Details

analyze108.0ms (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
37.5%	37.5%	25.1%	2
37.5%	18.7%	43.8%	3
46.8%	9.4%	43.8%	4
51.5%	4.7%	43.8%	5
51.5%	2.3%	46.1%	6
52.7%	1.2%	46.1%	7
53.3%	0.6%	46.1%	8
53.3%	0.3%	46.4%	9
53.4%	0.1%	46.4%	10
53.5%	0.1%	46.4%	11
53.5%	0%	46.5%	12
53.5%	0%	46.5%	13
53.5%	0%	46.5%	14

Compiler

Compiled 71 to 33 computations (53.5% saved)

sample53.0ms (0.9%)

Algorithm

1×

intervals

Results

39.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 140 to 65 computations (53.6% saved)

simplify95.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1509×	`associate-/l*_binary64`
1334×	`associate-/r*_binary64`
744×	`distribute-lft-out_binary64`
549×	`unswap-sqr_binary64`
452×	`associate-*r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	32	77
1	73	62
2	218	45
3	773	41
4	1394	41
5	3040	41
6	3379	41
7	3543	39
8	2136	39
9	2622	39
10	2670	39
11	4941	39

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 2

Alt Table

Status	Error	Program
	0.5b	(fabs.f64 (/.f64 (+.f64 (+.f64 (+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3))) (.f64 1/5 (pow.f64 x 5))) (.f64 1/21 (pow.f64 x 7))) (sqrt.f64 PI.f64)))
▶	0.2b	(fabs.f64 (.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

Status

Error

Program

0.5b

(fabs.f64 (/.f64 (+.f64 (+.f64 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))) (*.f64 1/5 (pow.f64 x 5))) (*.f64 1/21 (pow.f64 x 7))) (sqrt.f64 PI.f64)))

▶

0.2b

(fabs.f64 (*.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (*.f64 2 (fabs.f64 x)) (*.f64 (/.f64 2 3) (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 5) (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (*.f64 (/.f64 1 21) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x))))))

Compiler

Compiled 214 to 128 computations (40.2% saved)

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
0.1b	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
0.2b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)

rewrite378.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

119×	`add-exp-log_binary64`
76×	`prod-exp_binary64`
75×	`add-cbrt-cube_binary64`
48×	`associate-l_binary64`
46×	`add-sqr-sqrt_binary64`

Counts

4 → 169

Calls

4 calls:

35.0ms	(.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
30.0ms	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
12.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 13713 to 4683 computations (65.8% saved)

series82.0ms (1.3%)

Error

0.0b

Counts

4 → 9

Calls

4 calls:

49.0ms	(.f64 (/.f64 1 (sqrt.f64 PI.f64)) (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))) (.f64 (/.f64 1 21) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))))
14.0ms	(.f64 (/.f64 1 5) (.f64 (.f64 (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)) (fabs.f64 x)))
11.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1079 to 618 computations (42.7% saved)

simplify191.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

565×	`associate-r_binary64`
472×	`associate-l_binary64`
409×	`cancel-sign-sub-inv_binary64`
379×	`unswap-sqr_binary64`
225×	`*-commutative_binary64`

Counts

178 → 154

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	7482
1	898	5888
2	3502	5163
3	5117	5163

prune170.0ms (2.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	149	5	154
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	151	5	156

Error

0.0b

Counts

156 → 5

Alt Table

Status	Error	Program
	1.3b	(fabs.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 PI.f64))) (cbrt.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 PI.f64)))) (cbrt.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 PI.f64)))))
	29.4b	(fabs.f64 (/.f64 (/.f64 (+.f64 (.f64 21 (+.f64 (.f64 5 (+.f64 (.f64 (.f64 x x) 4) (.f64 -4/9 (pow.f64 (fabs.f64 x) 6)))) (.f64 (pow.f64 (fabs.f64 x) 5) (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x))))))) (.f64 (pow.f64 (fabs.f64 x) 7) (.f64 5 (.f64 (fabs.f64 x) (-.f64 2 (.f64 2/3 (.f64 x x))))))) (sqrt.f64 PI.f64)) (.f64 (.f64 (-.f64 (.f64 2 (fabs.f64 x)) (.f64 (/.f64 2 3) (.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))) 5) 21)))
	0.5b	(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 PI.f64)))
	0.7b	(fabs.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 PI.f64))) (sqrt.f64 (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7)))))) (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 PI.f64))) (sqrt.f64 (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7))))))))
▶	0.2b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 PI.f64)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7))))))

Compiler

Compiled 6450 to 3248 computations (49.6% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
0.1b	(.f64 (sqrt.f64 (/.f64 1 PI.f64)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7)))))
0.1b	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
0.2b	(.f64 2/3 (.f64 x x))

rewrite214.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

52×	`add-sqr-sqrt_binary64`
26×	`associate-r_binary64`
25×	`associate-l_binary64`
23×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`

Counts

4 → 122

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (/.f64 1 PI.f64)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7)))))
6.0ms	(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
6.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
5.0ms	(.f64 2/3 (.f64 x x))

Compiler

Compiled 4632 to 3141 computations (32.2% saved)

series109.0ms (1.8%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

56.0ms	(.f64 (sqrt.f64 (/.f64 1 PI.f64)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7)))))
19.0ms	(*.f64 1/21 (pow.f64 (fabs.f64 x) 7))
15.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
9.0ms	(.f64 2/3 (.f64 x x))

Compiler

Compiled 1164 to 900 computations (22.7% saved)

simplify204.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

351×	`cancel-sign-sub-inv_binary64`
322×	`exp-prod_binary64`
257×	`associate-l_binary64`
249×	`associate-r_binary64`
205×	`distribute-rgt-neg-in_binary64`

Counts

137 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	4152
1	598	3616
2	1821	3097
3	2903	3097
4	4550	3097
5	4885	3097
6	4915	3097

prune120.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	118	4	122

Error

Counts

122 → 4

Alt Table

Status	Error	Program
	1.3b	(fabs.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 PI.f64))) (cbrt.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 PI.f64)))) (cbrt.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 PI.f64)))))
	0.9b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)))) (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 x (+.f64 2 (.f64 2/3 (.f64 x x)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 PI.f64))))))
▶	0.5b	(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 x (+.f64 2 (.f64 2/3 (*.f64 x x)))))) (sqrt.f64 PI.f64)))
✓	0.2b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 PI.f64)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7))))))

Compiler

Compiled 3398 to 2428 computations (28.5% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/5 (pow.f64 x 5))
0.2b	(.f64 2/3 (.f64 x x))
0.3b	(/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 x (+.f64 2 (.f64 2/3 (*.f64 x x)))))) (sqrt.f64 PI.f64))
1.0b	(sqrt.f64 PI.f64)

rewrite177.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`
16×	`add-exp-log_binary64`

Counts

4 → 98

Calls

4 calls:

12.0ms	(/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 x (+.f64 2 (.f64 2/3 (*.f64 x x)))))) (sqrt.f64 PI.f64))
6.0ms	(*.f64 1/5 (pow.f64 x 5))
5.0ms	(.f64 2/3 (.f64 x x))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 3322 to 2294 computations (30.9% saved)

series57.0ms (0.9%)

Error

Counts

4 → 18

Calls

4 calls:

27.0ms	(/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 x (+.f64 2 (.f64 2/3 (*.f64 x x)))))) (sqrt.f64 PI.f64))
9.0ms	(.f64 2/3 (.f64 x x))
8.0ms	(*.f64 1/5 (pow.f64 x 5))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 861 to 716 computations (16.8% saved)

simplify140.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

736×	`associate-l_binary64`
632×	`associate-r_binary64`
369×	`distribute-rgt-in_binary64`
345×	`distribute-lft-in_binary64`
165×	`times-frac_binary64`

Counts

116 → 55

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	3613
1	400	3421
2	1116	3292
3	4610	3292
4	5047	3292

prune44.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	55	4	59

Error

Counts

59 → 4

Alt Table

Status	Error	Program
	1.3b	(fabs.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 PI.f64))) (cbrt.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 PI.f64)))) (cbrt.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 PI.f64)))))
▶	0.9b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)))) (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 x (+.f64 2 (.f64 2/3 (.f64 x x)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 PI.f64))))))
✓	0.5b	(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 x (+.f64 2 (.f64 2/3 (*.f64 x x)))))) (sqrt.f64 PI.f64)))
✓	0.2b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 PI.f64)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7))))))

Compiler

Compiled 1437 to 1034 computations (28% saved)

localize38.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 PI.f64)
1.0b	(cbrt.f64 PI.f64)
1.0b	(*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))
1.0b	(/.f64 1 (*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)))

rewrite109.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64`
22×	`cbrt-prod_binary64`
19×	`pow1_binary64`
17×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64`

Counts

4 → 97

Calls

4 calls:

5.0ms	(/.f64 1 (*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)))
5.0ms	(*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))
1.0ms	(cbrt.f64 PI.f64)
1.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 3655 to 2348 computations (35.8% saved)

series1.0ms (0%)

Error

Counts

4 → 0

Calls

4 calls:

0.0ms	(/.f64 1 (*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)))
0.0ms	(*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))
0.0ms	(cbrt.f64 PI.f64)
0.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 0 to 0 computations (0% saved)

simplify137.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

587×	`associate-/l/_binary64`
523×	`sqr-pow_binary64`
494×	`unswap-sqr_binary64`
411×	`associate-*l/_binary64`
315×	`distribute-rgt-in_binary64`

Counts

97 → 78

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	72	1095
1	112	943
2	287	850
3	862	816
4	2188	663
5	3170	663
6	4050	663
7	4775	652
8	4795	652

prune56.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	78	4	82

Error

Counts

82 → 4

Alt Table

Status	Error	Program
	1.3b	(fabs.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 PI.f64))) (cbrt.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 PI.f64)))) (cbrt.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (*.f64 1/21 (pow.f64 (fabs.f64 x) 7)))) (sqrt.f64 PI.f64)))))
	0.9b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64)))) (.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 x (+.f64 2 (.f64 2/3 (.f64 x x)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 PI.f64))))))
	0.5b	(fabs.f64 (/.f64 (+.f64 (.f64 1/5 (pow.f64 x 5)) (+.f64 (.f64 1/21 (pow.f64 x 7)) (.f64 x (+.f64 2 (.f64 2/3 (*.f64 x x)))))) (sqrt.f64 PI.f64)))
	0.2b	(fabs.f64 (.f64 (sqrt.f64 (/.f64 1 PI.f64)) (+.f64 (.f64 1/5 (pow.f64 (fabs.f64 x) 5)) (+.f64 (.f64 (fabs.f64 x) (+.f64 (.f64 2/3 (.f64 x x)) 2)) (.f64 1/21 (pow.f64 (fabs.f64 x) 7))))))

Compiler

Compiled 1746 to 1216 computations (30.4% saved)

regimes1.7s (27.3%)

Accuracy

Total 0.1b remaining (84.3%)

Threshold costs 0.1b (84.3%)

Compiler

Compiled 44196 to 25911 computations (41.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
3×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	80
1	43	80
2	42	80

end1.0ms (0%)

Compiler: Compiled 49 to 38 computations (22.4% saved)

sample1.8s (30.4%)

Algorithm

1×

intervals

Results

1.2s	8000×	body	128	valid
116.0ms	8001×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 304 to 205 computations (32.6% saved)

Details

analyze108.0ms (1.8%)

sample53.0ms (0.9%)

simplify95.0ms (1.6%)

prune5.0ms (0.1%)

localize31.0ms (0.5%)

rewrite378.0ms (6.2%)

series82.0ms (1.3%)

simplify191.0ms (3.1%)

prune170.0ms (2.8%)

localize21.0ms (0.4%)

rewrite214.0ms (3.5%)

series109.0ms (1.8%)

simplify204.0ms (3.4%)

prune120.0ms (2%)

localize23.0ms (0.4%)

rewrite177.0ms (2.9%)

series57.0ms (0.9%)

simplify140.0ms (2.3%)

prune44.0ms (0.7%)

localize38.0ms (0.6%)

rewrite109.0ms (1.8%)

series1.0ms (0%)

simplify137.0ms (2.2%)

prune56.0ms (0.9%)

regimes1.7s (27.3%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.8s (30.4%)

Profiling