Details

analyze88.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample26.0ms (0%)

Algorithm

1×

intervals

Results

8.0ms	181×	body	128	valid
5.0ms	32×	body	1024	valid
4.0ms	30×	body	512	valid
1.0ms	13×	body	256	valid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify109.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

prune1.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize5.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)

rewrite16.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_2487`
19×	`times-frac_binary64_2471`
18×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
13×	`associate-r_binary64_2405`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`pow1_binary64_2526`
3×	`associate-/r_binary64_2409` `associate-/l_binary64_2410` `associate-l_binary64_2406`
2×	`add-log-exp_binary64_2504` `cbrt-undiv_binary64_2499` `unswap-sqr_binary64_2433` `div-exp_binary64_2516` `div-inv_binary64_2462` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
1×	`-commutative_binary64_2396` `associate-r/_binary64_2407` `clear-num_binary64_2464` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536`

Counts

2 → 59

Calls

4 calls:

8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)
0.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
0.0ms	(/.f64 (sin.f64 y) y)

series146.0ms (0.2%)

Counts

2 → 15

Calls

2 calls:

114.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
32.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 184 to 160 computations (13% saved)

simplify81.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5130	902

prune241.0ms (0.3%)

Pruning

48 alts after pruning (47 fresh and 1 done)

	Pruned	Kept	Total
New	27	47	74
Fresh	0	0	0
Picked	0	0	0
Done	0	1	1
Total	27	48	75

Error

0.0b

Counts

75 → 48

Compiler

Compiled 1270 to 557 computations (56.1% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.1b	(*.f64 x (pow.f64 (/.f64 (sin.f64 y) y) 1))
0.1b	(*.f64 x (pow.f64 (/.f64 (sin.f64 y) y) 1))
0.1b	(/.f64 (sin.f64 y) y)

rewrite19.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_2487`
19×	`*-un-lft-identity_binary64_2465` `times-frac_binary64_2471` `add-cube-cbrt_binary64_2500`
17×	`associate-r_binary64_2405`
15×	`unpow-prod-down_binary64_2544`
12×	`add-exp-log_binary64_2503`
6×	`add-cbrt-cube_binary64_2501`
4×	`unswap-sqr_binary64_2433` `prod-exp_binary64_2514`
3×	`associate-/r_binary64_2409` `pow1_binary64_2526` `associate-/l_binary64_2410` `associate-l_binary64_2406`
2×	`add-log-exp_binary64_2504` `pow-exp_binary64_2533` `div-exp_binary64_2516` `div-inv_binary64_2462` `sqr-pow_binary64_2437`
1×	`*-commutative_binary64_2396` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `pow-to-exp_binary64_2534` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`

Counts

2 → 65

Calls

4 calls:

10.0ms	(*.f64 x (pow.f64 (/.f64 (sin.f64 y) y) 1))
4.0ms	(/.f64 (sin.f64 y) y)
0.0ms	(*.f64 x (pow.f64 (/.f64 (sin.f64 y) y) 1))
0.0ms	(/.f64 (sin.f64 y) y)

series141.0ms (0.2%)

Counts

2 → 15

Calls

2 calls:

110.0ms	(*.f64 x (pow.f64 (/.f64 (sin.f64 y) y) 1))
31.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 200 to 176 computations (12% saved)

simplify84.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5014	1002

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

2.3b	(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
0.1b	(/.f64 (sin.f64 y) y)
0.0b	(*.f64 x (log.f64 (exp.f64 (/.f64 (sin.f64 y) y))))
0.0b	(*.f64 x (log.f64 (exp.f64 (/.f64 (sin.f64 y) y))))
0.1b	(/.f64 (sin.f64 y) y)
2.3b	(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))

rewrite30.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_2487`
30×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
28×	`log-pow_binary64_2554`
27×	`times-frac_binary64_2471`
26×	`exp-prod_binary64_2517`
17×	`associate-r_binary64_2405`
9×	`log-prod_binary64_2551`
7×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
3×	`add-log-exp_binary64_2504` `distribute-lft-in_binary64_2414` `associate-/r_binary64_2409` `distribute-rgt-in_binary64_2415` `div-inv_binary64_2462` `associate-/l_binary64_2410` `associate-l_binary64_2406`
1×	`*-commutative_binary64_2396` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `unswap-sqr_binary64_2433` `div-exp_binary64_2516` `prod-exp_binary64_2514` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536` `rem-log-exp_binary64_2506` `cbrt-unprod_binary64_2498`

Counts

3 → 90

Calls

6 calls:

13.0ms	(*.f64 x (log.f64 (exp.f64 (/.f64 (sin.f64 y) y))))
5.0ms	(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
4.0ms	(/.f64 (sin.f64 y) y)
0.0ms	(*.f64 x (log.f64 (exp.f64 (/.f64 (sin.f64 y) y))))
0.0ms	(/.f64 (sin.f64 y) y)

series551.0ms (0.6%)

Counts

3 → 21

Calls

3 calls:

333.0ms	(*.f64 x (log.f64 (exp.f64 (/.f64 (sin.f64 y) y))))
186.0ms	(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
31.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 284 to 254 computations (10.6% saved)

simplify105.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4921	1331
1	4921	1331

localize10.0ms (0%)

Local error

Found 8 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.3b	(/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
0.2b	(/.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
0.1b	(.f64 x (/.f64 (/.f64 (sin.f64 y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)))
0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite15.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
15×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547`
6×	`swap-sqr_binary64_2432` `add-exp-log_binary64_2503` `associate-r_binary64_2405` `associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433` `add-cbrt-cube_binary64_2501`
2×	`pow-prod-down_binary64_2536` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`
1×	`*-commutative_binary64_2396` `pow-plus_binary64_2528` `pow2_binary64_2546` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 73

Calls

8 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
0.0ms	(.f64 x (/.f64 (/.f64 (sin.f64 y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)))

series329.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

99.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
79.0ms	(cbrt.f64 y)
77.0ms	(cbrt.f64 y)
73.0ms	(cbrt.f64 y)

Compiler

Compiled 370 to 286 computations (22.7% saved)

simplify80.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

localize10.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (sin.f64 y))
0.0b	(sqrt.f64 (sin.f64 y))
0.0b	(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
0.0b	(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
0.0b	(sqrt.f64 (sin.f64 y))
0.0b	(sqrt.f64 (sin.f64 y))
0.0b	(.f64 x (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))))
0.1b	(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))

rewrite312.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

280×	`add-sqr-sqrt_binary64_2487`
246×	`sqrt-prod_binary64_2481`
240×	`times-frac_binary64_2471`
123×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
68×	`swap-sqr_binary64_2432`
43×	`associate-l_binary64_2406`
41×	`associate-r_binary64_2405`
34×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
26×	`unswap-sqr_binary64_2433`
18×	`pow1_binary64_2526`
13×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
8×	`cbrt-undiv_binary64_2499` `div-exp_binary64_2516`
5×	`associate-*r/_binary64_2407`
4×	`sqrt-undiv_binary64_2486` `add-log-exp_binary64_2504` `div-inv_binary64_2462` `pow-prod-down_binary64_2536`
2×	`associate-l/_binary64_2408` `-commutative_binary64_2396` `frac-times_binary64_2475` `pow1/2_binary64_2545` `rem-sqrt-square_binary64_2478` `sqrt-pow1_binary64_2483`
1×	`pow-plus_binary64_2528` `sqrt-unprod_binary64_2485` `rem-square-sqrt_binary64_2477` `pow2_binary64_2546` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`

Counts

4 → 253

Calls

8 calls:

43.0ms	(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
16.0ms	(.f64 x (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))))
2.0ms	(sqrt.f64 (sin.f64 y))
2.0ms	(sqrt.f64 (sin.f64 y))
0.0ms	(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))

series175.0ms (0.2%)

Counts

4 → 21

Calls

4 calls:

104.0ms	(.f64 x (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))))
30.0ms	(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)))
22.0ms	(sqrt.f64 (sin.f64 y))
18.0ms	(sqrt.f64 (sin.f64 y))

Compiler

Compiled 404 to 300 computations (25.7% saved)

simplify125.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5018	4685

prune3.8s (4.4%)

Pruning

201 alts after pruning (196 fresh and 5 done)

	Pruned	Kept	Total
New	384	166	550
Fresh	12	30	42
Picked	0	0	0
Done	1	5	6
Total	397	201	598

Error

Counts

598 → 201

Compiler

Compiled 8106 to 3521 computations (56.6% saved)

localize8.0ms (0%)

Local error

Found 6 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.1b	(/.f64 (sin.f64 y) y)
0.1b	(.f64 x (+.f64 (.f64 1/2 (/.f64 (sin.f64 y) y)) (*.f64 1/2 (/.f64 (sin.f64 y) y))))
0.1b	(.f64 x (+.f64 (.f64 1/2 (/.f64 (sin.f64 y) y)) (*.f64 1/2 (/.f64 (sin.f64 y) y))))
0.1b	(/.f64 (sin.f64 y) y)
0.1b	(/.f64 (sin.f64 y) y)

rewrite29.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_2487`
21×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
18×	`times-frac_binary64_2471`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
6×	`associate-/r_binary64_2409` `associate-r_binary64_2405` `associate-/l_binary64_2410`
5×	`associate-*r/_binary64_2407` `pow1_binary64_2526`
3×	`add-log-exp_binary64_2504` `associate-l_binary64_2406`
2×	`clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `frac-2neg_binary64_2476`
1×	`flip3-+_binary64_2468` `distribute-lft-in_binary64_2414` `*-commutative_binary64_2396` `flip-+_binary64_2439` `count-2_binary64_2413` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `distribute-lft-out_binary64_2416` `frac-add_binary64_2473` `distribute-rgt-out_binary64_2418` `cbrt-unprod_binary64_2498`

Counts

3 → 80

Calls

6 calls:

13.0ms	(.f64 x (+.f64 (.f64 1/2 (/.f64 (sin.f64 y) y)) (*.f64 1/2 (/.f64 (sin.f64 y) y))))
4.0ms	(/.f64 (sin.f64 y) y)
4.0ms	(/.f64 (sin.f64 y) y)
0.0ms	(.f64 x (+.f64 (.f64 1/2 (/.f64 (sin.f64 y) y)) (*.f64 1/2 (/.f64 (sin.f64 y) y))))
0.0ms	(/.f64 (sin.f64 y) y)

series177.0ms (0.2%)

Counts

3 → 21

Calls

3 calls:

113.0ms	(.f64 x (+.f64 (.f64 1/2 (/.f64 (sin.f64 y) y)) (*.f64 1/2 (/.f64 (sin.f64 y) y))))
33.0ms	(/.f64 (sin.f64 y) y)
31.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 400 to 322 computations (19.5% saved)

simplify82.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4920	1208
1	4920	1208

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

9.3b	(.f64 x (.f64 1/6 (*.f64 y y)))
0.2b	(.f64 1/6 (.f64 y y))
0.2b	(.f64 1/6 (.f64 y y))
9.3b	(.f64 x (.f64 1/6 (*.f64 y y)))

rewrite17.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
9×	`prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
6×	`associate-l_binary64_2406`
5×	`add-sqr-sqrt_binary64_2487`
4×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
2×	`add-log-exp_binary64_2504` `-commutative_binary64_2396` `associate-r*_binary64_2405`
1×	`unswap-sqr_binary64_2433`

Counts

2 → 40

Calls

4 calls:

8.0ms	(.f64 x (.f64 1/6 (*.f64 y y)))
6.0ms	(.f64 1/6 (.f64 y y))
0.0ms	(.f64 1/6 (.f64 y y))
0.0ms	(.f64 x (.f64 1/6 (*.f64 y y)))

series103.0ms (0.1%)

Counts

2 → 9

Calls

2 calls:

77.0ms	(.f64 x (.f64 1/6 (*.f64 y y)))
26.0ms	(.f64 1/6 (.f64 y y))

Compiler

Compiled 162 to 144 computations (11.1% saved)

simplify53.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5062	482

localize9.0ms (0%)

Local error

Found 6 expressions with local error:

0.3b	(/.f64 (sin.f64 y) (sqrt.f64 y))
0.0b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
0.0b	(*.f64 x (pow.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)) 1))
0.0b	(*.f64 x (pow.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)) 1))
0.0b	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
0.3b	(/.f64 (sin.f64 y) (sqrt.f64 y))

rewrite139.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

526×	`times-frac_binary64_2471`
307×	`add-sqr-sqrt_binary64_2487`
280×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
269×	`sqrt-prod_binary64_2481`
143×	`unpow-prod-down_binary64_2544`
140×	`associate-r_binary64_2405`
25×	`associate-/l*_binary64_2410`
22×	`add-exp-log_binary64_2503`
16×	`div-inv_binary64_2462`
12×	`associate-/r*_binary64_2409` `add-cbrt-cube_binary64_2501`
9×	`unswap-sqr_binary64_2433`
7×	`div-exp_binary64_2516`
5×	`prod-exp_binary64_2514`
4×	`cbrt-undiv_binary64_2499` `pow1_binary64_2526`
3×	`add-log-exp_binary64_2504` `pow-exp_binary64_2533` `associate-l_binary64_2406`
2×	`clear-num_binary64_2464` `sqr-pow_binary64_2437` `frac-2neg_binary64_2476`
1×	`*-commutative_binary64_2396` `associate-/l/_binary64_2412` `pow-to-exp_binary64_2534` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`

Counts

3 → 381

Calls

6 calls:

59.0ms	(*.f64 x (pow.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)) 1))
12.0ms	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
5.0ms	(/.f64 (sin.f64 y) (sqrt.f64 y))
0.0ms	(*.f64 x (pow.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)) 1))
0.0ms	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))

series154.0ms (0.2%)

Counts

3 → 18

Calls

3 calls:

104.0ms	(*.f64 x (pow.f64 (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)) 1))
28.0ms	(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
21.0ms	(/.f64 (sin.f64 y) (sqrt.f64 y))

Compiler

Compiled 318 to 272 computations (14.5% saved)

simplify140.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

399 → 399

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5070	8177

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (sin.f64 y))
0.0b	(sqrt.f64 (sin.f64 y))
0.0b	(/.f64 (*.f64 1 (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))
0.0b	(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
0.0b	(sqrt.f64 (sin.f64 y))
0.0b	(sqrt.f64 (sin.f64 y))
0.0b	(.f64 x (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (*.f64 1 (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))))
0.1b	(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (.f64 1 (sqrt.f64 (sin.f64 y))) (sqrt.f64 y)))

rewrite71.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`add-exp-log_binary64_2503`
62×	`times-frac_binary64_2471`
59×	`add-sqr-sqrt_binary64_2487`
57×	`sqrt-prod_binary64_2481`
54×	`add-cbrt-cube_binary64_2501`
47×	`*-un-lft-identity_binary64_2465`
43×	`associate-l_binary64_2406`
39×	`add-cube-cbrt_binary64_2500`
33×	`prod-exp_binary64_2514`
23×	`cbrt-unprod_binary64_2498`
20×	`div-exp_binary64_2516`
14×	`cbrt-undiv_binary64_2499`
13×	`pow1_binary64_2526`
11×	`associate-r_binary64_2405`
8×	`swap-sqr_binary64_2432`
5×	`associate-*r/_binary64_2407` `unswap-sqr_binary64_2433`
4×	`add-log-exp_binary64_2504` `pow-prod-down_binary64_2536` `1-exp_binary64_2509`
2×	`associate-l/_binary64_2408` `-commutative_binary64_2396` `frac-times_binary64_2475` `pow1/2_binary64_2545` `div-inv_binary64_2462` `rem-sqrt-square_binary64_2478` `sqrt-pow1_binary64_2483`

Counts

4 → 148

Calls

8 calls:

27.0ms	(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (.f64 1 (sqrt.f64 (sin.f64 y))) (sqrt.f64 y)))
16.0ms	(.f64 x (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (*.f64 1 (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))))
3.0ms	(sqrt.f64 (sin.f64 y))
3.0ms	(sqrt.f64 (sin.f64 y))
0.0ms	(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))

series178.0ms (0.2%)

Counts

4 → 21

Calls

4 calls:

108.0ms	(.f64 x (.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (*.f64 1 (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))))
30.0ms	(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (/.f64 (.f64 1 (sqrt.f64 (sin.f64 y))) (sqrt.f64 y)))
20.0ms	(sqrt.f64 (sin.f64 y))
19.0ms	(sqrt.f64 (sin.f64 y))

Compiler

Compiled 428 to 332 computations (22.4% saved)

simplify98.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4950	2219
1	4950	2219

localize14.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 x (.f64 (/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sqrt.f64 y)))))
0.0b	(sqrt.f64 (sin.f64 y))
0.0b	(sqrt.f64 (sin.f64 y))
0.0b	(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))
0.1b	(sqrt.f64 (sqrt.f64 y))
0.1b	(/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
0.1b	(*.f64 (/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sqrt.f64 y))))
0.2b	(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sqrt.f64 y)))

rewrite575.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

1930×	`sqrt-prod_binary64_2481`
1797×	`times-frac_binary64_2471`
1314×	`add-sqr-sqrt_binary64_2487`
803×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
364×	`associate-l_binary64_2406`
112×	`unswap-sqr_binary64_2433`
58×	`associate-r_binary64_2405`
46×	`associate-/l*_binary64_2410`
32×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
23×	`div-inv_binary64_2462`
18×	`associate-/r*_binary64_2409`
13×	`cbrt-undiv_binary64_2499` `div-exp_binary64_2516`
8×	`pow1_binary64_2526`
6×	`sqrt-undiv_binary64_2486` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
4×	`add-log-exp_binary64_2504` `sqrt-pow1_binary64_2483`
2×	`pow1/2_binary64_2545` `clear-num_binary64_2464` `rem-sqrt-square_binary64_2478` `frac-2neg_binary64_2476`
1×	`associate-l/_binary64_2408` `-commutative_binary64_2396` `frac-times_binary64_2475` `associate-/l/_binary64_2412` `sqrt-unprod_binary64_2485` `associate-*r/_binary64_2407` `pow-prod-down_binary64_2536`

Counts

4 → 1000

Calls

8 calls:

308.0ms	(*.f64 (/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sqrt.f64 y))))
24.0ms	(/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
9.0ms	(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sqrt.f64 y)))
2.0ms	(sqrt.f64 (sqrt.f64 y))
0.0ms	(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y))

series217.0ms (0.3%)

Counts

4 → 15

Calls

4 calls:

66.0ms	(/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
64.0ms	(/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sqrt.f64 y)))
55.0ms	(sqrt.f64 (sqrt.f64 y))
32.0ms	(*.f64 (/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sqrt.f64 y))))

Compiler

Compiled 484 to 371 computations (23.3% saved)

simplify389.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1015 → 1015

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4965	34565
1	4965	34565

prune28.3s (33.2%)

Pruning

633 alts after pruning (623 fresh and 10 done)

	Pruned	Kept	Total
New	1279	454	1733
Fresh	22	169	191
Picked	0	0	0
Done	0	10	10
Total	1301	633	1934

Error

Counts

1934 → 633

Compiler

Compiled 36399 to 14138 computations (61.2% saved)

localize8.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.1b	(*.f64 x (pow.f64 (/.f64 (sin.f64 y) y) 1))
0.1b	(*.f64 x (pow.f64 (/.f64 (sin.f64 y) y) 1))
0.1b	(/.f64 (sin.f64 y) y)

rewrite19.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_2487`
19×	`*-un-lft-identity_binary64_2465` `times-frac_binary64_2471` `add-cube-cbrt_binary64_2500`
17×	`associate-r_binary64_2405`
15×	`unpow-prod-down_binary64_2544`
12×	`add-exp-log_binary64_2503`
6×	`add-cbrt-cube_binary64_2501`
4×	`unswap-sqr_binary64_2433` `prod-exp_binary64_2514`
3×	`associate-/r_binary64_2409` `pow1_binary64_2526` `associate-/l_binary64_2410` `associate-l_binary64_2406`
2×	`add-log-exp_binary64_2504` `pow-exp_binary64_2533` `div-exp_binary64_2516` `div-inv_binary64_2462` `sqr-pow_binary64_2437`
1×	`*-commutative_binary64_2396` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `pow-to-exp_binary64_2534` `frac-2neg_binary64_2476` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`

Counts

2 → 65

Calls

4 calls:

10.0ms	(*.f64 x (pow.f64 (/.f64 (sin.f64 y) y) 1))
4.0ms	(/.f64 (sin.f64 y) y)
0.0ms	(*.f64 x (pow.f64 (/.f64 (sin.f64 y) y) 1))
0.0ms	(/.f64 (sin.f64 y) y)

series138.0ms (0.2%)

Counts

2 → 15

Calls

2 calls:

104.0ms	(*.f64 x (pow.f64 (/.f64 (sin.f64 y) y) 1))
34.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 244 to 220 computations (9.8% saved)

simplify83.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5014	1002

localize6.0ms (0%)

Local error

Found 4 expressions with local error:

9.3b	(.f64 (.f64 x 1/6) (*.f64 y y))
0.3b	(*.f64 x 1/6)
0.3b	(*.f64 x 1/6)
9.3b	(.f64 (.f64 x 1/6) (*.f64 y y))

rewrite14.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
9×	`prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
6×	`add-sqr-sqrt_binary64_2487`
4×	`-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `associate-r_binary64_2405` `associate-l*_binary64_2406`
2×	`add-log-exp_binary64_2504` `*-commutative_binary64_2396`
1×	`unswap-sqr_binary64_2433`

Counts

2 → 40

Calls

4 calls:

7.0ms	(.f64 (.f64 x 1/6) (*.f64 y y))
4.0ms	(*.f64 x 1/6)
0.0ms	(*.f64 x 1/6)
0.0ms	(.f64 (.f64 x 1/6) (*.f64 y y))

series85.0ms (0.1%)

Counts

2 → 9

Calls

2 calls:

70.0ms	(.f64 (.f64 x 1/6) (*.f64 y y))
15.0ms	(*.f64 x 1/6)

Compiler

Compiled 162 to 138 computations (14.8% saved)

simplify78.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4876	443
1	4876	443

localize11.0ms (0%)

Local error

Found 8 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.3b	(/.f64 (cbrt.f64 (sin.f64 y)) y)
0.2b	(.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
0.1b	(.f64 x (pow.f64 (.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) y)) 1))
0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite17.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
15×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547`
6×	`swap-sqr_binary64_2432` `add-exp-log_binary64_2503` `associate-r_binary64_2405` `associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433` `add-cbrt-cube_binary64_2501`
2×	`pow-prod-down_binary64_2536` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`
1×	`*-commutative_binary64_2396` `pow-plus_binary64_2528` `pow2_binary64_2546` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 73

Calls

8 calls:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
0.0ms	(.f64 x (pow.f64 (.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) y)) 1))

series360.0ms (0.4%)

Counts

4 → 24

Calls

4 calls:

103.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
91.0ms	(cbrt.f64 (sin.f64 y))
84.0ms	(cbrt.f64 (sin.f64 y))
81.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 736 to 560 computations (23.9% saved)

simplify95.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4867	1020
1	4867	1020

localize19.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (sin.f64 y))
0.0b	(sqrt.f64 (sin.f64 y))
0.0b	(sqrt.f64 (sin.f64 y))
0.0b	(sqrt.f64 (sin.f64 y))
0.2b	(/.f64 y (sqrt.f64 (sin.f64 y)))
0.3b	(cbrt.f64 (sqrt.f64 (sin.f64 y)))
0.3b	(cbrt.f64 (sqrt.f64 (sin.f64 y)))
0.3b	(cbrt.f64 (sqrt.f64 (sin.f64 y)))

rewrite19.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
21×	`sqrt-prod_binary64_2481`
18×	`times-frac_binary64_2471` `cbrt-prod_binary64_2496`
6×	`associate-/r*_binary64_2409` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`add-log-exp_binary64_2504` `pow1_binary64_2526`
3×	`pow1/3_binary64_2547` `associate-/l*_binary64_2410`
1×	`clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `frac-2neg_binary64_2476`

Counts

4 → 81

Calls

8 calls:

4.0ms	(/.f64 y (sqrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (sqrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (sqrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (sqrt.f64 (sin.f64 y)))
0.0ms	(sqrt.f64 (sin.f64 y))

series323.0ms (0.4%)

Counts

4 → 21

Calls

4 calls:

90.0ms	(cbrt.f64 (sqrt.f64 (sin.f64 y)))
87.0ms	(cbrt.f64 (sqrt.f64 (sin.f64 y)))
86.0ms	(cbrt.f64 (sqrt.f64 (sin.f64 y)))
59.0ms	(/.f64 y (sqrt.f64 (sin.f64 y)))

Compiler

Compiled 894 to 584 computations (34.7% saved)

simplify89.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5062	1371

localize32.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (sqrt.f64 (cbrt.f64 y)))
0.0b	(.f64 x (.f64 (/.f64 (/.f64 (sqrt.f64 (sqrt.f64 (sin.f64 y))) 1) (sqrt.f64 (sqrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y))))) (/.f64 (/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 y))) 3) (pow.f64 (sqrt.f64 (sqrt.f64 y)) 3)) (sqrt.f64 (sqrt.f64 (cbrt.f64 y))))))
0.0b	(sqrt.f64 (sin.f64 y))
0.0b	(sqrt.f64 (sin.f64 y))
0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite20.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
15×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547`
6×	`swap-sqr_binary64_2432` `add-exp-log_binary64_2503` `associate-r_binary64_2405` `associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433` `add-cbrt-cube_binary64_2501`
2×	`pow-prod-down_binary64_2536` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`
1×	`*-commutative_binary64_2396` `pow-plus_binary64_2528` `pow2_binary64_2546` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 73

Calls

8 calls:

8.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
0.0ms	(sqrt.f64 (sin.f64 y))

series328.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
82.0ms	(cbrt.f64 y)
81.0ms	(cbrt.f64 y)
76.0ms	(cbrt.f64 y)

Compiler

Compiled 874 to 670 computations (23.3% saved)

simplify77.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune20.9s (24.5%)

Pruning

768 alts after pruning (755 fresh and 13 done)

	Pruned	Kept	Total
New	261	152	413
Fresh	15	603	618
Picked	0	0	0
Done	2	13	15
Total	278	768	1046

Error

Counts

1046 → 768

Compiler

Compiled 7167 to 2784 computations (61.2% saved)

simplify753.0ms (0.9%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5261	48640

regimes8.1s (9.4%)

Compiler: Compiled 81608 to 45942 computations (43.7% saved)

bsearch0.0ms (0%)

regimes69.0ms (0.1%)

Compiler: Compiled 110 to 112 computations (-1.8% saved)

bsearch31.0ms (0%)

Steps

Iters	Range		Point
5	498626.87326010165	1746520.5113275005	1007490.0096188163
10	-1073053787781486.5	-23252.174194113235	-225398903361574.72

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes40.0ms (0%)

Compiler: Compiled 12 to 30 computations (-150% saved)

bsearch47.0ms (0.1%)

Steps

Iters	Range		Point
9	2.6948050458931112e+44	5.463304838742918e+50	3.0233011228189676e+44
9	-1.2615646929076877e+89	-1.0963171507107136e+83	-1.1082785621089667e+83

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0%)

Accuracy

Total 0.1b remaining (99.9%)

Threshold costs 0.1b (99.9%)

Compiler

Compiled 8 to 18 computations (-125% saved)

bsearch5.0ms (0%)

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	78	52
1	78	52

end0.0ms (0%)

sample16.3s (19.1%)

Algorithm

1×

intervals

Results

255.0ms	5426×	body	128	valid
230.0ms	1280×	body	1024	valid
104.0ms	832×	body	512	valid
45.0ms	456×	body	256	valid
2.0ms	6×	body	2048	valid

Compiler

Compiled 20514 to 11583 computations (43.5% saved)

Pareto

0.09683330284879925