Details

analyze176.0ms (5.7%)

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)

sample58.0ms (1.8%)

Algorithm

1×

intervals

Results

32.0ms	118×	body	1024	valid
9.0ms	70×	body	512	valid
3.0ms	38×	body	256	valid
3.0ms	9×	body	2048	valid
1.0ms	21×	body	128	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify80.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

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

59.3b

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)))
1.2b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.8b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite100.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`*-un-lft-identity_binary64_419`
31×	`add-sqr-sqrt_binary64_441`
30×	`times-frac_binary64_425`
17×	`add-cube-cbrt_binary64_454`
8×	`cosh-undef_binary64_613` `distribute-lft-out_binary64_370`
7×	`sinh-undef_binary64_612` `add-log-exp_binary64_458` `difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371`
6×	`associate-/l*_binary64_364`
5×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `associate-/r*_binary64_363`
3×	`pow1_binary64_480` `cancel-sign-sub-inv_binary64_385`
2×	`flip3--_binary64_423` `flip--_binary64_394` `associate-/l/_binary64_366` `flip3-+_binary64_422` `associate-/r/_binary64_365` `flip-+_binary64_393`
1×	`diff-log_binary64_511` `sub-neg_binary64_412` `tanh-undef_binary64_614` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418` `div-inv_binary64_416` `sum-log_binary64_510` `+-commutative_binary64_349`

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)

series127.0ms (4.1%)

Error

1.1b

Counts

3 → 12

Calls

3 calls:

71.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
24.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
22.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 407 to 242 computations (40.5% saved)

simplify87.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5157	2343

prune77.0ms (2.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	2	102

Error

Counts

102 → 2

Compiler

Compiled 1951 to 334 computations (82.9% 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_608` `tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `pow1_binary64_480` `add-log-exp_binary64_458` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh.f64 x)

Compiler

Compiled 82 to 46 computations (43.9% saved)

series61.0ms (2%)

Error

Counts

1 → 4

Calls

1 calls:

58.0ms

(tanh.f64 x)

Compiler

Compiled 107 to 94 computations (12.1% saved)

simplify49.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5420	116

prune9.0ms (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 101 to 56 computations (44.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.2b	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite51.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`*-un-lft-identity_binary64_419`
7×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
5×	`times-frac_binary64_425` `associate-/r*_binary64_363`
4×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
3×	`cosh-undef_binary64_613` `distribute-lft-out_binary64_370`
2×	`pow1_binary64_480` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `flip3-+_binary64_422` `associate-/r/_binary64_365` `flip-+_binary64_393`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416` `sinh-def_binary64_604` `associate-r/_binary64_361` `associate-/l/_binary64_366` `associate-/l_binary64_364` `sum-log_binary64_510` `+-commutative_binary64_349`

Counts

2 → 41

Calls

2 calls:

9.0ms	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 780 to 252 computations (67.7% saved)

series117.0ms (3.7%)

Error

Counts

2 → 8

Calls

2 calls:

95.0ms	(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
17.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 230 to 164 computations (28.7% saved)

simplify65.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4943	632
1	4943	632

prune30.0ms (1%)

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 628 to 211 computations (66.4% saved)

regimes40.0ms (1.3%)

Accuracy

Total 0.0b remaining (89.3%)

Threshold costs 0.0b (89.3%)

Compiler

Compiled 294 to 196 computations (33.3% 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 (62.9%)

Algorithm

1×

intervals

Results

1.0s	3850×	body	1024	valid
265.0ms	1955×	body	512	valid
119.0ms	411×	body	2048	valid
81.0ms	993×	body	256	valid
34.0ms	791×	body	128	valid
0.0ms	2×	body	128	overflowed

Compiler

Compiled 149 to 101 computations (32.2% saved)

Details

analyze176.0ms (5.7%)

sample58.0ms (1.8%)

simplify80.0ms (2.6%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite100.0ms (3.2%)

series127.0ms (4.1%)

simplify87.0ms (2.8%)

prune77.0ms (2.5%)

localize2.0ms (0.1%)

rewrite7.0ms (0.2%)

series61.0ms (2%)

simplify49.0ms (1.6%)

prune9.0ms (0.3%)

localize8.0ms (0.2%)

rewrite51.0ms (1.7%)

series117.0ms (3.7%)

simplify65.0ms (2.1%)

prune30.0ms (1%)

regimes40.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.0s (62.9%)

Profiling