Details

analyze489.0ms (8.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4948	22
1	4948	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
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)

sample52.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms	67×	body	1024	invalid
8.0ms	192×	body	128	valid
4.0ms	33×	body	512	invalid
4.0ms	31×	body	512	valid
4.0ms	17×	body	1024	valid
2.0ms	18×	body	256	invalid
1.0ms	16×	body	256	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify60.0ms (1%)

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

12.6b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
12.6b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite55.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
9×	`add-sqr-sqrt_binary64_12376`
7×	`add-cube-cbrt_binary64_12389` `*-un-lft-identity_binary64_12354`
5×	`pow1_binary64_12415`
3×	`add-log-exp_binary64_12393` `times-frac_binary64_12360` `sinh-def_binary64_12539` `associate-/r_binary64_12298` `associate-l_binary64_12295` `associate-r*_binary64_12294`
2×	`prod-exp_binary64_12403` `div-exp_binary64_12405` `cbrt-undiv_binary64_12388` `cbrt-unprod_binary64_12387` `associate-*r/_binary64_12296`
1×	`frac-2neg_binary64_12365` `clear-num_binary64_12353` `div-inv_binary64_12351` `associate-/l/_binary64_12301` `associate-/l_binary64_12299` `pow-prod-down_binary64_12425` `unswap-sqr_binary64_12322` `-commutative_binary64_12285`

Counts

3 → 49

Calls

3 calls:

6.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms	(sinh.f64 y)

Compiler

Compiled 621 to 171 computations (72.5% saved)

series578.0ms (10%)

Error

12.6b

Counts

3 → 27

Calls

3 calls:

351.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
161.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
43.0ms	(sinh.f64 y)

Compiler

Compiled 1296 to 861 computations (33.6% saved)

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5247	1157

prune59.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	5	77

Error

Counts

77 → 5

Compiler

Compiled 1033 to 391 computations (62.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_12376`
13×	`associate-l_binary64_12295`
10×	`add-cube-cbrt_binary64_12389` `*-un-lft-identity_binary64_12354` `times-frac_binary64_12360`
7×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
4×	`pow1_binary64_12415`
3×	`associate-r_binary64_12294`
2×	`prod-exp_binary64_12403` `add-log-exp_binary64_12393` `cbrt-unprod_binary64_12387` `unswap-sqr_binary64_12322`
1×	`pow-prod-down_binary64_12425` `div-exp_binary64_12405` `cbrt-undiv_binary64_12388` `associate-l/_binary64_12297` `div-inv_binary64_12351` `-commutative_binary64_12285` `sinh-def_binary64_12539`

Counts

2 → 40

Calls

2 calls:

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

Compiler

Compiled 565 to 153 computations (72.9% saved)

series267.0ms (4.6%)

Error

Counts

2 → 16

Calls

2 calls:

206.0ms	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
44.0ms	(sinh.f64 y)

Compiler

Compiled 702 to 481 computations (31.5% saved)

simplify68.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5824	823

prune38.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	56	5	61

Error

Counts

61 → 5

Compiler

Compiled 784 to 260 computations (66.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 x (sinh.f64 y))
0.4b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite91.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

87×	`times-frac_binary64_12360`
54×	`add-cube-cbrt_binary64_12389` `add-sqr-sqrt_binary64_12376` `*-un-lft-identity_binary64_12354`
17×	`associate-/r*_binary64_12298`
10×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
6×	`div-inv_binary64_12351` `sinh-def_binary64_12539` `associate-/r/_binary64_12300` `associate-/l*_binary64_12299`
4×	`div-exp_binary64_12405` `cbrt-undiv_binary64_12388`
3×	`pow1_binary64_12415` `add-log-exp_binary64_12393`
2×	`frac-2neg_binary64_12365` `clear-num_binary64_12353`

Counts

3 → 110

Calls

3 calls:

7.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
4.0ms	(/.f64 x (sinh.f64 y))
1.0ms	(sinh.f64 y)

Compiler

Compiled 1795 to 419 computations (76.7% saved)

series452.0ms (7.8%)

Error

Counts

3 → 23

Calls

3 calls:

220.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
170.0ms	(/.f64 x (sinh.f64 y))
43.0ms	(sinh.f64 y)

Compiler

Compiled 968 to 664 computations (31.4% saved)

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5032	2475

prune83.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	133	5	138

Error

Counts

138 → 5

Compiler

Compiled 1966 to 456 computations (76.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
0.2b	(.f64 (sqrt.f64 (.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
15.5b	(sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))
15.5b	(sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))

rewrite129.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`pow1_binary64_12415`
32×	`sqrt-pow1_binary64_12372`
23×	`add-sqr-sqrt_binary64_12376` `pow-prod-down_binary64_12425`
17×	`associate-l_binary64_12295`
16×	`add-cube-cbrt_binary64_12389` `*-un-lft-identity_binary64_12354`
12×	`pow1/2_binary64_12434`
11×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
10×	`pow-prod-up_binary64_12424` `times-frac_binary64_12360`
8×	`associate-*l/_binary64_12297`
7×	`associate-r_binary64_12294`
6×	`sqrt-div_binary64_12371` `sqrt-prod_binary64_12370` `pow-sqr_binary64_12327`
4×	`add-log-exp_binary64_12393` `swap-sqr_binary64_12321`
3×	`prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `unswap-sqr_binary64_12322`
2×	`*-commutative_binary64_12285`
1×	`pow2_binary64_12435` `pow-plus_binary64_12417` `sqrt-unprod_binary64_12374` `rem-square-sqrt_binary64_12366` `frac-times_binary64_12364` `associate-*r/_binary64_12296` `div-exp_binary64_12405` `cbrt-undiv_binary64_12388` `div-inv_binary64_12351`

Counts

4 → 108

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
7.0ms	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
5.0ms	(sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))
4.0ms	(sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))

Compiler

Compiled 2457 to 426 computations (82.7% saved)

series879.0ms (15.2%)

Error

Counts

4 → 32

Calls

4 calls:

253.0ms	(.f64 (sqrt.f64 (.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
203.0ms	(sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))
200.0ms	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
195.0ms	(sqrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))

Compiler

Compiled 2663 to 1655 computations (37.9% saved)

simplify50.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5342	2160

prune101.0ms (1.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	140	5	145

Error

Counts

145 → 5

Compiler

Compiled 2663 to 548 computations (79.4% saved)

regimes170.0ms (2.9%)

Accuracy

Total 0.1b remaining (92.9%)

Threshold costs 0.1b (92.9%)

Compiler

Compiled 1418 to 926 computations (34.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample1.9s (33.7%)

Algorithm

1×

intervals

Results

374.0ms	1943×	body	1024	invalid
286.0ms	6211×	body	128	valid
148.0ms	623×	body	1024	valid
128.0ms	934×	body	512	invalid
106.0ms	701×	body	512	valid
47.0ms	465×	body	256	valid
43.0ms	467×	body	256	invalid
39.0ms	720×	body	128	invalid

Compiler

Compiled 349 to 235 computations (32.7% saved)

Details

analyze489.0ms (8.5%)

sample52.0ms (0.9%)

simplify60.0ms (1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite55.0ms (0.9%)

series578.0ms (10%)

simplify64.0ms (1.1%)

prune59.0ms (1%)

localize6.0ms (0.1%)

rewrite35.0ms (0.6%)

series267.0ms (4.6%)

simplify68.0ms (1.2%)

prune38.0ms (0.7%)

localize9.0ms (0.2%)

rewrite91.0ms (1.6%)

series452.0ms (7.8%)

simplify74.0ms (1.3%)

prune83.0ms (1.4%)

localize9.0ms (0.1%)

rewrite129.0ms (2.2%)

series879.0ms (15.2%)

simplify50.0ms (0.9%)

prune101.0ms (1.7%)

regimes170.0ms (2.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (33.7%)

Profiling