Details

analyze810.0ms (1.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample66.0ms (0.2%)

Algorithm

1×

intervals

Results

36.0ms	120×	body	2048	valid
15.0ms	73×	body	1024	valid
6.0ms	37×	body	512	valid
1.0ms	12×	body	256	valid
1.0ms	14×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify172.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

prune5.0ms (0%)

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

0.5b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
0.2b	(.f64 5 (.f64 v v))
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite23.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_2487`
19×	`*-un-lft-identity_binary64_2465`
18×	`times-frac_binary64_2471`
15×	`add-cube-cbrt_binary64_2500`
10×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`difference-of-squares_binary64_2434` `pow1_binary64_2526`
6×	`associate-/r*_binary64_2409`
4×	`difference-of-sqr-1_binary64_2435`
3×	`add-log-exp_binary64_2504` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `associate-/l_binary64_2410` `associate-l*_binary64_2406` `cbrt-unprod_binary64_2498`
2×	`flip--_binary64_2440` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `flip3--_binary64_2469`
1×	`-commutative_binary64_2396` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-sub_binary64_2470` `unswap-sqr_binary64_2433` `div-exp_binary64_2516` `div-inv_binary64_2462` `frac-2neg_binary64_2476` `associate-r*_binary64_2405` `acos-asin_binary64_2646`

Counts

3 → 71

Calls

6 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
7.0ms	(.f64 5 (.f64 v v))
2.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
0.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.0ms	(.f64 5 (.f64 v v))

series78.0ms (0.2%)

Counts

3 → 11

Calls

3 calls:

30.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
26.0ms	(.f64 5 (.f64 v v))
22.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 238 to 220 computations (7.6% saved)

simplify65.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4946	1763
1	4946	1763

prune303.0ms (0.7%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	47	35	82
Fresh	0	0	0
Picked	0	0	0
Done	0	1	1
Total	47	36	83

Error

0.5b

Counts

83 → 36

Compiler

Compiled 2139 to 1429 computations (33.2% saved)

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(acos.f64 (+.f64 -1 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))))
0.0b	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
0.0b	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
0.5b	(acos.f64 (+.f64 -1 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))))

rewrite14.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
3×	`-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `associate-l*_binary64_2406` `cbrt-unprod_binary64_2498`
2×	`associate-l/_binary64_2408` `add-log-exp_binary64_2504` `associate-r/_binary64_2407`
1×	`flip3-+_binary64_2468` `-commutative_binary64_2396` `flip-+_binary64_2439` `associate-r*_binary64_2405` `acos-asin_binary64_2646`

Counts

2 → 28

Calls

4 calls:

10.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
1.0ms	(acos.f64 (+.f64 -1 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))))
0.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
0.0ms	(acos.f64 (+.f64 -1 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))))

series107.0ms (0.3%)

Counts

2 → 9

Calls

2 calls:

85.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
22.0ms	(acos.f64 (+.f64 -1 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))))

Compiler

Compiled 192 to 180 computations (6.3% saved)

simplify47.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5038	593

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

localize12.0ms (0%)

Local error

Found 6 expressions with local error:

0.5b	(acos.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (+.f64 (.f64 v v) 1)))
0.2b	(.f64 5 (.f64 v v))
0.0b	(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (+.f64 (.f64 v v) 1))
0.0b	(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (+.f64 (.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (+.f64 (.f64 v v) 1)))

rewrite41.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`associate-l_binary64_2406`
28×	`add-sqr-sqrt_binary64_2487`
22×	`*-un-lft-identity_binary64_2465` `times-frac_binary64_2471`
16×	`add-cube-cbrt_binary64_2500`
13×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
10×	`pow1_binary64_2526`
9×	`difference-of-sqr--1_binary64_2436`
5×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
4×	`associate-r_binary64_2405` `pow-prod-down_binary64_2536`
3×	`flip3-+_binary64_2468` `add-log-exp_binary64_2504` `flip-+_binary64_2439` `unswap-sqr_binary64_2433` `unpow-prod-down_binary64_2544` `sqr-pow_binary64_2437` `distribute-lft-out_binary64_2416`
2×	`-commutative_binary64_2396` `frac-times_binary64_2475` `associate-r/_binary64_2407` `associate-/r/_binary64_2411`
1×	`associate-*l/_binary64_2408` `distribute-lft-in_binary64_2414` `cbrt-undiv_binary64_2499` `distribute-rgt-in_binary64_2415` `div-exp_binary64_2516` `div-inv_binary64_2462` `acos-asin_binary64_2646`

Counts

3 → 79

Calls

6 calls:

20.0ms	(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (+.f64 (.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (+.f64 (.f64 v v) 1)))
0.0ms	(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (+.f64 (.f64 v v) 1))
0.0ms	(.f64 5 (.f64 v v))

series96.0ms (0.2%)

Counts

3 → 11

Calls

3 calls:

38.0ms

(*.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (+.f64 (*.f64 v v) 1))

29.0ms

(acos.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (+.f64 (*.f64 v v) 1)))

29.0ms

(*.f64 5 (*.f64 v v))

Compiler

Compiled 310 to 280 computations (9.7% saved)

simplify50.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4976	1912
1	4976	1912

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (sqrt.f64 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 5 (*.f64 v v))))
0.2b	(.f64 5 (.f64 v v))
0.2b	(.f64 5 (.f64 v v))
0.0b	(/.f64 (-.f64 1 (.f64 (sqrt.f64 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 5 (.f64 v v))))) (-.f64 (.f64 v v) 1))
0.3b	(.f64 (sqrt.f64 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 5 (*.f64 v v))))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 (sqrt.f64 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 5 (.f64 v v))))) (-.f64 (.f64 v v) 1)))
26.9b	(sqrt.f64 (.f64 5 (.f64 v v)))
26.9b	(sqrt.f64 (.f64 5 (.f64 v v)))

rewrite34.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

143×	`pow1_binary64_2526`
77×	`pow-prod-down_binary64_2536`
66×	`sqrt-pow1_binary64_2483`
17×	`pow-prod-up_binary64_2535`
14×	`pow1/2_binary64_2545`
11×	`pow-sqr_binary64_2438`
10×	`add-sqr-sqrt_binary64_2487`
8×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
6×	`sqrt-prod_binary64_2481` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`add-log-exp_binary64_2504` `swap-sqr_binary64_2432` `associate-r_binary64_2405` `associate-l_binary64_2406`
1×	`*-commutative_binary64_2396` `pow-plus_binary64_2528` `sqrt-unprod_binary64_2485` `rem-square-sqrt_binary64_2477` `unswap-sqr_binary64_2433` `pow2_binary64_2546` `prod-exp_binary64_2514` `acos-asin_binary64_2646` `cbrt-unprod_binary64_2498`

Counts

4 → 98

Calls

8 calls:

14.0ms	(.f64 (sqrt.f64 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 5 (*.f64 v v))))
5.0ms	(sqrt.f64 (.f64 5 (.f64 v v)))
5.0ms	(sqrt.f64 (.f64 5 (.f64 v v)))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 (sqrt.f64 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 5 (.f64 v v))))) (-.f64 (.f64 v v) 1)))
0.0ms	(/.f64 (-.f64 1 (.f64 (sqrt.f64 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 5 (.f64 v v))))) (-.f64 (.f64 v v) 1))

series137.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(.f64 (sqrt.f64 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 5 (*.f64 v v))))
31.0ms	(sqrt.f64 (.f64 5 (.f64 v v)))
29.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 (sqrt.f64 (.f64 5 (.f64 v v))) (sqrt.f64 (.f64 5 (.f64 v v))))) (-.f64 (.f64 v v) 1)))
27.0ms	(sqrt.f64 (.f64 5 (.f64 v v)))

Compiler

Compiled 452 to 374 computations (17.3% saved)

simplify69.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5714	880

localize15.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.2b	(.f64 5 (.f64 v v))
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

rewrite21.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_2487`
24×	`sqrt-prod_binary64_2481`
21×	`pow1_binary64_2526`
14×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
10×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483`
8×	`swap-sqr_binary64_2432`
6×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-r_binary64_2405` `associate-l_binary64_2406`
5×	`pow-prod-up_binary64_2535`
4×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433` `rem-sqrt-square_binary64_2478`
3×	`pow-prod-down_binary64_2536` `pow-sqr_binary64_2438`
1×	`sqr-abs_binary64_2480` `*-commutative_binary64_2396` `pow-plus_binary64_2528` `sqrt-unprod_binary64_2485` `rem-square-sqrt_binary64_2477` `pow2_binary64_2546` `prod-exp_binary64_2514` `acos-asin_binary64_2646` `cbrt-unprod_binary64_2498`

Counts

4 → 84

Calls

8 calls:

7.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
0.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

series137.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
43.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
25.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
23.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 642 to 528 computations (17.8% saved)

simplify73.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5552	2247

prune3.5s (8.3%)

Pruning

112 alts after pruning (106 fresh and 6 done)

	Pruned	Kept	Total
New	242	91	333
Fresh	15	15	30
Picked	0	0	0
Done	0	6	6
Total	257	112	369

Error

0.5b

Counts

369 → 112

Compiler

Compiled 8198 to 5638 computations (31.2% saved)

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

0.5b	(acos.f64 (+.f64 -1 (.f64 (sqrt.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))) (sqrt.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4))))))
0.0b	(.f64 (sqrt.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))) (sqrt.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4))))
0.0b	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
0.0b	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
0.0b	(.f64 (sqrt.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))) (sqrt.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4))))
0.5b	(acos.f64 (+.f64 -1 (.f64 (sqrt.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))) (sqrt.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4))))))
26.8b	(sqrt.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)))
26.8b	(sqrt.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)))

rewrite58.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

143×	`pow1_binary64_2526`
77×	`pow-prod-down_binary64_2536`
66×	`sqrt-pow1_binary64_2483`
18×	`associate-l/_binary64_2408` `associate-r/_binary64_2407`
17×	`pow-prod-up_binary64_2535`
16×	`sqrt-div_binary64_2482`
14×	`pow1/2_binary64_2545`
11×	`pow-sqr_binary64_2438`
10×	`add-sqr-sqrt_binary64_2487`
8×	`flip3-+_binary64_2468` `*-un-lft-identity_binary64_2465` `flip-+_binary64_2439` `add-cube-cbrt_binary64_2500`
6×	`sqrt-prod_binary64_2481` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`add-log-exp_binary64_2504` `frac-times_binary64_2475` `swap-sqr_binary64_2432` `associate-r_binary64_2405` `associate-l_binary64_2406`
1×	`*-commutative_binary64_2396` `pow-plus_binary64_2528` `sqrt-unprod_binary64_2485` `rem-square-sqrt_binary64_2477` `unswap-sqr_binary64_2433` `pow2_binary64_2546` `prod-exp_binary64_2514` `acos-asin_binary64_2646` `cbrt-unprod_binary64_2498`

Counts

4 → 110

Calls

8 calls:

25.0ms	(.f64 (sqrt.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))) (sqrt.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4))))
11.0ms	(sqrt.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)))
9.0ms	(sqrt.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)))
1.0ms	(acos.f64 (+.f64 -1 (.f64 (sqrt.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))) (sqrt.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4))))))
0.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))

series156.0ms (0.4%)

Counts

4 → 15

Calls

4 calls:

85.0ms	(.f64 (sqrt.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))) (sqrt.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4))))
27.0ms	(acos.f64 (+.f64 -1 (.f64 (sqrt.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))) (sqrt.f64 (.f64 v (*.f64 (+.f64 v (pow.f64 v 3)) 4))))))
21.0ms	(sqrt.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)))
21.0ms	(sqrt.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)))

Compiler

Compiled 428 to 378 computations (11.7% saved)

simplify93.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4918	1701
1	4918	1701

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))
0.0b	(.f64 (.f64 v v) 4)
0.0b	(.f64 (.f64 v v) 4)
0.5b	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

rewrite9.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
4×	`add-sqr-sqrt_binary64_2487`
3×	`-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `prod-exp_binary64_2514` `associate-r*_binary64_2405` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
2×	`add-log-exp_binary64_2504`
1×	`-commutative_binary64_2396` `unswap-sqr_binary64_2433` `associate-l*_binary64_2406` `acos-asin_binary64_2646`

Counts

2 → 27

Calls

4 calls:

6.0ms	(.f64 (.f64 v v) 4)
1.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))
0.0ms	(.f64 (.f64 v v) 4)
0.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

series36.0ms (0.1%)

Counts

2 → 6

Calls

2 calls:

22.0ms	(.f64 (.f64 v v) 4)
13.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

Compiler

Compiled 96 to 96 computations (0% saved)

simplify73.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5431	338

localize13.0ms (0%)

Local error

Found 6 expressions with local error:

0.5b	(acos.f64 (/.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (.f64 (+.f64 (pow.f64 v 4) -1) (+.f64 (*.f64 v v) -1))))
0.2b	(.f64 5 (.f64 v v))
0.0b	(/.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (.f64 (+.f64 (pow.f64 v 4) -1) (+.f64 (*.f64 v v) -1)))
0.0b	(/.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (.f64 (+.f64 (pow.f64 v 4) -1) (+.f64 (*.f64 v v) -1)))
0.2b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (.f64 (+.f64 (pow.f64 v 4) -1) (+.f64 (*.f64 v v) -1))))

rewrite41.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
8×	`frac-times_binary64_2475` `associate-/l/_binary64_2412` `pow1_binary64_2526` `associate-/r/_binary64_2411`
7×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
5×	`add-sqr-sqrt_binary64_2487`
4×	`-un-lft-identity_binary64_2465` `associate-l/_binary64_2408` `add-cube-cbrt_binary64_2500` `associate-*r/_binary64_2407` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516`
3×	`add-log-exp_binary64_2504` `flip--_binary64_2440` `pow-prod-down_binary64_2536` `flip3--_binary64_2469` `associate-l_binary64_2406`
1×	`-commutative_binary64_2396` `times-frac_binary64_2471` `associate-/r_binary64_2409` `clear-num_binary64_2464` `unswap-sqr_binary64_2433` `div-inv_binary64_2462` `frac-2neg_binary64_2476` `associate-r_binary64_2405` `associate-/l*_binary64_2410` `acos-asin_binary64_2646`

Counts

3 → 64

Calls

6 calls:

25.0ms	(/.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (.f64 (+.f64 (pow.f64 v 4) -1) (+.f64 (*.f64 v v) -1)))
6.0ms	(.f64 5 (.f64 v v))
2.0ms	(acos.f64 (/.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (.f64 (+.f64 (pow.f64 v 4) -1) (+.f64 (*.f64 v v) -1))))
0.0ms	(/.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (.f64 (+.f64 (pow.f64 v 4) -1) (+.f64 (*.f64 v v) -1)))
0.0ms	(acos.f64 (/.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (.f64 (+.f64 (pow.f64 v 4) -1) (+.f64 (*.f64 v v) -1))))

series87.0ms (0.2%)

Counts

3 → 11

Calls

3 calls:

34.0ms

(/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (*.f64 (+.f64 (pow.f64 v 4) -1) (+.f64 (*.f64 v v) -1)))

29.0ms

(*.f64 5 (*.f64 v v))

24.0ms

(acos.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (pow.f64 v 4) -1)) (*.f64 (+.f64 (pow.f64 v 4) -1) (+.f64 (*.f64 v v) -1))))

Compiler

Compiled 310 to 280 computations (9.7% saved)

simplify61.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5059	1416

localize15.0ms (0%)

Local error

Found 8 expressions with local error:

0.5b	(acos.f64 (+.f64 (/.f64 (+.f64 (.f64 v v) (neg.f64 (.f64 (pow.f64 v 4) 5))) (+.f64 (pow.f64 v 4) -1)) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1))))
0.2b	(.f64 5 (.f64 v v))
0.1b	(*.f64 (pow.f64 v 4) 5)
0.0b	(+.f64 (/.f64 (+.f64 (.f64 v v) (neg.f64 (.f64 (pow.f64 v 4) 5))) (+.f64 (pow.f64 v 4) -1)) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)))
0.0b	(+.f64 (/.f64 (+.f64 (.f64 v v) (neg.f64 (.f64 (pow.f64 v 4) 5))) (+.f64 (pow.f64 v 4) -1)) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)))
0.1b	(*.f64 (pow.f64 v 4) 5)
0.2b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (+.f64 (/.f64 (+.f64 (.f64 v v) (neg.f64 (.f64 (pow.f64 v 4) 5))) (+.f64 (pow.f64 v 4) -1)) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1))))

rewrite87.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64_2465`
20×	`add-sqr-sqrt_binary64_2487`
18×	`times-frac_binary64_2471`
14×	`add-exp-log_binary64_2503` `distribute-lft-out_binary64_2416`
11×	`add-cbrt-cube_binary64_2501`
10×	`add-cube-cbrt_binary64_2500` `associate-l_binary64_2406`
9×	`pow1_binary64_2526`
6×	`add-log-exp_binary64_2504` `difference-of-sqr--1_binary64_2436` `unpow-prod-down_binary64_2544` `prod-exp_binary64_2514`
4×	`unswap-sqr_binary64_2433` `sqr-pow_binary64_2437` `associate-/r/_binary64_2411` `associate-r_binary64_2405` `cbrt-unprod_binary64_2498`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `div-sub_binary64_2470` `pow-prod-down_binary64_2536` `distribute-rgt-out_binary64_2418`
2×	`associate-+l-_binary64_2400` `*-commutative_binary64_2396` `associate-+r-_binary64_2399` `div-inv_binary64_2462`
1×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `unsub-neg_binary64_2459` `frac-add_binary64_2473` `acos-asin_binary64_2646` `neg-sub0_binary64_2460`

Counts

4 → 80

Calls

8 calls:

55.0ms	(+.f64 (/.f64 (+.f64 (.f64 v v) (neg.f64 (.f64 (pow.f64 v 4) 5))) (+.f64 (pow.f64 v 4) -1)) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)))
10.0ms	(acos.f64 (+.f64 (/.f64 (+.f64 (.f64 v v) (neg.f64 (.f64 (pow.f64 v 4) 5))) (+.f64 (pow.f64 v 4) -1)) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1))))
7.0ms	(.f64 5 (.f64 v v))
6.0ms	(*.f64 (pow.f64 v 4) 5)
0.0ms	(+.f64 (/.f64 (+.f64 (.f64 v v) (neg.f64 (.f64 (pow.f64 v 4) 5))) (+.f64 (pow.f64 v 4) -1)) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)))

series147.0ms (0.3%)

Counts

4 → 14

Calls

4 calls:

42.0ms	(acos.f64 (+.f64 (/.f64 (+.f64 (.f64 v v) (neg.f64 (.f64 (pow.f64 v 4) 5))) (+.f64 (pow.f64 v 4) -1)) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1))))
41.0ms	(+.f64 (/.f64 (+.f64 (.f64 v v) (neg.f64 (.f64 (pow.f64 v 4) 5))) (+.f64 (pow.f64 v 4) -1)) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (pow.f64 v 4) -1)))
32.0ms	(.f64 5 (.f64 v v))
31.0ms	(*.f64 (pow.f64 v 4) 5)

Compiler

Compiled 634 to 538 computations (15.1% saved)

simplify105.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4892	2442
1	4892	2442

localize17.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.2b	(.f64 5 (.f64 v v))
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
1.0b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
1.0b	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))))
1.0b	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)

rewrite34.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_2487`
37×	`sqrt-prod_binary64_2481`
32×	`cbrt-prod_binary64_2496`
18×	`-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `associate-r*_binary64_2405`
12×	`unswap-sqr_binary64_2433`
11×	`cube-prod_binary64_2493` `unpow-prod-down_binary64_2544`
10×	`pow1_binary64_2526`
7×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
6×	`associate-l_binary64_2406`
5×	`sqr-pow_binary64_2437`
4×	`add-log-exp_binary64_2504`
3×	`unpow3_binary64_2531` `pow1/2_binary64_2545` `cube-mult_binary64_2495` `pow-prod-down_binary64_2536` `pow-unpow_binary64_2542` `sqrt-pow1_binary64_2483`
1×	`rem-cube-cbrt_binary64_2488` `*-commutative_binary64_2396` `sqrt-unprod_binary64_2485` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `pow1/3_binary64_2547` `rem-sqrt-square_binary64_2478` `pow-pow_binary64_2537` `prod-exp_binary64_2514` `rem-cbrt-cube_binary64_2489` `cbrt-unprod_binary64_2498`

Counts

4 → 107

Calls

8 calls:

13.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))))
2.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
2.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
1.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))

series195.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

99.0ms	(pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3)
47.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
25.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))))
24.0ms	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))

Compiler

Compiled 678 to 564 computations (16.8% saved)

simplify104.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4871	3804
1	4871	3804

prune9.6s (22.4%)

Pruning

206 alts after pruning (196 fresh and 10 done)

	Pruned	Kept	Total
New	326	120	446
Fresh	25	76	101
Picked	0	0	0
Done	1	10	11
Total	352	206	558

Error

0.5b

Counts

558 → 206

Compiler

Compiled 15267 to 11014 computations (27.9% saved)

localize15.0ms (0%)

Local error

Found 8 expressions with local error:

0.5b	(acos.f64 (-.f64 (/.f64 1 (+.f64 (pow.f64 v 4) -1)) (+.f64 (/.f64 5 (-.f64 1 (/.f64 1 (pow.f64 v 4)))) (.f64 4 (/.f64 (.f64 v v) (+.f64 (pow.f64 v 4) -1))))))
0.1b	(/.f64 1 (pow.f64 v 4))
0.0b	(.f64 4 (/.f64 (.f64 v v) (+.f64 (pow.f64 v 4) -1)))
0.0b	(+.f64 (/.f64 5 (-.f64 1 (/.f64 1 (pow.f64 v 4)))) (.f64 4 (/.f64 (.f64 v v) (+.f64 (pow.f64 v 4) -1))))
0.0b	(.f64 4 (/.f64 (.f64 v v) (+.f64 (pow.f64 v 4) -1)))
0.1b	(/.f64 1 (pow.f64 v 4))
0.5b	(acos.f64 (-.f64 (/.f64 1 (+.f64 (pow.f64 v 4) -1)) (+.f64 (/.f64 5 (-.f64 1 (/.f64 1 (pow.f64 v 4)))) (.f64 4 (/.f64 (.f64 v v) (+.f64 (pow.f64 v 4) -1))))))
0.6b	(/.f64 5 (-.f64 1 (/.f64 1 (pow.f64 v 4))))

rewrite70.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

145×	`add-sqr-sqrt_binary64_2487`
134×	`times-frac_binary64_2471`
113×	`*-un-lft-identity_binary64_2465`
56×	`difference-of-squares_binary64_2434`
47×	`add-cube-cbrt_binary64_2500`
29×	`unpow-prod-down_binary64_2544`
26×	`associate-/r*_binary64_2409`
24×	`add-exp-log_binary64_2503`
21×	`sqr-pow_binary64_2437`
17×	`add-cbrt-cube_binary64_2501`
13×	`associate-r_binary64_2405`
9×	`div-exp_binary64_2516`
8×	`distribute-lft-out--_binary64_2417`
7×	`div-inv_binary64_2462`
6×	`pow1_binary64_2526` `associate-/l*_binary64_2410`
4×	`add-log-exp_binary64_2504` `cbrt-undiv_binary64_2499` `associate-/r/_binary64_2411` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
3×	`rec-exp_binary64_2515` `pow-exp_binary64_2533` `difference-of-sqr--1_binary64_2436` `pow-to-exp_binary64_2534` `1-exp_binary64_2509` `associate-l_binary64_2406`
2×	`clear-num_binary64_2464` `unswap-sqr_binary64_2433` `frac-2neg_binary64_2476`
1×	`flip3-+_binary64_2468` `-commutative_binary64_2396` `flip--_binary64_2440` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `flip-+_binary64_2439` `associate-r/_binary64_2407` `pow-prod-down_binary64_2536` `distribute-lft-out_binary64_2416` `flip3--_binary64_2469` `acos-asin_binary64_2646`

Counts

4 → 188

Calls

8 calls:

19.0ms	(/.f64 5 (-.f64 1 (/.f64 1 (pow.f64 v 4))))
14.0ms	(.f64 4 (/.f64 (.f64 v v) (+.f64 (pow.f64 v 4) -1)))
8.0ms	(acos.f64 (-.f64 (/.f64 1 (+.f64 (pow.f64 v 4) -1)) (+.f64 (/.f64 5 (-.f64 1 (/.f64 1 (pow.f64 v 4)))) (.f64 4 (/.f64 (.f64 v v) (+.f64 (pow.f64 v 4) -1))))))
6.0ms	(/.f64 1 (pow.f64 v 4))
0.0ms	(+.f64 (/.f64 5 (-.f64 1 (/.f64 1 (pow.f64 v 4)))) (.f64 4 (/.f64 (.f64 v v) (+.f64 (pow.f64 v 4) -1))))

series131.0ms (0.3%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(acos.f64 (-.f64 (/.f64 1 (+.f64 (pow.f64 v 4) -1)) (+.f64 (/.f64 5 (-.f64 1 (/.f64 1 (pow.f64 v 4)))) (.f64 4 (/.f64 (.f64 v v) (+.f64 (pow.f64 v 4) -1))))))
37.0ms	(.f64 4 (/.f64 (.f64 v v) (+.f64 (pow.f64 v 4) -1)))
26.0ms	(/.f64 1 (pow.f64 v 4))
24.0ms	(/.f64 5 (-.f64 1 (/.f64 1 (pow.f64 v 4))))

Compiler

Compiled 706 to 626 computations (11.3% saved)

simplify103.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4900	4047
1	4900	4047

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))
0.0b	(.f64 (.f64 v v) 4)
0.0b	(.f64 (.f64 v v) 4)
0.5b	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

rewrite9.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
4×	`add-sqr-sqrt_binary64_2487`
3×	`-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `prod-exp_binary64_2514` `associate-r*_binary64_2405` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
2×	`add-log-exp_binary64_2504`
1×	`-commutative_binary64_2396` `unswap-sqr_binary64_2433` `associate-l*_binary64_2406` `acos-asin_binary64_2646`

Counts

2 → 27

Calls

4 calls:

6.0ms	(.f64 (.f64 v v) 4)
1.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))
0.0ms	(.f64 (.f64 v v) 4)
0.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

series39.0ms (0.1%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(.f64 (.f64 v v) 4)
14.0ms	(acos.f64 (+.f64 -1 (.f64 (.f64 v v) 4)))

Compiler

Compiled 120 to 120 computations (0% saved)

simplify73.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5431	338

localize10.0ms (0%)

Local error

Found 6 expressions with local error:

10.0b	(/.f64 (*.f64 4 (-.f64 (pow.f64 v 3) (pow.f64 v 7))) (-.f64 v (pow.f64 v 3)))
0.5b	(acos.f64 (+.f64 -1 (/.f64 (*.f64 4 (-.f64 (pow.f64 v 3) (pow.f64 v 7))) (-.f64 v (pow.f64 v 3)))))
0.0b	(*.f64 4 (-.f64 (pow.f64 v 3) (pow.f64 v 7)))
0.0b	(*.f64 4 (-.f64 (pow.f64 v 3) (pow.f64 v 7)))
0.5b	(acos.f64 (+.f64 -1 (/.f64 (*.f64 4 (-.f64 (pow.f64 v 3) (pow.f64 v 7))) (-.f64 v (pow.f64 v 3)))))
10.0b	(/.f64 (*.f64 4 (-.f64 (pow.f64 v 3) (pow.f64 v 7))) (-.f64 v (pow.f64 v 3)))

rewrite48.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_2487`
20×	`difference-of-squares_binary64_2434`
19×	`*-un-lft-identity_binary64_2465`
16×	`associate-r_binary64_2405`
15×	`unpow-prod-down_binary64_2544`
14×	`cancel-sign-sub-inv_binary64_2431`
11×	`add-cube-cbrt_binary64_2500` `sqr-pow_binary64_2437`
10×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
9×	`times-frac_binary64_2471` `associate-/r*_binary64_2409`
8×	`distribute-lft-in_binary64_2414` `distribute-rgt-in_binary64_2415`
5×	`cube-prod_binary64_2493` `pow1_binary64_2526`
4×	`associate-*r/_binary64_2407`
3×	`add-log-exp_binary64_2504` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417` `flip3--_binary64_2469` `associate-l_binary64_2406`
2×	`unpow3_binary64_2531` `associate-/l/_binary64_2412` `cbrt-undiv_binary64_2499` `sub-neg_binary64_2458` `div-exp_binary64_2516` `associate-/r/_binary64_2411` `prod-exp_binary64_2514` `distribute-rgt-out--_binary64_2419` `cbrt-unprod_binary64_2498`
1×	`-commutative_binary64_2396` `clear-num_binary64_2464` `unswap-sqr_binary64_2433` `div-inv_binary64_2462` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536` `associate-/l_binary64_2410` `acos-asin_binary64_2646`

Counts

3 → 94

Calls

6 calls:

21.0ms	(/.f64 (*.f64 4 (-.f64 (pow.f64 v 3) (pow.f64 v 7))) (-.f64 v (pow.f64 v 3)))
17.0ms	(*.f64 4 (-.f64 (pow.f64 v 3) (pow.f64 v 7)))
1.0ms	(acos.f64 (+.f64 -1 (/.f64 (*.f64 4 (-.f64 (pow.f64 v 3) (pow.f64 v 7))) (-.f64 v (pow.f64 v 3)))))
0.0ms	(*.f64 4 (-.f64 (pow.f64 v 3) (pow.f64 v 7)))
0.0ms	(acos.f64 (+.f64 -1 (/.f64 (*.f64 4 (-.f64 (pow.f64 v 3) (pow.f64 v 7))) (-.f64 v (pow.f64 v 3)))))

series289.0ms (0.7%)

Counts

3 → 14

Calls

3 calls:

145.0ms

(/.f64 (*.f64 4 (-.f64 (pow.f64 v 3) (pow.f64 v 7))) (-.f64 v (pow.f64 v 3)))

106.0ms

(*.f64 4 (-.f64 (pow.f64 v 3) (pow.f64 v 7)))

37.0ms

(acos.f64 (+.f64 -1 (/.f64 (*.f64 4 (-.f64 (pow.f64 v 3) (pow.f64 v 7))) (-.f64 v (pow.f64 v 3)))))

Compiler

Compiled 406 to 349 computations (14% saved)

simplify48.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5156	2167

localize19.0ms (0%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.2b	(.f64 5 (.f64 v v))
0.2b	(.f64 (.f64 (cbrt.f64 (.f64 5 (.f64 v v))) (cbrt.f64 (.f64 5 (.f64 v v)))) (cbrt.f64 (.f64 5 (.f64 v v))))
0.0b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 5 (.f64 v v))) (cbrt.f64 (.f64 5 (.f64 v v)))) (cbrt.f64 (.f64 5 (.f64 v v))))) (+.f64 (pow.f64 v 4) -1)) (+.f64 (.f64 v v) 1))
0.5b	(acos.f64 (.f64 (/.f64 (-.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 5 (.f64 v v))) (cbrt.f64 (.f64 5 (.f64 v v)))) (cbrt.f64 (.f64 5 (.f64 v v))))) (+.f64 (pow.f64 v 4) -1)) (+.f64 (.f64 v v) 1)))
27.7b	(cbrt.f64 (.f64 5 (.f64 v v)))
27.7b	(cbrt.f64 (.f64 5 (.f64 v v)))
27.7b	(cbrt.f64 (.f64 5 (.f64 v v)))

rewrite19.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_2465` `add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `add-exp-log_binary64_2503` `add-sqr-sqrt_binary64_2487` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
3×	`pow1/3_binary64_2547` `cbrt-prod_binary64_2496`
1×	`acos-asin_binary64_2646`

Counts

4 → 35

Calls

8 calls:

5.0ms	(cbrt.f64 (.f64 5 (.f64 v v)))
5.0ms	(cbrt.f64 (.f64 5 (.f64 v v)))
5.0ms	(cbrt.f64 (.f64 5 (.f64 v v)))
1.0ms	(acos.f64 (.f64 (/.f64 (-.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 5 (.f64 v v))) (cbrt.f64 (.f64 5 (.f64 v v)))) (cbrt.f64 (.f64 5 (.f64 v v))))) (+.f64 (pow.f64 v 4) -1)) (+.f64 (.f64 v v) 1)))
0.0ms	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 5 (.f64 v v))) (cbrt.f64 (.f64 5 (.f64 v v)))) (cbrt.f64 (.f64 5 (.f64 v v))))) (+.f64 (pow.f64 v 4) -1)) (+.f64 (.f64 v v) 1))

series350.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt.f64 (.f64 5 (.f64 v v)))
105.0ms	(cbrt.f64 (.f64 5 (.f64 v v)))
102.0ms	(cbrt.f64 (.f64 5 (.f64 v v)))
36.0ms	(acos.f64 (.f64 (/.f64 (-.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 5 (.f64 v v))) (cbrt.f64 (.f64 5 (.f64 v v)))) (cbrt.f64 (.f64 5 (.f64 v v))))) (+.f64 (pow.f64 v 4) -1)) (+.f64 (.f64 v v) 1)))

Compiler

Compiled 804 to 630 computations (21.6% saved)

simplify69.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4989	660
1	4989	660

localize30.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 5 (.f64 v v))
0.1b	(.f64 (.f64 5 (.f64 v v)) (.f64 5 (*.f64 v v)))
0.1b	(pow.f64 (pow.f64 v 4) 3)
0.0b	(/.f64 (.f64 (-.f64 (.f64 1 1) (.f64 (.f64 5 (.f64 v v)) (.f64 5 (.f64 v v)))) (+.f64 (pow.f64 (pow.f64 v 4) 3) (pow.f64 -1 3))) (.f64 (.f64 (+.f64 (pow.f64 v 4) -1) (+.f64 (.f64 v v) -1)) (.f64 (+.f64 (pow.f64 v 8) (+.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 5 (*.f64 v v))))))
0.2b	(.f64 5 (.f64 v v))
0.2b	(.f64 5 (.f64 v v))
0.2b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (.f64 (-.f64 (.f64 1 1) (.f64 (.f64 5 (.f64 v v)) (.f64 5 (.f64 v v)))) (+.f64 (pow.f64 (pow.f64 v 4) 3) (pow.f64 -1 3))) (.f64 (.f64 (+.f64 (pow.f64 v 4) -1) (+.f64 (.f64 v v) -1)) (.f64 (+.f64 (pow.f64 v 8) (+.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 5 (*.f64 v v)))))))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
10×	`add-sqr-sqrt_binary64_2487`
9×	`prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `associate-l_binary64_2406` `cbrt-unprod_binary64_2498`
7×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
4×	`add-log-exp_binary64_2504`
3×	`-commutative_binary64_2396` `unswap-sqr_binary64_2433` `associate-r*_binary64_2405`
1×	`acos-asin_binary64_2646`

Counts

4 → 65

Calls

8 calls:

6.0ms	(.f64 5 (.f64 v v))
6.0ms	(.f64 5 (.f64 v v))
6.0ms	(.f64 5 (.f64 v v))
4.0ms	(acos.f64 (/.f64 (.f64 (-.f64 (.f64 1 1) (.f64 (.f64 5 (.f64 v v)) (.f64 5 (.f64 v v)))) (+.f64 (pow.f64 (pow.f64 v 4) 3) (pow.f64 -1 3))) (.f64 (.f64 (+.f64 (pow.f64 v 4) -1) (+.f64 (.f64 v v) -1)) (.f64 (+.f64 (pow.f64 v 8) (+.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 5 (*.f64 v v)))))))
0.0ms	(/.f64 (.f64 (-.f64 (.f64 1 1) (.f64 (.f64 5 (.f64 v v)) (.f64 5 (.f64 v v)))) (+.f64 (pow.f64 (pow.f64 v 4) 3) (pow.f64 -1 3))) (.f64 (.f64 (+.f64 (pow.f64 v 4) -1) (+.f64 (.f64 v v) -1)) (.f64 (+.f64 (pow.f64 v 8) (+.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 5 (*.f64 v v))))))

series164.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(acos.f64 (/.f64 (.f64 (-.f64 (.f64 1 1) (.f64 (.f64 5 (.f64 v v)) (.f64 5 (.f64 v v)))) (+.f64 (pow.f64 (pow.f64 v 4) 3) (pow.f64 -1 3))) (.f64 (.f64 (+.f64 (pow.f64 v 4) -1) (+.f64 (.f64 v v) -1)) (.f64 (+.f64 (pow.f64 v 8) (+.f64 1 (pow.f64 v 4))) (+.f64 1 (.f64 5 (*.f64 v v)))))))
36.0ms	(.f64 5 (.f64 v v))
33.0ms	(.f64 5 (.f64 v v))
33.0ms	(.f64 5 (.f64 v v))

Compiler

Compiled 1272 to 1020 computations (19.8% saved)

simplify38.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4992	1356
1	4992	1356

prune18.5s (43.4%)

Pruning

274 alts after pruning (261 fresh and 13 done)

	Pruned	Kept	Total
New	353	112	465
Fresh	42	149	191
Picked	0	0	0
Done	2	13	15
Total	397	274	671

Error

0.5b

Counts

671 → 274

Compiler

Compiled 10368 to 7850 computations (24.3% saved)

simplify465.0ms (1.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4966	34600
1	4966	34600

regimes2.7s (6.2%)

Compiler: Compiled 36057 to 27647 computations (23.3% saved)

bsearch0.0ms (0%)

regimes53.0ms (0.1%)

Compiler: Compiled 474 to 378 computations (20.3% saved)

bsearch0.0ms (0%)

regimes27.0ms (0.1%)

Compiler: Compiled 114 to 104 computations (8.8% saved)

bsearch0.0ms (0%)

regimes8.0ms (0%)

Compiler: Compiled 7 to 11 computations (-57.1% saved)

bsearch0.0ms (0%)

regimes7.0ms (0%)

Compiler: Compiled 5 to 8 computations (-60% saved)

bsearch5.0ms (0%)

Compiler: Compiled 37 to 32 computations (13.5% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	55
1	59	55

end0.0ms (0%)

sample2.5s (5.8%)

Algorithm

1×

intervals

Results

1.2s	3960×	body	2048	valid
423.0ms	1972×	body	1024	valid
155.0ms	1019×	body	512	valid
54.0ms	533×	body	256	valid
29.0ms	515×	body	128	valid
1.0ms	1×	body	4096	valid
0.0ms	10×	body	128	nan

Compiler

Compiled 16242 to 12573 computations (22.6% saved)