Details

analyze167.0ms (1.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	681	19
1	681	19
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample26.0ms (0.2%)

Algorithm

1×

intervals

Results

6.0ms	50×	body	1024	valid
6.0ms	21×	body	512	valid
5.0ms	159×	body	128	valid
2.0ms	10×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	681	19
1	681	19

prune2.0ms (0%)

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

23.8b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 x 1))
2.5b	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

rewrite62.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

130×	`*-un-lft-identity_binary64_2806`
76×	`times-frac_binary64_2812`
75×	`add-sqr-sqrt_binary64_2828`
34×	`cancel-sign-sub-inv_binary64_2772`
27×	`add-cube-cbrt_binary64_2841`
23×	`distribute-lft-out_binary64_2757`
22×	`distribute-lft-out--_binary64_2758` `difference-of-squares_binary64_2775`
9×	`difference-of-sqr-1_binary64_2776`
7×	`associate-/r*_binary64_2750`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845` `associate-/r/_binary64_2752` `associate-/l*_binary64_2751`
3×	`flip3--_binary64_2810` `flip--_binary64_2781`
2×	`associate-/l/_binary64_2753` `div-inv_binary64_2803` `pow1_binary64_2867`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `diff-log_binary64_2898` `sub-neg_binary64_2799` `flip-+_binary64_2780` `frac-sub_binary64_2815` `flip3-+_binary64_2809` `clear-num_binary64_2805` `frac-2neg_binary64_2817`

Counts

2 → 114

Calls

2 calls:

42.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
8.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))

series47.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
13.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5302	2309

prune149.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	4	121

Error

0.0b

Counts

121 → 4

Compiler

Compiled 2421 to 1725 computations (28.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (/.f64 x (+.f64 x 1)) 3)
0.0b	(pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) 3)
0.3b	(/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1))
2.5b	(-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) 3))

rewrite239.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

397×	`*-un-lft-identity_binary64_2806`
247×	`add-sqr-sqrt_binary64_2828`
245×	`times-frac_binary64_2812`
146×	`cube-prod_binary64_2834` `unpow-prod-down_binary64_2885`
83×	`add-cube-cbrt_binary64_2841`
76×	`difference-of-squares_binary64_2775`
74×	`cancel-sign-sub-inv_binary64_2772`
73×	`distribute-lft-out--_binary64_2758`
66×	`distribute-lft-out_binary64_2757`
20×	`difference-of-sqr-1_binary64_2776`
15×	`sqr-pow_binary64_2778`
14×	`associate-/r/_binary64_2752`
12×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
7×	`div-inv_binary64_2803` `associate-/r*_binary64_2750`
6×	`flip3--_binary64_2810` `pow-unpow_binary64_2883` `add-log-exp_binary64_2845` `flip--_binary64_2781` `pow1_binary64_2867`
4×	`pow-exp_binary64_2874` `cube-div_binary64_2835` `rem-cube-cbrt_binary64_2829`
3×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `unpow3_binary64_2872` `flip-+_binary64_2780` `flip3-+_binary64_2809` `cube-mult_binary64_2836` `associate-/l*_binary64_2751`
2×	`associate-/l/_binary64_2753` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875`
1×	`diff-log_binary64_2898` `sub-neg_binary64_2799` `frac-sub_binary64_2815` `difference-cubes_binary64_2808` `clear-num_binary64_2805` `frac-2neg_binary64_2817`

Counts

4 → 351

Calls

4 calls:

141.0ms	(-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) 3))
12.0ms	(pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) 3)
9.0ms	(/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1))
8.0ms	(pow.f64 (/.f64 x (+.f64 x 1)) 3)

series136.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

67.0ms	(-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) 3))
32.0ms	(/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1))
20.0ms	(pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) 3)
16.0ms	(pow.f64 (/.f64 x (+.f64 x 1)) 3)

simplify136.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

363 → 363

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5001	10486

prune1.7s (14.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	360	3	363
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	362	5	367

Error

0.0b

Counts

367 → 5

Compiler

Compiled 20827 to 15244 computations (26.8% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))
0.4b	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))
0.4b	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))
2.5b	(-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) 3))

rewrite235.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

327×	`*-un-lft-identity_binary64_2806`
214×	`add-sqr-sqrt_binary64_2828`
207×	`times-frac_binary64_2812`
94×	`cube-prod_binary64_2834` `unpow-prod-down_binary64_2885`
81×	`cbrt-prod_binary64_2837`
74×	`cancel-sign-sub-inv_binary64_2772`
70×	`distribute-lft-out--_binary64_2758` `difference-of-squares_binary64_2775`
62×	`add-cube-cbrt_binary64_2841`
46×	`distribute-lft-out_binary64_2757`
17×	`difference-of-sqr-1_binary64_2776`
13×	`sqr-pow_binary64_2778`
10×	`associate-/r/_binary64_2752`
6×	`flip3--_binary64_2810` `add-log-exp_binary64_2845` `flip--_binary64_2781`
5×	`div-inv_binary64_2803`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `pow1_binary64_2867`
3×	`cbrt-div_binary64_2838` `pow1/3_binary64_2888`
2×	`cube-div_binary64_2835`
1×	`unpow3_binary64_2872` `diff-log_binary64_2898` `sub-neg_binary64_2799` `frac-sub_binary64_2815` `difference-cubes_binary64_2808` `cube-mult_binary64_2836`

Counts

4 → 268

Calls

4 calls:

140.0ms	(-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) 3))
8.0ms	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))
7.0ms	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))
7.0ms	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))

series231.0ms (2%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) 3))
50.0ms	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))
50.0ms	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))
50.0ms	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))

simplify155.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

280 → 280

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5173	10836

prune2.8s (23.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	279	1	280
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	280	5	285

Error

0.0b

Counts

285 → 5

Compiler

Compiled 27624 to 20542 computations (25.6% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))
0.4b	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))
0.4b	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))
2.5b	(-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) 3))

rewrite242.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

327×	`*-un-lft-identity_binary64_2806`
214×	`add-sqr-sqrt_binary64_2828`
207×	`times-frac_binary64_2812`
94×	`cube-prod_binary64_2834` `unpow-prod-down_binary64_2885`
81×	`cbrt-prod_binary64_2837`
74×	`cancel-sign-sub-inv_binary64_2772`
70×	`distribute-lft-out--_binary64_2758` `difference-of-squares_binary64_2775`
62×	`add-cube-cbrt_binary64_2841`
46×	`distribute-lft-out_binary64_2757`
17×	`difference-of-sqr-1_binary64_2776`
13×	`sqr-pow_binary64_2778`
10×	`associate-/r/_binary64_2752`
6×	`flip3--_binary64_2810` `add-log-exp_binary64_2845` `flip--_binary64_2781`
5×	`div-inv_binary64_2803`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `pow1_binary64_2867`
3×	`cbrt-div_binary64_2838` `pow1/3_binary64_2888`
2×	`cube-div_binary64_2835`
1×	`unpow3_binary64_2872` `diff-log_binary64_2898` `sub-neg_binary64_2799` `frac-sub_binary64_2815` `difference-cubes_binary64_2808` `cube-mult_binary64_2836`

Counts

4 → 268

Calls

4 calls:

140.0ms	(-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) 3))
8.0ms	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))
8.0ms	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))
8.0ms	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))

series217.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) (pow.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) 3))
53.0ms	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))
50.0ms	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))
49.0ms	(cbrt.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (-.f64 x 1)))) (-.f64 x 1)))

simplify145.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

280 → 280

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5173	10836

prune2.6s (22.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	280	5	285

Error

0.0b

Counts

285 → 5

Compiler

Compiled 28247 to 21218 computations (24.9% saved)

regimes239.0ms (2.1%)

Accuracy

Total 0.1b remaining (66.3%)

Threshold costs 0.1b (66.3%)

Compiler

Compiled 3016 to 2302 computations (23.7% saved)

bsearch48.0ms (0.4%)

Steps

Iters	Range		Point
10	423.29968247452484	445222312480804.5	11395.83232975666
9	-39959667632.484276	-18.86815369649607	-11037.031453511838

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	85	110
1	85	110

end0.0ms (0%)

sample1.8s (15.8%)

Algorithm

1×

intervals

Results

247.0ms	1988×	body	1024	valid
142.0ms	4346×	body	128	valid
90.0ms	975×	body	512	valid
32.0ms	483×	body	256	valid
31.0ms	208×	body	2048	valid

Compiler

Compiled 1502 to 1146 computations (23.7% saved)

Details

analyze167.0ms (1.4%)

sample26.0ms (0.2%)

simplify79.0ms (0.7%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite62.0ms (0.5%)

series47.0ms (0.4%)

simplify70.0ms (0.6%)

prune149.0ms (1.3%)

localize16.0ms (0.1%)

rewrite239.0ms (2.1%)

series136.0ms (1.2%)

simplify136.0ms (1.2%)

prune1.7s (14.5%)

localize25.0ms (0.2%)

rewrite235.0ms (2%)

series231.0ms (2%)

simplify155.0ms (1.3%)

prune2.8s (23.9%)

localize28.0ms (0.2%)

rewrite242.0ms (2.1%)

series217.0ms (1.9%)

simplify145.0ms (1.2%)

prune2.6s (22.6%)

regimes239.0ms (2.1%)

bsearch48.0ms (0.4%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.8s (15.8%)

Profiling