Details

analyze355.0ms (8.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	70
1	133	70
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Symmetry

(sort b c d)

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample44.0ms (1%)

Algorithm

1×

intervals

Results

10.0ms	256×	pre	128	true
6.0ms	256×	body	128	valid
0.0ms	2×	pre	128	false

Compiler

Compiled 31 to 31 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`*-un-lft-identity_binary64_2806`
5×	`add-sqr-sqrt_binary64_2828` `associate-r_binary64_2746`
3×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `associate-l_binary64_2747` `distribute-lft-out_binary64_2757`
2×	`associate-*r/_binary64_2748`
1×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `flip3-+_binary64_2809` `flip-+_binary64_2780` `*-commutative_binary64_2737`

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 336 to 85 computations (74.7% saved)

series146.0ms (3.4%)

Error

0.0b

Counts

1 → 21

Calls

1 calls:

135.0ms

(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 426 to 269 computations (36.9% saved)

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5029	456

prune30.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

Counts

46 → 4

Compiler

Compiled 454 to 103 computations (77.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 a (+.f64 b c))
0.0b	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))

rewrite42.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
4×	`add-log-exp_binary64_2845` `pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `associate-r_binary64_2746`
3×	`associate-l_binary64_2747`
2×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-lft-out_binary64_2757` `distribute-rgt-in_binary64_2756` `associate-+l+_binary64_2739` `distribute-lft-in_binary64_2755` `associate-*r/_binary64_2748`
1×	`sum-log_binary64_2897` `+-commutative_binary64_2736` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737`

Counts

2 → 37

Calls

2 calls:

7.0ms	(*.f64 a (+.f64 b c))
7.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))

Compiler

Compiled 590 to 145 computations (75.4% saved)

series271.0ms (6.3%)

Error

Counts

2 → 36

Calls

2 calls:

177.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
79.0ms	(*.f64 a (+.f64 b c))

Compiler

Compiled 801 to 473 computations (40.9% saved)

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4951	681
1	4951	681

prune40.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	1	2
Picked	0	1	1
Done	1	0	1
Total	74	3	77

Error

Counts

77 → 3

Compiler

Compiled 774 to 148 computations (80.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 b a) (.f64 a (+.f64 d c)))
0.0b	(*.f64 a (+.f64 d c))

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
4×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `add-cube-cbrt_binary64_2841` `associate-r_binary64_2746`
3×	`associate-l_binary64_2747`
2×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `flip3-+_binary64_2809` `associate-*r/_binary64_2748` `flip-+_binary64_2780` `associate-+r+_binary64_2738`
1×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `distribute-lft-out_binary64_2757` `*-commutative_binary64_2737` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 a (+.f64 d c))
5.0ms	(+.f64 (.f64 b a) (.f64 a (+.f64 d c)))

Compiler

Compiled 583 to 143 computations (75.5% saved)

series283.0ms (6.6%)

Error

Counts

2 → 36

Calls

2 calls:

180.0ms	(+.f64 (.f64 b a) (.f64 a (+.f64 d c)))
87.0ms	(*.f64 a (+.f64 d c))

Compiler

Compiled 801 to 474 computations (40.8% saved)

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5469	674

prune34.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	72	3	75

Error

Counts

75 → 3

Compiler

Compiled 758 to 144 computations (81% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (+.f64 d (+.f64 b c)))
0.1b	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))
0.1b	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))
0.5b	(.f64 (sqrt.f64 (.f64 a (+.f64 d (+.f64 b c)))) (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))))

rewrite134.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`pow1_binary64_2867`
32×	`sqrt-pow1_binary64_2824`
23×	`pow-prod-down_binary64_2877`
20×	`associate-*r/_binary64_2748`
16×	`sqrt-div_binary64_2823`
15×	`*-un-lft-identity_binary64_2806`
14×	`add-sqr-sqrt_binary64_2828`
12×	`pow1/2_binary64_2886`
10×	`pow-prod-up_binary64_2876` `add-cube-cbrt_binary64_2841`
9×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-r_binary64_2746`
8×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
7×	`associate-l_binary64_2747`
6×	`pow-sqr_binary64_2779` `sqrt-prod_binary64_2822`
4×	`add-log-exp_binary64_2845` `frac-times_binary64_2816` `swap-sqr_binary64_2773`
3×	`distribute-lft-out_binary64_2757`
2×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `associate-l/_binary64_2749` `-commutative_binary64_2737`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `sqrt-unprod_binary64_2826` `rem-square-sqrt_binary64_2818` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`

Counts

4 → 107

Calls

4 calls:

20.0ms	(.f64 (sqrt.f64 (.f64 a (+.f64 d (+.f64 b c)))) (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))))
8.0ms	(*.f64 a (+.f64 d (+.f64 b c)))
6.0ms	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))
6.0ms	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))

Compiler

Compiled 2640 to 449 computations (83% saved)

series661.0ms (15.4%)

Error

Counts

4 → 80

Calls

4 calls:

170.0ms	(.f64 (sqrt.f64 (.f64 a (+.f64 d (+.f64 b c)))) (sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c)))))
157.0ms	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))
145.0ms	(sqrt.f64 (*.f64 a (+.f64 d (+.f64 b c))))
138.0ms	(*.f64 a (+.f64 d (+.f64 b c)))

Compiler

Compiled 4426 to 2437 computations (44.9% saved)

simplify87.0ms (2%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4979	2652
1	4979	2652

prune119.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	187	3	190

Error

Counts

190 → 3

Compiler

Compiled 3376 to 550 computations (83.7% saved)

regimes450.0ms (10.5%)

Accuracy

Total 0.0b remaining (90.4%)

Threshold costs 0.0b (90.4%)

Compiler

Compiled 2915 to 2048 computations (29.7% saved)

bsearch0.0ms (0%)

simplify20.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

Remove

(sort b c d)

Compiler

Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0%)

sample1.3s (30.1%)

Algorithm

1×

intervals

Results

316.0ms	8000×	pre	128	true
192.0ms	8000×	body	128	valid

Compiler

Compiled 382 to 278 computations (27.2% saved)

Details

analyze355.0ms (8.3%)

sample44.0ms (1%)

simplify7.0ms (0.2%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite28.0ms (0.6%)

series146.0ms (3.4%)

simplify74.0ms (1.7%)

prune30.0ms (0.7%)

localize6.0ms (0.1%)

rewrite42.0ms (1%)

series271.0ms (6.3%)

simplify53.0ms (1.2%)

prune40.0ms (0.9%)

localize6.0ms (0.1%)

rewrite34.0ms (0.8%)

series283.0ms (6.6%)

simplify60.0ms (1.4%)

prune34.0ms (0.8%)

localize7.0ms (0.2%)

rewrite134.0ms (3.1%)

series661.0ms (15.4%)

simplify87.0ms (2%)

prune119.0ms (2.8%)

regimes450.0ms (10.5%)

bsearch0.0ms (0%)

simplify20.0ms (0.5%)

end0.0ms (0%)

sample1.3s (30.1%)

Profiling