Details

analyze344.0ms (6.1%)

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
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)

sample63.0ms (1.1%)

Algorithm

1×

intervals

Results

20.0ms	82×	body	1024	invalid
10.0ms	202×	body	128	valid
7.0ms	25×	body	1024	valid
6.0ms	40×	body	512	invalid
2.0ms	15×	body	512	valid
2.0ms	30×	body	128	invalid
2.0ms	14×	body	256	valid
1.0ms	13×	body	256	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify226.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4963	11
1	4963	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: 15.0b

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))
15.0b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_13590` `add-exp-log_binary64_13592`
9×	`add-sqr-sqrt_binary64_13578`
7×	`add-cube-cbrt_binary64_13589` `*-un-lft-identity_binary64_13557`
5×	`pow1_binary64_13615`
3×	`times-frac_binary64_13563` `sinh-def_binary64_13739` `associate-/r_binary64_13503` `add-log-exp_binary64_13593` `associate-l_binary64_13500` `associate-r*_binary64_13499`
2×	`cbrt-undiv_binary64_13588` `prod-exp_binary64_13603` `cbrt-unprod_binary64_13587` `div-exp_binary64_13605` `associate-*r/_binary64_13501`
1×	`clear-num_binary64_13556` `associate-/l/_binary64_13506` `-commutative_binary64_13490` `div-inv_binary64_13554` `unswap-sqr_binary64_13525` `pow-prod-down_binary64_13625` `frac-2neg_binary64_13568` `associate-/l_binary64_13504`

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)

series409.0ms (7.2%)

Counts

3 → 9

Calls

3 calls:

189.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
151.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
69.0ms	(sinh.f64 y)

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5536	673

prune57.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	49	9	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	9	59

Merged error: 0.2b

Counts

59 → 9

Compiler

Compiled 774 to 273 computations (64.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_13578`
19×	`times-frac_binary64_13563` `add-cube-cbrt_binary64_13589` `*-un-lft-identity_binary64_13557`
13×	`associate-r_binary64_13499`
10×	`add-cbrt-cube_binary64_13590` `add-exp-log_binary64_13592`
5×	`pow1_binary64_13615`
3×	`associate-/r_binary64_13503` `associate-/l_binary64_13504` `add-log-exp_binary64_13593` `associate-l_binary64_13500`
2×	`cbrt-undiv_binary64_13588` `prod-exp_binary64_13603` `cbrt-unprod_binary64_13587` `sinh-def_binary64_13739` `div-exp_binary64_13605` `div-inv_binary64_13554` `unswap-sqr_binary64_13525`
1×	`clear-num_binary64_13556` `associate-/l/_binary64_13506` `associate-r/_binary64_13501` `-commutative_binary64_13490` `pow-prod-down_binary64_13625` `frac-2neg_binary64_13568`

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)

series386.0ms (6.8%)

Counts

3 → 9

Calls

3 calls:

183.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
133.0ms	(/.f64 (sinh.f64 y) x)
70.0ms	(sinh.f64 y)

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	6168	1011

prune58.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	78	8	86

Merged error: 0.2b

Counts

86 → 8

Compiler

Compiled 1076 to 324 computations (69.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_13585`
23×	`add-sqr-sqrt_binary64_13578`
15×	`add-cube-cbrt_binary64_13589` `*-un-lft-identity_binary64_13557`
11×	`pow1_binary64_13615`
9×	`pow1/3_binary64_13636`
6×	`swap-sqr_binary64_13524` `associate-l_binary64_13500` `associate-r_binary64_13499` `add-exp-log_binary64_13592`
4×	`add-cbrt-cube_binary64_13590` `unswap-sqr_binary64_13525` `add-log-exp_binary64_13593`
2×	`pow-sqr_binary64_13530` `pow-prod-up_binary64_13624` `pow-prod-down_binary64_13625`
1×	`prod-exp_binary64_13603` `cbrt-unprod_binary64_13587` `pow2_binary64_13635` `*-commutative_binary64_13490` `pow-plus_binary64_13617`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series654.0ms (11.6%)

Counts

4 → 12

Calls

4 calls:

182.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
170.0ms	(cbrt.f64 x)
152.0ms	(cbrt.f64 x)
150.0ms	(cbrt.f64 x)

simplify71.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune71.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0.2b

Counts

93 → 8

Compiler

Compiled 1491 to 497 computations (66.7% 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))
15.1b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_13592`
17×	`add-cbrt-cube_binary64_13590`
16×	`associate-r_binary64_13499`
14×	`add-sqr-sqrt_binary64_13578`
13×	`prod-exp_binary64_13603`
12×	`add-cube-cbrt_binary64_13589` `*-un-lft-identity_binary64_13557`
10×	`pow1_binary64_13615`
9×	`times-frac_binary64_13563`
7×	`cbrt-unprod_binary64_13587`
4×	`sinh-def_binary64_13739` `div-exp_binary64_13605` `associate-r/_binary64_13501` `pow-prod-down_binary64_13625` `associate-l*_binary64_13500`
3×	`add-log-exp_binary64_13593`
2×	`cbrt-undiv_binary64_13588` `1-exp_binary64_13598` `*-commutative_binary64_13490` `rec-exp_binary64_13604`
1×	`un-div-inv_binary64_13555` `div-inv_binary64_13554` `unswap-sqr_binary64_13525` `frac-times_binary64_13567` `associate-*l/_binary64_13502`

Counts

3 → 67

Calls

3 calls:

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

series450.0ms (8%)

Counts

3 → 9

Calls

3 calls:

203.0ms	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
171.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
76.0ms	(sinh.f64 y)

simplify67.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4967	969
1	4967	969

prune49.0ms (0.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	75	9	84

Merged error: 0.2b

Counts

84 → 9

Compiler

Compiled 969 to 345 computations (64.4% saved)

regimes362.0ms (6.4%)

Compiler: Compiled 1393 to 962 computations (30.9% 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%)

sample2.2s (38.4%)

Algorithm

1×

intervals

Results

508.0ms	2060×	body	1024	invalid
307.0ms	6183×	body	128	valid
198.0ms	660×	body	1024	valid
158.0ms	1026×	body	512	invalid
116.0ms	707×	body	512	valid
60.0ms	525×	body	256	invalid
54.0ms	450×	body	256	valid
51.0ms	806×	body	128	invalid

Compiler

Compiled 344 to 242 computations (29.7% saved)

Details

analyze344.0ms (6.1%)

sample63.0ms (1.1%)

simplify226.0ms (4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite15.0ms (0.3%)

series409.0ms (7.2%)

simplify53.0ms (0.9%)

prune57.0ms (1%)

localize6.0ms (0.1%)

rewrite18.0ms (0.3%)

series386.0ms (6.8%)

simplify62.0ms (1.1%)

prune58.0ms (1%)

localize10.0ms (0.2%)

rewrite16.0ms (0.3%)

series654.0ms (11.6%)

simplify71.0ms (1.3%)

prune71.0ms (1.3%)

localize8.0ms (0.1%)

rewrite21.0ms (0.4%)

series450.0ms (8%)

simplify67.0ms (1.2%)

prune49.0ms (0.9%)

regimes362.0ms (6.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (38.4%)

Profiling