Details

analyze312.0ms (22.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	28
1	28	28
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.2%	3.3%	9
46.8%	46%	7.2%	10
58.5%	32.8%	8.7%	11
60.8%	27.9%	11.3%	12
63.8%	22.4%	13.8%	13
69.1%	16.5%	14.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (1.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	31×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

prune3.0ms (0.2%)

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

0.0b

Counts

2 → 2

Compiler

Compiled 17 to 16 computations (5.9% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3186`
1×	`*-un-lft-identity_binary64_3147` `add-exp-log_binary64_3185` `flip-+_binary64_3121` `add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150` `add-sqr-sqrt_binary64_3169` `distribute-lft-out_binary64_3098` `pow1_binary64_3208` `+-commutative_binary64_3077` `add-cube-cbrt_binary64_3182` `sum-log_binary64_3238`

Counts

1 → 12

Calls

1 calls:

4.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

series28.0ms (2%)

Counts

1 → 3

Calls

1 calls:

28.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

simplify71.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5136	167

prune9.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Error

0.0b

Counts

17 → 3

Compiler

Compiled 162 to 56 computations (65.4% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 d3))

rewrite7.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169`
4×	`associate-r_binary64_3087`
3×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208` `add-cube-cbrt_binary64_3182` `associate-l_binary64_3088`
2×	`associate-*r/_binary64_3089`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `flip-+_binary64_3121` `pow-prod-down_binary64_3218` `flip3-+_binary64_3150` `distribute-lft-out_binary64_3098` `prod-exp_binary64_3196` `distribute-lft-in_binary64_3096` `cbrt-unprod_binary64_3180` `add-log-exp_binary64_3186` `distribute-rgt-in_binary64_3097`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 d3))

series25.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

25.0ms

(*.f64 d1 (+.f64 d2 d3))

simplify97.0ms (7%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4890	239
1	4890	239

prune13.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Error

0.0b

Counts

29 → 3

Compiler

Compiled 247 to 72 computations (70.9% saved)

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 d3))
0.3b	(pow.f64 (*.f64 d1 (+.f64 d2 d3)) 3)
33.9b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 d3)) 3))

rewrite18.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169`
8×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208` `cbrt-prod_binary64_3178`
7×	`add-cube-cbrt_binary64_3182`
6×	`associate-*r/_binary64_3089`
4×	`associate-r_binary64_3087` `cube-div_binary64_3176`
3×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `pow-unpow_binary64_3224` `add-log-exp_binary64_3186` `associate-l_binary64_3088`
2×	`unpow-prod-down_binary64_3226` `cbrt-div_binary64_3179` `pow-exp_binary64_3215` `pow-prod-down_binary64_3218` `rem-cube-cbrt_binary64_3170` `cube-prod_binary64_3175` `sqr-pow_binary64_3119` `prod-exp_binary64_3196` `cube-mult_binary64_3177` `cbrt-unprod_binary64_3180` `pow-pow_binary64_3219` `unpow3_binary64_3213`
1×	`rem-cbrt-cube_binary64_3171` `*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `pow1/3_binary64_3229` `pow-to-exp_binary64_3216` `distribute-lft-out_binary64_3098` `distribute-lft-in_binary64_3096` `distribute-rgt-in_binary64_3097`

Counts

3 → 66

Calls

3 calls:

6.0ms	(*.f64 d1 (+.f64 d2 d3))
6.0ms	(pow.f64 (*.f64 d1 (+.f64 d2 d3)) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 d3)) 3))

series101.0ms (7.3%)

Counts

3 → 9

Calls

3 calls:

48.0ms	(pow.f64 (*.f64 d1 (+.f64 d2 d3)) 3)
27.0ms	(*.f64 d1 (+.f64 d2 d3))
26.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 d3)) 3))

simplify48.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5112	827

prune45.0ms (3.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	75	3	78

Error

0.0b

Counts

78 → 3

Compiler

Compiled 892 to 343 computations (61.5% saved)

regimes42.0ms (3%)

Accuracy

Total 0.0b remaining (74.3%)

Threshold costs 0.0b (74.3%)

Compiler

Compiled 108 to 126 computations (-16.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

Compiler

Compiled 14 to 12 computations (14.3% saved)

end0.0ms (0%)

sample523.0ms (37.6%)

Algorithm

1×

intervals

Results

198.0ms	8000×	body	128	valid
20.0ms	725×	body	128	invalid

Compiler

Compiled 42 to 45 computations (-7.1% saved)

Details

analyze312.0ms (22.5%)

sample18.0ms (1.3%)

simplify7.0ms (0.5%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

rewrite5.0ms (0.3%)

series28.0ms (2%)

simplify71.0ms (5.1%)

prune9.0ms (0.7%)

localize4.0ms (0.3%)

rewrite7.0ms (0.5%)

series25.0ms (1.8%)

simplify97.0ms (7%)

prune13.0ms (0.9%)

localize6.0ms (0.5%)

rewrite18.0ms (1.3%)

series101.0ms (7.3%)

simplify48.0ms (3.5%)

prune45.0ms (3.2%)

regimes42.0ms (3%)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

end0.0ms (0%)

sample523.0ms (37.6%)

Profiling