Details

analyze1.0s (12.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	65×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify193.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	438	10
1	438	10

prune7.0ms (0.1%)

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

0.1b

Counts

2 → 2

Compiler

Compiled 23 to 22 computations (4.3% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(-.f64 (.f64 x y) (.f64 z y))
4.1b	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_8625`
4×	`add-cube-cbrt_binary64_8638` `add-log-exp_binary64_8642` `add-exp-log_binary64_8641` `associate-l_binary64_8544` `*-un-lft-identity_binary64_8603` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664`
3×	`associate-r_binary64_8543`
2×	`flip3--_binary64_8607` `associate-*l/_binary64_8546` `flip--_binary64_8578` `distribute-rgt-out--_binary64_8557`
1×	`cbrt-unprod_binary64_8636` `diff-log_binary64_8695` `*-commutative_binary64_8534` `cancel-sign-sub-inv_binary64_8569` `prod-exp_binary64_8652` `sub-neg_binary64_8596` `pow-prod-down_binary64_8674` `unswap-sqr_binary64_8571`

Counts

2 → 34

Calls

2 calls:

15.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
4.0ms	(-.f64 (.f64 x y) (.f64 z y))

series120.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

79.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z y)) t)
41.0ms	(-.f64 (.f64 x y) (.f64 z y))

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5120	477

prune52.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	31	9	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	31	11	42

Error

0.0b

Counts

42 → 11

Compiler

Compiled 667 to 227 computations (66% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
6.5b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
6.5b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
6.5b	(cbrt.f64 (*.f64 y (-.f64 x z)))

rewrite60.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64_8635`
46×	`associate-*r/_binary64_8545`
30×	`flip3--_binary64_8607` `flip--_binary64_8578`
28×	`frac-times_binary64_8613`
16×	`add-exp-log_binary64_8641` `pow1_binary64_8664`
14×	`associate-*l/_binary64_8546`
10×	`add-cbrt-cube_binary64_8639`
9×	`cbrt-prod_binary64_8634`
8×	`cbrt-unprod_binary64_8636` `prod-exp_binary64_8652` `pow-prod-down_binary64_8674`
6×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625` `*-un-lft-identity_binary64_8603`
4×	`add-log-exp_binary64_8642`
3×	`pow1/3_binary64_8685`
2×	`distribute-rgt-out--_binary64_8557`
1×	`associate-l_binary64_8544` `-commutative_binary64_8534` `associate-r*_binary64_8543`

Counts

4 → 87

Calls

4 calls:

17.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
9.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
7.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

series1.0s (13.4%)

Counts

4 → 12

Calls

4 calls:

442.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))) (.f64 t (cbrt.f64 (.f64 y (-.f64 x z)))))
224.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
192.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
185.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))

simplify110.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4993	2945
1	4993	2945

prune163.0ms (2.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	97	13	110

Error

0.0b

Counts

110 → 13

Compiler

Compiled 3523 to 755 computations (78.6% saved)

localize35.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.8b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 x z)))) (.f64 t (cbrt.f64 (*.f64 y (-.f64 x z)))))
6.5b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
6.5b	(cbrt.f64 (*.f64 y (-.f64 x z)))

rewrite77.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`associate-*r/_binary64_8545`
58×	`cbrt-div_binary64_8635`
29×	`flip3--_binary64_8607` `flip--_binary64_8578`
28×	`frac-times_binary64_8613`
25×	`add-exp-log_binary64_8641` `pow1_binary64_8664`
15×	`cbrt-unprod_binary64_8636` `prod-exp_binary64_8652` `pow-prod-down_binary64_8674`
14×	`add-cbrt-cube_binary64_8639` `associate-*l/_binary64_8546`
8×	`cbrt-prod_binary64_8634`
6×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625` `*-un-lft-identity_binary64_8603`
4×	`add-log-exp_binary64_8642`
3×	`pow1/3_binary64_8685`
1×	`associate-l_binary64_8544` `-commutative_binary64_8534` `associate-r*_binary64_8543` `distribute-rgt-out--_binary64_8557`

Counts

4 → 90

Calls

4 calls:

35.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 x z)))) (.f64 t (cbrt.f64 (*.f64 y (-.f64 x z)))))
9.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
7.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
2.0ms	(cbrt.f64 y)

series1.1s (14%)

Counts

4 → 12

Calls

4 calls:

623.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x y) (.f64 z y))) (.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 x z)))) (.f64 t (cbrt.f64 (*.f64 y (-.f64 x z)))))
190.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
177.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
99.0ms	(cbrt.f64 y)

simplify117.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4973	3449
1	4973	3449

prune168.0ms (2.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	1	9	10
Picked	1	0	1
Done	0	2	2
Total	102	13	115

Error

0.0b

Counts

115 → 13

Compiler

Compiled 3717 to 808 computations (78.3% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x z))
0.5b	(cbrt.f64 y)
6.5b	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
6.5b	(cbrt.f64 (*.f64 y (-.f64 x z)))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`cbrt-prod_binary64_8634`
9×	`add-sqr-sqrt_binary64_8625` `*-un-lft-identity_binary64_8603`
7×	`add-cube-cbrt_binary64_8638`
6×	`cbrt-div_binary64_8635`
4×	`pow1/3_binary64_8685` `add-log-exp_binary64_8642` `add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639` `pow1_binary64_8664`
3×	`flip3--_binary64_8607` `flip--_binary64_8578`
2×	`associate-*r/_binary64_8545`
1×	`difference-of-squares_binary64_8572` `distribute-lft-out--_binary64_8555` `distribute-rgt-out--_binary64_8557`

Counts

4 → 51

Calls

4 calls:

5.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
3.0ms	(cbrt.f64 (-.f64 x z))
1.0ms	(cbrt.f64 y)

series662.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt.f64 (*.f64 y (-.f64 x z)))
183.0ms	(cbrt.f64 (-.f64 (.f64 x y) (.f64 z y)))
171.0ms	(cbrt.f64 (-.f64 x z))
103.0ms	(cbrt.f64 y)

simplify154.0ms (2%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4922	791
1	4922	791

prune68.0ms (0.9%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	63	13	76

Error

0.0b

Counts

76 → 13

Compiler

Compiled 1882 to 344 computations (81.7% saved)

regimes757.0ms (9.7%)

Accuracy

Total 1.4b remaining (98.1%)

Threshold costs 0b (0%)

Compiler

Compiled 4514 to 2848 computations (36.9% saved)

bsearch3.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	55	55
1	55	55

end0.0ms (0%)

sample1.7s (21.3%)

Algorithm

1×

intervals

Results

359.0ms	8000×	body	128	valid
86.0ms	1936×	body	128	invalid

Compiler

Compiled 813 to 503 computations (38.1% saved)

Details

analyze1.0s (12.9%)

sample23.0ms (0.3%)

simplify193.0ms (2.5%)

prune7.0ms (0.1%)

localize13.0ms (0.2%)

rewrite21.0ms (0.3%)

series120.0ms (1.6%)

simplify98.0ms (1.3%)

prune52.0ms (0.7%)

localize29.0ms (0.4%)

rewrite60.0ms (0.8%)

series1.0s (13.4%)

simplify110.0ms (1.4%)

prune163.0ms (2.1%)

localize35.0ms (0.5%)

rewrite77.0ms (1%)

series1.1s (14%)

simplify117.0ms (1.5%)

prune168.0ms (2.2%)

localize27.0ms (0.3%)

rewrite18.0ms (0.2%)

series662.0ms (8.5%)

simplify154.0ms (2%)

prune68.0ms (0.9%)

regimes757.0ms (9.7%)

bsearch3.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.7s (21.3%)

Profiling