Details

analyze167.0ms (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)

sample62.0ms (1.9%)

Algorithm

1×

intervals

Results

37.0ms	129×	body	1024	valid
8.0ms	60×	body	512	valid
3.0ms	38×	body	256	valid
3.0ms	10×	body	2048	valid
1.0ms	19×	body	128	valid
0.0ms	1×	body	128	overflowed

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

59.3b

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))))
6.2b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite96.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`*-un-lft-identity_binary64_760`
31×	`add-sqr-sqrt_binary64_782`
30×	`times-frac_binary64_766`
17×	`add-cube-cbrt_binary64_795`
8×	`cosh-undef_binary64_954` `distribute-lft-out_binary64_711`
7×	`sinh-undef_binary64_953` `add-log-exp_binary64_799` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712`
6×	`associate-/l*_binary64_705`
5×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `associate-/r*_binary64_704`
3×	`pow1_binary64_821` `cancel-sign-sub-inv_binary64_726`
2×	`flip3--_binary64_764` `flip--_binary64_735` `associate-/l/_binary64_707` `flip3-+_binary64_763` `associate-/r/_binary64_706` `flip-+_binary64_734`
1×	`diff-log_binary64_852` `sub-neg_binary64_753` `tanh-undef_binary64_955` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `sum-log_binary64_851` `+-commutative_binary64_690`

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))))
6.0ms	(-.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)

series131.0ms (4.1%)

Error

0.9b

Counts

3 → 16

Calls

3 calls:

64.0ms	(/.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 551 to 341 computations (38.1% saved)

simplify84.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4974	2437
1	4974	2437

prune79.0ms (2.5%)

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 2039 to 379 computations (81.4% 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_949` `tanh-def-b_binary64_948` `tanh-def-a_binary64_947` `pow1_binary64_821` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh.f64 x)

Compiler

Compiled 82 to 46 computations (43.9% saved)

series56.0ms (1.7%)

Error

Counts

1 → 4

Calls

1 calls:

53.0ms

(tanh.f64 x)

Compiler

Compiled 107 to 94 computations (12.1% saved)

simplify50.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5420	116

prune11.0ms (0.4%)

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 97 to 53 computations (45.4% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite47.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_782`
12×	`associate-r_binary64_700`
7×	`add-exp-log_binary64_798`
6×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `unpow-prod-down_binary64_839` `unswap-sqr_binary64_728` `cube-prod_binary64_788`
3×	`prod-exp_binary64_809` `associate-l_binary64_701`
2×	`pow1_binary64_821` `sqr-pow_binary64_732`
1×	`pow-to-exp_binary64_829` `pow-exp_binary64_828` `cbrt-unprod_binary64_793` `unpow3_binary64_826` `cube-mult_binary64_790` `*-commutative_binary64_691` `diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `cancel-sign-sub-inv_binary64_726`

Counts

2 → 43

Calls

2 calls:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
3.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))

Compiler

Compiled 594 to 447 computations (24.7% saved)

series98.0ms (3.1%)

Error

Counts

2 → 9

Calls

2 calls:

58.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
35.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 148 to 122 computations (17.6% saved)

simplify50.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5194	541

prune37.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	52	2	54

Error

Counts

54 → 2

Compiler

Compiled 562 to 404 computations (28.1% saved)

regimes33.0ms (1%)

Accuracy

Total 0.0b remaining (88.1%)

Threshold costs 0.0b (88.1%)

Compiler

Compiled 218 to 162 computations (25.7% 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 (66%)

Algorithm

1×

intervals

Results

1.0s	3917×	body	1024	valid
253.0ms	1920×	body	512	valid
116.0ms	396×	body	2048	valid
77.0ms	987×	body	256	valid
35.0ms	780×	body	128	valid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 111 to 84 computations (24.3% saved)

Details

analyze167.0ms (5.2%)

sample62.0ms (1.9%)

simplify70.0ms (2.2%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite96.0ms (3%)

series131.0ms (4.1%)

simplify84.0ms (2.6%)

prune79.0ms (2.5%)

localize2.0ms (0.1%)

rewrite7.0ms (0.2%)

series56.0ms (1.7%)

simplify50.0ms (1.6%)

prune11.0ms (0.4%)

localize4.0ms (0.1%)

rewrite47.0ms (1.5%)

series98.0ms (3.1%)

simplify50.0ms (1.6%)

prune37.0ms (1.2%)

regimes33.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.1s (66%)

Profiling