Details

analyze506.0ms (3.3%)

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)

sample42.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	93×	body	256	valid
9.0ms	291×	pre	128	true
8.0ms	163×	body	128	valid
2.0ms	35×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify281.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (275.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune7.0ms (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

43.7b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
38.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite334.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

40.7b

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:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.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)

series630.0ms (4.1%)

Error

0.5b

Counts

4 → 60

Calls

4 calls:

196.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
161.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
146.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
57.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5268	2923

prune162.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	127	10	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	10	138

Error

0.3b

Counts

138 → 10

Compiler

Compiled 3250 to 1809 computations (44.3% 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 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

rewrite603.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

112×	`add-exp-log_binary64_2844`
54×	`prod-exp_binary64_2855`
42×	`add-sqr-sqrt_binary64_2828`
39×	`pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `div-exp_binary64_2857`
29×	`unpow-prod-down_binary64_2885`
25×	`add-cbrt-cube_binary64_2842`
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`
8×	`cbrt-unprod_binary64_2839`
5×	`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 → 186

Calls

4 calls:

11.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 9591 to 6025 computations (37.2% saved)

series822.0ms (5.3%)

Error

0.3b

Counts

4 → 30

Calls

4 calls:

321.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
217.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
122.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
104.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3016 computations (25.5% saved)

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4996	3175
1	4996	3175

prune640.0ms (4.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	216	10	226

Error

0.3b

Counts

226 → 10

Compiler

Compiled 10749 to 6693 computations (37.7% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
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))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite645.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

73×	`add-exp-log_binary64_2844`
46×	`pow1_binary64_2867`
42×	`add-cbrt-cube_binary64_2842`
34×	`prod-exp_binary64_2855`
18×	`pow-prod-down_binary64_2877` `cbrt-unprod_binary64_2839`
17×	`div-exp_binary64_2857`
15×	`times-frac_binary64_2812`
13×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `-un-lft-identity_binary64_2806` `associate-/r_binary64_2750`
10×	`associate-*r/_binary64_2748`
7×	`unpow-prod-down_binary64_2885` `pow-exp_binary64_2874` `cube-prod_binary64_2834` `cbrt-undiv_binary64_2840` `associate-/l/_binary64_2753`
6×	`pow-to-exp_binary64_2875`
5×	`frac-sub_binary64_2815`
4×	`add-log-exp_binary64_2845` `pow-prod-up_binary64_2876` `pow-sqr_binary64_2779` `frac-add_binary64_2814` `associate-/l*_binary64_2751`
3×	`pow-unpow_binary64_2883` `unpow3_binary64_2872` `cube-mult_binary64_2836` `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×	`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 → 140

Calls

4 calls:

31.0ms	(/.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))
12.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9613 to 5645 computations (41.3% saved)

series808.0ms (5.2%)

Error

0.3b

Counts

4 → 42

Calls

4 calls:

329.0ms	(/.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))
234.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
93.0ms	(pow.f64 (*.f64 a c) 3)
82.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4327 to 3270 computations (24.4% saved)

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5124	4394

prune706.0ms (4.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	175	7	182
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	177	15	192

Error

0.3b

Counts

192 → 15

Compiler

Compiled 11318 to 7098 computations (37.3% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite551.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

72×	`times-frac_binary64_2812`
41×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
37×	`unpow-prod-down_binary64_2885`
33×	`add-exp-log_binary64_2844`
23×	`sqr-pow_binary64_2778`
22×	`cube-prod_binary64_2834`
16×	`pow-exp_binary64_2874`
14×	`unpow2_binary64_2871`
13×	`pow1_binary64_2867`
12×	`div-exp_binary64_2857` `associate-/r*_binary64_2750`
10×	`pow-to-exp_binary64_2875`
9×	`pow-unpow_binary64_2883` `add-cbrt-cube_binary64_2842`
8×	`unpow3_binary64_2872` `cube-mult_binary64_2836`
6×	`pow-pow_binary64_2878` `prod-exp_binary64_2855` `associate-/l*_binary64_2751`
4×	`add-log-exp_binary64_2845`
3×	`pow-prod-down_binary64_2877`
2×	`rem-cube-cbrt_binary64_2829`
1×	`cbrt-unprod_binary64_2839` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803`

Counts

4 → 170

Calls

4 calls:

9.0ms	(/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 9378 to 5813 computations (38% saved)

series564.0ms (3.6%)

Error

0.3b

Counts

4 → 27

Calls

4 calls:

228.0ms	(/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))
101.0ms	(pow.f64 (*.f64 a c) 4)
94.0ms	(pow.f64 (*.f64 a c) 3)
81.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 3969 to 2867 computations (27.8% saved)

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4963	2856
1	4963	2856

prune522.0ms (3.4%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	12	12
Picked	0	1	1
Done	0	2	2
Total	197	15	212

Error

0.3b

Counts

212 → 15

Compiler

Compiled 10101 to 5951 computations (41.1% saved)

regimes1.8s (11.5%)

Accuracy

Total 2.6b remaining (89%)

Threshold costs 0b (0%)

Compiler

Compiled 31401 to 21199 computations (32.5% 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%)

sample5.4s (35.2%)

Algorithm

1×

intervals

Results

288.0ms	2930×	body	256	valid
269.0ms	8910×	pre	128	true
262.0ms	5070×	body	128	valid
44.0ms	910×	body	128	nan

Compiler

Compiled 6164 to 4163 computations (32.5% saved)

Details

analyze506.0ms (3.3%)

sample42.0ms (0.3%)

simplify281.0ms (1.8%)

prune7.0ms (0%)

localize10.0ms (0.1%)

rewrite334.0ms (2.2%)

series630.0ms (4.1%)

simplify55.0ms (0.4%)

prune162.0ms (1%)

localize29.0ms (0.2%)

rewrite603.0ms (3.9%)

series822.0ms (5.3%)

simplify91.0ms (0.6%)

prune640.0ms (4.1%)

localize35.0ms (0.2%)

rewrite645.0ms (4.2%)

series808.0ms (5.2%)

simplify107.0ms (0.7%)

prune706.0ms (4.6%)

localize33.0ms (0.2%)

rewrite551.0ms (3.6%)

series564.0ms (3.6%)

simplify63.0ms (0.4%)

prune522.0ms (3.4%)

regimes1.8s (11.5%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample5.4s (35.2%)

Profiling