Details

analyze294.0ms (4.4%)

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)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5029	46

prune3.0ms (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)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (*.f64 3 a))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite154.0ms (2.3%)

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×	`add-log-exp_binary64_2504` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
4×	`associate-*r/_binary64_2407`
3×	`unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542` `sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431` `distribute-lft-in_binary64_2414`
2×	`unswap-sqr_binary64_2433` `flip3--_binary64_2469` `flip--_binary64_2440` `associate-l_binary64_2406` `*-commutative_binary64_2396`
1×	`pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow2_binary64_2530` `sqr-pow_binary64_2437` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416` `diff-log_binary64_2557`

Counts

4 → 79

Calls

4 calls:

9.0ms	(.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)
3.0ms	(-.f64 1 (*.f64 3 a))

Compiler

Compiled 3034 to 1663 computations (45.2% saved)

series419.0ms (6.3%)

Error

0.0b

Counts

4 → 37

Calls

4 calls:

208.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
89.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
46.0ms	(.f64 (.f64 a a) (+.f64 1 a))
26.0ms	(-.f64 1 (*.f64 3 a))

Compiler

Compiled 2926 to 2053 computations (29.8% saved)

simplify84.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5226	1496

prune166.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	113	4	117

Error

0.0b

Counts

117 → 4

Compiler

Compiled 4091 to 2222 computations (45.7% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (*.f64 3 a))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
1.9b	(.f64 (.f64 a a) (*.f64 b b))

rewrite216.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`pow1_binary64_2526`
26×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
20×	`pow-prod-down_binary64_2536`
14×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
8×	`add-sqr-sqrt_binary64_2487` `-un-lft-identity_binary64_2465` `associate-r*_binary64_2405`
6×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500`
4×	`pow-prod-up_binary64_2535` `pow-plus_binary64_2528` `associate-*r/_binary64_2407`
3×	`unswap-sqr_binary64_2433` `associate-l_binary64_2406` `*-commutative_binary64_2396` `sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431` `distribute-lft-in_binary64_2414`
2×	`pow2_binary64_2546` `pow-sqr_binary64_2438` `flip3--_binary64_2469` `flip--_binary64_2440`
1×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416` `diff-log_binary64_2557`

Counts

4 → 90

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (*.f64 b b))
9.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
3.0ms	(-.f64 1 (*.f64 3 a))

Compiler

Compiled 4099 to 2382 computations (41.9% saved)

series315.0ms (4.7%)

Error

0.0b

Counts

4 → 25

Calls

4 calls:

98.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
85.0ms	(.f64 (.f64 a a) (*.f64 b b))
56.0ms	(.f64 (.f64 a a) (+.f64 1 a))
35.0ms	(-.f64 1 (*.f64 3 a))

Compiler

Compiled 2606 to 1825 computations (30% saved)

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5159	1222

prune212.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	115	4	119

Error

0.0b

Counts

119 → 4

Compiler

Compiled 4846 to 2859 computations (41% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
18.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
18.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
18.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

rewrite376.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

96×	`cbrt-prod_binary64_2496`
52×	`add-sqr-sqrt_binary64_2487`
31×	`unpow-prod-down_binary64_2544`
25×	`unswap-sqr_binary64_2433`
22×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
17×	`unpow2_binary64_2530` `sqr-pow_binary64_2437`
11×	`pow1_binary64_2526` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
9×	`pow1/3_binary64_2547`
6×	`add-exp-log_binary64_2503`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 124

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
7.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

Compiler

Compiled 8472 to 3821 computations (54.9% saved)

series979.0ms (14.7%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

286.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
198.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
196.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
195.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

Compiler

Compiled 7284 to 4796 computations (34.2% saved)

simplify114.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4929	3880
1	4929	3880

prune414.0ms (6.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	175	4	179

Error

Counts

179 → 4

Compiler

Compiled 9892 to 4502 computations (54.5% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
3.1b	(exp.f64 (log.f64 (+.f64 (*.f64 a a) (pow.f64 a 3))))
21.6b	(log.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))

rewrite167.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`pow1_binary64_2526` `log-prod_binary64_2551`
11×	`add-sqr-sqrt_binary64_2487` `add-exp-log_binary64_2503`
10×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`add-cbrt-cube_binary64_2501`
6×	`exp-sum_binary64_2511`
4×	`log-div_binary64_2552` `cube-mult_binary64_2495` `add-log-exp_binary64_2504` `exp-prod_binary64_2517`
3×	`unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-r_binary64_2405`
2×	`log-pow_binary64_2554` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-rgt1-in_binary64_2421` `unpow3_binary64_2531` `distribute-rgt-out_binary64_2418` `distribute-lft-out_binary64_2416` `exp-diff_binary64_2513` `sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431` `distribute-lft-in_binary64_2414` `associate-*r/_binary64_2407`
1×	`rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow2_binary64_2530` `sqr-pow_binary64_2437` `unswap-sqr_binary64_2433` `flip3--_binary64_2469` `flip--_binary64_2440` `associate-l_binary64_2406` `*-commutative_binary64_2396`

Counts

4 → 80

Calls

4 calls:

11.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(exp.f64 (log.f64 (+.f64 (*.f64 a a) (pow.f64 a 3))))
7.0ms	(log.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3317 to 1855 computations (44.1% saved)

series489.0ms (7.4%)

Error

Counts

4 → 37

Calls

4 calls:

200.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
114.0ms	(exp.f64 (log.f64 (+.f64 (*.f64 a a) (pow.f64 a 3))))
88.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
34.0ms	(log.f64 (+.f64 (*.f64 a a) (pow.f64 a 3)))

Compiler

Compiled 3196 to 2351 computations (26.4% saved)

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5118	1720

prune181.0ms (2.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	117	4	121

Error

Counts

121 → 4

Compiler

Compiled 4275 to 2399 computations (43.9% saved)

regimes324.0ms (4.9%)

Accuracy

Total 0.0b remaining (51.2%)

Threshold costs 0.0b (51.2%)

Compiler

Compiled 5758 to 3560 computations (38.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	79	58
1	79	58

end0.0ms (0%)

sample1.4s (21.4%)

Algorithm

1×

intervals

Results

512.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 1052 to 660 computations (37.3% saved)

Details

analyze294.0ms (4.4%)

sample25.0ms (0.4%)

simplify58.0ms (0.9%)

prune3.0ms (0%)

localize19.0ms (0.3%)

rewrite154.0ms (2.3%)

series419.0ms (6.3%)

simplify84.0ms (1.3%)

prune166.0ms (2.5%)

localize24.0ms (0.4%)

rewrite216.0ms (3.2%)

series315.0ms (4.7%)

simplify65.0ms (1%)

prune212.0ms (3.2%)

localize21.0ms (0.3%)

rewrite376.0ms (5.7%)

series979.0ms (14.7%)

simplify114.0ms (1.7%)

prune414.0ms (6.2%)

localize20.0ms (0.3%)

rewrite167.0ms (2.5%)

series489.0ms (7.4%)

simplify81.0ms (1.2%)

prune181.0ms (2.7%)

regimes324.0ms (4.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (21.4%)

Profiling