Details

analyze720.0ms (10.4%)

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)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	67×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify186.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	1064	13
1	1064	13

prune4.0ms (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)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite63.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`*-un-lft-identity_binary64_3829`
11×	`add-log-exp_binary64_3868`
8×	`add-sqr-sqrt_binary64_3851` `associate-+r+_binary64_3761`
6×	`add-cube-cbrt_binary64_3864` `associate-r_binary64_3769` `distribute-lft-out_binary64_3780` `distribute-lft-out--_binary64_3781` `cancel-sign-sub-inv_binary64_3795`
4×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `associate--l+_binary64_3766`
3×	`associate-l_binary64_3770` `diff-log_binary64_3921` `sum-log_binary64_3920`
2×	`flip3-+_binary64_3832` `associate-*r/_binary64_3771` `flip-+_binary64_3803` `sub-neg_binary64_3822`
1×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `unswap-sqr_binary64_3797` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `*-commutative_binary64_3760` `associate-+r-_binary64_3763` `+-commutative_binary64_3759`

Counts

2 → 50

Calls

2 calls:

12.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
10.0ms	(+.f64 d4 (-.f64 (-.f64 d2 d3) d1))

Compiler

Compiled 802 to 187 computations (76.7% saved)

series321.0ms (4.6%)

Error

0.0b

Counts

2 → 48

Calls

2 calls:

188.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
106.0ms	(+.f64 d4 (-.f64 (-.f64 d2 d3) d1))

Compiler

Compiled 1104 to 736 computations (33.3% saved)

simplify103.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4961	1053
1	4961	1053

prune61.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	96	4	100

Error

Counts

100 → 4

Compiler

Compiled 1097 to 205 computations (81.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite58.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 55

Calls

2 calls:

10.0ms	(*.f64 d1 (-.f64 d2 (+.f64 d1 d3)))
8.0ms	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 d2 (+.f64 d1 d3))))

Compiler

Compiled 1062 to 224 computations (78.9% saved)

series447.0ms (6.4%)

Error

Counts

2 → 42

Calls

2 calls:

275.0ms	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 d2 (+.f64 d1 d3))))
144.0ms	(*.f64 d1 (-.f64 d2 (+.f64 d1 d3)))

Compiler

Compiled 1247 to 824 computations (33.9% saved)

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4927	1108
1	4927	1108

prune60.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Error

Counts

101 → 4

Compiler

Compiled 1266 to 227 computations (82.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite77.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`associate-l_binary64_3770`
15×	`*-un-lft-identity_binary64_3829`
13×	`add-sqr-sqrt_binary64_3851`
12×	`associate-*l/_binary64_3772`
9×	`add-cube-cbrt_binary64_3864`
7×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `flip3-+_binary64_3832` `flip-+_binary64_3803`
6×	`distribute-neg-frac_binary64_3793` `associate-r_binary64_3769`
5×	`add-log-exp_binary64_3868`
4×	`frac-add_binary64_3837` `distribute-rgt-neg-in_binary64_3787` `distribute-lft-neg-in_binary64_3786`
3×	`distribute-lft-out_binary64_3780`
2×	`distribute-lft-neg-out_binary64_3788` `pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `unswap-sqr_binary64_3797` `*-commutative_binary64_3760`
1×	`sum-log_binary64_3920` `unsub-neg_binary64_3823` `distribute-rgt-out_binary64_3782` `+-commutative_binary64_3759` `neg-mul-1_binary64_3825`

Counts

3 → 68

Calls

3 calls:

8.0ms	(+.f64 (.f64 (+.f64 d4 d2) d1) (.f64 (neg.f64 (+.f64 d1 d3)) d1))
7.0ms	(*.f64 (neg.f64 (+.f64 d1 d3)) d1)
6.0ms	(*.f64 (+.f64 d4 d2) d1)

Compiler

Compiled 1436 to 298 computations (79.2% saved)

series478.0ms (6.9%)

Error

Counts

3 → 51

Calls

3 calls:

257.0ms	(+.f64 (.f64 (+.f64 d4 d2) d1) (.f64 (neg.f64 (+.f64 d1 d3)) d1))
99.0ms	(*.f64 (+.f64 d4 d2) d1)
94.0ms	(*.f64 (neg.f64 (+.f64 d1 d3)) d1)

Compiler

Compiled 1548 to 975 computations (37% saved)

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5006	1458

prune72.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	119	4	123

Error

Counts

123 → 4

Compiler

Compiled 1758 to 328 computations (81.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))
0.0b	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
0.3b	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3)
37.1b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3))

rewrite121.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`*-un-lft-identity_binary64_3829`
13×	`add-log-exp_binary64_3868`
11×	`add-sqr-sqrt_binary64_3851`
9×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `distribute-lft-out_binary64_3780`
8×	`cbrt-prod_binary64_3860`
6×	`associate-r/_binary64_3771` `associate-r*_binary64_3769`
5×	`associate-+r+_binary64_3761`
4×	`flip3-+_binary64_3832` `cube-div_binary64_3858` `flip-+_binary64_3803` `distribute-lft-out--_binary64_3781` `sum-log_binary64_3920` `cancel-sign-sub-inv_binary64_3795`
3×	`pow-unpow_binary64_3906` `associate-l_binary64_3770`
2×	`cbrt-div_binary64_3861` `unpow-prod-down_binary64_3908` `unpow3_binary64_3895` `cube-mult_binary64_3859` `cube-prod_binary64_3857` `sqr-pow_binary64_3801` `pow-prod-down_binary64_3900` `pow-pow_binary64_3901` `prod-exp_binary64_3878` `pow-exp_binary64_3897` `rem-cube-cbrt_binary64_3852` `cbrt-unprod_binary64_3862` `diff-log_binary64_3921`
1×	`pow1/3_binary64_3911` `rem-cbrt-cube_binary64_3853` `pow-to-exp_binary64_3898` `unswap-sqr_binary64_3797` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `*-commutative_binary64_3760` `associate-+r-_binary64_3763` `sub-neg_binary64_3822` `+-commutative_binary64_3759`

Counts

4 → 90

Calls

4 calls:

14.0ms	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3)
11.0ms	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
9.0ms	(+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))
3.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3))

Compiler

Compiled 1896 to 583 computations (69.3% saved)

series1.8s (25.9%)

Error

Counts

4 → 120

Calls

4 calls:

901.0ms	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3)
218.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3))
211.0ms	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
115.0ms	(+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))

Compiler

Compiled 12830 to 9480 computations (26.1% saved)

simplify107.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5108	9149

prune370.0ms (5.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	210	4	214

Error

Counts

214 → 4

Compiler

Compiled 7035 to 3523 computations (49.9% saved)

regimes219.0ms (3.2%)

Accuracy

Total 0.0b remaining (69.8%)

Threshold costs 0.0b (69.8%)

Compiler

Compiled 1448 to 1314 computations (9.3% 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%)

sample1.5s (20.9%)

Algorithm

1×

intervals

Results

581.0ms	8000×	body	128	valid
96.0ms	2388×	body	128	invalid

Compiler

Compiled 318 to 285 computations (10.4% saved)

Details

analyze720.0ms (10.4%)

sample28.0ms (0.4%)

simplify186.0ms (2.7%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite63.0ms (0.9%)

series321.0ms (4.6%)

simplify103.0ms (1.5%)

prune61.0ms (0.9%)

localize8.0ms (0.1%)

rewrite58.0ms (0.8%)

series447.0ms (6.4%)

simplify90.0ms (1.3%)

prune60.0ms (0.9%)

localize9.0ms (0.1%)

rewrite77.0ms (1.1%)

series478.0ms (6.9%)

simplify69.0ms (1%)

prune72.0ms (1%)

localize10.0ms (0.1%)

rewrite121.0ms (1.8%)

series1.8s (25.9%)

simplify107.0ms (1.5%)

prune370.0ms (5.3%)

regimes219.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (20.9%)

Profiling