Details

analyze1.2s (12.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
2.0ms	59×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify242.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	1064	13
1	1064	13

prune8.0ms (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 33 to 27 computations (18.2% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_3829`
6×	`associate-r_binary64_3769`
5×	`add-sqr-sqrt_binary64_3851`
3×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `distribute-lft-out--_binary64_3781` `distribute-lft-out_binary64_3780` `associate-l_binary64_3770`
2×	`associate-*r/_binary64_3771`
1×	`flip3-+_binary64_3832` `add-log-exp_binary64_3868` `pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `flip-+_binary64_3803` `prod-exp_binary64_3878` `distribute-rgt-in_binary64_3779` `*-commutative_binary64_3760` `distribute-lft-in_binary64_3778` `cbrt-unprod_binary64_3862`

Counts

1 → 25

Calls

2 calls:

12.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
0.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

series253.0ms (2.6%)

Counts

1 → 24

Calls

1 calls:

253.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

Compiler

Compiled 420 to 366 computations (12.9% saved)

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4967	600
1	4967	600

prune55.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Error

0.0b

Counts

51 → 5

Compiler

Compiled 609 to 120 computations (80.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 (-.f64 d2 d3) d1)))
0.0b	(*.f64 d1 (-.f64 (-.f64 d2 d3) d1))
0.0b	(*.f64 d1 (-.f64 (-.f64 d2 d3) d1))
0.0b	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 (-.f64 d2 d3) d1)))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cancel-sign-sub-inv_binary64_3795`
17×	`*-un-lft-identity_binary64_3829`
16×	`associate-+r+_binary64_3761` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `add-sqr-sqrt_binary64_3851` `associate--l+_binary64_3766`
12×	`add-cube-cbrt_binary64_3864`
8×	`sub-neg_binary64_3822`
6×	`associate-r_binary64_3769`
4×	`add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890`
3×	`distribute-lft-out--_binary64_3781` `associate-l_binary64_3770`
2×	`associate-*r/_binary64_3771`
1×	`flip3-+_binary64_3832` `pow-prod-down_binary64_3900` `flip--_binary64_3804` `unswap-sqr_binary64_3797` `sum-log_binary64_3920` `flip-+_binary64_3803` `prod-exp_binary64_3878` `flip3--_binary64_3833` `difference-of-squares_binary64_3798` `distribute-lft-out_binary64_3780` `+-commutative_binary64_3759` `*-commutative_binary64_3760` `cbrt-unprod_binary64_3862`

Counts

2 → 67

Calls

4 calls:

11.0ms	(*.f64 d1 (-.f64 (-.f64 d2 d3) d1))
8.0ms	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 (-.f64 d2 d3) d1)))
0.0ms	(*.f64 d1 (-.f64 (-.f64 d2 d3) d1))
0.0ms	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 (-.f64 d2 d3) d1)))

series565.0ms (5.9%)

Counts

2 → 42

Calls

2 calls:

386.0ms	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 (-.f64 d2 d3) d1)))
179.0ms	(*.f64 d1 (-.f64 (-.f64 d2 d3) d1))

Compiler

Compiled 781 to 669 computations (14.3% saved)

simplify119.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5143	1253

prune96.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

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

Error

0.0b

Counts

114 → 5

Compiler

Compiled 1461 to 247 computations (83.1% saved)

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
0.0b	(sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
0.0b	(sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
0.0b	(sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
0.0b	(sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))

rewrite83.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`*-un-lft-identity_binary64_3829`
25×	`sqrt-prod_binary64_3845`
18×	`sqrt-div_binary64_3846` `associate-r_binary64_3769`
17×	`add-sqr-sqrt_binary64_3851`
13×	`pow1_binary64_3890`
12×	`distribute-lft-out--_binary64_3781` `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×	`add-log-exp_binary64_3868` `pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `frac-times_binary64_3839` `cbrt-unprod_binary64_3862` `associate-l_binary64_3770`
2×	`unswap-sqr_binary64_3797` `rem-sqrt-square_binary64_3842` `associate-l/_binary64_3772` `pow1/2_binary64_3909` `-commutative_binary64_3760` `sqrt-pow1_binary64_3847`

Counts

4 → 95

Calls

8 calls:

27.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
19.0ms	(sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
15.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
12.0ms	(sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
0.0ms	(sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

series1.0s (10.8%)

Counts

4 → 81

Calls

4 calls:

297.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
294.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
245.0ms	(sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
197.0ms	(sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

Compiler

Compiled 3150 to 2267 computations (28% saved)

simplify94.0ms (1%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4980	3274
1	4980	3274

prune202.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	175	6	181

Error

Counts

181 → 6

Compiler

Compiled 3965 to 659 computations (83.4% saved)

localize19.0ms (0.2%)

Local error

Found 6 expressions with local error:

34.0b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))) 3))
0.3b	(pow.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))) 3)
0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
0.3b	(pow.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))) 3)
34.0b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))) 3))

rewrite57.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_3829`
9×	`add-sqr-sqrt_binary64_3851`
8×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890` `cbrt-prod_binary64_3860`
7×	`add-cube-cbrt_binary64_3864`
6×	`associate-r/_binary64_3771` `associate-r*_binary64_3769`
4×	`cube-div_binary64_3858`
3×	`flip3-+_binary64_3832` `add-log-exp_binary64_3868` `flip-+_binary64_3803` `distribute-lft-out--_binary64_3781` `distribute-lft-out_binary64_3780` `pow-unpow_binary64_3906` `associate-l_binary64_3770`
2×	`pow-prod-down_binary64_3900` `cube-mult_binary64_3859` `unpow3_binary64_3895` `pow-exp_binary64_3897` `prod-exp_binary64_3878` `pow-pow_binary64_3901` `cube-prod_binary64_3857` `rem-cube-cbrt_binary64_3852` `sqr-pow_binary64_3801` `unpow-prod-down_binary64_3908` `cbrt-div_binary64_3861` `cbrt-unprod_binary64_3862`
1×	`unswap-sqr_binary64_3797` `rem-cbrt-cube_binary64_3853` `distribute-rgt-in_binary64_3779` `pow1/3_binary64_3911` `*-commutative_binary64_3760` `distribute-lft-in_binary64_3778` `pow-to-exp_binary64_3898`

Counts

3 → 68

Calls

6 calls:

22.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
22.0ms	(pow.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))) 3)
5.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))) 3))
0.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
0.0ms	(pow.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))) 3)

series1.7s (17.9%)

Counts

3 → 96

Calls

3 calls:

1.2s	(pow.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))) 3)
259.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))) 3))
248.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

Compiler

Compiled 6307 to 4981 computations (21% saved)

simplify157.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5047	8714

prune463.0ms (4.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	164	6	170

Error

Counts

170 → 6

Compiler

Compiled 6413 to 3130 computations (51.2% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	130	331
1	130	331

regimes197.0ms (2.1%)

Accuracy

Total 0.0b remaining (75.6%)

Threshold costs 0.0b (75.6%)

Compiler

Compiled 912 to 764 computations (16.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	16
1	31	16

end0.0ms (0%)

sample2.7s (28.6%)

Algorithm

1×

intervals

Results

497.0ms	8000×	body	128	valid
142.0ms	2335×	body	128	invalid

Compiler

Compiled 703 to 573 computations (18.5% saved)

Pareto

-0.06550829026959043

Details

analyze1.2s (12.9%)

sample26.0ms (0.3%)

simplify242.0ms (2.5%)

prune8.0ms (0.1%)

localize10.0ms (0.1%)

rewrite14.0ms (0.1%)

series253.0ms (2.6%)

simplify105.0ms (1.1%)

prune55.0ms (0.6%)

localize18.0ms (0.2%)

rewrite25.0ms (0.3%)

series565.0ms (5.9%)

simplify119.0ms (1.2%)

prune96.0ms (1%)

localize17.0ms (0.2%)

rewrite83.0ms (0.9%)

series1.0s (10.8%)

simplify94.0ms (1%)

prune202.0ms (2.1%)

localize19.0ms (0.2%)

rewrite57.0ms (0.6%)

series1.7s (17.9%)

simplify157.0ms (1.6%)

prune463.0ms (4.8%)

simplify12.0ms (0.1%)

regimes197.0ms (2.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.7s (28.6%)

Profiling