Details

analyze297.0ms (3.7%)

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)

sample30.0ms (0.4%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

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)

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))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.0b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite233.0ms (2.9%)

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:

10.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
9.0ms	(+.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))
7.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3307 to 1781 computations (46.1% saved)

series964.0ms (12.2%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

454.0ms	(+.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))))))
231.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
127.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
47.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3786 to 2858 computations (24.5% saved)

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5452	2616

prune277.0ms (3.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	129	5	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	5	135

Error

0.0b

Counts

135 → 5

Compiler

Compiled 4649 to 2558 computations (45% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
1.0b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
1.0b	(.f64 a (.f64 b b))
1.1b	(.f64 a (.f64 a (*.f64 b b)))

rewrite211.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
15×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
11×	`add-sqr-sqrt_binary64_2487`
10×	`*-un-lft-identity_binary64_2465`
9×	`associate-r_binary64_2405`
8×	`add-cube-cbrt_binary64_2500` `associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `-commutative_binary64_2396` `associate-r/_binary64_2407`
3×	`unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
2×	`sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`
1×	`flip3--_binary64_2469` `flip--_binary64_2440` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416`

Counts

4 → 89

Calls

4 calls:

12.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4067 to 2322 computations (42.9% saved)

series461.0ms (5.8%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

157.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
95.0ms	(.f64 a (.f64 a (*.f64 b b)))
94.0ms	(.f64 a (.f64 b b))
70.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2899 to 2100 computations (27.6% saved)

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5115	1249

prune274.0ms (3.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	116	5	121

Error

0.0b

Counts

121 → 5

Compiler

Compiled 4971 to 2912 computations (41.4% saved)

localize30.0ms (0.4%)

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) (pow.f64 a 3)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))))
0.0b	(+.f64 (*.f64 a a) (pow.f64 a 3))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.0b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite188.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
9×	`add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504` `add-sqr-sqrt_binary64_2487`
7×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
3×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate-r_binary64_2405` `unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542`
2×	`sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431` `associate-*r/_binary64_2407` `sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `cube-mult_binary64_2495` `+-commutative_binary64_2395` `associate-+r+_binary64_2397`
1×	`unswap-sqr_binary64_2433` `flip3--_binary64_2469` `flip--_binary64_2440` `associate-l_binary64_2406` `*-commutative_binary64_2396` `pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow2_binary64_2530` `sqr-pow_binary64_2437` `distribute-rgt1-in_binary64_2421` `unpow3_binary64_2531` `distribute-rgt-out_binary64_2418` `distribute-lft-out_binary64_2416`

Counts

4 → 70

Calls

4 calls:

22.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (+.f64 (.f64 a a) (pow.f64 a 3)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
6.0ms	(+.f64 (*.f64 a a) (pow.f64 a 3))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 2940 to 1571 computations (46.6% saved)

series1.0s (13.1%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

509.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (+.f64 (.f64 a a) (pow.f64 a 3)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))))
223.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
162.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
64.0ms	(+.f64 (*.f64 a a) (pow.f64 a 3))

Compiler

Compiled 3786 to 2858 computations (24.5% saved)

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5506	2543

prune192.0ms (2.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	124	5	129

Error

0.0b

Counts

129 → 5

Compiler

Compiled 4253 to 2321 computations (45.4% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 b b) 4) (.f64 a 12))
1.1b	(.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) 4) (.f64 a 12)))

rewrite90.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501`
4×	`add-sqr-sqrt_binary64_2487`
3×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-cube-cbrt_binary64_2500` `cbrt-unprod_binary64_2498` `-un-lft-identity_binary64_2465` `sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431` `associate--l+_binary64_2402` `distribute-lft-in_binary64_2414` `associate-r*_binary64_2405`
2×	`flip3--_binary64_2469` `associate-*r/_binary64_2407` `flip--_binary64_2440` `diff-log_binary64_2557`
1×	`unswap-sqr_binary64_2433` `associate-l_binary64_2406` `*-commutative_binary64_2396` `sum-log_binary64_2556`

Counts

2 → 41

Calls

2 calls:

22.0ms	(.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) 4) (.f64 a 12)))
13.0ms	(-.f64 (+.f64 (.f64 b b) 4) (.f64 a 12))

Compiler

Compiled 1026 to 583 computations (43.2% saved)

series365.0ms (4.6%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

195.0ms	(.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) 4) (.f64 a 12)))
137.0ms	(-.f64 (+.f64 (.f64 b b) 4) (.f64 a 12))

Compiler

Compiled 828 to 691 computations (16.5% saved)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5073	1124

prune59.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	65	5	70

Error

0.0b

Counts

70 → 5

Compiler

Compiled 1184 to 719 computations (39.3% saved)

regimes633.0ms (8%)

Accuracy

Total 0.0b remaining (75.2%)

Threshold costs 0.0b (75.2%)

Compiler

Compiled 8003 to 5395 computations (32.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	81	58
1	81	58

end0.0ms (0%)

sample2.2s (27.2%)

Algorithm

1×

intervals

Results

697.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 1387 to 952 computations (31.4% saved)

Details

analyze297.0ms (3.7%)

sample30.0ms (0.4%)

simplify73.0ms (0.9%)

prune3.0ms (0%)

localize16.0ms (0.2%)

rewrite233.0ms (2.9%)

series964.0ms (12.2%)

simplify68.0ms (0.9%)

prune277.0ms (3.5%)

localize27.0ms (0.3%)

rewrite211.0ms (2.7%)

series461.0ms (5.8%)

simplify75.0ms (0.9%)

prune274.0ms (3.5%)

localize30.0ms (0.4%)

rewrite188.0ms (2.4%)

series1.0s (13.1%)

simplify70.0ms (0.9%)

prune192.0ms (2.4%)

localize17.0ms (0.2%)

rewrite90.0ms (1.1%)

series365.0ms (4.6%)

simplify69.0ms (0.9%)

prune59.0ms (0.7%)

regimes633.0ms (8%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.2s (27.2%)

Profiling