Details

analyze340.0ms (2.7%)

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)

sample26.0ms (0.2%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify58.0ms (0.5%)

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)

localize18.0ms (0.1%)

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)
0.9b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite201.0ms (1.6%)

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:

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))))))
9.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
7.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3307 to 1781 computations (46.1% saved)

series1.2s (9.3%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

569.0ms	(+.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))))))
297.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
151.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
63.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3720 to 2815 computations (24.3% saved)

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5452	2603

prune237.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	130	3	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	3	134

Error

0.0b

Counts

134 → 3

Compiler

Compiled 4534 to 2492 computations (45% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.5b	(.f64 a (.f64 a (*.f64 b b)))
0.9b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
1.0b	(.f64 a (.f64 b b))

rewrite232.0ms (1.8%)

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:

8.0ms	(.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)

series475.0ms (3.7%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

145.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
126.0ms	(.f64 a (.f64 a (*.f64 b b)))
90.0ms	(.f64 a (.f64 b b))
66.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2817 to 2044 computations (27.4% saved)

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5115	1236

prune240.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	115	3	118

Error

0.0b

Counts

118 → 3

Compiler

Compiled 4848 to 2840 computations (41.4% saved)

localize21.0ms (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) (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)
0.9b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite170.0ms (1.3%)

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:

13.0ms	(+.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))))))
9.0ms	(.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)

series1.2s (9.2%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

575.0ms	(+.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))))))
278.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
148.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
80.0ms	(+.f64 (*.f64 a a) (pow.f64 a 3))

Compiler

Compiled 3720 to 2815 computations (24.3% saved)

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5506	2530

prune213.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	123	3	126

Error

0.0b

Counts

126 → 3

Compiler

Compiled 4138 to 2255 computations (45.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
0.9b	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
4.7b	(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3)))))))
9.0b	(log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))

rewrite210.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`pow1_binary64_2526`
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×	`log-prod_binary64_2551`
4×	`log-div_binary64_2552` `add-log-exp_binary64_2504` `exp-prod_binary64_2517`
3×	`exp-sum_binary64_2511` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-l_binary64_2406` `unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542`
2×	`log-pow_binary64_2554` `flip3-+_binary64_2468` `flip-+_binary64_2439` `exp-diff_binary64_2513` `associate-*l/_binary64_2408`
1×	`rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `unswap-sqr_binary64_2433` `flip3--_binary64_2469` `flip--_binary64_2440` `associate-r_binary64_2405` `*-commutative_binary64_2396` `pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow2_binary64_2530` `sqr-pow_binary64_2437`

Counts

4 → 70

Calls

4 calls:

8.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
8.0ms	(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3)))))))
7.0ms	(log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
5.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)

Compiler

Compiled 3596 to 1999 computations (44.4% saved)

series5.0s (39.2%)

Error

0.0b

Counts

4 → 61

Calls

4 calls:

4.0s	(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3)))))))
335.0ms	(log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
296.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
149.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))

Compiler

Compiled 6496 to 5299 computations (18.4% saved)

simplify91.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5026	4386

prune268.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	131	3	134

Error

0.0b

Counts

134 → 3

Compiler

Compiled 5156 to 3038 computations (41.1% saved)

regimes575.0ms (4.5%)

Accuracy

Total 0.0b remaining (73.1%)

Threshold costs 0.0b (73.1%)

Compiler

Compiled 7821 to 5541 computations (29.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	58
1	81	58

end0.0ms (0%)

sample1.8s (13.9%)

Algorithm

1×

intervals

Results

503.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 1393 to 998 computations (28.4% saved)

Details

analyze340.0ms (2.7%)

sample26.0ms (0.2%)

simplify58.0ms (0.5%)

prune4.0ms (0%)

localize18.0ms (0.1%)

rewrite201.0ms (1.6%)

series1.2s (9.3%)

simplify57.0ms (0.5%)

prune237.0ms (1.9%)

localize26.0ms (0.2%)

rewrite232.0ms (1.8%)

series475.0ms (3.7%)

simplify67.0ms (0.5%)

prune240.0ms (1.9%)

localize21.0ms (0.2%)

rewrite170.0ms (1.3%)

series1.2s (9.2%)

simplify51.0ms (0.4%)

prune213.0ms (1.7%)

localize21.0ms (0.2%)

rewrite210.0ms (1.7%)

series5.0s (39.2%)

simplify91.0ms (0.7%)

prune268.0ms (2.1%)

regimes575.0ms (4.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (13.9%)

Profiling