 y t))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) #s(literal -1 binary64)))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 x y))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (.f64 x y))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x y))) (.f64 y (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x y)))) (.f64 x y))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (.f64 (.f64 x y) (.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 #s(literal 0 binary64) (.f64 y (-.f64 #s(literal 0 binary64) x))))))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(*.f64 x y)
(*.f64 y x)
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 (.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 0 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1/2 binary64)))

simplify178.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

24×	`-lowering-.f32`
24×	`-lowering-.f64`
12×	`*-commutative`
10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	852
1	13	852
2	19	852
3	21	852
0	21	852

Stop Event

1×	iter limit
1×	saturated

Counts

204 → 204

Calls

Call 1

Inputs
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ (* t y) z)
(/.f64 (*.f64 y t) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval151.0ms (2.4%)

Compiler: Compiled 7676 to 1047 computations (86.4% saved)

prune65.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	694	6	700
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	695	7	702

Accuracy

100.0%

Counts

702 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.4%	(/.f64 (/.f64 x (/.f64 z (*.f64 y t))) t)
▶	92.1%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
✓	92.3%	(/.f64 (*.f64 x y) z)
▶	92.5%	(/.f64 y (/.f64 z x))
▶	93.2%	(/.f64 x (/.f64 z y))
▶	92.7%	(*.f64 (/.f64 y z) x)
▶	93.2%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 129 to 86 computations (33.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	128	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
✓	cost-diff	0	(/.f64 z x)
✓	cost-diff	0	(/.f64 y (/.f64 z x))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(/.f64 x (/.f64 z y))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(*.f64 (/.f64 y z) x)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(*.f64 (/.f64 x z) y)

Rules

40×	`-lowering-.f32`
40×	`-lowering-.f64`
38×	`/-lowering-/.f32`
38×	`/-lowering-/.f64`
14×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	28	58
2	33	58
3	50	58
4	62	58
5	69	58
6	71	58
7	72	58
0	72	58

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ x z) y)
(/ x z)
x
z
y
(* (/ y z) x)
(/ y z)
y
z
x
(/ x (/ z y))
x
(/ z y)
z
y
(/ y (/ z x))
y
(/ z x)
z
x
(/ (/ x (/ 1 y)) z)
(/ x (/ 1 y))
x
(/ 1 y)
1
y
z

Outputs
(* (/ x z) y)
(/.f64 x (/.f64 z y))
(/ x z)
(/.f64 x z)
x
z
y
(* (/ y z) x)
(/.f64 x (/.f64 z y))
(/ y z)
(/.f64 y z)
y
z
x
(/ x (/ z y))
(/.f64 x (/.f64 z y))
x
(/ z y)
(/.f64 z y)
z
y
(/ y (/ z x))
(/.f64 x (/.f64 z y))
y
(/ z x)
(/.f64 z x)
z
x
(/ (/ x (/ 1 y)) z)
(/.f64 x (/.f64 z y))
(/ x (/ 1 y))
(*.f64 x y)
x
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
z

localize131.0ms (2.1%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	accuracy	92.3%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	92.5%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	93.2%	(/.f64 x (/.f64 z y))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	92.7%	(*.f64 (/.f64 y z) x)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	93.2%	(*.f64 (/.f64 x z) y)

Results

78.0ms

256×

valid

Compiler

Compiled 68 to 17 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 21.0ms (81.8% of total)

ival-mult: 5.0ms (19.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series9.0ms (0.2%)

Counts

11 → 312

Calls

Call 1

Inputs
#<alt (* (/ x z) y)>
#<alt (/ x z)>
#<alt (* (/ y z) x)>
#<alt (/ y z)>
#<alt (/ x (/ z y))>
#<alt (/ z y)>
#<alt (/ y (/ z x))>
#<alt (/ z x)>
#<alt (/ (/ x (/ 1 y)) z)>
#<alt (/ x (/ 1 y))>
#<alt (/ 1 y)>

Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>

Calls

78 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(/ z x)
0.0ms	z	@	0	(/ z y)
0.0ms	z	@	-inf	(/ z x)
0.0ms	z	@	-inf	(/ z y)
0.0ms	y	@	0	(/ 1 y)

rewrite228.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2088×	`-lowering-.f32`
2088×	`-lowering-.f64`
1514×	`/-lowering-/.f32`
1514×	`/-lowering-/.f64`
1416×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	69	42
2	351	42
3	1789	42
4	6441	42
0	8014	42

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 792

Calls

Call 1

Inputs
(* (/ x z) y)
(/ x z)
(* (/ y z) x)
(/ y z)
(/ x (/ z y))
(/ z y)
(/ y (/ z x))
(/ z x)
(/ (/ x (/ 1 y)) z)
(/ x (/ 1 y))
(/ 1 y)

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 x z) y))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 0 binary64)) (.f64 (/.f64 x z) y))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal 0 binary64)) (.f64 (/.f64 x z) y))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal 0 binary64)) (.f64 (/.f64 x z) y))
(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 z (.f64 x y)))))
(exp.f64 (+.f64 (log.f64 (/.f64 x z)) (log.f64 y)))
(exp.f64 (+.f64 (log.f64 y) (log.f64 (/.f64 x z))))
(exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)))) (*.f64 #s(literal -1 binary64) (log.f64 z))))
(exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 z)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))))
(exp.f64 (-.f64 (log.f64 (/.f64 x z)) (log.f64 (/.f64 #s(literal 1 binary64) y))))
(exp.f64 (-.f64 (log.f64 y) (log.f64 (/.f64 z x))))
(exp.f64 (-.f64 (log.f64 (/.f64 y z)) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x z) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x z) y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x z) y)))
(/.f64 x (/.f64 z y))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 z x))
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 z (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x z) y)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (.f64 x y))) z) (.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z (.f64 x y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (.f64 x y)))) (-.f64 #s(literal 0 binary64) z)) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 z (.f64 x y)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (.f64 x y))) (/.f64 z x)) (.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 z (.f64 x y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (.f64 x y)))) (/.f64 z (-.f64 #s(literal 0 binary64) x))) (.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 z (.f64 x y)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (.f64 x y))) (/.f64 z y)) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 z (.f64 x y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (.f64 x y)))) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) (/.f64 z (.f64 x y)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) x)) (/.f64 (/.f64 z y) (/.f64 y z)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 x z))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) x))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 z (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 y z))) (/.f64 z (.f64 x y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (.f64 x y))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) x))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) y))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) z))
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(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))) (.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) z))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 y z)))) (.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 z (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))) (-.f64 #s(literal 0 binary64) (/.f64 z (.f64 x y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))) (.f64 (-.f64 #s(literal 0 binary64) z) x)) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x z))) (/.f64 z y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) x))) (.f64 (-.f64 #s(literal 0 binary64) z) y)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y z))) (/.f64 z x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (.f64 (-.f64 #s(literal 0 binary64) z) (.f64 x y))) (.f64 z z))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) x)))) (.f64 (-.f64 #s(literal 0 binary64) z) z))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 y z)))) (/.f64 z (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 x z)))) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y))) (.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) x))) (.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z y)))
(/.f64 (neg.f64 (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x z) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x z) y)) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x z) y))) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x z) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x z) y)) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x z) y)))) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x z) y)))
(pow.f64 (*.f64 (/.f64 x z) y) #s(literal 1 binary64))
(pow.f64 (/.f64 z (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 z (.f64 x y)) (/.f64 z (*.f64 x y))) #s(literal -1/2 binary64))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 y z) x)
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x z) y))
(.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (/.f64 x z) y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x z) y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 y z)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) z))
(.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 x z) y)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 0 binary64) y))
(.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 z (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 y) (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 x z) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (.f64 (/.f64 x z) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 x z) y) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 z x) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (sqrt.f64 y))
(+.f64 (*.f64 x y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 x y))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (.f64 x y))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) (.f64 x y))
(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)))))
(exp.f64 (-.f64 (log.f64 y) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(/.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (*.f64 x y))) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 x y))) (/.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x y))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x))) (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) y))) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))))) (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x y))) (.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))))) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (.f64 x y) (.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x y))))) (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))) (.f64 (.f64 x y) (.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 x y)))) (.f64 x y))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x y) (.f64 x y)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 #s(literal 0 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) x))))))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) #s(literal -1 binary64))
(*.f64 x y)
(*.f64 y x)
(.f64 #s(literal 1 binary64) (.f64 x y))
(.f64 (.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 y) (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (sqrt.f64 y))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y y)) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 y) #s(literal -1/2 binary64)) (.f64 (log.f64 y) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

12×	`/-lowering-/.f32`
12×	`/-lowering-/.f64`
12×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	1284
1	16	1284
2	18	1284
3	19	1284
0	19	1284

Stop Event

1×	iter limit
1×	saturated

Counts

312 → 312

Calls

Call 1

Inputs
(/ (* x y) z)
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(* x y)
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(/ 1 y)
(/ 1 y)

Outputs
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ z x)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)

eval120.0ms (1.9%)

Compiler: Compiled 12166 to 1094 computations (91% saved)

prune328.0ms (5.3%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1103	1	1104
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	1103	8	1111

Accuracy

100.0%

Counts

1111 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.7%	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
▶	73.4%	(/.f64 (/.f64 x (/.f64 z (*.f64 y t))) t)
✓	92.1%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
✓	92.3%	(/.f64 (*.f64 x y) z)
✓	92.5%	(/.f64 y (/.f64 z x))
✓	93.2%	(/.f64 x (/.f64 z y))
✓	92.7%	(*.f64 (/.f64 y z) x)
✓	93.2%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 80 to 54 computations (32.5% saved)

simplify185.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	128	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 y t)
✓	cost-diff	0	(/.f64 z (*.f64 y t))
✓	cost-diff	0	(/.f64 x (/.f64 z (*.f64 y t)))
✓	cost-diff	256	(/.f64 (/.f64 x (/.f64 z (*.f64 y t))) t)

Rules

7112×	`associate-*r/`
3922×	`/-lowering-/.f32`
3922×	`/-lowering-/.f64`
2796×	`-lowering-.f32`
2796×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	26	46
2	55	46
3	128	38
4	320	38
5	1047	38
6	2302	38
7	2414	38
8	2418	38
9	2418	38
10	4366	38
11	4402	38
12	4404	38
13	4411	38
14	4412	38
15	4412	38
16	4896	38
17	4896	38
18	4896	38
0	9677	38

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ x (/ z (* y t))) t)
(/ x (/ z (* y t)))
x
(/ z (* y t))
z
(* y t)
y
t
(/ (/ y z) (/ 1 x))
(/ y z)
y
z
(/ 1 x)
1
x

Outputs
(/ (/ x (/ z (* y t))) t)
(*.f64 x (/.f64 y z))
(/ x (/ z (* y t)))
(*.f64 x (/.f64 y (/.f64 z t)))
x
(/ z (* y t))
(/.f64 z (*.f64 y t))
z
(* y t)
(*.f64 y t)
y
t
(/ (/ y z) (/ 1 x))
(*.f64 x (/.f64 y z))
(/ y z)
(/.f64 y z)
y
z
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x

localize72.0ms (1.1%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	92.7%	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(*.f64 y t)
✓	accuracy	94.3%	(/.f64 x (/.f64 z (*.f64 y t)))
✓	accuracy	92.9%	(/.f64 z (*.f64 y t))
✓	accuracy	83.3%	(/.f64 (/.f64 x (/.f64 z (*.f64 y t))) t)

Results

60.0ms

256×

valid

Compiler

Compiled 50 to 13 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 10.0ms (81% of total)

ival-mult: 2.0ms (16.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series14.0ms (0.2%)

Counts

7 → 228

Calls

Call 1

Inputs
#<alt (/ (/ x (/ z (* y t))) t)>
#<alt (/ x (/ z (* y t)))>
#<alt (/ z (* y t))>
#<alt (* y t)>
#<alt (/ (/ y z) (/ 1 x))>
#<alt (/ y z)>
#<alt (/ 1 x)>

Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ (* t (* x y)) z)>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (/ z (* t y))>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (* t y)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>

Calls

57 calls:

Time	Variable		Expression
3.0ms	y	@	(/ z (* y t))
1.0ms	z	@	(/ x (/ z (* y t)))
1.0ms	y	@	(/ x (/ z (* y t)))
0.0ms	x	@	(/ x (/ z (* y t)))
0.0ms	t	@	(/ x (/ z (* y t)))

rewrite297.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3670×	`/-lowering-/.f32`
3670×	`/-lowering-/.f64`
3148×	`-lowering-.f32`
3148×	`-lowering-.f64`
1782×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	66	38
2	432	38
3	3417	30
0	8334	30

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 940

Calls

Call 1

Inputs
(/ (/ x (/ z (* y t))) t)
(/ x (/ z (* y t)))
(/ z (* y t))
(* y t)
(/ (/ y z) (/ 1 x))
(/ y z)
(/ 1 x)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 z (.f64 x y))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 z (.f64 x (.f64 y t)))) #s(literal -1 binary64)) (.f64 (log.f64 t) #s(literal -1 binary64))))
(exp.f64 (+.f64 (.f64 (log.f64 t) #s(literal -1 binary64)) (.f64 (log.f64 (/.f64 z (.f64 x (.f64 y t)))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)) (log.f64 x)))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (.f64 y t))) (-.f64 #s(literal 0 binary64) t))) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (.f64 y t))) (-.f64 #s(literal 0 binary64) t))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 z x) t)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 y t)) (*.f64 (/.f64 z x) t)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (*.f64 y t))) t) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) t) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (*.f64 y t))) (-.f64 #s(literal 0 binary64) t)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) (.f64 (/.f64 #s(literal 1 binary64) x) t)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (/.f64 z y))) (.f64 (/.f64 #s(literal 1 binary64) x) t)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) y) t)) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) y) t)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) (.f64 t (/.f64 (/.f64 #s(literal 1 binary64) t) y))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)) (.f64 t (/.f64 (/.f64 #s(literal 1 binary64) t) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) t)) (/.f64 (/.f64 t (/.f64 z y)) (.f64 (/.f64 #s(literal -1 binary64) x) t)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) t) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (/.f64 #s(literal 1 binary64) t) y))) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y)))) (/.f64 x (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (/.f64 z y) #s(literal -1 binary64))) (/.f64 x (.f64 (/.f64 z y) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 1 binary64))) (/.f64 x (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 z x)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))))
(neg.f64 (/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) t)) (/.f64 z (*.f64 y t))))
(/.f64 x (/.f64 z y))
(/.f64 x (.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (.f64 y t))) (-.f64 #s(literal 0 binary64) t)))
(/.f64 x (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y)))))
(/.f64 x (neg.f64 (*.f64 (/.f64 z y) #s(literal -1 binary64))))
(/.f64 x (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 1 binary64))))
(/.f64 y (/.f64 z x))
(/.f64 (.f64 y t) (.f64 (/.f64 z x) t))
(/.f64 (/.f64 t (/.f64 z (*.f64 x y))) t)
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 y t)) (/.f64 x t)))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 z (.f64 x (*.f64 y t))) (-.f64 #s(literal 0 binary64) t))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (.f64 x (*.f64 y t)))) t)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z (*.f64 x y))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 z (.f64 x (*.f64 y t))) (-.f64 #s(literal 0 binary64) t)))
(/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (.f64 x (*.f64 y t)))) t))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (*.f64 y t)) (/.f64 x t))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 y t)) (neg.f64 (.f64 (/.f64 z x) t)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 z y)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z y))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 z y) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z y)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (.f64 y t))) (-.f64 #s(literal 0 binary64) t))))
(/.f64 (/.f64 x (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 y t)))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 t (/.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) x) t))
(/.f64 (/.f64 t (/.f64 z y)) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) t)))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 z (.f64 x (.f64 y t))))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 x z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) y) t))
(/.f64 (/.f64 x z) (*.f64 t (/.f64 (/.f64 #s(literal 1 binary64) t) y)))
(/.f64 (/.f64 x z) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (/.f64 #s(literal 1 binary64) t) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (/.f64 z y))) (*.f64 (/.f64 #s(literal -1 binary64) x) t))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (/.f64 z y))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) t)))
(/.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) (/.f64 z (.f64 x (.f64 y t)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z y))) #s(literal -1 binary64))
(/.f64 (/.f64 x (/.f64 z y)) #s(literal 1 binary64))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) t)) (/.f64 z (-.f64 #s(literal 0 binary64) (*.f64 y t))))
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(pow.f64 (/.f64 y z) #s(literal 1 binary64))
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(pow.f64 (*.f64 (/.f64 z y) (/.f64 z y)) #s(literal -1/2 binary64))
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(.f64 y (.f64 (/.f64 t z) (/.f64 #s(literal 1 binary64) t)))
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(*.f64 t (/.f64 (/.f64 y z) t))
(.f64 (.f64 y t) (/.f64 #s(literal 1 binary64) (*.f64 z t)))
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(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y z)) #s(literal -1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) z) y)
(.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y t) t))
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 t (/.f64 z y)))
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(.f64 (/.f64 #s(literal -1 binary64) z) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 y t)) (/.f64 #s(literal 1 binary64) t)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 z t)) (*.f64 y t))
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 y z))) t)
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(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal -1/2 binary64)))
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(exp.f64 (+.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) (.f64 (log.f64 x) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
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(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
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(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))

simplify26.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

72×	`-lowering-.f32`
72×	`-lowering-.f64`
26×	`/-lowering-/.f32`
26×	`/-lowering-/.f64`
24×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	1104
1	25	1104
2	39	1104
3	58	1104
4	68	1104
0	68	1104

Stop Event

1×	iter limit
1×	saturated

Counts

228 → 228

Calls

Call 1

Inputs
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ (* t (* x y)) z)
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(/ z (* t y))
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(* t y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)

Outputs
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ (* t (* x y)) z)
(.f64 x (/.f64 (.f64 y t) z))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(/ z (* t y))
(/.f64 z (*.f64 y t))
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(* t y)
(*.f64 y t)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

eval165.0ms (2.6%)

Compiler: Compiled 16140 to 1970 computations (87.8% saved)

prune133.0ms (2.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	1168	0	1168
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	1168	8	1176

Accuracy

100.0%

Counts

1176 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.7%	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
✓	73.4%	(/.f64 (/.f64 x (/.f64 z (*.f64 y t))) t)
✓	92.1%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
✓	92.3%	(/.f64 (*.f64 x y) z)
✓	92.5%	(/.f64 y (/.f64 z x))
✓	93.2%	(/.f64 x (/.f64 z y))
✓	92.7%	(*.f64 (/.f64 y z) x)
✓	93.2%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 141 to 81 computations (42.6% saved)

regimes25.0ms (0.4%)

Counts

9 → 2

Calls

Call 1

Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))
(/.f64 (/.f64 x (/.f64 z (*.f64 y t))) t)

Outputs
(/.f64 x (/.f64 z y))
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)

Calls

7 calls:

5.0ms	y
3.0ms	(/.f64 y z)
3.0ms	x
3.0ms	z
3.0ms	t

Results

Accuracy	Segments	Branch
95.3%	2	`x`
97.6%	2	`y`
99.8%	2	`z`
95.0%	2	`t`
99.7%	2	`(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))`
99.7%	2	`(/.f64 (*.f64 (/.f64 y z) t) t)`
99.8%	2	`(/.f64 y z)`

Compiler

Compiled 51 to 36 computations (29.4% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)

Outputs
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)

Calls

1 calls:

2.0ms

(/.f64 y z)

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 y z)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))

Outputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)

Calls

2 calls:

2.0ms	z
2.0ms	(/.f64 y z)

Results

Accuracy	Segments	Branch
99.8%	2	`z`
99.7%	2	`(/.f64 y z)`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 x z) y)

Outputs
(*.f64 (/.f64 x z) y)

Calls

4 calls:

2.0ms	t
1.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
93.2%	1	`t`
93.2%	1	`x`
93.2%	1	`y`
93.2%	1	`z`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.8561176083377663e+299	1.2680944148386466e+300

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.8561176083377663e+299	1.2680944148386466e+300

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	4.278599787601508e+24	2.3838522018992396e+27

Results

1.0ms

16×

valid

Compiler

Compiled 40 to 28 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	53
1	28	53

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 y z) #s(literal 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)) (/.f64 x (/.f64 z y)) (/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z))
(if (<=.f64 (/.f64 y z) #s(literal 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)) (/.f64 x (/.f64 z y)) (/.f64 (*.f64 x y) z))
(if (<=.f64 z #s(literal 5000000000000000452984832 binary64)) (.f64 (/.f64 x z) y) (.f64 (/.f64 y z) x))
(*.f64 (/.f64 x z) y)

Outputs
(if (<=.f64 (/.f64 y z) #s(literal 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)) (/.f64 x (/.f64 z y)) (/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z))
(if (<=.f64 (/.f64 y z) #s(literal 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)) (/.f64 x (/.f64 z y)) (/.f64 (*.f64 x y) z))
(if (<=.f64 (/.f64 y z) #s(literal 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)) (/.f64 x (/.f64 z y)) (/.f64 (*.f64 y x) z))
(if (<=.f64 z #s(literal 5000000000000000452984832 binary64)) (.f64 (/.f64 x z) y) (.f64 (/.f64 y z) x))
(if (<=.f64 z #s(literal 5000000000000000452984832 binary64)) (.f64 y (/.f64 x z)) (.f64 (/.f64 y z) x))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))

soundness981.0ms (15.7%)

Rules

5272×	`/-lowering-/.f32`
5272×	`/-lowering-/.f64`
4632×	`-lowering-.f32`
4632×	`-lowering-.f64`
2652×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	16	7
2	39	5
3	83	5
4	313	5
5	983	5
6	2513	5
7	2832	5
8	3016	5
9	3095	5
10	3152	5
11	3213	5
12	5920	5
13	6080	5
14	6527	5
15	7043	5
16	7762	5
0	8104	5
0	10	40
1	40	24
2	234	24
3	1701	24
4	6685	24
0	8196	24

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 131 to 73 computations (44.3% saved)

preprocess468.0ms (7.5%)

Remove: (abs t)
Compiler: Compiled 1070 to 614 computations (42.6% saved)

Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, B

analyze279.0ms (4.5%)

sample1.0s (16.2%)

preprocess481.0ms (7.7%)

explain86.0ms (1.4%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify318.0ms (5.1%)

localize52.0ms (0.8%)

series15.0ms (0.2%)

rewrite363.0ms (5.8%)

simplify178.0ms (2.9%)

eval151.0ms (2.4%)

prune65.0ms (1%)

simplify7.0ms (0.1%)

localize131.0ms (2.1%)

series9.0ms (0.2%)

rewrite228.0ms (3.7%)

simplify31.0ms (0.5%)

eval120.0ms (1.9%)

prune328.0ms (5.3%)

simplify185.0ms (3%)

localize72.0ms (1.1%)

series14.0ms (0.2%)

rewrite297.0ms (4.7%)

simplify26.0ms (0.4%)

eval165.0ms (2.6%)

prune133.0ms (2.1%)

regimes25.0ms (0.4%)

regimes3.0ms (0%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

simplify8.0ms (0.1%)

soundness981.0ms (15.7%)

preprocess468.0ms (7.5%)

end0.0ms (0%)

Profiling