Details

analyze417.0ms (13.4%)

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

Symmetry

(sort d2 d3)

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample23.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	19×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

prune3.0ms (0.1%)

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

0.0b

Counts

2 → 2

Compiler

Compiled 17 to 16 computations (5.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_3868`
1×	`sum-log_binary64_3920` `pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `flip3-+_binary64_3832` `*-un-lft-identity_binary64_3829` `flip-+_binary64_3803` `distribute-lft-out_binary64_3780` `+-commutative_binary64_3759`

Counts

1 → 12

Calls

1 calls:

4.0ms

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

Compiler

Compiled 183 to 43 computations (76.5% saved)

series102.0ms (3.3%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

95.0ms

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

Compiler

Compiled 207 to 134 computations (35.3% saved)

simplify76.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5248	233

prune15.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Error

0.0b

Counts

29 → 2

Compiler

Compiled 202 to 47 computations (76.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite21.0ms (0.7%)

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:

6.0ms

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

Compiler

Compiled 249 to 80 computations (67.9% saved)

series89.0ms (2.9%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

84.0ms

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

Compiler

Compiled 207 to 134 computations (35.3% saved)

simplify99.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4890	305
1	4890	305

prune20.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	35	5	40

Error

Counts

40 → 5

Compiler

Compiled 325 to 94 computations (71.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (+.f64 d3 d2)) (cbrt.f64 (+.f64 d3 d2)))
0.5b	(cbrt.f64 (+.f64 d2 d3))
0.5b	(cbrt.f64 (+.f64 d3 d2))
0.5b	(cbrt.f64 (+.f64 d3 d2))

rewrite108.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64_3860`
35×	`*-un-lft-identity_binary64_3829`
23×	`add-sqr-sqrt_binary64_3851`
18×	`cbrt-div_binary64_3861`
15×	`add-cube-cbrt_binary64_3864`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911` `flip3-+_binary64_3832` `flip-+_binary64_3803` `distribute-lft-out_binary64_3780` `swap-sqr_binary64_3796`
7×	`associate-l_binary64_3770` `associate-r_binary64_3769`
6×	`add-exp-log_binary64_3867`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `frac-times_binary64_3839` `unswap-sqr_binary64_3797`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802` `associate-l/_binary64_3772` `associate-r/_binary64_3771`
1×	`pow2_binary64_3910` `pow-plus_binary64_3892` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `*-commutative_binary64_3760`

Counts

4 → 95

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 d3 d2)) (cbrt.f64 (+.f64 d3 d2)))
6.0ms	(cbrt.f64 (+.f64 d3 d2))
3.0ms	(cbrt.f64 (+.f64 d3 d2))
3.0ms	(cbrt.f64 (+.f64 d2 d3))

Compiler

Compiled 2263 to 490 computations (78.3% saved)

series471.0ms (15.1%)

Error

Counts

4 → 45

Calls

4 calls:

142.0ms	(*.f64 (cbrt.f64 (+.f64 d3 d2)) (cbrt.f64 (+.f64 d3 d2)))
97.0ms	(cbrt.f64 (+.f64 d2 d3))
94.0ms	(cbrt.f64 (+.f64 d3 d2))
92.0ms	(cbrt.f64 (+.f64 d3 d2))

Compiler

Compiled 3048 to 2234 computations (26.7% saved)

simplify78.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4919	1953
1	4919	1953

prune108.0ms (3.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	140	5	145

Error

Counts

145 → 5

Compiler

Compiled 2916 to 816 computations (72% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

2.8b	(-.f64 (.f64 d2 d2) (.f64 d3 d3))
11.3b	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
18.4b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))

rewrite72.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_3851`
11×	`*-un-lft-identity_binary64_3829`
10×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
7×	`add-cube-cbrt_binary64_3864`
5×	`pow1_binary64_3890` `add-log-exp_binary64_3868` `times-frac_binary64_3835` `associate-/r*_binary64_3773`
4×	`difference-of-squares_binary64_3798` `flip3--_binary64_3833` `associate-r/_binary64_3771` `flip--_binary64_3804` `associate-r*_binary64_3769`
3×	`sub-neg_binary64_3822` `cancel-sign-sub-inv_binary64_3795` `associate-l_binary64_3770`
2×	`prod-exp_binary64_3878` `div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `cbrt-unprod_binary64_3862` `distribute-lft-out--_binary64_3781` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778`
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` `-commutative_binary64_3760` `diff-log_binary64_3921`

Counts

3 → 67

Calls

3 calls:

10.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
7.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
4.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

Compiler

Compiled 1459 to 261 computations (82.1% saved)

series554.0ms (17.7%)

Error

Counts

3 → 42

Calls

3 calls:

248.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
188.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
96.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

Compiler

Compiled 1140 to 811 computations (28.9% saved)

simplify64.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5043	1410

prune59.0ms (1.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	109	5	114

Error

Counts

114 → 5

Compiler

Compiled 1554 to 299 computations (80.8% saved)

regimes69.0ms (2.2%)

Accuracy

Total 0.0b remaining (83.5%)

Threshold costs 0.0b (83.5%)

Compiler

Compiled 396 to 314 computations (20.7% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

Remove

(sort d2 d3)

Compiler

Compiled 14 to 12 computations (14.3% saved)

end0.0ms (0%)

sample613.0ms (19.7%)

Algorithm

1×

intervals

Results

185.0ms	8000×	body	128	valid
14.0ms	674×	body	128	invalid

Compiler

Compiled 114 to 92 computations (19.3% saved)

Details

analyze417.0ms (13.4%)

sample23.0ms (0.7%)

simplify8.0ms (0.3%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite16.0ms (0.5%)

series102.0ms (3.3%)

simplify76.0ms (2.4%)

prune15.0ms (0.5%)

localize4.0ms (0.1%)

rewrite21.0ms (0.7%)

series89.0ms (2.9%)

simplify99.0ms (3.2%)

prune20.0ms (0.6%)

localize10.0ms (0.3%)

rewrite108.0ms (3.5%)

series471.0ms (15.1%)

simplify78.0ms (2.5%)

prune108.0ms (3.4%)

localize8.0ms (0.3%)

rewrite72.0ms (2.3%)

series554.0ms (17.7%)

simplify64.0ms (2.1%)

prune59.0ms (1.9%)

regimes69.0ms (2.2%)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

end0.0ms (0%)

sample613.0ms (19.7%)

Profiling