Details

analyze215.0ms (6.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	14
1	76	14
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	253×	body	128	valid
0.0ms	3×	body	1024	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 30))

rewrite37.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
4×	`associate-r_binary64_3769`
3×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `associate-l_binary64_3770`
2×	`associate-*r/_binary64_3771`
1×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `add-log-exp_binary64_3868` `cbrt-unprod_binary64_3862` `unswap-sqr_binary64_3797` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `flip3-+_binary64_3832` `flip-+_binary64_3803` `distribute-lft-out_binary64_3780` `*-commutative_binary64_3760`

Counts

1 → 23

Calls

1 calls:

12.0ms

(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 249 to 170 computations (31.7% saved)

series78.0ms (2.4%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

67.0ms

(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 126 to 99 computations (21.4% saved)

simplify82.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5135	266

prune30.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Error

Counts

33 → 3

Compiler

Compiled 289 to 194 computations (32.9% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d2 30))
0.0b	(sqrt.f64 (+.f64 d2 30))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

rewrite158.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`*-un-lft-identity_binary64_3829`
18×	`sqrt-div_binary64_3846`
17×	`add-sqr-sqrt_binary64_3851` `sqrt-prod_binary64_3845`
14×	`associate-r_binary64_3769`
13×	`pow1_binary64_3890`
11×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864`
10×	`associate-*r/_binary64_3771`
9×	`flip3-+_binary64_3832` `flip-+_binary64_3803`
4×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `add-log-exp_binary64_3868` `cbrt-unprod_binary64_3862` `frac-times_binary64_3839` `associate-l_binary64_3770` `distribute-lft-out_binary64_3780`
2×	`associate-l/_binary64_3772` `-commutative_binary64_3760` `unswap-sqr_binary64_3797` `pow1/2_binary64_3909` `sqrt-pow1_binary64_3847` `rem-sqrt-square_binary64_3842`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
8.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
6.0ms	(sqrt.f64 (+.f64 d2 30))
5.0ms	(sqrt.f64 (+.f64 d2 30))

Compiler

Compiled 1662 to 1255 computations (24.5% saved)

series243.0ms (7.6%)

Error

Counts

4 → 30

Calls

4 calls:

89.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
67.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
34.0ms	(sqrt.f64 (+.f64 d2 30))
26.0ms	(sqrt.f64 (+.f64 d2 30))

Compiler

Compiled 1013 to 846 computations (16.5% saved)

simplify72.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4943	1388
1	4943	1388

prune111.0ms (3.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Error

Counts

120 → 3

Compiler

Compiled 1709 to 1274 computations (25.5% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 30 30) (.f64 d2 30))
0.0b	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
3.3b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
15.8b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))

rewrite174.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-exp-log_binary64_3867` `add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865`
10×	`add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
8×	`add-cube-cbrt_binary64_3864`
6×	`pow1_binary64_3890`
4×	`flip3-+_binary64_3832` `associate-r/_binary64_3771` `flip-+_binary64_3803` `associate-r*_binary64_3769`
3×	`times-frac_binary64_3835` `associate-/r_binary64_3773` `associate-l*_binary64_3770`
2×	`prod-exp_binary64_3878` `div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `cbrt-unprod_binary64_3862` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `diff-log_binary64_3921` `sum-log_binary64_3920` `sub-neg_binary64_3822` `associate-+r+_binary64_3761` `cancel-sign-sub-inv_binary64_3795`
1×	`frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `associate-/l_binary64_3774` `pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `distribute-lft-out_binary64_3780` `-commutative_binary64_3760` `associate-+r-_binary64_3763` `+-commutative_binary64_3759` `flip3--_binary64_3833` `flip--_binary64_3804` `distribute-rgt-out--_binary64_3783`

Counts

4 → 76

Calls

4 calls:

18.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
10.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
9.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
7.0ms	(-.f64 (.f64 30 30) (.f64 d2 30))

Compiler

Compiled 2251 to 1603 computations (28.8% saved)

series553.0ms (17.3%)

Error

Counts

4 → 33

Calls

4 calls:

268.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
148.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
63.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
31.0ms	(-.f64 (.f64 30 30) (.f64 d2 30))

Compiler

Compiled 1232 to 971 computations (21.2% saved)

simplify87.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4922	1557
1	4922	1557

prune318.0ms (10%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	109	3	112

Error

Counts

112 → 3

Compiler

Compiled 2237 to 1602 computations (28.4% saved)

regimes95.0ms (3%)

Accuracy

Total 0.0b remaining (90.8%)

Threshold costs 0.0b (90.8%)

Compiler

Compiled 575 to 497 computations (13.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample873.0ms (27.4%)

Algorithm

1×

intervals

Results

285.0ms	7846×	body	128	valid
14.0ms	87×	body	1024	valid
4.0ms	43×	body	512	valid
3.0ms	86×	body	128	invalid
1.0ms	24×	body	256	valid

Compiler

Compiled 205 to 179 computations (12.7% saved)

Details

analyze215.0ms (6.7%)

sample20.0ms (0.6%)

simplify8.0ms (0.2%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite37.0ms (1.2%)

series78.0ms (2.4%)

simplify82.0ms (2.6%)

prune30.0ms (0.9%)

localize10.0ms (0.3%)

rewrite158.0ms (5%)

series243.0ms (7.6%)

simplify72.0ms (2.3%)

prune111.0ms (3.5%)

localize15.0ms (0.5%)

rewrite174.0ms (5.4%)

series553.0ms (17.3%)

simplify87.0ms (2.7%)

prune318.0ms (10%)

regimes95.0ms (3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample873.0ms (27.4%)

Profiling