Details

analyze520.0ms (6.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample37.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	237×	body	128	valid
2.0ms	25×	body	128	invalid
1.0ms	6×	body	1024	valid
1.0ms	8×	body	256	valid
1.0ms	5×	body	512	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify107.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune275.0ms (3.3%)

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

0.1b

Counts

2 → 2

Compiler

Compiled 25 to 23 computations (8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

2 calls:

9.0ms	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
0.0ms	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

series125.0ms (1.5%)

Counts

1 → 15

Calls

1 calls:

125.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 196 to 178 computations (9.2% saved)

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5415	405

prune67.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	36	5	41

Error

Counts

41 → 5

Compiler

Compiled 462 to 243 computations (47.4% saved)

localize22.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.3b	(*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
0.2b	(.f64 d1 (.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3)))))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.4b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))

rewrite82.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64_2838`
32×	`associate-*r/_binary64_2748`
30×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
29×	`*-un-lft-identity_binary64_2806`
28×	`frac-times_binary64_2816`
20×	`cbrt-prod_binary64_2837`
14×	`associate-*l/_binary64_2749`
13×	`add-exp-log_binary64_2844` `pow1_binary64_2867`
12×	`distribute-lft-out_binary64_2757`
9×	`add-sqr-sqrt_binary64_2828` `add-cube-cbrt_binary64_2841`
8×	`add-cbrt-cube_binary64_2842` `associate-r_binary64_2746`
6×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow-prod-down_binary64_2877`
4×	`add-log-exp_binary64_2845`
3×	`pow1/3_binary64_2888`
1×	`associate-l_binary64_2747` `*-commutative_binary64_2737`

Counts

4 → 97

Calls

8 calls:

51.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
7.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
6.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
5.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.0ms	(.f64 d1 (.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3)))))

series693.0ms (8.4%)

Counts

4 → 57

Calls

4 calls:

204.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
175.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
169.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
146.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))

Compiler

Compiled 2518 to 2116 computations (16% saved)

simplify96.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4978	3998
1	4978	3998

prune331.0ms (4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	154	5	159

Error

Counts

159 → 5

Compiler

Compiled 4510 to 2639 computations (41.5% saved)

localize22.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 d1)
0.5b	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
0.3b	(.f64 (.f64 (cbrt.f64 d1) (cbrt.f64 d1)) (*.f64 (+.f64 3 (+.f64 d2 d3)) (cbrt.f64 d1)))
0.3b	(*.f64 (+.f64 3 (+.f64 d2 d3)) (cbrt.f64 d1))
0.5b	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
0.6b	(cbrt.f64 d1)
0.6b	(cbrt.f64 d1)
0.6b	(cbrt.f64 d1)

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2837`
23×	`add-sqr-sqrt_binary64_2828`
15×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
11×	`pow1_binary64_2867`
9×	`pow1/3_binary64_2888`
6×	`associate-l_binary64_2747` `add-exp-log_binary64_2844` `swap-sqr_binary64_2773` `associate-r_binary64_2746`
4×	`add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845` `unswap-sqr_binary64_2774`
2×	`pow-sqr_binary64_2779` `pow-prod-up_binary64_2876` `pow-prod-down_binary64_2877`
1×	`*-commutative_binary64_2737` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow2_binary64_2887` `pow-plus_binary64_2869`

Counts

4 → 73

Calls

8 calls:

12.0ms	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
2.0ms	(cbrt.f64 d1)
2.0ms	(cbrt.f64 d1)
2.0ms	(cbrt.f64 d1)
0.0ms	(*.f64 (+.f64 3 (+.f64 d2 d3)) (cbrt.f64 d1))

series499.0ms (6%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
122.0ms	(cbrt.f64 d1)
116.0ms	(cbrt.f64 d1)
98.0ms	(cbrt.f64 d1)

Compiler

Compiled 394 to 334 computations (15.2% saved)

simplify105.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune86.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Error

Counts

90 → 5

Compiler

Compiled 1441 to 583 computations (59.5% saved)

localize18.0ms (0.2%)

Local error

Found 8 expressions with local error:

17.3b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
10.1b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
0.0b	(-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3)))
0.0b	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
0.0b	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
0.0b	(-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3)))
10.1b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
17.3b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

rewrite73.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64_2806`
22×	`add-sqr-sqrt_binary64_2828`
13×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `pow1_binary64_2867`
12×	`add-cube-cbrt_binary64_2841`
8×	`distribute-lft-out_binary64_2757` `associate-r_binary64_2746`
7×	`associate-l_binary64_2747`
6×	`times-frac_binary64_2812` `associate-/r_binary64_2750` `swap-sqr_binary64_2773` `flip-+_binary64_2780` `add-log-exp_binary64_2845` `flip3-+_binary64_2809` `associate-r/_binary64_2748`
4×	`frac-times_binary64_2816` `flip3--_binary64_2810` `distribute-lft-in_binary64_2755` `distribute-lft-out--_binary64_2758` `distribute-rgt-in_binary64_2756` `flip--_binary64_2781` `difference-of-squares_binary64_2775`
3×	`cancel-sign-sub-inv_binary64_2772` `prod-exp_binary64_2855` `sub-neg_binary64_2799` `cbrt-unprod_binary64_2839`
2×	`associate-/l/_binary64_2753` `div-exp_binary64_2857` `associate--r+_binary64_2742` `-commutative_binary64_2737` `cbrt-undiv_binary64_2840` `associate-/r/_binary64_2752` `pow-prod-down_binary64_2877` `associate-l/_binary64_2749` `unswap-sqr_binary64_2774`
1×	`pow-sqr_binary64_2779` `div-inv_binary64_2803` `diff-log_binary64_2898` `pow-prod-up_binary64_2876` `pow2_binary64_2887` `clear-num_binary64_2805` `associate-/l*_binary64_2751` `pow-plus_binary64_2869` `frac-2neg_binary64_2817`

Counts

4 → 111

Calls

8 calls:

20.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
17.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
11.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
6.0ms	(-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3)))
0.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))

series1.5s (18.3%)

Counts

4 → 73

Calls

4 calls:

670.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
435.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
272.0ms	(-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3)))
134.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))

Compiler

Compiled 2383 to 1942 computations (18.5% saved)

simplify137.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	6070	3157

prune231.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	185	4	189

Error

Counts

189 → 4

Compiler

Compiled 3761 to 1870 computations (50.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	210	487
1	210	487

regimes252.0ms (3.1%)

Accuracy

Total 0.1b remaining (99.6%)

Threshold costs 0.1b (99.6%)

Compiler

Compiled 1380 to 1107 computations (19.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample2.8s (34.4%)

Algorithm

1×

intervals

Results

379.0ms	7477×	body	128	valid
32.0ms	238×	body	512	valid
31.0ms	647×	body	128	invalid
30.0ms	170×	body	1024	valid
11.0ms	115×	body	256	valid

Compiler

Compiled 1006 to 794 computations (21.1% saved)

Pareto

0.21257280978113924

Details

analyze520.0ms (6.3%)

sample37.0ms (0.4%)

simplify107.0ms (1.3%)

prune275.0ms (3.3%)

localize5.0ms (0.1%)

rewrite11.0ms (0.1%)

series125.0ms (1.5%)

simplify64.0ms (0.8%)

prune67.0ms (0.8%)

localize22.0ms (0.3%)

rewrite82.0ms (1%)

series693.0ms (8.4%)

simplify96.0ms (1.2%)

prune331.0ms (4%)

localize22.0ms (0.3%)

rewrite29.0ms (0.4%)

series499.0ms (6%)

simplify105.0ms (1.3%)

prune86.0ms (1%)

localize18.0ms (0.2%)

rewrite73.0ms (0.9%)

series1.5s (18.3%)

simplify137.0ms (1.7%)

prune231.0ms (2.8%)

simplify10.0ms (0.1%)

regimes252.0ms (3.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.8s (34.4%)

Profiling