Details

analyze165.0ms (5.3%)

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)

sample60.0ms (1.9%)

Algorithm

1×

intervals

Results

31.0ms	117×	body	1024	valid
9.0ms	70×	body	512	valid
7.0ms	13×	body	2048	valid
3.0ms	35×	body	256	valid
1.0ms	21×	body	128	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify70.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4797	22
1	4797	22

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

58.6b

Counts

2 → 1

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.3b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite94.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`*-un-lft-identity_binary64_3147`
31×	`add-sqr-sqrt_binary64_3169`
30×	`times-frac_binary64_3153`
17×	`add-cube-cbrt_binary64_3182`
8×	`cosh-undef_binary64_3341` `distribute-lft-out_binary64_3098`
7×	`sinh-undef_binary64_3340` `add-log-exp_binary64_3186` `difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099`
6×	`associate-/l*_binary64_3092`
5×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `associate-/r*_binary64_3091`
3×	`pow1_binary64_3208` `cancel-sign-sub-inv_binary64_3113`
2×	`flip3--_binary64_3151` `flip--_binary64_3122` `associate-/l/_binary64_3094` `flip3-+_binary64_3150` `associate-/r/_binary64_3093` `flip-+_binary64_3121`
1×	`diff-log_binary64_3239` `sub-neg_binary64_3140` `tanh-undef_binary64_3342` `div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `div-sub_binary64_3152` `clear-num_binary64_3146` `div-inv_binary64_3144` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

3 → 89

Calls

3 calls:

11.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1999 to 313 computations (84.3% saved)

series141.0ms (4.5%)

Error

0.9b

Counts

3 → 16

Calls

3 calls:

78.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
27.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
20.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 550 to 349 computations (36.5% saved)

simplify83.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4934	2428
1	4934	2428

prune80.0ms (2.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	2	106

Error

Counts

106 → 2

Compiler

Compiled 2017 to 373 computations (81.5% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh.f64 x)

Compiler

Compiled 82 to 46 computations (43.9% saved)

series63.0ms (2%)

Error

Counts

1 → 6

Calls

1 calls:

58.0ms

(tanh.f64 x)

Compiler

Compiled 158 to 135 computations (14.6% saved)

simplify34.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4965	163
1	4965	163

prune9.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Error

Counts

18 → 2

Compiler

Compiled 127 to 76 computations (40.2% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(sinh.f64 x)
1.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite24.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 37

Calls

2 calls:

3.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms	(sinh.f64 x)

Compiler

Compiled 426 to 119 computations (72.1% saved)

series156.0ms (5%)

Error

Counts

2 → 11

Calls

2 calls:

104.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
44.0ms	(sinh.f64 x)

Compiler

Compiled 315 to 225 computations (28.6% saved)

simplify84.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4896	587
1	4896	587

prune26.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	48	2	50

Error

Counts

50 → 2

Compiler

Compiled 487 to 166 computations (65.9% saved)

regimes47.0ms (1.5%)

Accuracy

Total 0.0b remaining (89.6%)

Threshold costs 0.0b (89.6%)

Compiler

Compiled 392 to 304 computations (22.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end0.0ms (0%)

sample2.0s (63%)

Algorithm

1×

intervals

Results

1.0s	3873×	body	1024	valid
274.0ms	1950×	body	512	valid
122.0ms	429×	body	2048	valid
77.0ms	957×	body	256	valid
32.0ms	791×	body	128	valid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 198 to 155 computations (21.7% saved)

Details

analyze165.0ms (5.3%)

sample60.0ms (1.9%)

simplify70.0ms (2.2%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite94.0ms (3%)

series141.0ms (4.5%)

simplify83.0ms (2.7%)

prune80.0ms (2.6%)

localize2.0ms (0.1%)

rewrite7.0ms (0.2%)

series63.0ms (2%)

simplify34.0ms (1.1%)

prune9.0ms (0.3%)

localize4.0ms (0.1%)

rewrite24.0ms (0.8%)

series156.0ms (5%)

simplify84.0ms (2.7%)

prune26.0ms (0.8%)

regimes47.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.0s (63%)

Profiling