Details

analyze313.0ms (8%)

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)

sample52.0ms (1.3%)

Algorithm

1×

intervals

Results

13.0ms	209×	body	128	valid
13.0ms	67×	body	1024	invalid
4.0ms	32×	body	512	invalid
3.0ms	15×	body	1024	valid
3.0ms	23×	body	512	valid
2.0ms	32×	body	128	invalid
2.0ms	18×	body	256	invalid
1.0ms	9×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify147.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4943	11
1	4943	11

prune2.0ms (0.1%)

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

14.6b

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))
14.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
9×	`add-sqr-sqrt_binary64_16127`
7×	`*-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140`
5×	`pow1_binary64_16166`
3×	`sinh-def_binary64_16290` `add-log-exp_binary64_16144` `times-frac_binary64_16111` `associate-r_binary64_16045` `associate-/r_binary64_16049` `associate-l*_binary64_16046`
2×	`associate-*r/_binary64_16047` `cbrt-unprod_binary64_16138` `div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `prod-exp_binary64_16154`
1×	`div-inv_binary64_16102` `associate-/l/_binary64_16052` `unswap-sqr_binary64_16073` `pow-prod-down_binary64_16176` `-commutative_binary64_16036` `frac-2neg_binary64_16116` `associate-/l_binary64_16050` `clear-num_binary64_16104`

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)

series214.0ms (5.5%)

Counts

3 → 9

Calls

3 calls:

97.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
80.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
38.0ms	(sinh.f64 y)

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5717	673

prune48.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	6	59

Error

0.0b

Counts

59 → 6

Compiler

Compiled 703 to 232 computations (67% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_16127`
19×	`*-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140` `times-frac_binary64_16111`
13×	`associate-r_binary64_16045`
10×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
5×	`pow1_binary64_16166`
3×	`add-log-exp_binary64_16144` `associate-/r_binary64_16049` `associate-/l_binary64_16050` `associate-l_binary64_16046`
2×	`sinh-def_binary64_16290` `cbrt-unprod_binary64_16138` `div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `div-inv_binary64_16102` `unswap-sqr_binary64_16073` `prod-exp_binary64_16154`
1×	`associate-r/_binary64_16047` `associate-/l/_binary64_16052` `pow-prod-down_binary64_16176` `-commutative_binary64_16036` `frac-2neg_binary64_16116` `clear-num_binary64_16104`

Counts

3 → 68

Calls

3 calls:

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

series203.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

101.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
68.0ms	(/.f64 (sinh.f64 y) x)
34.0ms	(sinh.f64 y)

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	6276	1011

prune49.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	76	7	83

Error

Counts

83 → 7

Compiler

Compiled 1044 to 298 computations (71.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 x (sinh.f64 y))
0.9b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64_16111`
54×	`*-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127`
17×	`associate-/r*_binary64_16049`
10×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
6×	`sinh-def_binary64_16290` `div-inv_binary64_16102` `associate-/r/_binary64_16051` `associate-/l*_binary64_16050`
4×	`div-exp_binary64_16156` `cbrt-undiv_binary64_16139`
3×	`add-log-exp_binary64_16144` `pow1_binary64_16166`
2×	`frac-2neg_binary64_16116` `clear-num_binary64_16104`

Counts

3 → 110

Calls

3 calls:

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

series247.0ms (6.3%)

Counts

3 → 9

Calls

3 calls:

110.0ms	(/.f64 x (sinh.f64 y))
102.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
35.0ms	(sinh.f64 y)

simplify105.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4914	2253
1	4914	2253

prune78.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	120	6	126

Error

Counts

126 → 6

Compiler

Compiled 1806 to 401 computations (77.8% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_16127`
19×	`*-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140` `times-frac_binary64_16111`
13×	`associate-l_binary64_16046`
10×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
5×	`pow1_binary64_16166`
3×	`sinh-def_binary64_16290` `add-log-exp_binary64_16144` `associate-r_binary64_16045` `associate-/r_binary64_16049` `associate-/l_binary64_16050`
2×	`cbrt-unprod_binary64_16138` `div-exp_binary64_16156` `cbrt-undiv_binary64_16139` `div-inv_binary64_16102` `unswap-sqr_binary64_16073` `prod-exp_binary64_16154`
1×	`associate-r/_binary64_16047` `frac-times_binary64_16115` `pow-prod-down_binary64_16176` `associate-l/_binary64_16048` `*-commutative_binary64_16036` `frac-2neg_binary64_16116` `clear-num_binary64_16104`

Counts

3 → 69

Calls

3 calls:

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

series155.0ms (4%)

Counts

3 → 9

Calls

3 calls:

100.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
35.0ms	(sinh.f64 y)
19.0ms	(/.f64 (sin.f64 x) x)

simplify82.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4934	1001
1	4934	1001

prune46.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	78	6	84

Error

Counts

84 → 6

Compiler

Compiled 990 to 245 computations (75.3% saved)

regimes147.0ms (3.8%)

Accuracy

Total 0.1b remaining (89.9%)

Threshold costs 0.1b (89.9%)

Compiler

Compiled 1153 to 798 computations (30.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample1.8s (46.1%)

Algorithm

1×

intervals

Results

383.0ms	1961×	body	1024	invalid
303.0ms	6234×	body	128	valid
140.0ms	635×	body	1024	valid
132.0ms	972×	body	512	invalid
97.0ms	692×	body	512	valid
51.0ms	787×	body	128	invalid
49.0ms	471×	body	256	invalid
47.0ms	439×	body	256	valid

Compiler

Compiled 284 to 201 computations (29.2% saved)

Details

analyze313.0ms (8%)

sample52.0ms (1.3%)

simplify147.0ms (3.7%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite19.0ms (0.5%)

series214.0ms (5.5%)

simplify59.0ms (1.5%)

prune48.0ms (1.2%)

localize6.0ms (0.1%)

rewrite19.0ms (0.5%)

series203.0ms (5.2%)

simplify66.0ms (1.7%)

prune49.0ms (1.3%)

localize6.0ms (0.1%)

rewrite19.0ms (0.5%)

series247.0ms (6.3%)

simplify105.0ms (2.7%)

prune78.0ms (2%)

localize6.0ms (0.2%)

rewrite17.0ms (0.4%)

series155.0ms (4%)

simplify82.0ms (2.1%)

prune46.0ms (1.2%)

regimes147.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (46.1%)

Profiling