Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample16.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	pre	128	true
4.0ms	256×	body	128	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify97.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	70	10
1	70	10

prune2.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_2806`
8×	`pow1_binary64_2867`
7×	`add-sqr-sqrt_binary64_2828`
6×	`distribute-lft-out_binary64_2757` `swap-sqr_binary64_2773` `flip-+_binary64_2780` `flip3-+_binary64_2809`
5×	`add-cube-cbrt_binary64_2841`
4×	`frac-times_binary64_2816` `associate-l_binary64_2747` `associate-r_binary64_2746`
3×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
2×	`associate-r/_binary64_2748` `associate-l/_binary64_2749`
1×	`pow-sqr_binary64_2779` `*-commutative_binary64_2737` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `prod-exp_binary64_2855` `pow-prod-up_binary64_2876` `cbrt-unprod_binary64_2839` `add-log-exp_binary64_2845` `pow2_binary64_2887` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774` `pow-plus_binary64_2869`

Counts

1 → 40

Calls

1 calls:

10.0ms

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

series15.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify55.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4969	523
1	4969	523

prune31.0ms (1.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Merged error: 0.0b

Counts

44 → 3

Compiler

Compiled 564 to 208 computations (63.1% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite26.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-*r/_binary64_2748`
11×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
8×	`associate-r_binary64_2746`
7×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `flip-+_binary64_2780` `add-cube-cbrt_binary64_2841` `flip3-+_binary64_2809` `pow1_binary64_2867`
6×	`associate-l_binary64_2747`
5×	`add-log-exp_binary64_2845`
4×	`distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `frac-add_binary64_2814`
2×	`distribute-lft-out_binary64_2757` `*-commutative_binary64_2737` `associate-+r+_binary64_2738` `associate-+l+_binary64_2739` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774`
1×	`distribute-rgt-out_binary64_2759` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

3 → 66

Calls

3 calls:

8.0ms	(*.f64 a (+.f64 a b))
8.0ms	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
6.0ms	(*.f64 b (+.f64 a b))

series59.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

21.0ms	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))
19.0ms	(*.f64 a (+.f64 a b))
19.0ms	(*.f64 b (+.f64 a b))

simplify86.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4832	909
1	4832	909

prune49.0ms (2.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	76	2	78

Merged error: 0b

Counts

78 → 2

Compiler

Compiled 1199 to 278 computations (76.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite22.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

9.0ms	(*.f64 b (+.f64 a (+.f64 a b)))
6.0ms	(+.f64 a (+.f64 a b))
4.0ms	(+.f64 (.f64 a a) (.f64 b (+.f64 a (+.f64 a b))))

series67.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(*.f64 b (+.f64 a (+.f64 a b)))
21.0ms	(+.f64 a (+.f64 a b))
20.0ms	(+.f64 (.f64 a a) (.f64 b (+.f64 a (+.f64 a b))))

simplify50.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5037	730

prune36.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	61	2	63

Merged error: 0b

Counts

63 → 2

Compiler

Compiled 942 to 198 computations (79% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 b (-.f64 b a))
0.3b	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))))
0.5b	(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))
0.5b	(.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))

rewrite113.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`*-un-lft-identity_binary64_2806`
46×	`distribute-lft-out_binary64_2757`
40×	`cube-prod_binary64_2834` `unpow-prod-down_binary64_2885`
26×	`swap-sqr_binary64_2773`
24×	`add-sqr-sqrt_binary64_2828` `flip-+_binary64_2780` `flip3-+_binary64_2809`
22×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
20×	`pow1_binary64_2867`
17×	`associate-r_binary64_2746`
16×	`frac-times_binary64_2816` `add-cube-cbrt_binary64_2841`
15×	`associate-l_binary64_2747`
10×	`associate-*r/_binary64_2748`
8×	`associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `associate-*l/_binary64_2749`
7×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
6×	`cancel-sign-sub-inv_binary64_2772` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756`
4×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `sum-cubes_binary64_2807` `add-log-exp_binary64_2845`
3×	`*-commutative_binary64_2737` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774`
2×	`pow-sqr_binary64_2779` `pow-prod-up_binary64_2876` `sub-neg_binary64_2799` `pow2_binary64_2887` `pow-plus_binary64_2869`
1×	`times-frac_binary64_2812` `div-inv_binary64_2803` `flip3--_binary64_2810` `associate-/r_binary64_2750` `distribute-lft-out--_binary64_2758` `flip--_binary64_2781` `clear-num_binary64_2805` `difference-of-squares_binary64_2775` `associate-/l_binary64_2751` `frac-2neg_binary64_2817`

Counts

4 → 169

Calls

4 calls:

42.0ms	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))))
29.0ms	(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))
10.0ms	(.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
7.0ms	(*.f64 b (-.f64 b a))

series170.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(*.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3)))
49.0ms	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (+.f64 (pow.f64 a 3) (pow.f64 b 3))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 a a) (.f64 b (-.f64 b a)))))
47.0ms	(.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))))
23.0ms	(*.f64 b (-.f64 b a))

simplify102.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4975	4269
1	4975	4269

prune267.0ms (12.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	181	2	183

Merged error: 0b

Counts

183 → 2

Compiler

Compiled 7106 to 2864 computations (59.7% saved)

regimes99.0ms (4.8%)

Compiler: Compiled 706 to 473 computations (33% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample668.0ms (32.2%)

Algorithm

1×

intervals

Results

187.0ms	8000×	pre	128	true
134.0ms	8000×	body	128	valid

Compiler

Compiled 200 to 130 computations (35% saved)

Details

analyze2.0ms (0.1%)

sample16.0ms (0.8%)

simplify97.0ms (4.7%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite16.0ms (0.8%)

series15.0ms (0.7%)

simplify55.0ms (2.6%)

prune31.0ms (1.5%)

localize5.0ms (0.3%)

rewrite26.0ms (1.3%)

series59.0ms (2.8%)

simplify86.0ms (4.2%)

prune49.0ms (2.4%)

localize7.0ms (0.3%)

rewrite22.0ms (1.1%)

series67.0ms (3.2%)

simplify50.0ms (2.4%)

prune36.0ms (1.8%)

localize13.0ms (0.6%)

rewrite113.0ms (5.4%)

series170.0ms (8.2%)

simplify102.0ms (4.9%)

prune267.0ms (12.9%)

regimes99.0ms (4.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample668.0ms (32.2%)

Profiling