Details

analyze13.0ms (0.4%)

Algorithm

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)

sample54.0ms (1.5%)

Algorithm

1×

intervals

Results

32.0ms	126×	body	1024	valid
8.0ms	63×	body	512	valid
4.0ms	14×	body	2048	valid
2.0ms	26×	body	256	valid
1.0ms	27×	body	128	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify157.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

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

58.4b

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)))
1.5b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.5b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

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` `difference-of-squares_binary64_388` `add-log-exp_binary64_458` `distribute-lft-out--_binary64_371`
6×	`associate-/l*_binary64_364`
5×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `associate-/r*_binary64_363`
3×	`cancel-sign-sub-inv_binary64_385` `pow1_binary64_480`
2×	`flip3-+_binary64_422` `flip3--_binary64_423` `associate-/r/_binary64_365` `flip-+_binary64_393` `flip--_binary64_394` `associate-/l/_binary64_366`
1×	`clear-num_binary64_418` `sub-neg_binary64_412` `div-inv_binary64_416` `sum-log_binary64_510` `frac-2neg_binary64_430` `diff-log_binary64_511` `+-commutative_binary64_349` `div-exp_binary64_470` `tanh-undef_binary64_614` `cbrt-undiv_binary64_453` `div-sub_binary64_424`

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)))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series114.0ms (3.2%)

Counts

3 → 12

Calls

3 calls:

72.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
25.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
16.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 271 to 193 computations (28.8% saved)

simplify86.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5157	2343

prune77.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	3	102

Error

Counts

102 → 3

Compiler

Compiled 1965 to 340 computations (82.7% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64_419` `add-log-exp_binary64_458` `tanh-def-b_binary64_607` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `tanh-def-a_binary64_606` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480` `tanh-def-c_binary64_608`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh.f64 x)

series44.0ms (1.3%)

Counts

1 → 4

Calls

1 calls:

44.0ms

(tanh.f64 x)

Compiler

Compiled 73 to 66 computations (9.6% saved)

simplify48.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5420	116

prune9.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Error

Counts

17 → 3

Compiler

Compiled 106 to 56 computations (47.2% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x)))
0.7b	(cbrt.f64 (tanh.f64 x))
0.7b	(cbrt.f64 (tanh.f64 x))
0.7b	(cbrt.f64 (tanh.f64 x))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`cbrt-div_binary64_451`
25×	`cbrt-prod_binary64_450`
23×	`add-sqr-sqrt_binary64_441`
15×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
11×	`tanh-def-b_binary64_607` `tanh-def-a_binary64_606` `pow1_binary64_480` `tanh-def-c_binary64_608`
9×	`pow1/3_binary64_501` `frac-times_binary64_429`
6×	`associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360` `add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `add-cbrt-cube_binary64_455`
3×	`associate-l/_binary64_362` `associate-r/_binary64_361`
2×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 97

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x)))
2.0ms	(cbrt.f64 (tanh.f64 x))
1.0ms	(cbrt.f64 (tanh.f64 x))
1.0ms	(cbrt.f64 (tanh.f64 x))

series663.0ms (18.8%)

Counts

4 → 16

Calls

4 calls:

206.0ms	(*.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x)))
154.0ms	(cbrt.f64 (tanh.f64 x))
153.0ms	(cbrt.f64 (tanh.f64 x))
149.0ms	(cbrt.f64 (tanh.f64 x))

Compiler

Compiled 590 to 471 computations (20.2% saved)

simplify69.0ms (2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5261	1595

prune84.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Error

Counts

116 → 3

Compiler

Compiled 1899 to 643 computations (66.1% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
9×	`times-frac_binary64_425`
4×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
3×	`associate-/r_binary64_363` `associate-/l_binary64_364`
2×	`sinh-def_binary64_604` `add-log-exp_binary64_458` `pow1_binary64_480`
1×	`clear-num_binary64_418` `cosh-def_binary64_605` `div-inv_binary64_416` `associate-/r/_binary64_365` `frac-2neg_binary64_430` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366`

Counts

2 → 37

Calls

2 calls:

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

series126.0ms (3.6%)

Counts

2 → 8

Calls

2 calls:

93.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
32.0ms	(sinh.f64 x)

Compiler

Compiled 153 to 116 computations (24.2% saved)

simplify81.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4905	521
1	4905	521

prune26.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	45	3	48

Error

Counts

48 → 3

Compiler

Compiled 439 to 131 computations (70.2% saved)

regimes32.0ms (0.9%)

Accuracy

Total 0.0b remaining (88.5%)

Threshold costs 0.0b (88.5%)

Compiler

Compiled 194 to 124 computations (36.1% 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%)

sample1.8s (50%)

Algorithm

1×

intervals

Results

1.0s	3917×	body	1024	valid
254.0ms	1916×	body	512	valid
105.0ms	366×	body	2048	valid
83.0ms	987×	body	256	valid
36.0ms	814×	body	128	valid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 99 to 65 computations (34.3% saved)

Details

analyze13.0ms (0.4%)

sample54.0ms (1.5%)

simplify157.0ms (4.5%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite28.0ms (0.8%)

series114.0ms (3.2%)

simplify86.0ms (2.4%)

prune77.0ms (2.2%)

localize2.0ms (0.1%)

rewrite1.0ms (0%)

series44.0ms (1.3%)

simplify48.0ms (1.4%)

prune9.0ms (0.3%)

localize5.0ms (0.2%)

rewrite19.0ms (0.5%)

series663.0ms (18.8%)

simplify69.0ms (2%)

prune84.0ms (2.4%)

localize4.0ms (0.1%)

rewrite7.0ms (0.2%)

series126.0ms (3.6%)

simplify81.0ms (2.3%)

prune26.0ms (0.7%)

regimes32.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (50%)

Profiling