Details

analyze592.0ms (7%)

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample110.0ms (1.3%)

Algorithm

1×

intervals

Results

25.0ms	66×	body	1024	valid
20.0ms	59×	body	1024	invalid
17.0ms	144×	body	128	valid
8.0ms	33×	body	512	invalid
8.0ms	32×	body	512	valid
6.0ms	70×	body	128	invalid
4.0ms	20×	body	256	invalid
2.0ms	13×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify248.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5030	11

prune3.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2828`
19×	`times-frac_binary64_2812` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
13×	`associate-r_binary64_2746`
10×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
5×	`pow1_binary64_2867`
3×	`associate-l_binary64_2747` `associate-/r_binary64_2750` `add-log-exp_binary64_2845` `associate-/l_binary64_2751`
2×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `sinh-def_binary64_2991`
1×	`associate-/l/_binary64_2753` `-commutative_binary64_2737` `clear-num_binary64_2805` `associate-r/_binary64_2748` `pow-prod-down_binary64_2877` `frac-2neg_binary64_2817`

Counts

3 → 68

Calls

3 calls:

14.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms	(/.f64 (sinh.f64 y) y)
2.0ms	(sinh.f64 y)

series348.0ms (4.1%)

Counts

3 → 9

Calls

3 calls:

184.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
103.0ms	(/.f64 (sinh.f64 y) y)
61.0ms	(sinh.f64 y)

simplify118.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	6566	1002

prune91.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	5	78

Merged error: 0b

Counts

78 → 5

Compiler

Compiled 1028 to 286 computations (72.2% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
0.4b	(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3)
19.1b	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3))

rewrite41.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_2828`
15×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
14×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
13×	`associate-r_binary64_2746`
10×	`times-frac_binary64_2812`
9×	`pow1_binary64_2867`
8×	`cbrt-prod_binary64_2837`
4×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `add-log-exp_binary64_2845`
3×	`associate-l_binary64_2747` `pow-exp_binary64_2874` `pow-unpow_binary64_2883` `associate-*r/_binary64_2748` `rem-cube-cbrt_binary64_2829`
2×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `cube-prod_binary64_2834` `unpow3_binary64_2872` `pow-pow_binary64_2878` `unpow-prod-down_binary64_2885` `sqr-pow_binary64_2778` `cube-mult_binary64_2836` `cube-div_binary64_2835` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774`
1×	`cbrt-div_binary64_2838` `div-inv_binary64_2803` `pow1/3_binary64_2888` `*-commutative_binary64_2737` `pow-to-exp_binary64_2875` `rem-cbrt-cube_binary64_2830` `sinh-def_binary64_2991`

Counts

4 → 83

Calls

4 calls:

13.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
10.0ms	(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3)
4.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3))
2.0ms	(sinh.f64 y)

series786.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

385.0ms	(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3)
180.0ms	(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 3))
158.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
62.0ms	(sinh.f64 y)

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5380	1397

prune126.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	95	5	100

Merged error: 0b

Counts

100 → 5

Compiler

Compiled 1481 to 548 computations (63% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
0.1b	(exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
3.4b	(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_2828`
13×	`-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841` `associate-r*_binary64_2746`
10×	`times-frac_binary64_2812`
9×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
7×	`add-log-exp_binary64_2845` `pow1_binary64_2867`
3×	`associate-l_binary64_2747` `log-prod_binary64_2892` `log-pow_binary64_2895`
2×	`exp-to-pow_binary64_2868` `prod-exp_binary64_2855` `exp-prod_binary64_2858` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `-commutative_binary64_2737` `cbrt-undiv_binary64_2840` `rem-log-exp_binary64_2847` `associate-r/_binary64_2748` `pow-prod-down_binary64_2877` `rem-exp-log_binary64_2846` `sinh-def_binary64_2991`

Counts

4 → 64

Calls

4 calls:

14.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
3.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))
2.0ms	(sinh.f64 y)

series823.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

371.0ms	(log.f64 (exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))
241.0ms	(exp.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
153.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
56.0ms	(sinh.f64 y)

simplify143.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4941	1195
1	4941	1195

prune97.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	76	5	81

Merged error: 0b

Counts

81 → 5

Compiler

Compiled 1172 to 376 computations (67.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite54.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64_2867`
35×	`pow-prod-down_binary64_2877`
18×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824`
16×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
8×	`add-sqr-sqrt_binary64_2828` `prod-exp_binary64_2855` `pow-prod-up_binary64_2876` `cbrt-unprod_binary64_2839`
6×	`pow-sqr_binary64_2779` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841` `sqrt-prod_binary64_2822`
5×	`sqrt-unprod_binary64_2826` `associate-*r/_binary64_2748`
4×	`sqrt-div_binary64_2823` `add-log-exp_binary64_2845`
2×	`rem-sqrt-square_binary64_2819` `pow-plus_binary64_2869`
1×	`frac-times_binary64_2816` `associate-l_binary64_2747` `-commutative_binary64_2737` `swap-sqr_binary64_2773` `rem-square-sqrt_binary64_2818` `associate-r_binary64_2746` `pow2_binary64_2887` `associate-l/_binary64_2749` `sinh-def_binary64_2991`

Counts

4 → 81

Calls

4 calls:

29.0ms	(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 (sinh.f64 y) y))))
6.0ms	(sqrt.f64 (sin.f64 x))
3.0ms	(sqrt.f64 (sin.f64 x))
2.0ms	(sinh.f64 y)

series552.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

440.0ms	(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 (sinh.f64 y) y))))
57.0ms	(sinh.f64 y)
30.0ms	(sqrt.f64 (sin.f64 x))
24.0ms	(sqrt.f64 (sin.f64 x))

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4956	1142
1	4956	1142

prune124.0ms (1.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	93	5	98

Merged error: 0b

Counts

98 → 5

Compiler

Compiled 1754 to 434 computations (75.3% saved)

regimes224.0ms (2.6%)

Compiler: Compiled 782 to 575 computations (26.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	23
1	11	23

end0.0ms (0%)

sample3.7s (43.3%)

Algorithm

1×

intervals

Results

790.0ms	2057×	body	1024	valid
707.0ms	1963×	body	1024	invalid
390.0ms	4400×	body	128	valid
270.0ms	1021×	body	512	valid
240.0ms	931×	body	512	invalid
230.0ms	2461×	body	128	invalid
89.0ms	516×	body	256	valid
79.0ms	465×	body	256	invalid
6.0ms	6×	body	2048	valid

Compiler

Compiled 157 to 113 computations (28% saved)

Details

analyze592.0ms (7%)

sample110.0ms (1.3%)

simplify248.0ms (2.9%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite31.0ms (0.4%)

series348.0ms (4.1%)

simplify118.0ms (1.4%)

prune91.0ms (1.1%)

localize20.0ms (0.2%)

rewrite41.0ms (0.5%)

series786.0ms (9.2%)

simplify105.0ms (1.2%)

prune126.0ms (1.5%)

localize21.0ms (0.2%)

rewrite31.0ms (0.4%)

series823.0ms (9.7%)

simplify143.0ms (1.7%)

prune97.0ms (1.1%)

localize19.0ms (0.2%)

rewrite54.0ms (0.6%)

series552.0ms (6.5%)

simplify110.0ms (1.3%)

prune124.0ms (1.5%)

regimes224.0ms (2.6%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.7s (43.3%)

Profiling