Details

analyze340.0ms (5.1%)

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
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)

sample69.0ms (1%)

Algorithm

1×

intervals

Results

19.0ms	59×	body	1024	valid
13.0ms	54×	body	1024	invalid
8.0ms	150×	body	128	valid
4.0ms	72×	body	128	invalid
4.0ms	26×	body	512	invalid
4.0ms	26×	body	512	valid
2.0ms	20×	body	256	valid
2.0ms	16×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify229.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4865	11
1	4865	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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_3468`
13×	`associate-r_binary64_3389`
10×	`*-un-lft-identity_binary64_3447` `add-cube-cbrt_binary64_3479` `times-frac_binary64_3453`
7×	`add-cbrt-cube_binary64_3480` `add-exp-log_binary64_3482`
4×	`pow1_binary64_3505`
3×	`associate-l_binary64_3390`
2×	`cbrt-unprod_binary64_3477` `add-log-exp_binary64_3483` `unswap-sqr_binary64_3415` `prod-exp_binary64_3493`
1×	`sinh-def_binary64_3629` `div-exp_binary64_3495` `associate-r/_binary64_3391` `cbrt-undiv_binary64_3478` `-commutative_binary64_3380` `pow-prod-down_binary64_3515` `div-inv_binary64_3444`

Counts

2 → 40

Calls

2 calls:

13.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	(sinh.f64 y)

series293.0ms (4.4%)

Counts

2 → 6

Calls

2 calls:

217.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
76.0ms	(sinh.f64 y)

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5580	622

prune32.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Merged error: 0b

Counts

47 → 3

Compiler

Compiled 620 to 174 computations (71.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))
0.6b	(cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
0.6b	(cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
0.6b	(cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_3505`
10×	`add-sqr-sqrt_binary64_3468`
9×	`pow1/3_binary64_3526`
8×	`-un-lft-identity_binary64_3447` `associate-r/_binary64_3391` `add-cube-cbrt_binary64_3479`
7×	`cbrt-div_binary64_3476` `cbrt-prod_binary64_3475`
6×	`add-exp-log_binary64_3482`
4×	`swap-sqr_binary64_3414` `add-log-exp_binary64_3483` `add-cbrt-cube_binary64_3480` `associate-l_binary64_3390` `associate-r_binary64_3389`
2×	`pow-sqr_binary64_3420` `pow-prod-down_binary64_3515` `pow-prod-up_binary64_3514`
1×	`cbrt-unprod_binary64_3477` `associate-l/_binary64_3392` `pow-plus_binary64_3507` `frac-times_binary64_3457` `pow2_binary64_3525` `-commutative_binary64_3380` `unswap-sqr_binary64_3415` `prod-exp_binary64_3493`

Counts

4 → 64

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))
5.0ms	(cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
5.0ms	(cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
5.0ms	(cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))

series2.3s (34.5%)

Counts

4 → 12

Calls

4 calls:

853.0ms	(.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))
491.0ms	(cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
488.0ms	(cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
475.0ms	(cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4956	1369
1	4956	1369

prune73.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0b

Counts

79 → 3

Compiler

Compiled 2192 to 345 computations (84.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
16.5b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_3482`
17×	`add-cbrt-cube_binary64_3480`
16×	`associate-r_binary64_3389`
14×	`add-sqr-sqrt_binary64_3468`
13×	`prod-exp_binary64_3493`
12×	`*-un-lft-identity_binary64_3447` `add-cube-cbrt_binary64_3479`
10×	`pow1_binary64_3505`
9×	`times-frac_binary64_3453`
7×	`cbrt-unprod_binary64_3477`
4×	`sinh-def_binary64_3629` `div-exp_binary64_3495` `associate-r/_binary64_3391` `associate-l*_binary64_3390` `pow-prod-down_binary64_3515`
3×	`add-log-exp_binary64_3483`
2×	`1-exp_binary64_3488` `cbrt-undiv_binary64_3478` `rec-exp_binary64_3494` `*-commutative_binary64_3380`
1×	`associate-*l/_binary64_3392` `frac-times_binary64_3457` `un-div-inv_binary64_3445` `unswap-sqr_binary64_3415` `div-inv_binary64_3444`

Counts

3 → 67

Calls

3 calls:

10.0ms	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms	(sinh.f64 y)

series445.0ms (6.7%)

Counts

3 → 9

Calls

3 calls:

205.0ms	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
168.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
72.0ms	(sinh.f64 y)

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4972	969
1	4972	969

prune49.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Merged error: 0b

Counts

79 → 3

Compiler

Compiled 969 to 345 computations (64.4% saved)

regimes68.0ms (1%)

Compiler: Compiled 425 to 264 computations (37.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample2.5s (37.5%)

Algorithm

1×

intervals

Results

702.0ms	1988×	body	1024	valid
498.0ms	1997×	body	1024	invalid
241.0ms	4487×	body	128	valid
168.0ms	1044×	body	512	invalid
166.0ms	999×	body	512	valid
152.0ms	2643×	body	128	invalid
53.0ms	520×	body	256	valid
52.0ms	492×	body	256	invalid
4.0ms	6×	body	2048	valid

Compiler

Compiled 94 to 61 computations (35.1% saved)

Details

analyze340.0ms (5.1%)

sample69.0ms (1%)

simplify229.0ms (3.4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite18.0ms (0.3%)

series293.0ms (4.4%)

simplify56.0ms (0.8%)

prune32.0ms (0.5%)

localize13.0ms (0.2%)

rewrite27.0ms (0.4%)

series2.3s (34.5%)

simplify49.0ms (0.7%)

prune73.0ms (1.1%)

localize8.0ms (0.1%)

rewrite22.0ms (0.3%)

series445.0ms (6.7%)

simplify63.0ms (0.9%)

prune49.0ms (0.7%)

regimes68.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.5s (37.5%)

Profiling