Details

analyze295.0ms (2.7%)

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)

sample20.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

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)

localize9.0ms (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 b b)))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite104.0ms (0.9%)

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)))
5.0ms	(.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)

series1.1s (9.7%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

572.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
267.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
127.0ms	(+.f64 (.f64 a a) (.f64 b b))
38.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4905	1630
1	4905	1630

prune133.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	4	111

Error

Counts

111 → 4

Compiler

Compiled 2302 to 1115 computations (51.6% saved)

localize14.0ms (0.1%)

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 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
2.2b	(.f64 (.f64 a a) (*.f64 b b))

rewrite188.0ms (1.7%)

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)))
19.0ms	(+.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)

series1.2s (11%)

Error

Counts

4 → 45

Calls

4 calls:

572.0ms	(+.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)))
434.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
120.0ms	(.f64 (.f64 a a) (*.f64 b b))
41.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2259 to 1840 computations (18.5% saved)

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4972	2041
1	4972	2041

prune163.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	120	4	124

Error

Counts

124 → 4

Compiler

Compiled 3175 to 1796 computations (43.4% saved)

localize14.0ms (0.1%)

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)))
19.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
19.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
19.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

rewrite330.0ms (3%)

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:

17.0ms	(.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)))
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))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

Compiler

Compiled 6736 to 2705 computations (59.8% saved)

series1.2s (10.5%)

Error

Counts

4 → 48

Calls

4 calls:

290.0ms	(.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)))
267.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
255.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
253.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

Compiler

Compiled 5178 to 3401 computations (34.3% saved)

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4993	3751
1	4993	3751

prune328.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	172	4	176

Error

Counts

176 → 4

Compiler

Compiled 7316 to 2848 computations (61.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))) (cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2))))
15.4b	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
15.4b	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
15.4b	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))

rewrite348.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
18×	`cbrt-div_binary64_2497`
15×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
11×	`pow1_binary64_2526`
9×	`pow1/3_binary64_2547` `flip3-+_binary64_2468` `flip-+_binary64_2439`
6×	`add-exp-log_binary64_2503` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405`
4×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `frac-times_binary64_2475` `unswap-sqr_binary64_2433`
2×	`pow-prod-down_binary64_2536` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438` `associate-l/_binary64_2408` `associate-r/_binary64_2407`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `*-commutative_binary64_2396`

Counts

4 → 87

Calls

4 calls:

24.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))) (cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2))))
12.0ms	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
11.0ms	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
10.0ms	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))

Compiler

Compiled 6494 to 2839 computations (56.3% saved)

series3.1s (27.8%)

Error

Counts

4 → 67

Calls

4 calls:

1.2s	(.f64 (cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))) (cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2))))
530.0ms	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
524.0ms	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))
524.0ms	(cbrt.f64 (+.f64 (.f64 4 (.f64 b b)) (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)))

Compiler

Compiled 11232 to 8111 computations (27.8% saved)

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5098	6323

prune483.0ms (4.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	154	4	158

Error

Counts

158 → 4

Compiler

Compiled 9323 to 4621 computations (50.4% saved)

regimes471.0ms (4.3%)

Accuracy

Total 0.0b remaining (78.5%)

Threshold costs 0.0b (78.5%)

Compiler

Compiled 6314 to 3933 computations (37.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	37
1	33	37

end0.0ms (0%)

sample1.2s (11.1%)

Algorithm

1×

intervals

Results

340.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 864 to 552 computations (36.1% saved)

Details

analyze295.0ms (2.7%)

sample20.0ms (0.2%)

simplify39.0ms (0.4%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite104.0ms (0.9%)

series1.1s (9.7%)

simplify97.0ms (0.9%)

prune133.0ms (1.2%)

localize14.0ms (0.1%)

rewrite188.0ms (1.7%)

series1.2s (11%)

simplify65.0ms (0.6%)

prune163.0ms (1.5%)

localize14.0ms (0.1%)

rewrite330.0ms (3%)

series1.2s (10.5%)

simplify93.0ms (0.8%)

prune328.0ms (3%)

localize16.0ms (0.1%)

rewrite348.0ms (3.2%)

series3.1s (27.8%)

simplify85.0ms (0.8%)

prune483.0ms (4.4%)

regimes471.0ms (4.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (11.1%)

Profiling