Details

analyze172.0ms (5.2%)

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)

sample66.0ms (2%)

Algorithm

1×

intervals

Results

35.0ms	124×	body	1024	valid
12.0ms	55×	body	512	valid
5.0ms	16×	body	2048	valid
2.0ms	30×	body	256	valid
1.0ms	31×	body	128	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify76.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4797	22
1	4797	22

prune3.0ms (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

56.9b

Counts

2 → 1

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.3b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.2b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite101.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`*-un-lft-identity_binary64_1783`
31×	`add-sqr-sqrt_binary64_1805`
30×	`times-frac_binary64_1789`
17×	`add-cube-cbrt_binary64_1818`
8×	`cosh-undef_binary64_1977` `distribute-lft-out_binary64_1734`
7×	`sinh-undef_binary64_1976` `add-log-exp_binary64_1822` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
6×	`associate-/l*_binary64_1728`
5×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate-/r*_binary64_1727`
3×	`pow1_binary64_1844` `cancel-sign-sub-inv_binary64_1749`
2×	`flip3--_binary64_1787` `flip--_binary64_1758` `associate-/l/_binary64_1730` `flip3-+_binary64_1786` `associate-/r/_binary64_1729` `flip-+_binary64_1757`
1×	`diff-log_binary64_1875` `sub-neg_binary64_1776` `tanh-undef_binary64_1978` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `div-inv_binary64_1780` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

3 → 89

Calls

3 calls:

12.0ms	(/.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)

series148.0ms (4.5%)

Error

0.2b

Counts

3 → 18

Calls

3 calls:

74.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
28.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
24.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 602 to 382 computations (36.5% saved)

simplify87.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5039	2484

prune86.0ms (2.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	2	108

Error

Counts

108 → 2

Compiler

Compiled 2069 to 402 computations (80.6% 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_1972` `tanh-def-b_binary64_1971` `tanh-def-a_binary64_1970` `pow1_binary64_1844` `add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh.f64 x)

Compiler

Compiled 82 to 46 computations (43.9% saved)

series66.0ms (2%)

Error

Counts

1 → 6

Calls

1 calls:

61.0ms

(tanh.f64 x)

Compiler

Compiled 158 to 135 computations (14.6% saved)

simplify38.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4965	163
1	4965	163

prune11.0ms (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)
0.3b	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite27.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
9×	`times-frac_binary64_1789`
4×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
3×	`associate-/l_binary64_1728` `associate-/r_binary64_1727`
2×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `sinh-def_binary64_1968`
1×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l/_binary64_1730` `cosh-def_binary64_1969` `associate-/r/_binary64_1729`

Counts

2 → 37

Calls

2 calls:

4.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms	(sinh.f64 x)

Compiler

Compiled 426 to 119 computations (72.1% saved)

series164.0ms (4.9%)

Error

Counts

2 → 12

Calls

2 calls:

108.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
47.0ms	(sinh.f64 x)

Compiler

Compiled 337 to 241 computations (28.5% saved)

simplify70.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4874	615
1	4874	615

prune27.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	49	2	51

Error

Counts

51 → 2

Compiler

Compiled 509 to 182 computations (64.2% saved)

regimes69.0ms (2.1%)

Accuracy

Total 0.0b remaining (94.3%)

Threshold costs 0.0b (94.3%)

Compiler

Compiled 654 to 492 computations (24.8% 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%)

sample2.1s (63%)

Algorithm

1×

intervals

Results

1.0s	3875×	body	1024	valid
259.0ms	1907×	body	512	valid
114.0ms	404×	body	2048	valid
80.0ms	992×	body	256	valid
33.0ms	822×	body	128	valid
0.0ms	2×	body	128	overflowed

Compiler

Compiled 329 to 249 computations (24.3% saved)

Details

analyze172.0ms (5.2%)

sample66.0ms (2%)

simplify76.0ms (2.3%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite101.0ms (3%)

series148.0ms (4.5%)

simplify87.0ms (2.6%)

prune86.0ms (2.6%)

localize2.0ms (0.1%)

rewrite7.0ms (0.2%)

series66.0ms (2%)

simplify38.0ms (1.1%)

prune11.0ms (0.3%)

localize4.0ms (0.1%)

rewrite27.0ms (0.8%)

series164.0ms (4.9%)

simplify70.0ms (2.1%)

prune27.0ms (0.8%)

regimes69.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.1s (63%)

Profiling