Details

analyze248.0ms (3.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5092	50
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%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5126	25

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 34 to 24 computations (29.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite92.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

10×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
9×	`add-cbrt-cube_binary64_2501`
8×	`add-sqr-sqrt_binary64_2487` `add-log-exp_binary64_2504`
7×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
3×	`unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-l_binary64_2406`
2×	`sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395`
1×	`pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow2_binary64_2530` `sqr-pow_binary64_2437` `unswap-sqr_binary64_2433` `associate-r_binary64_2405` `*-commutative_binary64_2396`

Counts

4 → 59

Calls

4 calls:

8.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
6.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
4.0ms	(+.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 1523 to 667 computations (56.2% saved)

series714.0ms (9.7%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

355.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
192.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
88.0ms	(+.f64 (.f64 a a) (.f64 b b))
26.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify95.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4905	1630
1	4905	1630

prune106.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	3	111

Error

0.0b

Counts

111 → 3

Compiler

Compiled 2212 to 1072 computations (51.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
2.6b	(.f64 (.f64 a a) (*.f64 b b))

rewrite173.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`pow1_binary64_2526`
21×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
18×	`add-log-exp_binary64_2504`
17×	`pow-prod-down_binary64_2536`
11×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
9×	`sum-log_binary64_2556`
6×	`add-sqr-sqrt_binary64_2487`
5×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
4×	`pow-prod-up_binary64_2535` `pow-plus_binary64_2528` `associate-l_binary64_2406`
2×	`pow2_binary64_2546` `pow-sqr_binary64_2438` `unswap-sqr_binary64_2433` `associate-r_binary64_2405` `*-commutative_binary64_2396` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395`
1×	`associate-+l+_binary64_2398` `associate-+r+_binary64_2397`

Counts

4 → 75

Calls

4 calls:

23.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
21.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))
5.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2592 to 1394 computations (46.2% saved)

series809.0ms (11%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

350.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
310.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
73.0ms	(.f64 (.f64 a a) (*.f64 b b))
26.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2259 to 1840 computations (18.5% saved)

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4972	2041
1	4972	2041

prune142.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	120	3	123

Error

0.0b

Counts

123 → 3

Compiler

Compiled 3085 to 1753 computations (43.2% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 2 (.f64 a a))
1.6b	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))

rewrite64.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
6×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `add-sqr-sqrt_binary64_2487`
4×	`add-cube-cbrt_binary64_2500` `-un-lft-identity_binary64_2465` `associate-l_binary64_2406` `associate-r*_binary64_2405`
2×	`add-log-exp_binary64_2504` `unswap-sqr_binary64_2433` `associate-r/_binary64_2407` `-commutative_binary64_2396`
1×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `flip3-+_binary64_2468` `flip-+_binary64_2439`

Counts

2 → 42

Calls

2 calls:

11.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))
6.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 1112 to 570 computations (48.7% saved)

series232.0ms (3.2%)

Error

0.0b

Counts

2 → 15

Calls

2 calls:

195.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))
24.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 643 to 545 computations (15.2% saved)

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5045	944

prune59.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	58	2	60

Error

Counts

60 → 2

Compiler

Compiled 1228 to 700 computations (43% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 b b) (*.f64 b b))
1.5b	(.f64 (.f64 b b) (+.f64 4 (.f64 2 (.f64 a a))))
4.6b	(.f64 (.f64 b b) (pow.f64 (+.f64 (.f64 2 (.f64 a a)) 4) 3))
7.2b	(/.f64 (+.f64 (pow.f64 b 8) (.f64 (.f64 b b) (pow.f64 (+.f64 (.f64 2 (.f64 a a)) 4) 3))) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (-.f64 (.f64 (+.f64 4 (.f64 2 (.f64 a a))) (+.f64 4 (.f64 2 (.f64 a a)))) (.f64 (.f64 b b) (+.f64 4 (.f64 2 (.f64 a a)))))))

rewrite541.0ms (7.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

120×	`pow1_binary64_2526`
36×	`add-exp-log_binary64_2503` `pow-prod-up_binary64_2535`
28×	`add-cbrt-cube_binary64_2501`
26×	`pow-prod-down_binary64_2536`
22×	`pow-sqr_binary64_2438`
20×	`add-sqr-sqrt_binary64_2487` `prod-exp_binary64_2514`
18×	`pow-plus_binary64_2528`
16×	`add-cube-cbrt_binary64_2500` `-un-lft-identity_binary64_2465` `associate-r*_binary64_2405`
14×	`cbrt-unprod_binary64_2498`
13×	`pow2_binary64_2546`
9×	`times-frac_binary64_2471`
6×	`unswap-sqr_binary64_2433`
4×	`add-log-exp_binary64_2504` `flip3-+_binary64_2468` `flip-+_binary64_2439` `unpow-prod-down_binary64_2544` `cube-prod_binary64_2493` `associate-*r/_binary64_2407`
3×	`associate-/l_binary64_2410` `associate-/r_binary64_2409` `associate-l_binary64_2406` `*-commutative_binary64_2396`
2×	`associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `sqr-pow_binary64_2437` `cube-div_binary64_2494`
1×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `unpow3_binary64_2531` `cube-mult_binary64_2495` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `swap-sqr_binary64_2432`

Counts

4 → 152

Calls

4 calls:

26.0ms	(/.f64 (+.f64 (pow.f64 b 8) (.f64 (.f64 b b) (pow.f64 (+.f64 (.f64 2 (.f64 a a)) 4) 3))) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (-.f64 (.f64 (+.f64 4 (.f64 2 (.f64 a a))) (+.f64 4 (.f64 2 (.f64 a a)))) (.f64 (.f64 b b) (+.f64 4 (.f64 2 (.f64 a a)))))))
14.0ms	(.f64 (.f64 b b) (pow.f64 (+.f64 (.f64 2 (.f64 a a)) 4) 3))
9.0ms	(.f64 (.f64 b b) (*.f64 b b))
8.0ms	(.f64 (.f64 b b) (+.f64 4 (.f64 2 (.f64 a a))))

Compiler

Compiled 10542 to 5849 computations (44.5% saved)

series1.4s (18.7%)

Error

Counts

4 → 29

Calls

4 calls:

1.0s	(/.f64 (+.f64 (pow.f64 b 8) (.f64 (.f64 b b) (pow.f64 (+.f64 (.f64 2 (.f64 a a)) 4) 3))) (+.f64 (.f64 (.f64 b b) (.f64 b b)) (-.f64 (.f64 (+.f64 4 (.f64 2 (.f64 a a))) (+.f64 4 (.f64 2 (.f64 a a)))) (.f64 (.f64 b b) (+.f64 4 (.f64 2 (.f64 a a)))))))
139.0ms	(.f64 (.f64 b b) (+.f64 4 (.f64 2 (.f64 a a))))
119.0ms	(.f64 (.f64 b b) (pow.f64 (+.f64 (.f64 2 (.f64 a a)) 4) 3))
38.0ms	(.f64 (.f64 b b) (*.f64 b b))

Compiler

Compiled 4695 to 3484 computations (25.8% saved)

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4937	4932
1	4937	4932

prune576.0ms (7.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	181	2	183

Error

Counts

183 → 2

Compiler

Compiled 10685 to 6223 computations (41.8% saved)

regimes371.0ms (5%)

Accuracy

Total 0.0b remaining (72%)

Threshold costs 0.0b (72%)

Compiler

Compiled 5585 to 3669 computations (34.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	37
1	34	37

end0.0ms (0%)

sample1.4s (19.2%)

Algorithm

1×

intervals

Results

535.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 801 to 538 computations (32.8% saved)

Details

analyze248.0ms (3.4%)

sample19.0ms (0.3%)

simplify45.0ms (0.6%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite92.0ms (1.3%)

series714.0ms (9.7%)

simplify95.0ms (1.3%)

prune106.0ms (1.4%)

localize13.0ms (0.2%)

rewrite173.0ms (2.4%)

series809.0ms (11%)

simplify66.0ms (0.9%)

prune142.0ms (1.9%)

localize9.0ms (0.1%)

rewrite64.0ms (0.9%)

series232.0ms (3.2%)

simplify62.0ms (0.9%)

prune59.0ms (0.8%)

localize20.0ms (0.3%)

rewrite541.0ms (7.4%)

series1.4s (18.7%)

simplify96.0ms (1.3%)

prune576.0ms (7.8%)

regimes371.0ms (5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (19.2%)

Profiling