Details

analyze334.0ms (6.1%)

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
25%	74.9%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	46.8%	9.5%	7
46.8%	42.1%	11%	8
46.8%	36.7%	16.5%	9
48.4%	34%	17.7%	10
48.4%	31%	20.6%	11
49.2%	29.6%	21.3%	12
49.2%	28%	22.8%	13
49.6%	27.3%	23.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample50.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms	55×	body	1024	invalid
9.0ms	199×	body	128	valid
6.0ms	42×	body	512	invalid
5.0ms	22×	body	1024	valid
3.0ms	20×	body	512	valid
2.0ms	33×	body	128	invalid
1.0ms	15×	body	256	valid
1.0ms	12×	body	256	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify150.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4943	11
1	4943	11

prune2.0ms (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

13.9b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

13.9b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
0.0b	(sinh.f64 y)
0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
13.9b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
9×	`add-sqr-sqrt_binary64_14763`
7×	`*-un-lft-identity_binary64_14741` `add-cube-cbrt_binary64_14776`
5×	`pow1_binary64_14802`
3×	`associate-/r_binary64_14685` `times-frac_binary64_14747` `sinh-def_binary64_14926` `add-log-exp_binary64_14780` `associate-l_binary64_14682` `associate-r*_binary64_14681`
2×	`cbrt-undiv_binary64_14775` `cbrt-unprod_binary64_14774` `associate-*r/_binary64_14683` `div-exp_binary64_14792` `prod-exp_binary64_14790`
1×	`unswap-sqr_binary64_14709` `frac-2neg_binary64_14752` `div-inv_binary64_14738` `pow-prod-down_binary64_14812` `associate-/l/_binary64_14688` `associate-/l_binary64_14686` `-commutative_binary64_14672` `clear-num_binary64_14740`

Counts

3 → 49

Calls

6 calls:

9.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms	(sinh.f64 y)
0.0ms	(sinh.f64 y)
0.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))

series410.0ms (7.5%)

Counts

3 → 26

Calls

3 calls:

214.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
155.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
41.0ms	(sinh.f64 y)

Compiler

Compiled 708 to 550 computations (22.3% saved)

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5182	1089

prune75.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	69	6	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	6	76

Error

Counts

76 → 6

Compiler

Compiled 1001 to 378 computations (62.2% saved)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_14763`
19×	`times-frac_binary64_14747` `*-un-lft-identity_binary64_14741` `add-cube-cbrt_binary64_14776`
13×	`associate-r_binary64_14681`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
5×	`pow1_binary64_14802`
3×	`associate-/r_binary64_14685` `add-log-exp_binary64_14780` `associate-/l_binary64_14686` `associate-l_binary64_14682`
2×	`unswap-sqr_binary64_14709` `sinh-def_binary64_14926` `div-inv_binary64_14738` `cbrt-undiv_binary64_14775` `cbrt-unprod_binary64_14774` `div-exp_binary64_14792` `prod-exp_binary64_14790`
1×	`frac-2neg_binary64_14752` `pow-prod-down_binary64_14812` `associate-r/_binary64_14683` `associate-/l/_binary64_14688` `-commutative_binary64_14672` `clear-num_binary64_14740`

Counts

3 → 68

Calls

6 calls:

8.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
3.0ms	(/.f64 (sinh.f64 y) x)
1.0ms	(sinh.f64 y)
0.0ms	(/.f64 (sinh.f64 y) x)
0.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

series393.0ms (7.2%)

Counts

3 → 25

Calls

3 calls:

212.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
139.0ms	(/.f64 (sinh.f64 y) x)
42.0ms	(sinh.f64 y)

Compiler

Compiled 637 to 510 computations (19.9% saved)

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4962	1329
1	4962	1329

prune62.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	93	6	99

Error

Counts

99 → 6

Compiler

Compiled 1276 to 401 computations (68.6% saved)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.7b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
0.0b	(sinh.f64 y)
0.0b	(/.f64 x (sinh.f64 y))
0.0b	(/.f64 x (sinh.f64 y))
0.0b	(sinh.f64 y)
0.7b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64_14747`
54×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741` `add-cube-cbrt_binary64_14776`
17×	`associate-/r*_binary64_14685`
10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
6×	`sinh-def_binary64_14926` `div-inv_binary64_14738` `associate-/r/_binary64_14687` `associate-/l*_binary64_14686`
4×	`cbrt-undiv_binary64_14775` `div-exp_binary64_14792`
3×	`add-log-exp_binary64_14780` `pow1_binary64_14802`
2×	`frac-2neg_binary64_14752` `clear-num_binary64_14740`

Counts

3 → 110

Calls

6 calls:

7.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
3.0ms	(/.f64 x (sinh.f64 y))
1.0ms	(sinh.f64 y)
0.0ms	(/.f64 x (sinh.f64 y))
0.0ms	(sinh.f64 y)

series447.0ms (8.2%)

Counts

3 → 25

Calls

3 calls:

210.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
194.0ms	(/.f64 x (sinh.f64 y))
42.0ms	(sinh.f64 y)

Compiler

Compiled 627 to 500 computations (20.3% saved)

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4973	2531
1	4973	2531

prune100.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	135	6	141

Error

Counts

141 → 6

Compiler

Compiled 2019 to 489 computations (75.8% saved)

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.2b	(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))
0.1b	(/.f64 (sin.f64 x) x)
0.0b	(sinh.f64 y)
0.0b	(/.f64 1 (sinh.f64 y))
0.0b	(/.f64 1 (sinh.f64 y))
0.0b	(sinh.f64 y)
0.1b	(/.f64 (sin.f64 x) x)
0.2b	(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))

rewrite57.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

461×	`times-frac_binary64_14747`
223×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741` `add-cube-cbrt_binary64_14776`
32×	`div-inv_binary64_14738` `add-exp-log_binary64_14779`
20×	`associate-/r*_binary64_14685` `add-cbrt-cube_binary64_14777`
19×	`div-exp_binary64_14792` `associate-/l*_binary64_14686`
16×	`sinh-def_binary64_14926` `associate-/r/_binary64_14687`
10×	`cbrt-undiv_binary64_14775`
5×	`pow1_binary64_14802`
4×	`add-log-exp_binary64_14780`
3×	`frac-2neg_binary64_14752` `1-exp_binary64_14785` `rec-exp_binary64_14791` `clear-num_binary64_14740`
1×	`associate-/l/_binary64_14688` `pow-flip_binary64_14815` `inv-pow_binary64_14826`

Counts

4 → 300

Calls

8 calls:

12.0ms	(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))
4.0ms	(/.f64 (sin.f64 x) x)
3.0ms	(/.f64 1 (sinh.f64 y))
1.0ms	(sinh.f64 y)
0.0ms	(/.f64 1 (sinh.f64 y))

series368.0ms (6.8%)

Counts

4 → 28

Calls

4 calls:

216.0ms	(/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sinh.f64 y)))
76.0ms	(/.f64 1 (sinh.f64 y))
45.0ms	(sinh.f64 y)
30.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 649 to 534 computations (17.7% saved)

simplify148.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

328 → 328

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5119	8165

prune252.0ms (4.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	328	0	328
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	328	6	334

Error

Counts

334 → 6

Compiler

Compiled 5972 to 1667 computations (72.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	121	350
1	121	350

regimes110.0ms (2%)

Compiler: Compiled 686 to 560 computations (18.4% saved)

bsearch0.0ms (0%)

regimes59.0ms (1.1%)

Compiler: Compiled 230 to 224 computations (2.6% saved)

bsearch0.0ms (0%)

regimes59.0ms (1.1%)

Compiler: Compiled 180 to 192 computations (-6.7% saved)

bsearch0.0ms (0%)

regimes43.0ms (0.8%)

Compiler: Compiled 35 to 62 computations (-77.1% saved)

bsearch88.0ms (1.6%)

Steps

Iters	Range		Point
9	1555918067390271.8	4.778942455808508e+23	9982058009076348.0
8	-3.4396461195015706	-0.0007429814886469272	-3.1061016710757383

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes20.0ms (0.4%)

Accuracy

Total 0.1b remaining (87.1%)

Threshold costs 0.1b (87.1%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 38 to 38 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	56
1	27	56

end0.0ms (0%)

sample1.9s (35.3%)

Algorithm

1×

intervals

Results

380.0ms	1948×	body	1024	invalid
301.0ms	6243×	body	128	valid
144.0ms	644×	body	1024	valid
141.0ms	973×	body	512	invalid
103.0ms	710×	body	512	valid
52.0ms	495×	body	256	invalid
44.0ms	771×	body	128	invalid
42.0ms	403×	body	256	valid

Compiler

Compiled 279 to 235 computations (15.8% saved)

Pareto

0.35302605380851804

Details

analyze334.0ms (6.1%)

sample50.0ms (0.9%)

simplify150.0ms (2.7%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite18.0ms (0.3%)

series410.0ms (7.5%)

simplify61.0ms (1.1%)

prune75.0ms (1.4%)

localize6.0ms (0.1%)

rewrite17.0ms (0.3%)

series393.0ms (7.2%)

simplify58.0ms (1.1%)

prune62.0ms (1.1%)

localize6.0ms (0.1%)

rewrite22.0ms (0.4%)

series447.0ms (8.2%)

simplify78.0ms (1.4%)

prune100.0ms (1.8%)

localize8.0ms (0.1%)

rewrite57.0ms (1%)

series368.0ms (6.8%)

simplify148.0ms (2.7%)

prune252.0ms (4.6%)

simplify8.0ms (0.1%)

regimes110.0ms (2%)

bsearch0.0ms (0%)

regimes59.0ms (1.1%)

bsearch0.0ms (0%)

regimes59.0ms (1.1%)

bsearch0.0ms (0%)

regimes43.0ms (0.8%)

bsearch88.0ms (1.6%)

regimes20.0ms (0.4%)

bsearch4.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.9s (35.3%)

Profiling