Details

analyze201.0ms (6.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5268	13
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%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample58.0ms (1.8%)

Algorithm

1×

intervals

Results

28.0ms	111×	body	1024	valid
9.0ms	73×	body	512	valid
6.0ms	23×	body	2048	valid
2.0ms	28×	body	256	valid
1.0ms	21×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify57.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5268	13

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

57.8b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.0b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

4×	`add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
3×	`add-log-exp_binary64_3186` `cancel-sign-sub-inv_binary64_3113`
2×	`add-cube-cbrt_binary64_3182`
1×	`sinh-undef_binary64_3340` `diff-log_binary64_3239` `pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `flip3--_binary64_3151` `sub-neg_binary64_3140` `flip--_binary64_3122` `difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099`

Counts

1 → 17

Calls

1 calls:

5.0ms

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

Compiler

Compiled 251 to 93 computations (62.9% saved)

series52.0ms (1.6%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

42.0ms

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

Compiler

Compiled 163 to 139 computations (14.7% saved)

simplify76.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4836	321
1	4836	321

prune23.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 261 to 142 computations (45.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(sinh.f64 x)

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1×	`sinh-def_binary64_3332` `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 → 8

Calls

1 calls:

1.0ms

(sinh.f64 x)

Compiler

Compiled 83 to 56 computations (32.5% saved)

series78.0ms (2.5%)

Error

Counts

1 → 6

Calls

1 calls:

68.0ms

(sinh.f64 x)

Compiler

Compiled 187 to 163 computations (12.8% saved)

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5433	137

prune19.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Error

Counts

16 → 2

Compiler

Compiled 164 to 123 computations (25% saved)

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 5)))
0.1b	(*.f64 1/120 (pow.f64 x 5))
0.1b	(*.f64 1/6 (pow.f64 x 3))

rewrite155.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

22×	`add-sqr-sqrt_binary64_3169`
19×	`associate-r_binary64_3087`
13×	`add-exp-log_binary64_3185`
10×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
8×	`unpow-prod-down_binary64_3226`
7×	`add-cbrt-cube_binary64_3183` `unswap-sqr_binary64_3115`
6×	`prod-exp_binary64_3196` `associate-l_binary64_3088`
5×	`add-log-exp_binary64_3186`
4×	`cube-prod_binary64_3175` `sqr-pow_binary64_3119`
3×	`pow1_binary64_3208`
2×	`pow-to-exp_binary64_3216` `pow-exp_binary64_3215` `cbrt-unprod_binary64_3180` `*-commutative_binary64_3078`
1×	`unpow3_binary64_3213` `cube-mult_binary64_3177` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077`

Counts

3 → 67

Calls

3 calls:

7.0ms	(*.f64 1/6 (pow.f64 x 3))
6.0ms	(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 5)))
5.0ms	(*.f64 1/120 (pow.f64 x 5))

Compiler

Compiled 1452 to 1203 computations (17.1% saved)

series284.0ms (8.9%)

Error

Counts

3 → 12

Calls

3 calls:

167.0ms	(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 5)))
61.0ms	(*.f64 1/120 (pow.f64 x 5))
49.0ms	(*.f64 1/6 (pow.f64 x 3))

Compiler

Compiled 378 to 333 computations (11.9% saved)

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5319	897

prune111.0ms (3.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	79	2	81

Error

Counts

81 → 2

Compiler

Compiled 1156 to 948 computations (18% saved)

regimes110.0ms (3.5%)

Accuracy

Total 0.0b remaining (68.9%)

Threshold costs 0.0b (68.9%)

Compiler

Compiled 800 to 703 computations (12.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	9
1	10	9

end1.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

sample1.8s (55.9%)

Algorithm

1×

intervals

Results

987.0ms	3949×	body	1024	valid
268.0ms	2022×	body	512	valid
113.0ms	407×	body	2048	valid
78.0ms	993×	body	256	valid
28.0ms	629×	body	128	valid

Compiler

Compiled 41 to 42 computations (-2.4% saved)

Details

analyze201.0ms (6.3%)

sample58.0ms (1.8%)

simplify57.0ms (1.8%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite24.0ms (0.7%)

series52.0ms (1.6%)

simplify76.0ms (2.4%)

prune23.0ms (0.7%)

localize4.0ms (0.1%)

rewrite12.0ms (0.4%)

series78.0ms (2.5%)

simplify56.0ms (1.8%)

prune19.0ms (0.6%)

localize13.0ms (0.4%)

rewrite155.0ms (4.9%)

series284.0ms (8.9%)

simplify56.0ms (1.8%)

prune111.0ms (3.5%)

regimes110.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end1.0ms (0%)

sample1.8s (55.9%)

Profiling