Details

analyze1.6s (23.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5034	496
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.7%	98%	0.3%	13
2.5%	97.2%	0.3%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample39.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
8.0ms	139×	body	128	invalid

Compiler

Compiled 43 to 45 computations (-4.7% saved)

simplify111.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4954	31
1	4954	31

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 (+.f64 y t) 2) b)
0.0b	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
0.0b	(*.f64 (-.f64 y 1) z)
0.0b	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))

rewrite52.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`associate-*l/_binary64_362`
23×	`flip3--_binary64_423` `flip--_binary64_394`
18×	`add-log-exp_binary64_458` `add-sqr-sqrt_binary64_441`
16×	`*-un-lft-identity_binary64_419`
13×	`associate-l_binary64_360`
12×	`frac-add_binary64_427` `frac-sub_binary64_428`
8×	`add-cube-cbrt_binary64_454` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
6×	`associate-r_binary64_359` `diff-log_binary64_511`
4×	`associate--l+_binary64_356` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385` `associate-+l+_binary64_352`
3×	`difference-of-squares_binary64_388` `sum-log_binary64_510` `distribute-lft-out--_binary64_371`
2×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
1×	`flip3-+_binary64_422` `difference-of-sqr-1_binary64_389` `associate-+l-_binary64_354` `distribute-lft-out_binary64_370` `flip-+_binary64_393` `associate--l-_binary64_357` `+-commutative_binary64_349`

Counts

4 → 97

Calls

4 calls:

15.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
10.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
8.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
7.0ms	(*.f64 (-.f64 y 1) z)

series285.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

162.0ms	(+.f64 (-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a)) (*.f64 (-.f64 (+.f64 y t) 2) b))
80.0ms	(-.f64 (-.f64 x (.f64 (-.f64 y 1) z)) (.f64 (-.f64 t 1) a))
25.0ms	(*.f64 (-.f64 (+.f64 y t) 2) b)
18.0ms	(*.f64 (-.f64 y 1) z)

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4950	4032
1	4950	4032

prune185.0ms (2.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	5	110

Error

0.0b

Counts

110 → 5

Compiler

Compiled 4274 to 2508 computations (41.3% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 y 1) z)) (cbrt.f64 (*.f64 (-.f64 y 1) z)))
0.6b	(cbrt.f64 (*.f64 (-.f64 y 1) z))
0.6b	(cbrt.f64 (*.f64 (-.f64 y 1) z))
0.6b	(cbrt.f64 (*.f64 (-.f64 y 1) z))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*l/_binary64_362`
18×	`cbrt-div_binary64_451`
11×	`pow1_binary64_480`
10×	`add-sqr-sqrt_binary64_441`
9×	`pow1/3_binary64_501` `flip3--_binary64_423` `flip--_binary64_394`
8×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
7×	`cbrt-prod_binary64_450`
6×	`add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `associate-r_binary64_359` `frac-times_binary64_429` `swap-sqr_binary64_386` `associate-l_binary64_360` `add-cbrt-cube_binary64_455`
2×	`pow-prod-down_binary64_490` `associate-*r/_binary64_361` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 y 1) z)) (cbrt.f64 (*.f64 (-.f64 y 1) z)))
5.0ms	(cbrt.f64 (*.f64 (-.f64 y 1) z))
5.0ms	(cbrt.f64 (*.f64 (-.f64 y 1) z))
5.0ms	(cbrt.f64 (*.f64 (-.f64 y 1) z))

series255.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

79.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 y 1) z)) (cbrt.f64 (*.f64 (-.f64 y 1) z)))
64.0ms	(cbrt.f64 (*.f64 (-.f64 y 1) z))
56.0ms	(cbrt.f64 (*.f64 (-.f64 y 1) z))
55.0ms	(cbrt.f64 (*.f64 (-.f64 y 1) z))

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5331	1473

prune163.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	84	5	89

Error

0.0b

Counts

89 → 5

Compiler

Compiled 3654 to 2405 computations (34.2% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
0.6b	(cbrt.f64 b)
0.6b	(cbrt.f64 b)
0.6b	(cbrt.f64 b)

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_450`
23×	`add-sqr-sqrt_binary64_441`
15×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
11×	`pow1_binary64_480`
9×	`pow1/3_binary64_501`
6×	`associate-r_binary64_359` `swap-sqr_binary64_386` `associate-l_binary64_360` `add-exp-log_binary64_457`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `add-cbrt-cube_binary64_455`
2×	`pow-prod-down_binary64_490` `pow-sqr_binary64_392` `pow-prod-up_binary64_489`
1×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-plus_binary64_482` `*-commutative_binary64_350` `pow2_binary64_500`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)

series350.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

98.0ms	(*.f64 (cbrt.f64 b) (cbrt.f64 b))
92.0ms	(cbrt.f64 b)
81.0ms	(cbrt.f64 b)
78.0ms	(cbrt.f64 b)

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune110.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Error

0.0b

Counts

90 → 5

Compiler

Compiled 2750 to 1448 computations (47.3% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 y t) 2)) (cbrt.f64 (-.f64 (+.f64 y t) 2))) (*.f64 b (cbrt.f64 (-.f64 (+.f64 y t) 2))))
0.7b	(cbrt.f64 (-.f64 (+.f64 y t) 2))
0.7b	(cbrt.f64 (-.f64 (+.f64 y t) 2))
0.7b	(cbrt.f64 (-.f64 (+.f64 y t) 2))

rewrite66.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64_451`
30×	`flip3--_binary64_423` `flip--_binary64_394`
28×	`frac-times_binary64_429`
26×	`associate-*r/_binary64_361`
22×	`*-un-lft-identity_binary64_419`
18×	`cbrt-prod_binary64_450`
16×	`add-exp-log_binary64_457` `pow1_binary64_480`
14×	`associate-*l/_binary64_362`
13×	`add-sqr-sqrt_binary64_441`
10×	`add-cbrt-cube_binary64_455`
8×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
7×	`add-cube-cbrt_binary64_454`
6×	`distribute-lft-out--_binary64_371`
4×	`add-log-exp_binary64_458`
3×	`pow1/3_binary64_501` `difference-of-squares_binary64_388` `distribute-lft-out_binary64_370`
1×	`associate-r_binary64_359` `-commutative_binary64_350` `associate-l*_binary64_360`

Counts

4 → 96

Calls

4 calls:

29.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 y t) 2)) (cbrt.f64 (-.f64 (+.f64 y t) 2))) (*.f64 b (cbrt.f64 (-.f64 (+.f64 y t) 2))))
8.0ms	(cbrt.f64 (-.f64 (+.f64 y t) 2))
7.0ms	(cbrt.f64 (-.f64 (+.f64 y t) 2))
7.0ms	(cbrt.f64 (-.f64 (+.f64 y t) 2))

series313.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt.f64 (-.f64 (+.f64 y t) 2))
85.0ms	(cbrt.f64 (-.f64 (+.f64 y t) 2))
79.0ms	(cbrt.f64 (-.f64 (+.f64 y t) 2))
61.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 y t) 2)) (cbrt.f64 (-.f64 (+.f64 y t) 2))) (*.f64 b (cbrt.f64 (-.f64 (+.f64 y t) 2))))

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4917	2869
1	4917	2869

prune214.0ms (3.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	108	5	113

Error

0.0b

Counts

113 → 5

Compiler

Compiled 4711 to 2780 computations (41% saved)

regimes520.0ms (7.8%)

Accuracy

Total 0.0b remaining (67%)

Threshold costs 0.0b (67%)

Compiler

Compiled 8846 to 6501 computations (26.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	146	31
1	146	31

end0.0ms (0%)

sample2.0s (30.2%)

Algorithm

1×

intervals

Results

456.0ms	7996×	body	128	valid
263.0ms	4457×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 1299 to 958 computations (26.3% saved)

Details

analyze1.6s (23.6%)

sample39.0ms (0.6%)

simplify111.0ms (1.7%)

prune3.0ms (0%)

localize18.0ms (0.3%)

rewrite52.0ms (0.8%)

series285.0ms (4.3%)

simplify80.0ms (1.2%)

prune185.0ms (2.8%)

localize19.0ms (0.3%)

rewrite33.0ms (0.5%)

series255.0ms (3.8%)

simplify53.0ms (0.8%)

prune163.0ms (2.5%)

localize18.0ms (0.3%)

rewrite17.0ms (0.3%)

series350.0ms (5.3%)

simplify59.0ms (0.9%)

prune110.0ms (1.7%)

localize18.0ms (0.3%)

rewrite66.0ms (1%)

series313.0ms (4.7%)

simplify77.0ms (1.2%)

prune214.0ms (3.2%)

regimes520.0ms (7.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.0s (30.2%)

Profiling