Details

analyze595.0ms (7.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4854	22
1	4854	22
0	2	2
1	2	2

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)

sample83.0ms (1.1%)

Algorithm

1×

intervals

Results

18.0ms	79×	body	1024	invalid
17.0ms	67×	body	1024	valid
8.0ms	143×	body	128	valid
6.0ms	32×	body	512	invalid
6.0ms	30×	body	512	valid
5.0ms	84×	body	128	invalid
2.0ms	16×	body	256	valid
1.0ms	13×	body	256	invalid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5030	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

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

rewrite72.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_2487`
19×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465` `times-frac_binary64_2471`
13×	`associate-r_binary64_2405`
10×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
5×	`pow1_binary64_2526`
3×	`add-log-exp_binary64_2504` `associate-l_binary64_2406` `associate-/l_binary64_2410` `associate-/r_binary64_2409`
2×	`sinh-def_binary64_2650` `div-exp_binary64_2516` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `cbrt-undiv_binary64_2499` `unswap-sqr_binary64_2433` `div-inv_binary64_2462`
1×	`pow-prod-down_binary64_2536` `associate-r/_binary64_2407` `-commutative_binary64_2396` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `associate-/l/_binary64_2412`

Counts

3 → 68

Calls

3 calls:

8.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

Compiler

Compiled 942 to 236 computations (74.9% saved)

series455.0ms (5.9%)

Error

0.0b

Counts

3 → 22

Calls

3 calls:

254.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
103.0ms	(/.f64 (sinh.f64 y) y)
78.0ms	(sinh.f64 y)

Compiler

Compiled 897 to 646 computations (28% saved)

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4963	1217
1	4963	1217

prune75.0ms (1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	86	4	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	4	91

Error

Counts

91 → 4

Compiler

Compiled 1205 to 379 computations (68.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite139.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

39×	`cbrt-prod_binary64_2496`
27×	`add-sqr-sqrt_binary64_2487` `times-frac_binary64_2471`
26×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
7×	`add-cbrt-cube_binary64_2501` `cbrt-div_binary64_2497`
4×	`add-log-exp_binary64_2504` `associate-*r/_binary64_2407`
3×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-l_binary64_2406` `pow1/3_binary64_2547` `div-inv_binary64_2462`
1×	`unswap-sqr_binary64_2433` `frac-times_binary64_2475` `associate-l/_binary64_2408` `associate-r_binary64_2405` `-commutative_binary64_2396`

Counts

4 → 88

Calls

4 calls:

12.0ms	(.f64 (sin.f64 x) (.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (cbrt.f64 (/.f64 (sinh.f64 y) y))))
3.0ms	(cbrt.f64 (/.f64 (sinh.f64 y) y))
3.0ms	(cbrt.f64 (/.f64 (sinh.f64 y) y))
2.0ms	(cbrt.f64 (/.f64 (sinh.f64 y) y))

Compiler

Compiled 2431 to 392 computations (83.9% saved)

series1.4s (18.6%)

Error

Counts

4 → 28

Calls

4 calls:

786.0ms	(.f64 (sin.f64 x) (.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (cbrt.f64 (/.f64 (sinh.f64 y) y))))
217.0ms	(cbrt.f64 (/.f64 (sinh.f64 y) y))
205.0ms	(cbrt.f64 (/.f64 (sinh.f64 y) y))
204.0ms	(cbrt.f64 (/.f64 (sinh.f64 y) y))

Compiler

Compiled 1980 to 1295 computations (34.6% saved)

simplify106.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4951	2027
1	4951	2027

prune112.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	116	4	120

Error

Counts

120 → 4

Compiler

Compiled 2950 to 720 computations (75.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (sin.f64 x) (+.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (.f64 1/120 (pow.f64 y 4))))
0.0b	(+.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (*.f64 1/120 (pow.f64 y 4)))
0.1b	(*.f64 1/120 (pow.f64 y 4))
0.2b	(.f64 1/6 (.f64 y y))

rewrite140.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64_2487`
16×	`add-exp-log_binary64_2503`
13×	`add-cbrt-cube_binary64_2501`
11×	`pow1_binary64_2526` `associate-r_binary64_2405`
10×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`add-log-exp_binary64_2504` `associate-l_binary64_2406`
7×	`prod-exp_binary64_2514`
5×	`cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433`
4×	`pow-prod-down_binary64_2536` `unpow-prod-down_binary64_2544`
3×	`*-commutative_binary64_2396` `sum-log_binary64_2556`
2×	`sqr-pow_binary64_2437` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-*r/_binary64_2407`
1×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `associate-+l+_binary64_2398` `+-commutative_binary64_2395` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`

Counts

4 → 79

Calls

4 calls:

10.0ms	(.f64 (sin.f64 x) (+.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (.f64 1/120 (pow.f64 y 4))))
6.0ms	(+.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (*.f64 1/120 (pow.f64 y 4)))
6.0ms	(*.f64 1/120 (pow.f64 y 4))
6.0ms	(.f64 1/6 (.f64 y y))

Compiler

Compiled 1989 to 1335 computations (32.9% saved)

series558.0ms (7.2%)

Error

Counts

4 → 30

Calls

4 calls:

331.0ms	(.f64 (sin.f64 x) (+.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (.f64 1/120 (pow.f64 y 4))))
125.0ms	(+.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (*.f64 1/120 (pow.f64 y 4)))
34.0ms	(*.f64 1/120 (pow.f64 y 4))
29.0ms	(.f64 1/6 (.f64 y y))

Compiler

Compiled 1394 to 1126 computations (19.2% saved)

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5004	2015

prune138.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Error

Counts

113 → 4

Compiler

Compiled 2341 to 1550 computations (33.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)

rewrite94.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 73

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1378 to 305 computations (77.9% saved)

series415.0ms (5.3%)

Error

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt.f64 y)
112.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
89.0ms	(cbrt.f64 y)
84.0ms	(cbrt.f64 y)

Compiler

Compiled 591 to 398 computations (32.7% saved)

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune74.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Error

Counts

89 → 4

Compiler

Compiled 1403 to 358 computations (74.5% saved)

regimes182.0ms (2.3%)

Accuracy

Total 0.0b remaining (64%)

Threshold costs 0.0b (64%)

Compiler

Compiled 1180 to 944 computations (20% 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%)

sample2.8s (35.6%)

Algorithm

1×

intervals

Results

527.0ms	2022×	body	1024	valid
436.0ms	1900×	body	1024	invalid
275.0ms	4454×	body	128	valid
185.0ms	1015×	body	512	valid
157.0ms	976×	body	512	invalid
150.0ms	2475×	body	128	invalid
58.0ms	502×	body	256	valid
55.0ms	482×	body	256	invalid
4.0ms	7×	body	2048	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 245 to 197 computations (19.6% saved)

Details

analyze595.0ms (7.6%)

sample83.0ms (1.1%)

simplify70.0ms (0.9%)

prune2.0ms (0%)

localize11.0ms (0.1%)

rewrite72.0ms (0.9%)

series455.0ms (5.9%)

simplify63.0ms (0.8%)

prune75.0ms (1%)

localize13.0ms (0.2%)

rewrite139.0ms (1.8%)

series1.4s (18.6%)

simplify106.0ms (1.4%)

prune112.0ms (1.4%)

localize14.0ms (0.2%)

rewrite140.0ms (1.8%)

series558.0ms (7.2%)

simplify62.0ms (0.8%)

prune138.0ms (1.8%)

localize10.0ms (0.1%)

rewrite94.0ms (1.2%)

series415.0ms (5.3%)

simplify78.0ms (1%)

prune74.0ms (1%)

regimes182.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.8s (35.6%)

Profiling