Details

analyze331.0ms (6.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4797	22
1	4797	22
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

Compiler

Compiled 14 to 8 computations (42.9% saved)

sample117.0ms (2.2%)

Algorithm

1×

intervals

Results

70.0ms	135×	body	1024	valid
23.0ms	60×	body	512	valid
5.0ms	30×	body	256	valid
3.0ms	5×	body	2048	valid
2.0ms	26×	body	128	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify137.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4797	22
1	4797	22

prune5.0ms (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

59.5b

Counts

2 → 1

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

1.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.0b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite52.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`*-un-lft-identity_binary64_3147`
30×	`times-frac_binary64_3153` `add-sqr-sqrt_binary64_3169`
16×	`add-cube-cbrt_binary64_3182`
7×	`cosh-undef_binary64_3341` `distribute-lft-out_binary64_3098` `distribute-lft-out--_binary64_3099` `difference-of-squares_binary64_3116` `sinh-undef_binary64_3340`
6×	`associate-/l*_binary64_3092`
5×	`associate-/r*_binary64_3091`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
3×	`cancel-sign-sub-inv_binary64_3113`
2×	`flip--_binary64_3122` `flip3--_binary64_3151` `associate-/l/_binary64_3094` `pow1_binary64_3208` `associate-/r/_binary64_3093`
1×	`clear-num_binary64_3146` `flip-+_binary64_3121` `frac-2neg_binary64_3158` `flip3-+_binary64_3150` `sub-neg_binary64_3140` `div-sub_binary64_3152` `cbrt-undiv_binary64_3181` `tanh-undef_binary64_3342` `div-exp_binary64_3198` `diff-log_binary64_3239` `div-inv_binary64_3144`

Counts

2 → 76

Calls

2 calls:

26.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
12.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series188.0ms (3.5%)

Counts

2 → 8

Calls

2 calls:

139.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
48.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 179 to 127 computations (29.1% saved)

simplify170.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	5152	2130

prune128.0ms (2.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	2	85

Error

Counts

85 → 2

Compiler

Compiled 1666 to 300 computations (82% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64_3147` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `tanh-def-a_binary64_3334` `add-sqr-sqrt_binary64_3169` `pow1_binary64_3208` `tanh-def-b_binary64_3335` `add-log-exp_binary64_3186` `tanh-def-c_binary64_3336` `add-cube-cbrt_binary64_3182`

Counts

1 → 10

Calls

1 calls:

2.0ms

(tanh.f64 x)

series101.0ms (1.9%)

Counts

1 → 4

Calls

1 calls:

101.0ms

(tanh.f64 x)

Compiler

Compiled 73 to 66 computations (9.6% saved)

simplify94.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5420	116

prune15.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Error

Counts

16 → 2

Compiler

Compiled 95 to 51 computations (46.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(sinh.f64 x)
1.5b	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
9×	`times-frac_binary64_3153`
4×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
3×	`associate-/r_binary64_3091` `associate-/l_binary64_3092`
2×	`sinh-def_binary64_3332` `pow1_binary64_3208` `add-log-exp_binary64_3186`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `associate-/l/_binary64_3094` `cbrt-undiv_binary64_3181` `cosh-def_binary64_3333` `div-exp_binary64_3198` `associate-/r/_binary64_3093` `div-inv_binary64_3144`

Counts

2 → 37

Calls

2 calls:

11.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
2.0ms	(sinh.f64 x)

series247.0ms (4.6%)

Counts

2 → 8

Calls

2 calls:

183.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
63.0ms	(sinh.f64 x)

Compiler

Compiled 153 to 116 computations (24.2% saved)

simplify170.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	4905	521
1	4905	521

prune45.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	2	47

Error

Counts

47 → 2

Compiler

Compiled 439 to 131 computations (70.2% saved)

regimes50.0ms (0.9%)

Accuracy

Total 0.0b remaining (78%)

Threshold costs 0.0b (78%)

Compiler

Compiled 106 to 74 computations (30.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end0.0ms (0%)

sample3.4s (64.1%)

Algorithm

1×

intervals

Results

2.0s	3866×	body	1024	valid
529.0ms	1994×	body	512	valid
214.0ms	382×	body	2048	valid
169.0ms	1024×	body	256	valid
58.0ms	734×	body	128	valid

Compiler

Compiled 55 to 40 computations (27.3% saved)

Details

analyze331.0ms (6.2%)

sample117.0ms (2.2%)

simplify137.0ms (2.6%)

prune5.0ms (0.1%)

localize15.0ms (0.3%)

rewrite52.0ms (1%)

series188.0ms (3.5%)

simplify170.0ms (3.2%)

prune128.0ms (2.4%)

localize4.0ms (0.1%)

rewrite3.0ms (0.1%)

series101.0ms (1.9%)

simplify94.0ms (1.8%)

prune15.0ms (0.3%)

localize8.0ms (0.2%)

rewrite18.0ms (0.3%)

series247.0ms (4.6%)

simplify170.0ms (3.2%)

prune45.0ms (0.8%)

regimes50.0ms (0.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.4s (64.1%)

Profiling