Details

analyze331.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5012	92
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5029	46

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite194.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
14×	`add-cbrt-cube_binary64_2501`
10×	`add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
8×	`add-cube-cbrt_binary64_2500`
7×	`associate-r_binary64_2405`
6×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-log-exp_binary64_2504` `cbrt-unprod_binary64_2498`
4×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate-*r/_binary64_2407`
3×	`unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542`
2×	`unswap-sqr_binary64_2433` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431` `associate-l_binary64_2406` `*-commutative_binary64_2396` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-+r+_binary64_2397`
1×	`flip3--_binary64_2469` `flip--_binary64_2440` `pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow2_binary64_2530` `sqr-pow_binary64_2437` `distribute-lft-out_binary64_2416` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

4 → 80

Calls

4 calls:

11.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3307 to 1781 computations (46.1% saved)

series1.1s (12.4%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

533.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
291.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
143.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
73.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3549 to 2674 computations (24.7% saved)

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5340	2516

prune223.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	127	4	131

Error

Counts

131 → 4

Compiler

Compiled 4437 to 2430 computations (45.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (.f64 4 (+.f64 1 a)))) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
0.0b	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
0.7b	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
0.8b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))

rewrite277.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-log-exp_binary64_2504`
14×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-sqr-sqrt_binary64_2487` `associate-*r/_binary64_2407`
7×	`sum-log_binary64_2556`
6×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-cube-cbrt_binary64_2500` `cbrt-unprod_binary64_2498` `-un-lft-identity_binary64_2465` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate-r*_binary64_2405`
5×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
4×	`sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431` `frac-add_binary64_2473` `associate-+r+_binary64_2397`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `associate-+l+_binary64_2398`
2×	`unswap-sqr_binary64_2433` `associate-l_binary64_2406` `*-commutative_binary64_2396` `+-commutative_binary64_2395`

Counts

4 → 83

Calls

4 calls:

21.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (.f64 4 (+.f64 1 a)))) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
13.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
11.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))
8.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

Compiler

Compiled 4584 to 2940 computations (35.9% saved)

series1.5s (16.9%)

Error

Counts

4 → 53

Calls

4 calls:

538.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (.f64 4 (+.f64 1 a)))) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (.f64 a 12))))
488.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a)))) (pow.f64 a 4))
286.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) (*.f64 4 (+.f64 1 a))))
137.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

Compiler

Compiled 4070 to 3265 computations (19.8% saved)

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4995	4398
1	4995	4398

prune320.0ms (3.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	136	4	140

Error

Counts

140 → 4

Compiler

Compiled 5586 to 3649 computations (34.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4)) (pow.f64 a 4))
0.0b	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4)) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (*.f64 a 12))))
0.7b	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))
0.7b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))

rewrite262.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-log-exp_binary64_2504`
14×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-sqr-sqrt_binary64_2487` `associate-*r/_binary64_2407`
7×	`sum-log_binary64_2556`
6×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-cube-cbrt_binary64_2500` `cbrt-unprod_binary64_2498` `-un-lft-identity_binary64_2465` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate-r*_binary64_2405`
5×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
4×	`sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431` `frac-add_binary64_2473` `associate-+r+_binary64_2397`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `associate-+l+_binary64_2398`
2×	`unswap-sqr_binary64_2433` `associate-l_binary64_2406` `*-commutative_binary64_2396` `+-commutative_binary64_2395`

Counts

4 → 83

Calls

4 calls:

21.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4)) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (*.f64 a 12))))
13.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4)) (pow.f64 a 4))
11.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
7.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

Compiler

Compiled 4028 to 2523 computations (37.4% saved)

series1.2s (13.6%)

Error

Counts

4 → 47

Calls

4 calls:

498.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4)) (pow.f64 a 4))) (.f64 (.f64 b b) (-.f64 4 (*.f64 a 12))))
339.0ms	(+.f64 (.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4)) (pow.f64 a 4))
192.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
137.0ms	(.f64 (.f64 b b) (-.f64 4 (*.f64 a 12)))

Compiler

Compiled 3360 to 2695 computations (19.8% saved)

simplify84.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4947	3660
1	4947	3660

prune254.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	130	4	134

Error

Counts

134 → 4

Compiler

Compiled 4757 to 2974 computations (37.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a 4)) 1)
0.1b	(*.f64 (pow.f64 a 3) (+.f64 a 4))

rewrite73.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_2487`
12×	`associate-l_binary64_2406`
9×	`*-un-lft-identity_binary64_2465`
7×	`add-exp-log_binary64_2503` `add-cube-cbrt_binary64_2500`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `unpow-prod-down_binary64_2544` `unswap-sqr_binary64_2433` `cube-prod_binary64_2493` `associate-r_binary64_2405`
3×	`prod-exp_binary64_2514` `cancel-sign-sub-inv_binary64_2431`
2×	`pow1_binary64_2526` `sqr-pow_binary64_2437` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate-*r/_binary64_2407` `associate--l+_binary64_2402`
1×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `cbrt-unprod_binary64_2498` `flip3-+_binary64_2468` `flip-+_binary64_2439` `unpow3_binary64_2531` `cube-mult_binary64_2495` `distribute-lft-out_binary64_2416` `*-commutative_binary64_2396` `diff-log_binary64_2557` `flip3--_binary64_2469` `sub-neg_binary64_2458` `flip--_binary64_2440`

Counts

2 → 52

Calls

2 calls:

8.0ms	(*.f64 (pow.f64 a 3) (+.f64 a 4))
7.0ms	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a 4)) 1)

Compiler

Compiled 866 to 679 computations (21.6% saved)

series293.0ms (3.2%)

Error

Counts

2 → 15

Calls

2 calls:

185.0ms	(-.f64 (*.f64 (pow.f64 a 3) (+.f64 a 4)) 1)
94.0ms	(*.f64 (pow.f64 a 3) (+.f64 a 4))

Compiler

Compiled 296 to 284 computations (4.1% saved)

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4963	804
1	4963	804

prune64.0ms (0.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	67	4	71

Error

Counts

71 → 4

Compiler

Compiled 845 to 663 computations (21.5% saved)

regimes636.0ms (7%)

Accuracy

Total 0.0b remaining (73.6%)

Threshold costs 0.0b (73.6%)

Compiler

Compiled 8560 to 6138 computations (28.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	52
1	77	52

end0.0ms (0%)

sample1.9s (20.5%)

Algorithm

1×

intervals

Results

502.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 1527 to 1107 computations (27.5% saved)

Details

analyze331.0ms (3.6%)

sample26.0ms (0.3%)

simplify57.0ms (0.6%)

prune4.0ms (0%)

localize16.0ms (0.2%)

rewrite194.0ms (2.1%)

series1.1s (12.4%)

simplify47.0ms (0.5%)

prune223.0ms (2.4%)

localize19.0ms (0.2%)

rewrite277.0ms (3%)

series1.5s (16.9%)

simplify91.0ms (1%)

prune320.0ms (3.5%)

localize17.0ms (0.2%)

rewrite262.0ms (2.9%)

series1.2s (13.6%)

simplify84.0ms (0.9%)

prune254.0ms (2.8%)

localize5.0ms (0.1%)

rewrite73.0ms (0.8%)

series293.0ms (3.2%)

simplify61.0ms (0.7%)

prune64.0ms (0.7%)

regimes636.0ms (7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (20.5%)

Profiling