Details

analyze495.0ms (3.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4937	96
1	4937	96
0	3	3
1	3	3

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

Compiler

Compiled 30 to 24 computations (20% saved)

sample36.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	243×	body	128	valid
8.0ms	286×	pre	128	true
1.0ms	30×	body	128	nan
1.0ms	13×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify279.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (273.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

28.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
28.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite144.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

26.2b

Rules

20×	`add-sqr-sqrt_binary64_2828`
14×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `*-un-lft-identity_binary64_2806`
9×	`pow1_binary64_2867`
8×	`add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841`
6×	`difference-of-squares_binary64_2775` `times-frac_binary64_2812` `associate-/l*_binary64_2751`
4×	`cancel-sign-sub-inv_binary64_2772` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
3×	`flip3--_binary64_2810` `flip--_binary64_2781` `sqrt-prod_binary64_2822` `distribute-lft-out--_binary64_2758` `pow-prod-down_binary64_2877` `associate-r_binary64_2746`
2×	`diff-log_binary64_2898` `sub-neg_binary64_2799` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `associate-/l/_binary64_2753`
1×	`frac-2neg_binary64_2817` `div-sub_binary64_2811` `clear-num_binary64_2805` `div-inv_binary64_2803` `associate-/r_binary64_2750` `associate-l_binary64_2747` `-commutative_binary64_2737`

Counts

4 → 77

Calls

4 calls:

14.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series615.0ms (4.4%)

Error

1.0b

Counts

4 → 60

Calls

4 calls:

200.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
150.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
143.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
58.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5268	2923

prune162.0ms (1.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	123	14	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	123	15	138

Error

0.7b

Counts

138 → 15

Compiler

Compiled 3381 to 1902 computations (43.7% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))

rewrite592.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

109×	`add-exp-log_binary64_2844`
54×	`prod-exp_binary64_2855`
42×	`add-sqr-sqrt_binary64_2828`
30×	`div-exp_binary64_2857`
29×	`add-cbrt-cube_binary64_2842` `unpow-prod-down_binary64_2885`
24×	`pow-to-exp_binary64_2875` `pow-exp_binary64_2874`
22×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
19×	`associate-r_binary64_2746` `times-frac_binary64_2812` `associate-/r*_binary64_2750`
16×	`unswap-sqr_binary64_2774` `cube-prod_binary64_2834`
15×	`sqr-pow_binary64_2778`
13×	`associate-l_binary64_2747`
10×	`cbrt-unprod_binary64_2839`
6×	`cbrt-undiv_binary64_2840`
4×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `unpow3_binary64_2872` `cube-mult_binary64_2836`
2×	`-commutative_binary64_2737` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `associate-/l_binary64_2751`

Counts

4 → 178

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9229 to 5770 computations (37.5% saved)

series822.0ms (5.8%)

Error

0.7b

Counts

4 → 30

Calls

4 calls:

301.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
225.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
127.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
109.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3052 computations (24.6% saved)

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5093	3032

prune619.0ms (4.4%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	205	3	208
Fresh	1	12	13
Picked	0	1	1
Done	0	1	1
Total	206	17	223

Error

0.7b

Counts

223 → 17

Compiler

Compiled 10629 to 6638 computations (37.5% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite632.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

83×	`add-exp-log_binary64_2844`
46×	`pow1_binary64_2867`
37×	`prod-exp_binary64_2855`
32×	`div-exp_binary64_2857`
30×	`pow-exp_binary64_2874`
29×	`pow-to-exp_binary64_2875` `add-cbrt-cube_binary64_2842`
18×	`pow-prod-down_binary64_2877`
11×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `cbrt-unprod_binary64_2839`
10×	`times-frac_binary64_2812` `associate-*r/_binary64_2748`
8×	`associate-/r*_binary64_2750`
7×	`unpow-prod-down_binary64_2885` `associate-/l/_binary64_2753`
5×	`frac-sub_binary64_2815`
4×	`add-log-exp_binary64_2845` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779` `cbrt-undiv_binary64_2840` `frac-add_binary64_2814` `associate-/l*_binary64_2751`
3×	`pow-unpow_binary64_2883` `sqr-pow_binary64_2778`
2×	`pow-pow_binary64_2878` `rem-cube-cbrt_binary64_2829` `pow-plus_binary64_2869` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `flip3-+_binary64_2809` `flip-+_binary64_2780`
1×	`unpow3_binary64_2872` `cube-mult_binary64_2836` `cube-prod_binary64_2834` `pow2_binary64_2887` `swap-sqr_binary64_2773` `associate-l_binary64_2747` `associate-r_binary64_2746` `*-commutative_binary64_2737` `div-sub_binary64_2811` `flip3--_binary64_2810` `flip--_binary64_2781`

Counts

4 → 142

Calls

4 calls:

30.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
5.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9642 to 5747 computations (40.4% saved)

series912.0ms (6.5%)

Error

0.7b

Counts

4 → 42

Calls

4 calls:

342.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
313.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
95.0ms	(pow.f64 (*.f64 a c) 3)
93.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4327 to 3153 computations (27.1% saved)

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5053	4495

prune593.0ms (4.2%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	176	8	184
Fresh	4	10	14
Picked	1	0	1
Done	0	2	2
Total	181	20	201

Error

0.6b

Counts

201 → 20

Compiler

Compiled 11528 to 7033 computations (39% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128)) (*.f64 a 3))
0.5b	(pow.f64 (*.f64 a c) 2)
0.8b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite283.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

18×	`add-exp-log_binary64_2844`
13×	`pow1_binary64_2867`
12×	`add-cbrt-cube_binary64_2842`
9×	`add-cube-cbrt_binary64_2841` `pow-unpow_binary64_2883` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
6×	`pow-pow_binary64_2878` `pow-exp_binary64_2874`
5×	`associate-/l/_binary64_2753`
4×	`prod-exp_binary64_2855` `add-log-exp_binary64_2845` `frac-add_binary64_2814`
3×	`unpow-prod-down_binary64_2885` `pow-prod-down_binary64_2877` `pow-to-exp_binary64_2875` `sqr-pow_binary64_2778` `times-frac_binary64_2812` `associate-l/_binary64_2749` `associate-/l_binary64_2751`
2×	`rem-cube-cbrt_binary64_2829` `cbrt-unprod_binary64_2839` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `associate-*r/_binary64_2748` `flip3-+_binary64_2809` `flip-+_binary64_2780`
1×	`unpow3_binary64_2872` `cube-mult_binary64_2836` `cube-prod_binary64_2834` `unpow2_binary64_2871` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `associate-/r*_binary64_2750`

Counts

4 → 83

Calls

4 calls:

23.0ms	(/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128)) (*.f64 a 3))
4.0ms	(pow.f64 (*.f64 a c) 2)
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 4)

Compiler

Compiled 5386 to 3315 computations (38.5% saved)

series1.1s (7.6%)

Error

0.6b

Counts

4 → 35

Calls

4 calls:

729.0ms	(/.f64 (+.f64 (+.f64 (.f64 9/8 (/.f64 (pow.f64 (.f64 a c) 2) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 4) (pow.f64 b 7)) 405/128)) (*.f64 a 3))
100.0ms	(pow.f64 (*.f64 a c) 4)
95.0ms	(pow.f64 (*.f64 a c) 3)
77.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 4205 to 3016 computations (28.3% saved)

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5121	2870

prune307.0ms (2.2%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	17	17
Picked	0	1	1
Done	0	2	2
Total	118	20	138

Error

0.6b

Counts

138 → 20

Compiler

Compiled 6426 to 3852 computations (40.1% saved)

regimes1.5s (10.8%)

Accuracy

Total 5.2b remaining (89.6%)

Threshold costs 0b (0%)

Compiler

Compiled 26596 to 18193 computations (31.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

end0.0ms (0%)

sample4.6s (32.7%)

Algorithm

1×

intervals

Results

381.0ms	7690×	body	128	valid
260.0ms	8963×	pre	128	true
50.0ms	963×	body	128	nan
28.0ms	310×	body	256	valid

Compiler

Compiled 5224 to 3576 computations (31.5% saved)

Details

analyze495.0ms (3.5%)

sample36.0ms (0.3%)

simplify279.0ms (2%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite144.0ms (1%)

series615.0ms (4.4%)

simplify60.0ms (0.4%)

prune162.0ms (1.1%)

localize29.0ms (0.2%)

rewrite592.0ms (4.2%)

series822.0ms (5.8%)

simplify91.0ms (0.6%)

prune619.0ms (4.4%)

localize33.0ms (0.2%)

rewrite632.0ms (4.5%)

series912.0ms (6.5%)

simplify97.0ms (0.7%)

prune593.0ms (4.2%)

localize28.0ms (0.2%)

rewrite283.0ms (2%)

series1.1s (7.6%)

simplify52.0ms (0.4%)

prune307.0ms (2.2%)

regimes1.5s (10.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.6s (32.7%)

Profiling