Details

analyze579.0ms (9.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	40
1	107	40
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%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Symmetry

(sort d2 d3)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	240×	body	128	valid
1.0ms	28×	body	128	invalid
1.0ms	7×	body	512	valid
0.0ms	4×	body	1024	valid
0.0ms	5×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune6.0ms (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

0.1b

Counts

2 → 2

Compiler

Compiled 25 to 23 computations (8% saved)

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 d1 3) (.f64 d1 d2))
0.0b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_3868`
4×	`sum-log_binary64_3920`
3×	`distribute-lft-out_binary64_3780`
2×	`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` `+-commutative_binary64_3759`
1×	`associate-+l+_binary64_3762`

Counts

2 → 26

Calls

2 calls:

10.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
4.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

Compiler

Compiled 526 to 241 computations (54.2% saved)

series254.0ms (4.2%)

Error

0.1b

Counts

2 → 24

Calls

2 calls:

170.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
71.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

Compiler

Compiled 535 to 370 computations (30.8% saved)

simplify75.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4955	530
1	4955	530

prune42.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	47	5	52

Error

0.0b

Counts

52 → 5

Compiler

Compiled 603 to 343 computations (43.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`*-un-lft-identity_binary64_3829`
5×	`add-sqr-sqrt_binary64_3851` `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` `distribute-lft-out_binary64_3780`
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` `*-commutative_binary64_3760`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 336 to 177 computations (47.3% saved)

series120.0ms (2%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

114.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 305 to 220 computations (27.9% saved)

simplify108.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5415	405

prune35.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	39	5	44

Error

0.0b

Counts

44 → 5

Compiler

Compiled 458 to 276 computations (39.7% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d3 (+.f64 d2 3)))
0.0b	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 3))))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))

rewrite181.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`*-un-lft-identity_binary64_3829`
21×	`sqrt-prod_binary64_3845`
18×	`sqrt-div_binary64_3846`
17×	`add-sqr-sqrt_binary64_3851`
16×	`associate-r_binary64_3769`
13×	`pow1_binary64_3890`
12×	`distribute-lft-out_binary64_3780`
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`
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 → 91

Calls

4 calls:

32.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
9.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 3))))
6.0ms	(sqrt.f64 (+.f64 d3 (+.f64 d2 3)))
5.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 2282 to 1450 computations (36.5% saved)

series505.0ms (8.3%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

153.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 3))))
141.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
79.0ms	(sqrt.f64 (+.f64 d3 (+.f64 d2 3)))
77.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 2648 to 2062 computations (22.1% saved)

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5023	2610

prune205.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	145	5	150

Error

0.0b

Counts

150 → 5

Compiler

Compiled 2993 to 1978 computations (33.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 9 (*.f64 (+.f64 d3 d2) (+.f64 d3 d2)))
0.0b	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))
9.7b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))
15.5b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))

rewrite182.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`*-un-lft-identity_binary64_3829`
22×	`add-sqr-sqrt_binary64_3851`
13×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
12×	`add-cube-cbrt_binary64_3864`
8×	`distribute-lft-out_binary64_3780` `associate-r_binary64_3769`
7×	`associate-l_binary64_3770`
6×	`add-log-exp_binary64_3868` `times-frac_binary64_3835` `associate-r/_binary64_3771` `associate-/r_binary64_3773` `flip3-+_binary64_3832` `flip-+_binary64_3803` `swap-sqr_binary64_3796`
4×	`difference-of-squares_binary64_3798` `distribute-lft-out--_binary64_3781` `flip3--_binary64_3833` `flip--_binary64_3804` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `frac-times_binary64_3839`
3×	`prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `sub-neg_binary64_3822` `cancel-sign-sub-inv_binary64_3795`
2×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `-commutative_binary64_3760` `associate-l/_binary64_3772` `associate--r+_binary64_3765`
1×	`frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `associate-/l*_binary64_3774` `pow2_binary64_3910` `pow-prod-up_binary64_3899` `pow-plus_binary64_3892` `pow-sqr_binary64_3802` `diff-log_binary64_3921`

Counts

4 → 111

Calls

4 calls:

11.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
9.0ms	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))
6.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))
3.0ms	(-.f64 9 (*.f64 (+.f64 d3 d2) (+.f64 d3 d2)))

Compiler

Compiled 2949 to 1150 computations (61% saved)

series1.2s (19.1%)

Error

Counts

4 → 72

Calls

4 calls:

422.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
367.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))
189.0ms	(-.f64 9 (*.f64 (+.f64 d3 d2) (+.f64 d3 d2)))
107.0ms	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))

Compiler

Compiled 3574 to 2608 computations (27% saved)

simplify132.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4958	2997
1	4958	2997

prune179.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	2	0	2
Picked	0	1	1
Done	1	1	2
Total	185	3	188

Error

Counts

188 → 3

Compiler

Compiled 3654 to 1812 computations (50.4% saved)

regimes414.0ms (6.8%)

Accuracy

Total 0.1b remaining (99.5%)

Threshold costs 0.1b (99.5%)

Compiler

Compiled 3596 to 2704 computations (24.8% saved)

bsearch0.0ms (0%)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

Remove

(sort d2 d3)

Compiler

Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0%)

sample1.6s (27.1%)

Algorithm

1×

intervals

Results

278.0ms	7539×	body	128	valid
23.0ms	673×	body	128	invalid
22.0ms	177×	body	512	valid
19.0ms	157×	body	1024	valid
8.0ms	127×	body	256	valid

Compiler

Compiled 922 to 696 computations (24.5% saved)

Details

analyze579.0ms (9.5%)

sample26.0ms (0.4%)

simplify9.0ms (0.2%)

prune6.0ms (0.1%)

localize19.0ms (0.3%)

rewrite41.0ms (0.7%)

series254.0ms (4.2%)

simplify75.0ms (1.2%)

prune42.0ms (0.7%)

localize5.0ms (0.1%)

rewrite35.0ms (0.6%)

series120.0ms (2%)

simplify108.0ms (1.8%)

prune35.0ms (0.6%)

localize21.0ms (0.3%)

rewrite181.0ms (3%)

series505.0ms (8.3%)

simplify73.0ms (1.2%)

prune205.0ms (3.4%)

localize10.0ms (0.2%)

rewrite182.0ms (3%)

series1.2s (19.1%)

simplify132.0ms (2.2%)

prune179.0ms (2.9%)

regimes414.0ms (6.8%)

bsearch0.0ms (0%)

simplify16.0ms (0.3%)

end0.0ms (0%)

sample1.6s (27.1%)

Profiling