Metrics for neg log

analyze4.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

Operation ival-log, time spent: 1.0ms, 54.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

sample1.2s (44.4%)

Results

969.0ms	8255×	256	valid
2.0ms	23×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 424.0ms

Operation ival-log, time spent: 204.0ms, 48.0% of total-time

Operation ival-div, time spent: 112.0ms, 26.0% of total-time

Operation ival-sub, time spent: 50.0ms, 12.0% of total-time

Operation ival-neg, time spent: 40.0ms, 9.0% of total-time

Operation const, time spent: 18.0ms, 4.0% of total-time

Bogosity

preprocess252.0ms (9.6%)

Algorithm

1×	egg-herbie

Rules

64×	`fma-define`
48×	`fma-neg`
48×	`sub-neg`
26×	`+-commutative`
20×	`associate--r+`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(log.f64 (-.f64 (/.f64 1 x) 1))`
-	-	`(/.f64 1 x)`
-	-	`(-.f64 (/.f64 1 x) 1)`
-	-	`(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))`
-	-	`1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	100
1	35	92
2	56	92
3	82	92
4	111	92
5	128	92
6	165	92
7	249	92
8	286	92
9	300	92

Stop Event

1×

saturated

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (-.f64 (/.f64 1 (neg.f64 x)) 1)))
(neg.f64 (neg.f64 (log.f64 (-.f64 (/.f64 1 (neg.f64 x)) 1))))

Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(neg.f64 (log.f64 (-.f64 (/.f64 1 (neg.f64 x)) 1)))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) -1)))
(neg.f64 (log.f64 (+.f64 (/.f64 -1 x) -1)))
(neg.f64 (neg.f64 (log.f64 (-.f64 (/.f64 1 (neg.f64 x)) 1))))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) -1))
(log.f64 (+.f64 (/.f64 -1 x) -1))

Compiler

Compiled 58 to 47 computations (19% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

Operation ival-div, time spent: 92.0ms, 68.0% of total-time

Operation ival-log, time spent: 26.0ms, 19.0% of total-time

Operation ival-sub, time spent: 8.0ms, 6.0% of total-time

Operation ival-neg, time spent: 5.0ms, 4.0% of total-time

Operation const, time spent: 3.0ms, 2.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 8 to 7 computations (12.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize92.0ms (3.5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (-.f64 (/.f64 1 x) 1))

Compiler

Compiled 25 to 20 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

Operation ival-log, time spent: 44.0ms, 72.0% of total-time

Operation ival-div, time spent: 8.0ms, 13.0% of total-time

Operation ival-sub, time spent: 6.0ms, 10.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

Operation ival-neg, time spent: 1.0ms, 2.0% of total-time

series69.0ms (2.6%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
68.0ms	x	@	0	(log.f64 (-.f64 (/.f64 1 x) 1))
1.0ms	x	@	inf	(log.f64 (-.f64 (/.f64 1 x) 1))
1.0ms	x	@	-inf	(log.f64 (-.f64 (/.f64 1 x) 1))

rewrite307.0ms (11.7%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`unpow-prod-down`
423×	`log1p-expm1-u`
423×	`expm1-log1p-u`
408×	`log-prod`
403×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	104	20
2	1277	20

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(log.f64 (-.f64 (/.f64 1 x) 1))

Outputs
(+.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 0)
(+.f64 0 (log.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)))) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log.f64 (/.f64 1 (+.f64 1 (/.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -1/2) 1)) (log.f64 (-.f64 (pow.f64 x -1/2) 1)))
(-.f64 0 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1))))
(-.f64 (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (+.f64 (pow.f64 x -2) (-.f64 1 (*.f64 (/.f64 1 x) -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x -3) -1))) (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (neg.f64 (+.f64 1 (/.f64 1 x)))))
(*.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
(*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 3))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2))

simplify79.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1076×	`fma-neg`
1026×	`log-prod`
986×	`associate-r`
866×	`associate-l`
862×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2145
1	403	2081
2	1080	2017
3	5420	2017

Stop Event

1×	node limit

Counts

63 → 100

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 x))
(+.f64 (.f64 -1 x) (.f64 -1 (log.f64 x)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1 (log.f64 x)) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/3 (pow.f64 x 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(+.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 0)
(+.f64 0 (log.f64 (+.f64 (/.f64 1 x) -1)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)))) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log.f64 (/.f64 1 (+.f64 1 (/.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -1/2) 1)) (log.f64 (-.f64 (pow.f64 x -1/2) 1)))
(-.f64 0 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1))))
(-.f64 (+.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (+.f64 (pow.f64 x -2) (-.f64 1 (*.f64 (/.f64 1 x) -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x -3) -1))) (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (neg.f64 (+.f64 1 (/.f64 1 x)))))
(*.f64 1 (log.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
(*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 3))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (/.f64 1 x) -1)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2))

Outputs
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (.f64 -1 x) (.f64 -1 (log.f64 x)))
(*.f64 -1 (+.f64 x (log.f64 x)))
(-.f64 (neg.f64 (log.f64 x)) x)
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(*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
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(*.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (log.f64 (E.f64)))
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(log.f64 (-.f64 -1 (/.f64 -1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2))
(log.f64 (+.f64 -1 (/.f64 1 x)))
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 -1 (/.f64 1 x)))
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(*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
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(log.f64 (-.f64 -1 (/.f64 -1 x)))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (-.f64 -1 (/.f64 -1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 (/.f64 1 x) -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 -1 (/.f64 -1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 (/.f64 1 x) -1) 3)))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 3))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 (/.f64 1 x) -1)))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3)) 1/3))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 4) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 -1 (/.f64 -1 x)))) 8)) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 -1 (/.f64 -1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 -1 (/.f64 -1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 -1 (/.f64 -1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))) 4) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 -1 (/.f64 -1 x)))) 8)) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 -1 (/.f64 -1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 -1 (/.f64 -1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 -1 (/.f64 -1 x))))))
(pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 1)
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 3)
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2) 1/2)
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3) 1/3)
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1))) 2)
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (-.f64 -1 (/.f64 -1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (-.f64 -1 (/.f64 -1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 -1 (/.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 -1 (/.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (-.f64 -1 (/.f64 -1 x)))))) (sqrt.f64 (log.f64 (log.f64 (-.f64 -1 (/.f64 -1 x))))))
(neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x))) (+.f64 (pow.f64 x -3) -1))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -3))) (log1p.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 1 x)) (+.f64 (pow.f64 x -2) -1))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 2))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 x) -1)) 3))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(log1p.f64 (-.f64 (+.f64 (/.f64 1 x) -1) 1))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1))))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 3))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 1/3))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))) 2))
(log.f64 (+.f64 -1 (/.f64 1 x)))
(log.f64 (-.f64 -1 (/.f64 -1 x)))

eval117.0ms (4.4%)

Compiler: Compiled 1455 to 1244 computations (14.5% saved)

prune14.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	5	101

Accuracy

100.0%

Counts

101 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶	99.6%	(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 -1 (/.f64 -1 x))))))
▶	98.5%	(neg.f64 (neg.f64 (log.f64 x)))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	0.0%	(neg.f64 (log.f64 -1))

Compiler

Compiled 35 to 30 computations (14.3% saved)

localize173.0ms (6.6%)

Compiler: Compiled 78 to 49 computations (37.2% saved)
Precisions: Click to see histograms. Total time spent on operations: 73.0ms
Operation ival-log, time spent: 28.0ms, 38.0% of total-time
Operation ival-div, time spent: 15.0ms, 20.0% of total-time
Operation ival-neg, time spent: 8.0ms, 11.0% of total-time
Operation ival-sub, time spent: 8.0ms, 11.0% of total-time
Operation ival-cbrt, time spent: 7.0ms, 10.0% of total-time
Operation ival-mult, time spent: 4.0ms, 5.0% of total-time
Operation const, time spent: 3.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	4	4
Done	1	1
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓	99.6%	(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 -1 (/.f64 -1 x))))))
✓	98.5%	(neg.f64 (neg.f64 (log.f64 x)))
✓	100.0%	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
✓	0.0%	(neg.f64 (log.f64 -1))

Compiler

Compiled 66 to 54 computations (18.2% saved)

regimes32.0ms (1.2%)

Counts

5 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (*.f64 3 (log.f64 (cbrt.f64 (-.f64 -1 (/.f64 -1 x))))))

Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Calls

5 calls:

13.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
5.0ms	(/.f64 1 x)
5.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))
4.0ms	(-.f64 (/.f64 1 x) 1)
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))`
100.0%	1	`(log.f64 (-.f64 (/.f64 1 x) 1))`
100.0%	1	`(-.f64 (/.f64 1 x) 1)`
100.0%	1	`(/.f64 1 x)`

Compiler

Compiled 27 to 22 computations (18.5% saved)

regimes3.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))

Outputs
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))

Outputs
(neg.f64 (neg.f64 (log.f64 x)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 (log.f64 -1))

Outputs
(neg.f64 (log.f64 -1))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
0.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

60×	`unsub-neg`
42×	`neg-mul-1`
32×	`distribute-lft-neg-in`
30×	`sub-neg`
30×	`neg-sub0`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	66
1	38	66
2	63	58
3	98	58
4	135	58
5	160	58
6	185	58
7	208	58
8	213	58
9	214	58

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 -1))

Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
(+.f64 (log.f64 x) (neg.f64 (neg.f64 x)))
(+.f64 x (log.f64 x))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(neg.f64 (log.f64 -1))

Compiler

Compiled 20 to 16 computations (20% saved)

soundness259.0ms (9.9%)

Rules

1076×	`fma-neg`
1076×	`fma-neg`
1026×	`log-prod`
1026×	`log-prod`
986×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2145
1	403	2081
2	1080	2017
3	5420	2017
0	174	2145
1	403	2081
2	1080	2017
3	5420	2017

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 50 to 33 computations (34% saved)

end0.0ms (0%)

preprocess39.0ms (1.5%)

Compiler: Compiled 50 to 38 computations (24% saved)

analyze4.0ms (0.2%)

sample1.2s (44.4%)

preprocess252.0ms (9.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize92.0ms (3.5%)

series69.0ms (2.6%)

rewrite307.0ms (11.7%)

simplify79.0ms (3%)

eval117.0ms (4.4%)

prune14.0ms (0.5%)

localize173.0ms (6.6%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes32.0ms (1.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

simplify10.0ms (0.4%)

soundness259.0ms (9.9%)

end0.0ms (0%)

preprocess39.0ms (1.5%)

Profiling