Metrics for 2-ancestry mixing, zero discriminant

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze11.0ms (0.4%)

Memory

23.7MiB live, 23.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 8 computations (0% saved)

sample769.0ms (24.1%)

Memory

-21.3MiB live, 2 428.3MiB allocated; 302ms collecting garbage

Samples

512.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-mult: 114.0ms (44.2% of total)

ival-div: 74.0ms (28.7% of total)

ival-cbrt: 54.0ms (20.9% of total)

ival-true: 5.0ms (1.9% of total)

exact: 4.0ms (1.6% of total)

adjust: 3.0ms (1.2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain66.0ms (2.1%)

Memory

2.6MiB live, 388.1MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
63	-	4	(5.734958673097553e-50 -2.5351742670289087e+268)	`(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))`
0	-	0	-	`(/.f64 g (*.f64 #s(literal 2 binary64) a))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`a`
0	-	0	-	`g`
0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cbrt.f64`	`(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))`	uflow-rescue	34	0
↳	`(/.f64 g (*.f64 #s(literal 2 binary64) a))`	underflow	34
`cbrt.f64`	`(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))`	oflow-rescue	25	0
↳	`(/.f64 g (*.f64 #s(literal 2 binary64) a))`	overflow	25

Confusion

	Predicted +	Predicted -
+	59	4
-	0	193

Precision

1.0

Recall

0.9365079365079365

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	59	0	4
-	0	0	193

Precision?

1.0

Recall?

0.9365079365079365

Freqs

test

number	freq
0	197
1	59

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 5.0ms (37.6% of total)

ival-div: 4.0ms (30.1% of total)

ival-cbrt: 3.0ms (22.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess185.0ms (5.8%)

Memory

-7.5MiB live, 229.2MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	33	32
2	63	32
3	116	32
4	289	32
5	1431	32
6	6229	32
0	6	6
0	9	6
1	15	6
2	24	6
3	44	6
4	89	6
5	314	6
6	2015	6
0	8189	6

Stop Event

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

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))

Outputs
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))
(cbrt.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))))

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.7%	(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify101.0ms (3.2%)

Memory

29.5MiB live, 221.6MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 2 binary64) a)
cost-diff	0	(/.f64 g (*.f64 #s(literal 2 binary64) a))
cost-diff	0	(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	9	17
1	15	17
2	24	17
3	44	17
4	89	17
5	314	17
6	2015	17
0	8189	17

Stop Event

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

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))
(/.f64 g (*.f64 #s(literal 2 binary64) a))
g
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
a

Outputs
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))
(cbrt.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))))
(/.f64 g (*.f64 #s(literal 2 binary64) a))
(/.f64 g (*.f64 a #s(literal 2 binary64)))
g
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
a

localize32.0ms (1%)

Memory

-9.0MiB live, 136.5MiB allocated; 9ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 g (*.f64 #s(literal 2 binary64) a))
accuracy	0.0	(*.f64 #s(literal 2 binary64) a)
accuracy	14.939461412936401	(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))

Samples

24.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (32.5% of total)

ival-mult: 2.0ms (32.5% of total)

ival-cbrt: 2.0ms (32.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series35.0ms (1.1%)

Memory

11.0MiB live, 91.2MiB allocated; 16ms collecting garbage

Counts

3 → 5

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))
(/.f64 g (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) a)

Outputs
(* (cbrt (/ g a)) (cbrt 1/2))
(* 1/2 (/ g a))
(* -1 (* (cbrt (/ g a)) (cbrt -1/2)))
(* 2 a)
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2)))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	g	@	0	((cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* 2 a))
9.0ms	a	@	0	((cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* 2 a))
5.0ms	g	@	-inf	((cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* 2 a))
4.0ms	a	@	-inf	((cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* 2 a))
4.0ms	g	@	inf	((cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* 2 a))

simplify153.0ms (4.8%)

Memory

17.7MiB live, 342.1MiB allocated; 58ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	31
1	35	31
2	61	31
3	81	31
4	143	31
5	468	31
6	3305	31
0	8381	31

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 5

Calls

Call 1

Inputs
(* (cbrt (/ g a)) (cbrt 1/2))
(* 1/2 (/ g a))
(* -1 (* (cbrt (/ g a)) (cbrt -1/2)))
(* 2 a)
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2)))

Outputs
(* (cbrt (/ g a)) (cbrt 1/2))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))
(* 1/2 (/ g a))
(*.f64 g (/.f64 #s(literal 1/2 binary64) a))
(* -1 (* (cbrt (/ g a)) (cbrt -1/2)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 g a)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 g a)))

rewrite42.0ms (1.3%)

Memory

-22.1MiB live, 125.1MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
0	9	14
1	23	14
0	87	14

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 25

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))
(/.f64 g (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) a)

Outputs
(.f64 (pow.f64 (/.f64 g (.f64 a #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 a #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a))
(/.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 (*.f64 #s(literal -2 binary64) a)))
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64))))
(cbrt.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 g (.f64 a #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(/.f64 (/.f64 g a) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 g #s(literal 2 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 g)) (neg.f64 (*.f64 #s(literal -2 binary64) a)))
(/.f64 (/.f64 g #s(literal 2 binary64)) a)
(/.f64 (neg.f64 g) (*.f64 #s(literal -2 binary64) a))
(/.f64 g (*.f64 a #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 g) (*.f64 a #s(literal 2 binary64))))
(neg.f64 (/.f64 g (*.f64 #s(literal -2 binary64) a)))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
(/.f64 (-.f64 (.f64 a a) (.f64 a a)) (-.f64 a a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))
(fma.f64 #s(literal 1 binary64) a (*.f64 #s(literal 1 binary64) a))
(fma.f64 a #s(literal 1 binary64) (*.f64 a #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1 binary64) a))
(+.f64 (.f64 a #s(literal 1 binary64)) (.f64 a #s(literal 1 binary64)))
(+.f64 a a)

eval3.0ms (0.1%)

Memory: 25.2MiB live, 25.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 267 to 106 computations (60.3% saved)

prune6.0ms (0.2%)

Memory

-23.4MiB live, 24.1MiB allocated; 1ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	22	7	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	7	30

Accuracy

99.6%

Counts

30 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.3%	(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64))
	98.7%	(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a))
▶	98.7%	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64))))
	31.3%	(cbrt.f64 (/.f64 g (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))))
▶	76.7%	(cbrt.f64 (/.f64 g (+.f64 a a)))
▶	76.7%	(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))))
▶	76.7%	#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a))))

Compiler

Compiled 148 to 118 computations (20.3% saved)

simplify157.0ms (4.9%)

Memory

-10.0MiB live, 421.1MiB allocated; 52ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(cbrt.f64 (/.f64 g a))
cost-diff	0	(cbrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))
cost-diff	0	#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a))))
cost-diff	0	(*.f64 a #s(literal 2 binary64))
cost-diff	0	(/.f64 g (*.f64 a #s(literal 2 binary64)))
cost-diff	Infinite	(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
cost-diff	0	(*.f64 g (/.f64 #s(literal 1/2 binary64) a))
cost-diff	0	#s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))
cost-diff	0	(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))))
cost-diff	0	(+.f64 a a)
cost-diff	0	(/.f64 g (+.f64 a a))
cost-diff	0	(cbrt.f64 (/.f64 g (+.f64 a a)))
cost-diff	0	(*.f64 a #s(literal 2 binary64))
cost-diff	0	(cbrt.f64 (*.f64 a #s(literal 2 binary64)))
cost-diff	0	(cbrt.f64 g)
cost-diff	0	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	121
0	42	120
1	54	120
2	63	120
3	84	120
4	137	120
5	431	120
6	2458	120
0	8184	120

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64))))
(cbrt.f64 g)
g
(cbrt.f64 (*.f64 a #s(literal 2 binary64)))
(*.f64 a #s(literal 2 binary64))
a
#s(literal 2 binary64)
(cbrt.f64 (/.f64 g (+.f64 a a)))
(/.f64 g (+.f64 a a))
g
(+.f64 a a)
a
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 g (/.f64 #s(literal 1/2 binary64) a))
g
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 g (*.f64 a #s(literal 2 binary64)))
g
(*.f64 a #s(literal 2 binary64))
a
#s(literal 2 binary64)
#s(literal 1/3 binary64)
#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))
(cbrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cbrt.f64 (/.f64 g a))
(/.f64 g a)
g
a

Outputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64))))
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))
(cbrt.f64 g)
g
(cbrt.f64 (*.f64 a #s(literal 2 binary64)))
(cbrt.f64 (*.f64 #s(literal 2 binary64) a))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
a
#s(literal 2 binary64)
(cbrt.f64 (/.f64 g (+.f64 a a)))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) g))
(/.f64 g (+.f64 a a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) g)
g
(+.f64 a a)
(*.f64 #s(literal 2 binary64) a)
a
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))))
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) g)))
#s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))
#s(approx (/ g (* 2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) g))
(*.f64 g (/.f64 #s(literal 1/2 binary64) a))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) g)
g
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) g))
(/.f64 g (*.f64 a #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) g)
g
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
a
#s(literal 2 binary64)
#s(literal 1/3 binary64)
#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a))))
#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))
(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cbrt.f64 (/.f64 g a))
(/.f64 g a)
g
a

localize113.0ms (3.5%)

Memory

-10.0MiB live, 572.1MiB allocated; 54ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(cbrt.f64 #s(literal 1/2 binary64))
accuracy	0.0	#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a))))
accuracy	0.4544525390737681	(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))
accuracy	14.874374317060191	(cbrt.f64 (/.f64 g a))
accuracy	0.0	(/.f64 g (*.f64 a #s(literal 2 binary64)))
accuracy	0.0	(*.f64 a #s(literal 2 binary64))
accuracy	42.52973488824753	(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) a)
accuracy	0.0	#s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))
accuracy	0.24609375	(*.f64 g (/.f64 #s(literal 1/2 binary64) a))
accuracy	14.939461412936401	(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))))
accuracy	0.0	(/.f64 g (+.f64 a a))
accuracy	0.0	(+.f64 a a)
accuracy	14.939461412936401	(cbrt.f64 (/.f64 g (+.f64 a a)))
accuracy	0.0	(*.f64 a #s(literal 2 binary64))
accuracy	0.3561325195368841	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64))))
accuracy	0.5840989258319566	(cbrt.f64 g)
accuracy	0.5967751465266304	(cbrt.f64 (*.f64 a #s(literal 2 binary64)))

Samples

95.0ms

256×

valid

Compiler

Compiled 103 to 25 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

const: 15.0ms (31.6% of total)

ival-div: 11.0ms (23.2% of total)

ival-cbrt: 11.0ms (23.2% of total)

ival-mult: 7.0ms (14.7% of total)

ival-add: 2.0ms (4.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series70.0ms (2.2%)

Memory

21.5MiB live, 257.7MiB allocated; 11ms collecting garbage

Counts

17 → 18

Calls

Call 1

Inputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64))))
(cbrt.f64 g)
(cbrt.f64 (*.f64 a #s(literal 2 binary64)))
(*.f64 a #s(literal 2 binary64))
(cbrt.f64 (/.f64 g (+.f64 a a)))
(/.f64 g (+.f64 a a))
(+.f64 a a)
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 g (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) a)
(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 g (*.f64 a #s(literal 2 binary64)))
#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))
(cbrt.f64 #s(literal 1/2 binary64))
(cbrt.f64 (/.f64 g a))

Outputs
(* (cbrt (/ g a)) (/ 1 (cbrt 2)))
(cbrt g)
(* (cbrt (/ g a)) (cbrt 1/2))
(* 1/2 (/ g a))
(cbrt (/ g a))
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2))))
(* -1 (* (cbrt g) (cbrt -1)))
(* -1 (* (cbrt (/ g a)) (cbrt -1/2)))
(* -1 (* (cbrt (/ g a)) (* (cbrt -1) (cbrt 1/2))))
(* -1 (* (cbrt (/ g a)) (cbrt -1)))
(* (cbrt a) (cbrt 2))
(* 2 a)
(/ 1/2 a)
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2)))
(* -1 (* (cbrt a) (cbrt -2)))
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2)))
(* (cbrt (/ g a)) (* (pow (cbrt -1) 2) (cbrt 1/2)))
(* (cbrt (/ g a)) (pow (cbrt -1) 2))

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	a	@	inf	((/ (cbrt g) (cbrt (* a 2))) (cbrt g) (cbrt (* a 2)) (* a 2) (cbrt (/ g (+ a a))) (/ g (+ a a)) (+ a a) (cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* g (/ 1/2 a)) (/ 1/2 a) (pow (/ g (* a 2)) 1/3) (/ g (* a 2)) (cbrt (/ g (* 2 a))) (* (cbrt 1/2) (cbrt (/ g a))) (cbrt 1/2) (cbrt (/ g a)))
12.0ms	a	@	-inf	((/ (cbrt g) (cbrt (* a 2))) (cbrt g) (cbrt (* a 2)) (* a 2) (cbrt (/ g (+ a a))) (/ g (+ a a)) (+ a a) (cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* g (/ 1/2 a)) (/ 1/2 a) (pow (/ g (* a 2)) 1/3) (/ g (* a 2)) (cbrt (/ g (* 2 a))) (* (cbrt 1/2) (cbrt (/ g a))) (cbrt 1/2) (cbrt (/ g a)))
12.0ms	g	@	0	((/ (cbrt g) (cbrt (* a 2))) (cbrt g) (cbrt (* a 2)) (* a 2) (cbrt (/ g (+ a a))) (/ g (+ a a)) (+ a a) (cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* g (/ 1/2 a)) (/ 1/2 a) (pow (/ g (* a 2)) 1/3) (/ g (* a 2)) (cbrt (/ g (* 2 a))) (* (cbrt 1/2) (cbrt (/ g a))) (cbrt 1/2) (cbrt (/ g a)))
11.0ms	g	@	-inf	((/ (cbrt g) (cbrt (* a 2))) (cbrt g) (cbrt (* a 2)) (* a 2) (cbrt (/ g (+ a a))) (/ g (+ a a)) (+ a a) (cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* g (/ 1/2 a)) (/ 1/2 a) (pow (/ g (* a 2)) 1/3) (/ g (* a 2)) (cbrt (/ g (* 2 a))) (* (cbrt 1/2) (cbrt (/ g a))) (cbrt 1/2) (cbrt (/ g a)))
9.0ms	a	@	0	((/ (cbrt g) (cbrt (* a 2))) (cbrt g) (cbrt (* a 2)) (* a 2) (cbrt (/ g (+ a a))) (/ g (+ a a)) (+ a a) (cbrt (/ g (* 2 a))) (/ g (* 2 a)) (* g (/ 1/2 a)) (/ 1/2 a) (pow (/ g (* a 2)) 1/3) (/ g (* a 2)) (cbrt (/ g (* 2 a))) (* (cbrt 1/2) (cbrt (/ g a))) (cbrt 1/2) (cbrt (/ g a)))

simplify97.0ms (3%)

Memory

14.0MiB live, 155.8MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	46	103
1	99	99
2	206	99
3	435	99
4	1576	99
5	5566	97
0	8692	97

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

Calls

Call 1

Inputs
(* (cbrt (/ g a)) (/ 1 (cbrt 2)))
(cbrt g)
(* (cbrt (/ g a)) (cbrt 1/2))
(* 1/2 (/ g a))
(cbrt (/ g a))
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2))))
(* -1 (* (cbrt g) (cbrt -1)))
(* -1 (* (cbrt (/ g a)) (cbrt -1/2)))
(* -1 (* (cbrt (/ g a)) (* (cbrt -1) (cbrt 1/2))))
(* -1 (* (cbrt (/ g a)) (cbrt -1)))
(* (cbrt a) (cbrt 2))
(* 2 a)
(/ 1/2 a)
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2)))
(* -1 (* (cbrt a) (cbrt -2)))
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2)))
(* (cbrt (/ g a)) (* (pow (cbrt -1) 2) (cbrt 1/2)))
(* (cbrt (/ g a)) (pow (cbrt -1) 2))

Outputs
(* (cbrt (/ g a)) (/ 1 (cbrt 2)))
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64)))
(cbrt g)
(cbrt.f64 g)
(* (cbrt (/ g a)) (cbrt 1/2))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))
(* 1/2 (/ g a))
(*.f64 #s(literal 1/2 binary64) (/.f64 g a))
(cbrt (/ g a))
(cbrt.f64 (/.f64 g a))
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2))))
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64)))
(* -1 (* (cbrt g) (cbrt -1)))
(cbrt.f64 g)
(* -1 (* (cbrt (/ g a)) (cbrt -1/2)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 g a)))
(* -1 (* (cbrt (/ g a)) (* (cbrt -1) (cbrt 1/2))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))
(* -1 (* (cbrt (/ g a)) (cbrt -1)))
(cbrt.f64 (/.f64 g a))
(* (cbrt a) (cbrt 2))
(*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2)))
(neg.f64 (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal -2 binary64))))
(* -1 (* (cbrt a) (cbrt -2)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -2 binary64))) (cbrt.f64 a))
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 g a)))
(* (cbrt (/ g a)) (* (pow (cbrt -1) 2) (cbrt 1/2)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))
(* (cbrt (/ g a)) (pow (cbrt -1) 2))
(cbrt.f64 (/.f64 g a))

rewrite21.0ms (0.7%)

Memory

4.5MiB live, 51.6MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	100
0	42	96
0	104	96

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

17 → 58

Calls

Call 1

Inputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64))))
(cbrt.f64 g)
(cbrt.f64 (*.f64 a #s(literal 2 binary64)))
(*.f64 a #s(literal 2 binary64))
(cbrt.f64 (/.f64 g (+.f64 a a)))
(/.f64 g (+.f64 a a))
(+.f64 a a)
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))))
#s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a)))
(*.f64 g (/.f64 #s(literal 1/2 binary64) a))
(/.f64 #s(literal 1/2 binary64) a)
(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 g (*.f64 a #s(literal 2 binary64)))
#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))
(cbrt.f64 #s(literal 1/2 binary64))
(cbrt.f64 (/.f64 g a))

Outputs
(.f64 (pow.f64 (/.f64 g (.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) a))))
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))
(exp.f64 (.f64 (log.f64 (/.f64 g (.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)))
(pow.f64 g #s(literal 1/3 binary64))
(cbrt.f64 g)
(*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 a a) (.f64 a a)) (-.f64 a a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))
(+.f64 a a)
(.f64 (pow.f64 (/.f64 g (.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) a))))
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))
(exp.f64 (.f64 (log.f64 (/.f64 g (.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)))
(/.f64 (/.f64 g #s(literal 2 binary64)) a)
(/.f64 (neg.f64 g) (neg.f64 (*.f64 #s(literal 2 binary64) a)))
(/.f64 (/.f64 g a) #s(literal 2 binary64))
(/.f64 g (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 a a) (.f64 a a)) (-.f64 a a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))
(+.f64 a a)
(pow.f64 #s(approx (/ g (* 2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) g)) #s(literal 1/3 binary64))
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) g)))
#s(approx (/ g (* 2 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) g))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) g)
(*.f64 g (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (*.f64 g #s(literal 1/2 binary64)) a)
(/.f64 #s(literal -1/2 binary64) (neg.f64 a))
(/.f64 #s(literal 1/2 binary64) a)
(.f64 (pow.f64 (/.f64 g (.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) a))))
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))
(exp.f64 (.f64 (log.f64 (/.f64 g (.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)))
(/.f64 (/.f64 g #s(literal 2 binary64)) a)
(/.f64 (neg.f64 g) (neg.f64 (*.f64 #s(literal 2 binary64) a)))
(/.f64 (/.f64 g a) #s(literal 2 binary64))
(/.f64 g (*.f64 #s(literal 2 binary64) a))
#s(approx (cbrt (/ g (* 2 a))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 g a))))
(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 g a)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
(cbrt.f64 #s(literal 1/2 binary64))
(pow.f64 (/.f64 g a) #s(literal 1/3 binary64))
(/.f64 (cbrt.f64 g) (cbrt.f64 a))
(cbrt.f64 (/.f64 g a))

eval7.0ms (0.2%)

Memory: -23.7MiB live, 23.5MiB allocated; 1ms collecting garbage
Compiler: Compiled 646 to 155 computations (76% saved)

prune7.0ms (0.2%)

Memory

31.2MiB live, 31.2MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	2	2
Picked	2	3	5
Done	0	0	0
Total	51	11	62

Accuracy

99.8%

Counts

62 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.3%	(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64))
▶	98.7%	(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a))
▶	98.2%	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64))))
▶	33.6%	(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))))
▶	98.7%	(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a)))
	31.3%	(cbrt.f64 (/.f64 g (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))))
✓	76.7%	(cbrt.f64 (/.f64 g (+.f64 a a)))
✓	76.7%	(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))))
	76.0%	#s(approx (/ (cbrt g) (cbrt (* a 2))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))))
	98.7%	#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 g) (cbrt.f64 a))))
✓	76.7%	#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a))))

Compiler

Compiled 236 to 179 computations (24.2% saved)

simplify98.0ms (3.1%)

Memory

-17.1MiB live, 221.2MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	1	(fma.f64 a a (-.f64 (.f64 a a) (.f64 a a)))
cost-diff	2	(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
cost-diff	6	(-.f64 (.f64 a a) (.f64 a a))
cost-diff	6	(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))
cost-diff	0	(cbrt.f64 a)
cost-diff	0	(*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64)))
cost-diff	0	(cbrt.f64 g)
cost-diff	0	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64))))
cost-diff	0	(cbrt.f64 a)
cost-diff	0	(/.f64 g #s(literal 2 binary64))
cost-diff	0	(cbrt.f64 (/.f64 g #s(literal 2 binary64)))
cost-diff	0	(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a))
cost-diff	0	(+.f64 a a)
cost-diff	0	(/.f64 g (+.f64 a a))
cost-diff	Infinite	(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64))
cost-diff	0	(+.f64 a a)
cost-diff	0	(cbrt.f64 (+.f64 a a))
cost-diff	0	(cbrt.f64 g)
cost-diff	0	(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	171
0	47	110
1	72	110
2	190	110
3	1370	110
0	8442	110

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a)))
(cbrt.f64 g)
g
(cbrt.f64 (+.f64 a a))
(+.f64 a a)
a
(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64))
(/.f64 g (+.f64 a a))
g
(+.f64 a a)
a
#s(literal 1/3 binary64)
(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a))
(cbrt.f64 (/.f64 g #s(literal 2 binary64)))
(/.f64 g #s(literal 2 binary64))
g
#s(literal 2 binary64)
(cbrt.f64 a)
a
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64))))
(cbrt.f64 g)
g
(*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64)))
(cbrt.f64 a)
a
(cbrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))))
(cbrt.f64 g)
g
(cbrt.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a)))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
(pow.f64 a #s(literal 3 binary64))
a
#s(literal 3 binary64)
(fma.f64 a a (-.f64 (.f64 a a) (.f64 a a)))
(-.f64 (.f64 a a) (.f64 a a))
(*.f64 a a)

Outputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a)))
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))
(cbrt.f64 g)
g
(cbrt.f64 (+.f64 a a))
(cbrt.f64 (*.f64 #s(literal 2 binary64) a))
(+.f64 a a)
(*.f64 #s(literal 2 binary64) a)
a
(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64))
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))
(/.f64 g (+.f64 a a))
(/.f64 g (*.f64 #s(literal 2 binary64) a))
g
(+.f64 a a)
(*.f64 #s(literal 2 binary64) a)
a
#s(literal 1/3 binary64)
(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a))
(cbrt.f64 (/.f64 g #s(literal 2 binary64)))
(/.f64 g #s(literal 2 binary64))
g
#s(literal 2 binary64)
(cbrt.f64 a)
a
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64))))
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 a)))
(cbrt.f64 g)
g
(*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 a))
(cbrt.f64 a)
a
(cbrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))))
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))
(cbrt.f64 g)
g
(cbrt.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))
(*.f64 #s(literal 2 binary64) a)
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 a #s(literal 3 binary64))
a
#s(literal 3 binary64)
(fma.f64 a a (-.f64 (.f64 a a) (.f64 a a)))
(*.f64 a a)
(-.f64 (.f64 a a) (.f64 a a))
#s(literal 0 binary64)
(*.f64 a a)

localize132.0ms (4.1%)

Memory

-3.8MiB live, 221.1MiB allocated; 43ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.5840989258319566	(cbrt.f64 g)
accuracy	0.5967751465266304	(cbrt.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a)))))
accuracy	15.749911934132108	(-.f64 (.f64 a a) (.f64 a a))
accuracy	41.62273474530994	(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))
accuracy	0.3561325195368841	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64))))
accuracy	0.5648613769897464	(cbrt.f64 a)
accuracy	0.5840989258319566	(cbrt.f64 g)
accuracy	1.0	(cbrt.f64 #s(literal 2 binary64))
accuracy	0.0	(/.f64 g #s(literal 2 binary64))
accuracy	0.37890625	(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a))
accuracy	0.5648613769897464	(cbrt.f64 a)
accuracy	0.6514626465266304	(cbrt.f64 (/.f64 g #s(literal 2 binary64)))
accuracy	0.0	(/.f64 g (+.f64 a a))
accuracy	0.0	(+.f64 a a)
accuracy	42.52973488824753	(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64))
accuracy	0.0	(+.f64 a a)
accuracy	0.3561325195368841	(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a)))
accuracy	0.5840989258319566	(cbrt.f64 g)
accuracy	0.5967751465266304	(cbrt.f64 (+.f64 a a))

Samples

86.0ms	202×	1	valid
19.0ms	54×	0	valid

Compiler

Compiled 177 to 28 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 20.0ms (30.2% of total)

ival-cbrt: 15.0ms (22.6% of total)

adjust: 11.0ms (16.6% of total)

ival-mult: 5.0ms (7.5% of total)

ival-pow: 5.0ms (7.5% of total)

ival-add: 5.0ms (7.5% of total)

const: 4.0ms (6% of total)

ival-sub: 2.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series63.0ms (2%)

Memory

54.6MiB live, 135.8MiB allocated; 18ms collecting garbage

Counts

18 → 21

Calls

Call 1

Inputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a)))
(cbrt.f64 g)
(cbrt.f64 (+.f64 a a))
(+.f64 a a)
(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64))
(/.f64 g (+.f64 a a))
(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a))
(cbrt.f64 (/.f64 g #s(literal 2 binary64)))
(/.f64 g #s(literal 2 binary64))
(cbrt.f64 a)
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))
(-.f64 (.f64 a a) (.f64 a a))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 a a (-.f64 (.f64 a a) (.f64 a a)))
(cbrt.f64 #s(literal 2 binary64))
(cbrt.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a)))))

Outputs
(* (cbrt (/ g a)) (/ 1 (cbrt 2)))
(cbrt g)
(* (cbrt (/ g a)) (cbrt 1/2))
(* 1/2 (/ g a))
(* (cbrt g) (cbrt 1/2))
(* 1/2 g)
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2))))
(* -1 (* (cbrt g) (cbrt -1)))
(* -1 (* (cbrt (/ g a)) (cbrt -1/2)))
(* -1 (* (cbrt g) (cbrt -1/2)))
(* (cbrt a) (cbrt 2))
(* 2 a)
(cbrt a)
0
(* 2 (pow a 3))
(pow a 2)
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2)))
(* -1 (* (cbrt a) (cbrt -2)))
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2)))
(* -1 (* (cbrt a) (cbrt -1)))
(* -1 (* (cbrt a) (* (cbrt -1) (cbrt 2))))

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	a	@	inf	((/ (cbrt g) (cbrt (+ a a))) (cbrt g) (cbrt (+ a a)) (+ a a) (pow (/ g (+ a a)) 1/3) (/ g (+ a a)) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (cbrt a) (/ (cbrt g) (* (cbrt a) (cbrt 2))) (* (cbrt a) (cbrt 2)) (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a))) (cbrt 2) (cbrt (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a))))))
12.0ms	a	@	-inf	((/ (cbrt g) (cbrt (+ a a))) (cbrt g) (cbrt (+ a a)) (+ a a) (pow (/ g (+ a a)) 1/3) (/ g (+ a a)) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (cbrt a) (/ (cbrt g) (* (cbrt a) (cbrt 2))) (* (cbrt a) (cbrt 2)) (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a))) (cbrt 2) (cbrt (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a))))))
10.0ms	g	@	inf	((/ (cbrt g) (cbrt (+ a a))) (cbrt g) (cbrt (+ a a)) (+ a a) (pow (/ g (+ a a)) 1/3) (/ g (+ a a)) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (cbrt a) (/ (cbrt g) (* (cbrt a) (cbrt 2))) (* (cbrt a) (cbrt 2)) (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a))) (cbrt 2) (cbrt (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a))))))
8.0ms	g	@	-inf	((/ (cbrt g) (cbrt (+ a a))) (cbrt g) (cbrt (+ a a)) (+ a a) (pow (/ g (+ a a)) 1/3) (/ g (+ a a)) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (cbrt a) (/ (cbrt g) (* (cbrt a) (cbrt 2))) (* (cbrt a) (cbrt 2)) (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a))) (cbrt 2) (cbrt (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a))))))
7.0ms	a	@	0	((/ (cbrt g) (cbrt (+ a a))) (cbrt g) (cbrt (+ a a)) (+ a a) (pow (/ g (+ a a)) 1/3) (/ g (+ a a)) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (cbrt a) (/ (cbrt g) (* (cbrt a) (cbrt 2))) (* (cbrt a) (cbrt 2)) (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a)))) (- (* a a) (* a a)) (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a))) (cbrt 2) (cbrt (/ (+ (pow a 3) (pow a 3)) (+ (* a a) (- (* a a) (* a a))))))

simplify184.0ms (5.8%)

Memory

5.4MiB live, 231.0MiB allocated; 81ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	122
1	108	120
2	241	120
3	495	120
4	1674	120
5	7102	120
0	8247	120

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

Calls

Call 1

Inputs
(* (cbrt (/ g a)) (/ 1 (cbrt 2)))
(cbrt g)
(* (cbrt (/ g a)) (cbrt 1/2))
(* 1/2 (/ g a))
(* (cbrt g) (cbrt 1/2))
(* 1/2 g)
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2))))
(* -1 (* (cbrt g) (cbrt -1)))
(* -1 (* (cbrt (/ g a)) (cbrt -1/2)))
(* -1 (* (cbrt g) (cbrt -1/2)))
(* (cbrt a) (cbrt 2))
(* 2 a)
(cbrt a)
0
(* 2 (pow a 3))
(pow a 2)
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2)))
(* -1 (* (cbrt a) (cbrt -2)))
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2)))
(* -1 (* (cbrt a) (cbrt -1)))
(* -1 (* (cbrt a) (* (cbrt -1) (cbrt 2))))

Outputs
(* (cbrt (/ g a)) (/ 1 (cbrt 2)))
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64)))
(cbrt g)
(cbrt.f64 g)
(* (cbrt (/ g a)) (cbrt 1/2))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))
(* 1/2 (/ g a))
(*.f64 #s(literal 1/2 binary64) (/.f64 g a))
(* (cbrt g) (cbrt 1/2))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))
(* 1/2 g)
(*.f64 #s(literal 1/2 binary64) g)
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 g a)) (neg.f64 (cbrt.f64 #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64)))
(* -1 (* (cbrt g) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 g))
(* -1 (* (cbrt (/ g a)) (cbrt -1/2)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 g a)))
(* -1 (* (cbrt g) (cbrt -1/2)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 g))
(* (cbrt a) (cbrt 2))
(*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(cbrt a)
(cbrt.f64 a)
0
#s(literal 0 binary64)
(* 2 (pow a 3))
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))
(pow a 2)
(*.f64 a a)
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal -2 binary64))) (cbrt.f64 #s(literal -1 binary64)))
(* -1 (* (cbrt a) (cbrt -2)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -2 binary64))) (cbrt.f64 a))
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2)))
(.f64 (.f64 (cbrt.f64 #s(literal -1/2 binary64)) (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 g a)))
(* -1 (* (cbrt a) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 a)) (cbrt.f64 #s(literal -1 binary64)))
(* -1 (* (cbrt a) (* (cbrt -1) (cbrt 2))))
(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))

rewrite95.0ms (3%)

Memory

-7.2MiB live, 93.9MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	120
0	45	71
0	147	71

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

18 → 69

Calls

Call 1

Inputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a)))
(cbrt.f64 g)
(cbrt.f64 (+.f64 a a))
(+.f64 a a)
(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64))
(/.f64 g (+.f64 a a))
(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a))
(cbrt.f64 (/.f64 g #s(literal 2 binary64)))
(/.f64 g #s(literal 2 binary64))
(cbrt.f64 a)
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))
(-.f64 (.f64 a a) (.f64 a a))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 a a (-.f64 (.f64 a a) (.f64 a a)))
(cbrt.f64 #s(literal 2 binary64))
(cbrt.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a)))))

Outputs
(.f64 (pow.f64 (/.f64 g (.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) a))))
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))
(exp.f64 (.f64 (log.f64 (/.f64 g (.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)))
(pow.f64 g #s(literal 1/3 binary64))
(cbrt.f64 g)
(pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 1/3 binary64))
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 a a #s(literal 0 binary64))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) a)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) (-.f64 a a))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64))))
(+.f64 a a)
(.f64 (pow.f64 (/.f64 g (.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)) (pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) a))))
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 #s(literal 2 binary64) a)))
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))
(exp.f64 (.f64 (log.f64 (/.f64 g (.f64 #s(literal 2 binary64) a))) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 g) (neg.f64 (*.f64 #s(literal 2 binary64) a)))
(/.f64 g (*.f64 #s(literal 2 binary64) a))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 a)))
(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a))
(cbrt.f64 (/.f64 (/.f64 g #s(literal 2 binary64)) a))
(pow.f64 (/.f64 g #s(literal 2 binary64)) #s(literal 1/3 binary64))
(/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64)))
(cbrt.f64 (/.f64 g #s(literal 2 binary64)))
(/.f64 (neg.f64 g) #s(literal -2 binary64))
(/.f64 g #s(literal 2 binary64))
(pow.f64 a #s(literal 1/3 binary64))
(cbrt.f64 a)
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (cbrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (*.f64 a #s(literal 2 binary64)))))
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64))))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 a))
(*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64)))
(cbrt.f64 (*.f64 a #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) a)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) (-.f64 a a))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64))))
(+.f64 a a)
#s(literal 0 binary64)
(.f64 (fma.f64 a a #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) a))
(*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)) (-.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))))
(fma.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 a #s(literal 3 binary64)))
(fma.f64 (*.f64 a a) a (pow.f64 a #s(literal 3 binary64)))
(fma.f64 a (*.f64 a a) (pow.f64 a #s(literal 3 binary64)))
(+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 0 binary64)) (-.f64 (.f64 a a) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 a a) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 a a) (.f64 a a) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 a a) #s(literal 0 binary64)))))
(fma.f64 (neg.f64 a) (neg.f64 a) #s(literal 0 binary64))
(fma.f64 (fabs.f64 a) (fabs.f64 a) #s(literal 0 binary64))
(fma.f64 a a #s(literal 0 binary64))
(-.f64 (fma.f64 a a (.f64 a a)) (.f64 a a))
(+.f64 #s(literal 0 binary64) (*.f64 a a))
(+.f64 (*.f64 a a) #s(literal 0 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/3 binary64))
(cbrt.f64 #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 1/3 binary64))
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 a a #s(literal 0 binary64))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) a))

eval18.0ms (0.5%)

Memory: -22.4MiB live, 22.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 1 340 to 293 computations (78.1% saved)

prune8.0ms (0.3%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	87	7	94
Fresh	1	2	3
Picked	2	3	5
Done	0	3	3
Total	90	15	105

Accuracy

99.9%

Counts

105 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	33.3%	(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64))
	98.1%	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (cbrt.f64 #s(literal 2 binary64)))
▶	98.3%	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 a))
▶	98.7%	(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a))
	98.7%	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (pow.f64 #s(literal 2 binary64) #s(literal 1/3 binary64))))
✓	98.2%	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64))))
▶	33.6%	(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))))
✓	98.7%	(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a)))
▶	98.6%	(/.f64 #s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))) (cbrt.f64 a))
	31.3%	(cbrt.f64 (/.f64 g (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))))
✓	76.7%	(cbrt.f64 (/.f64 g (+.f64 a a)))
✓	76.7%	(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))))
	76.0%	#s(approx (/ (cbrt g) (cbrt (+ a a))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))))
▶	98.7%	#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 g) (cbrt.f64 a))))
✓	76.7%	#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a))))

Compiler

Compiled 282 to 237 computations (16% saved)

simplify99.0ms (3.1%)

Memory

13.3MiB live, 152.0MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cbrt.f64 g)
cost-diff	0	(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))))
cost-diff	1	(fma.f64 a a #s(literal 0 binary64))
cost-diff	6	(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))
cost-diff	0	(cbrt.f64 #s(literal 2 binary64))
cost-diff	0	(cbrt.f64 g)
cost-diff	0	(/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64)))
cost-diff	0	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 a))
cost-diff	0	(cbrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))
cost-diff	0	#s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g)))
cost-diff	0	(/.f64 #s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))) (cbrt.f64 a))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) g)
cost-diff	0	#s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))
cost-diff	0	(cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)))
cost-diff	0	(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a))
cost-diff	0	(/.f64 (cbrt.f64 g) (cbrt.f64 a))
cost-diff	0	(cbrt.f64 #s(literal 1/2 binary64))
cost-diff	0	(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
cost-diff	0	#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 g) (cbrt.f64 a))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	184
0	53	180
1	77	180
2	178	162
3	1088	162
4	6709	162
0	8739	162

Stop Event

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

Calls

Call 1

Inputs
#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 g) (cbrt.f64 a))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
(cbrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (cbrt.f64 g) (cbrt.f64 a))
(cbrt.f64 g)
g
(cbrt.f64 a)
a
(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a))
(cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)))
#s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))
(*.f64 #s(literal 1/2 binary64) g)
#s(literal 1/2 binary64)
g
(cbrt.f64 a)
a
(/.f64 #s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))) (cbrt.f64 a))
#s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))
(cbrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cbrt.f64 g)
g
(cbrt.f64 a)
a
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 a))
(/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64)))
(cbrt.f64 g)
g
(cbrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cbrt.f64 a)
a
(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))))
(cbrt.f64 g)
g
(cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 a #s(literal 3 binary64))
a
#s(literal 3 binary64)
(fma.f64 a a #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 g) (cbrt.f64 a))))
#s(approx (cbrt (/ g (* 2 a))) (*.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
(*.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (cbrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (cbrt.f64 g) (cbrt.f64 a))
(cbrt.f64 g)
g
(cbrt.f64 a)
a
(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a))
(cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)))
#s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))
(*.f64 #s(literal 1/2 binary64) g)
#s(literal 1/2 binary64)
g
(cbrt.f64 a)
a
(/.f64 #s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))) (cbrt.f64 a))
(/.f64 #s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 a))
#s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g)))
#s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))
(*.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(cbrt.f64 g)
g
(cbrt.f64 a)
a
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 a))
(/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64)))
(cbrt.f64 g)
g
(cbrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(cbrt.f64 a)
a
(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))))
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64))))
(cbrt.f64 g)
g
(cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64))))
(cbrt.f64 (*.f64 a #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))
(*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 a #s(literal 3 binary64))
a
#s(literal 3 binary64)
(fma.f64 a a #s(literal 0 binary64))
(*.f64 a a)
#s(literal 0 binary64)

localize89.0ms (2.8%)

Memory

-23.4MiB live, 216.3MiB allocated; 16ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3561325195368841	(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))))
accuracy	0.5840989258319566	(cbrt.f64 g)
accuracy	0.5967751465266304	(cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64))))
accuracy	41.62273474530994	(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))
accuracy	0.37890625	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 a))
accuracy	0.5648613769897464	(cbrt.f64 a)
accuracy	0.5840989258319566	(cbrt.f64 g)
accuracy	1.0	(cbrt.f64 #s(literal 2 binary64))
accuracy	0.37890625	(/.f64 #s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))) (cbrt.f64 a))
accuracy	0.46617128907376815	(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))
accuracy	0.5648613769897464	(cbrt.f64 a)
accuracy	0.5840989258319566	(cbrt.f64 g)
accuracy	0.0	#s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))
accuracy	0.37890625	(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a))
accuracy	0.5648613769897464	(cbrt.f64 a)
accuracy	0.6514626465266304	(cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)))
accuracy	0.35775375976844204	(/.f64 (cbrt.f64 g) (cbrt.f64 a))
accuracy	0.4544525390737681	(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
accuracy	0.5648613769897464	(cbrt.f64 a)
accuracy	0.5840989258319566	(cbrt.f64 g)

Samples

62.0ms

256×

valid

Compiler

Compiled 157 to 31 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 12.0ms (29.9% of total)

ival-mult: 12.0ms (29.9% of total)

ival-cbrt: 10.0ms (24.9% of total)

ival-pow: 4.0ms (10% of total)

ival-add: 1.0ms (2.5% of total)

exact: 1.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

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

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

series46.0ms (1.4%)

Memory

6.8MiB live, 104.4MiB allocated; 9ms collecting garbage

Counts

20 → 23

Calls

Call 1

Inputs
#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 g) (cbrt.f64 a))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
(cbrt.f64 #s(literal 1/2 binary64))
(/.f64 (cbrt.f64 g) (cbrt.f64 a))
(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a))
(cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)))
#s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))
(*.f64 #s(literal 1/2 binary64) g)
(/.f64 #s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))) (cbrt.f64 a))
#s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 a))
(/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64)))
(cbrt.f64 g)
(cbrt.f64 #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))
(fma.f64 a a #s(literal 0 binary64))
(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))))
(cbrt.f64 a)
(cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64))))

Outputs
(* (cbrt (/ g a)) (cbrt 1/2))
(cbrt (/ g a))
(* (cbrt g) (cbrt 1/2))
(* 1/2 g)
(* (cbrt (/ g a)) (/ 1 (cbrt 2)))
(* (cbrt g) (/ 1 (cbrt 2)))
(cbrt g)
(* -1 (* (cbrt (/ g a)) (cbrt -1/2)))
(* -1 (* (cbrt (/ g a)) (* (cbrt -1) (cbrt 1/2))))
(* -1 (* (cbrt (/ g a)) (cbrt -1)))
(* -1 (* (cbrt g) (cbrt -1/2)))
(* -1 (* (cbrt g) (* (cbrt -1) (cbrt 1/2))))
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2))))
(* -1 (* (cbrt g) (/ (cbrt -1) (cbrt 2))))
(* -1 (* (cbrt g) (cbrt -1)))
(* 2 a)
(pow a 2)
(cbrt a)
(* (cbrt a) (cbrt 2))
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2)))
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2)))
(* -1 (* (cbrt a) (cbrt -1)))
(* -1 (* (cbrt a) (cbrt -2)))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	a	@	-inf	((cbrt (/ g (* 2 a))) (* (cbrt 1/2) (/ (cbrt g) (cbrt a))) (cbrt 1/2) (/ (cbrt g) (cbrt a)) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (* 1/2 g) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (* (cbrt 1/2) (cbrt g)) (/ (/ (cbrt g) (cbrt 2)) (cbrt a)) (/ (cbrt g) (cbrt 2)) (cbrt g) (cbrt 2) (/ (* 2 (pow a 3)) (+ (* a a) 0)) (+ (* a a) 0) (/ (cbrt g) (cbrt (/ (* 2 (pow a 3)) (+ (* a a) 0)))) (cbrt a) (cbrt (/ (* 2 (pow a 3)) (+ (* a a) 0))))
11.0ms	g	@	-inf	((cbrt (/ g (* 2 a))) (* (cbrt 1/2) (/ (cbrt g) (cbrt a))) (cbrt 1/2) (/ (cbrt g) (cbrt a)) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (* 1/2 g) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (* (cbrt 1/2) (cbrt g)) (/ (/ (cbrt g) (cbrt 2)) (cbrt a)) (/ (cbrt g) (cbrt 2)) (cbrt g) (cbrt 2) (/ (* 2 (pow a 3)) (+ (* a a) 0)) (+ (* a a) 0) (/ (cbrt g) (cbrt (/ (* 2 (pow a 3)) (+ (* a a) 0)))) (cbrt a) (cbrt (/ (* 2 (pow a 3)) (+ (* a a) 0))))
6.0ms	a	@	inf	((cbrt (/ g (* 2 a))) (* (cbrt 1/2) (/ (cbrt g) (cbrt a))) (cbrt 1/2) (/ (cbrt g) (cbrt a)) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (* 1/2 g) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (* (cbrt 1/2) (cbrt g)) (/ (/ (cbrt g) (cbrt 2)) (cbrt a)) (/ (cbrt g) (cbrt 2)) (cbrt g) (cbrt 2) (/ (* 2 (pow a 3)) (+ (* a a) 0)) (+ (* a a) 0) (/ (cbrt g) (cbrt (/ (* 2 (pow a 3)) (+ (* a a) 0)))) (cbrt a) (cbrt (/ (* 2 (pow a 3)) (+ (* a a) 0))))
6.0ms	g	@	inf	((cbrt (/ g (* 2 a))) (* (cbrt 1/2) (/ (cbrt g) (cbrt a))) (cbrt 1/2) (/ (cbrt g) (cbrt a)) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (* 1/2 g) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (* (cbrt 1/2) (cbrt g)) (/ (/ (cbrt g) (cbrt 2)) (cbrt a)) (/ (cbrt g) (cbrt 2)) (cbrt g) (cbrt 2) (/ (* 2 (pow a 3)) (+ (* a a) 0)) (+ (* a a) 0) (/ (cbrt g) (cbrt (/ (* 2 (pow a 3)) (+ (* a a) 0)))) (cbrt a) (cbrt (/ (* 2 (pow a 3)) (+ (* a a) 0))))
6.0ms	g	@	0	((cbrt (/ g (* 2 a))) (* (cbrt 1/2) (/ (cbrt g) (cbrt a))) (cbrt 1/2) (/ (cbrt g) (cbrt a)) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (/ g 2) (* 1/2 g) (/ (cbrt (/ g 2)) (cbrt a)) (cbrt (/ g 2)) (* (cbrt 1/2) (cbrt g)) (/ (/ (cbrt g) (cbrt 2)) (cbrt a)) (/ (cbrt g) (cbrt 2)) (cbrt g) (cbrt 2) (/ (* 2 (pow a 3)) (+ (* a a) 0)) (+ (* a a) 0) (/ (cbrt g) (cbrt (/ (* 2 (pow a 3)) (+ (* a a) 0)))) (cbrt a) (cbrt (/ (* 2 (pow a 3)) (+ (* a a) 0))))

simplify113.0ms (3.5%)

Memory

27.0MiB live, 119.1MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	150
1	121	146
2	262	146
3	546	146
4	1874	146
5	5999	146
0	8034	146

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

Inputs
(* (cbrt (/ g a)) (cbrt 1/2))
(cbrt (/ g a))
(* (cbrt g) (cbrt 1/2))
(* 1/2 g)
(* (cbrt (/ g a)) (/ 1 (cbrt 2)))
(* (cbrt g) (/ 1 (cbrt 2)))
(cbrt g)
(* -1 (* (cbrt (/ g a)) (cbrt -1/2)))
(* -1 (* (cbrt (/ g a)) (* (cbrt -1) (cbrt 1/2))))
(* -1 (* (cbrt (/ g a)) (cbrt -1)))
(* -1 (* (cbrt g) (cbrt -1/2)))
(* -1 (* (cbrt g) (* (cbrt -1) (cbrt 1/2))))
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2))))
(* -1 (* (cbrt g) (/ (cbrt -1) (cbrt 2))))
(* -1 (* (cbrt g) (cbrt -1)))
(* 2 a)
(pow a 2)
(cbrt a)
(* (cbrt a) (cbrt 2))
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2)))
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2)))
(* -1 (* (cbrt a) (cbrt -1)))
(* -1 (* (cbrt a) (cbrt -2)))

Outputs
(* (cbrt (/ g a)) (cbrt 1/2))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))
(cbrt (/ g a))
(cbrt.f64 (/.f64 g a))
(* (cbrt g) (cbrt 1/2))
(*.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 1/2 binary64)))
(* 1/2 g)
(*.f64 #s(literal 1/2 binary64) g)
(* (cbrt (/ g a)) (/ 1 (cbrt 2)))
(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64)))
(* (cbrt g) (/ 1 (cbrt 2)))
(/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64)))
(cbrt g)
(cbrt.f64 g)
(* -1 (* (cbrt (/ g a)) (cbrt -1/2)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 g a)))
(* -1 (* (cbrt (/ g a)) (* (cbrt -1) (cbrt 1/2))))
(.f64 (.f64 (neg.f64 (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (/.f64 g a))) (cbrt.f64 #s(literal -1 binary64)))
(* -1 (* (cbrt (/ g a)) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (cbrt.f64 (/.f64 g a)))
(* -1 (* (cbrt g) (cbrt -1/2)))
(neg.f64 (*.f64 (cbrt.f64 #s(literal -1/2 binary64)) (cbrt.f64 g)))
(* -1 (* (cbrt g) (* (cbrt -1) (cbrt 1/2))))
(neg.f64 (.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 g)))
(* -1 (* (cbrt (/ g a)) (/ (cbrt -1) (cbrt 2))))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -1 binary64))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))))
(* -1 (* (cbrt g) (/ (cbrt -1) (cbrt 2))))
(neg.f64 (*.f64 (/.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 g)))
(* -1 (* (cbrt g) (cbrt -1)))
(neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 g)))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(pow a 2)
(*.f64 a a)
(cbrt a)
(cbrt.f64 a)
(* (cbrt a) (cbrt 2))
(*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64)))
(* (cbrt (/ g a)) (* (cbrt -1) (cbrt -1/2)))
(.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 g a)))
(* (cbrt (/ g a)) (/ (cbrt -1) (cbrt -2)))
(/.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (/.f64 g a))) (cbrt.f64 #s(literal -2 binary64)))
(* -1 (* (cbrt a) (cbrt -1)))
(*.f64 (neg.f64 (cbrt.f64 a)) (cbrt.f64 #s(literal -1 binary64)))
(* -1 (* (cbrt a) (cbrt -2)))
(*.f64 (neg.f64 (cbrt.f64 #s(literal -2 binary64))) (cbrt.f64 a))

rewrite24.0ms (0.7%)

Memory

-8.3MiB live, 38.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	145
0	53	131
0	144	131

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

20 → 56

Calls

Call 1

Inputs
#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 g) (cbrt.f64 a))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))
(cbrt.f64 #s(literal 1/2 binary64))
(/.f64 (cbrt.f64 g) (cbrt.f64 a))
(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a))
(cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)))
#s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))
(*.f64 #s(literal 1/2 binary64) g)
(/.f64 #s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))) (cbrt.f64 a))
#s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 a))
(/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64)))
(cbrt.f64 g)
(cbrt.f64 #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))
(fma.f64 a a #s(literal 0 binary64))
(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))))
(cbrt.f64 a)
(cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64))))

Outputs
#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a)))
(/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) g)) (cbrt.f64 a))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/3 binary64))
(cbrt.f64 #s(literal 1/2 binary64))
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 a)))
(/.f64 (cbrt.f64 g) (cbrt.f64 a))
(cbrt.f64 (/.f64 g a))
(/.f64 (neg.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)))) (neg.f64 (cbrt.f64 a)))
(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a))
(cbrt.f64 (/.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)) a))
(pow.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)) #s(literal 1/3 binary64))
(cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)))
#s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))
(*.f64 #s(literal 1/2 binary64) g)
(*.f64 g #s(literal 1/2 binary64))
(/.f64 (neg.f64 #s(approx (cbrt (/ g 2)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) g)))) (neg.f64 (cbrt.f64 a)))
(/.f64 #s(approx (cbrt (/ g 2)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a))
#s(approx (cbrt (/ g 2)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) g)))
(*.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) g))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64)))) (neg.f64 (cbrt.f64 a)))
(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a))
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 a)))
(pow.f64 (/.f64 g #s(literal 2 binary64)) #s(literal 1/3 binary64))
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 #s(literal 2 binary64))))
(/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64)))
(cbrt.f64 (/.f64 g #s(literal 2 binary64)))
(pow.f64 g #s(literal 1/3 binary64))
(cbrt.f64 g)
(pow.f64 #s(literal 2 binary64) #s(literal 1/3 binary64))
(cbrt.f64 #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 a a)))
(/.f64 (neg.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (.f64 a a)))
(/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 a a))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 a a)
(pow.f64 a #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (.f64 a a) (.f64 a a)) #s(literal 0 binary64)) (-.f64 (.f64 a a) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 a a) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (.f64 a a) (.f64 a a) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 a a) #s(literal 0 binary64)))))
(fma.f64 (neg.f64 a) (neg.f64 a) #s(literal 0 binary64))
(fma.f64 (fabs.f64 a) (fabs.f64 a) #s(literal 0 binary64))
(fma.f64 a a #s(literal 0 binary64))
(+.f64 (*.f64 a a) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 a a))
(/.f64 (neg.f64 (cbrt.f64 g)) (neg.f64 (cbrt.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 a a)))))
(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 a a))))
(cbrt.f64 (/.f64 g (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 a a))))
(pow.f64 a #s(literal 1/3 binary64))
(cbrt.f64 a)
(pow.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 a a)) #s(literal 1/3 binary64))
(/.f64 (cbrt.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64))) (cbrt.f64 (.f64 a a)))
(cbrt.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 a a)))

eval64.0ms (2%)

Memory: -6.7MiB live, 36.8MiB allocated; 55ms collecting garbage
Compiler: Compiled 1 529 to 297 computations (80.6% saved)

prune13.0ms (0.4%)

Memory

-17.2MiB live, 35.1MiB allocated; 3ms collecting garbage

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	2	2	4
Picked	1	4	5
Done	0	6	6
Total	103	16	119

Accuracy

99.9%

Counts

119 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	33.3%	(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64))
	43.8%	(/.f64 (pow.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)) #s(literal 1/3 binary64)) (cbrt.f64 a))
	98.1%	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (cbrt.f64 #s(literal 2 binary64)))
✓	98.3%	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 a))
✓	98.7%	(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a))
	98.7%	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (pow.f64 #s(literal 2 binary64) #s(literal 1/3 binary64))))
✓	98.2%	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64))))
	33.6%	(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 a a))))
✓	98.7%	(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a)))
✓	98.6%	(/.f64 #s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))) (cbrt.f64 a))
	31.3%	(cbrt.f64 (/.f64 g (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 a a))))
✓	76.7%	(cbrt.f64 (/.f64 g (+.f64 a a)))
✓	76.7%	(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))))
	76.0%	#s(approx (/ (/ (cbrt g) (cbrt 2)) (cbrt a)) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))))
✓	98.7%	#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 g) (cbrt.f64 a))))
✓	76.7%	#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a))))

Compiler

Compiled 456 to 251 computations (45% saved)

regimes35.0ms (1.1%)

Memory

7.4MiB live, 101.2MiB allocated; 3ms collecting garbage

Counts

25 → 1

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 g (+.f64 a a)))
(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64))
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))))
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))
(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a)))
#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 g a))))
(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a #s(literal 2 binary64))))
(/.f64 (cbrt.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g))) (cbrt.f64 a))
(/.f64 (pow.f64 #s(approx (/ g 2) (*.f64 #s(literal 1/2 binary64) g)) #s(literal 1/3 binary64)) (cbrt.f64 a))
#s(approx (/ (cbrt g) (cbrt (* a 2))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))))
#s(approx (/ (cbrt g) (cbrt (+ a a))) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))))
#s(approx (/ (/ (cbrt g) (cbrt 2)) (cbrt a)) (/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 #s(literal 2 binary64))))
(/.f64 (cbrt.f64 (/.f64 g #s(literal 2 binary64))) (cbrt.f64 a))
(cbrt.f64 (/.f64 g (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 a a))))
#s(approx (cbrt (/ g (* 2 a))) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (/.f64 (cbrt.f64 g) (cbrt.f64 a))))
(/.f64 #s(approx (cbrt (/ g 2)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 g))) (cbrt.f64 a))
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (cbrt.f64 #s(literal 2 binary64))))
(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 a) (pow.f64 #s(literal 2 binary64) #s(literal 1/3 binary64))))
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 a))
(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (cbrt.f64 #s(literal 2 binary64)))
(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 a a))))
(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64)))))
(cbrt.f64 (/.f64 g (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))))
(/.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 a a) (.f64 a a))))))

Outputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a)))

Calls

5 calls:

7.0ms	g
7.0ms	(/.f64 g (*.f64 #s(literal 2 binary64) a))
7.0ms	a
6.0ms	(*.f64 #s(literal 2 binary64) a)
6.0ms	(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))

Results

Accuracy	Segments	Branch
98.7%	1	`(*.f64 #s(literal 2 binary64) a)`
98.7%	1	`(/.f64 g (*.f64 #s(literal 2 binary64) a))`
98.7%	1	`(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))`
98.7%	1	`g`
98.7%	1	`a`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes13.0ms (0.4%)

Memory

-11.6MiB live, 36.7MiB allocated; 6ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 g (+.f64 a a)))
(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64))
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))))
(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))
(pow.f64 (/.f64 g (*.f64 a #s(literal 2 binary64))) #s(literal 1/3 binary64))

Outputs
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))))

Calls

5 calls:

4.0ms	(*.f64 #s(literal 2 binary64) a)
2.0ms	g
2.0ms	(/.f64 g (*.f64 #s(literal 2 binary64) a))
2.0ms	a
2.0ms	(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))

Results

Accuracy	Segments	Branch
76.7%	1	`(*.f64 #s(literal 2 binary64) a)`
76.7%	1	`a`
76.7%	1	`(/.f64 g (*.f64 #s(literal 2 binary64) a))`
76.7%	1	`(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))`
76.7%	1	`g`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes7.0ms (0.2%)

Memory

23.7MiB live, 23.7MiB allocated; 0ms collecting garbage

Accuracy

Total -27.8b remaining (-185.9%)

Threshold costs -27.8b (-185.9%)

Counts

2 → 1

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 g (+.f64 a a)))
(pow.f64 (/.f64 g (+.f64 a a)) #s(literal 1/3 binary64))

Outputs
(cbrt.f64 (/.f64 g (+.f64 a a)))

Calls

5 calls:

1.0ms	g
1.0ms	(*.f64 #s(literal 2 binary64) a)
1.0ms	a
1.0ms	(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))
1.0ms	(/.f64 g (*.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
76.7%	1	`(/.f64 g (*.f64 #s(literal 2 binary64) a))`
76.7%	1	`(cbrt.f64 (/.f64 g (*.f64 #s(literal 2 binary64) a)))`
76.7%	1	`g`
76.7%	1	`(*.f64 #s(literal 2 binary64) a)`
76.7%	1	`a`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

simplify42.0ms (1.3%)

Memory

-9.7MiB live, 84.7MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	22	25
2	31	25
3	51	25
4	122	25
5	863	25
6	6302	25

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a)))
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))))
(cbrt.f64 (/.f64 g (+.f64 a a)))

Outputs
(/.f64 (cbrt.f64 g) (cbrt.f64 (+.f64 a a)))
(cbrt.f64 #s(approx (/ g (* 2 a)) (*.f64 g (/.f64 #s(literal 1/2 binary64) a))))
(cbrt.f64 (/.f64 g (+.f64 a a)))

derivations143.0ms (4.5%)

Memory

-1.3MiB live, 234.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
0	9	14
1	23	14
0	87	14
0	18	31
1	35	31
2	61	31
3	81	31
4	143	31
5	468	31
6	3305	31
0	8381	31
0	26	100
0	42	96
0	104	96

Stop Event

1×	fuel
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Compiler

Compiled 25 to 16 computations (36% saved)

preprocess34.0ms (1.1%)

Memory: -8.6MiB live, 85.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 62 to 44 computations (29% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze11.0ms (0.4%)

sample769.0ms (24.1%)

explain66.0ms (2.1%)

preprocess185.0ms (5.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify101.0ms (3.2%)

localize32.0ms (1%)

series35.0ms (1.1%)

simplify153.0ms (4.8%)

rewrite42.0ms (1.3%)

eval3.0ms (0.1%)

prune6.0ms (0.2%)

simplify157.0ms (4.9%)

localize113.0ms (3.5%)

series70.0ms (2.2%)

simplify97.0ms (3%)

rewrite21.0ms (0.7%)

eval7.0ms (0.2%)

prune7.0ms (0.2%)

simplify98.0ms (3.1%)

localize132.0ms (4.1%)

series63.0ms (2%)

simplify184.0ms (5.8%)

rewrite95.0ms (3%)

eval18.0ms (0.5%)

prune8.0ms (0.3%)

simplify99.0ms (3.1%)

localize89.0ms (2.8%)

series46.0ms (1.4%)

simplify113.0ms (3.5%)

rewrite24.0ms (0.7%)

eval64.0ms (2%)

prune13.0ms (0.4%)

regimes35.0ms (1.1%)

regimes13.0ms (0.4%)

regimes7.0ms (0.2%)

simplify42.0ms (1.3%)

derivations143.0ms (4.5%)

preprocess34.0ms (1.1%)

end0.0ms (0%)

Profiling