Details

analyze288.0ms (11.8%)

Algorithm

1×

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify108.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune4.0ms (0.2%)

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 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_6579`
7×	`*-un-lft-identity_binary64_6557`
6×	`associate-l_binary64_6498`
4×	`add-cbrt-cube_binary64_6593` `add-cube-cbrt_binary64_6592` `pow1_binary64_6618` `add-exp-log_binary64_6595` `add-log-exp_binary64_6596`
3×	`associate-r_binary64_6497`
2×	`associate-*l/_binary64_6500` `difference-of-squares_binary64_6526`
1×	`flip-+_binary64_6531` `*-commutative_binary64_6488` `pow-prod-down_binary64_6628` `flip--_binary64_6532` `sum-log_binary64_6648` `unswap-sqr_binary64_6525` `prod-exp_binary64_6606` `flip3-+_binary64_6560` `+-commutative_binary64_6487` `distribute-lft-out--_binary64_6509` `cbrt-unprod_binary64_6590` `flip3--_binary64_6561`

Counts

2 → 34

Calls

2 calls:

8.0ms	(*.f64 (-.f64 1 x) z)
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

series47.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

27.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
20.0ms	(*.f64 (-.f64 1 x) z)

simplify59.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5022	464

prune30.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Error

0.0b

Counts

42 → 3

Compiler

Compiled 582 to 274 computations (52.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
0.0b	(+.f64 z (*.f64 x (-.f64 y z)))

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_6579` `cancel-sign-sub-inv_binary64_6523`
10×	`*-un-lft-identity_binary64_6557`
8×	`distribute-lft-in_binary64_6506` `add-cube-cbrt_binary64_6592` `associate-+r+_binary64_6489` `distribute-rgt-in_binary64_6507`
5×	`associate-r_binary64_6497`
4×	`add-cbrt-cube_binary64_6593` `pow1_binary64_6618` `sub-neg_binary64_6550` `add-exp-log_binary64_6595` `add-log-exp_binary64_6596`
3×	`associate-l_binary64_6498`
2×	`associate-*r/_binary64_6499`
1×	`flip-+_binary64_6531` `*-commutative_binary64_6488` `pow-prod-down_binary64_6628` `flip--_binary64_6532` `sum-log_binary64_6648` `difference-of-squares_binary64_6526` `unswap-sqr_binary64_6525` `prod-exp_binary64_6606` `flip3-+_binary64_6560` `+-commutative_binary64_6487` `distribute-lft-out--_binary64_6509` `cbrt-unprod_binary64_6590` `flip3--_binary64_6561`

Counts

2 → 49

Calls

2 calls:

7.0ms	(*.f64 x (-.f64 y z))
4.0ms	(+.f64 z (*.f64 x (-.f64 y z)))

series60.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(*.f64 x (-.f64 y z))
28.0ms	(+.f64 z (*.f64 x (-.f64 y z)))

simplify59.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5130	584

prune34.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	55	3	58

Error

0.0b

Counts

58 → 3

Compiler

Compiled 678 to 169 computations (75.1% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 z (/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
2.4b	(-.f64 (.f64 y y) (.f64 z z))
8.3b	(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
18.9b	(/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))

rewrite35.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_6557`
11×	`add-cbrt-cube_binary64_6593` `add-exp-log_binary64_6595`
10×	`add-sqr-sqrt_binary64_6579`
8×	`add-cube-cbrt_binary64_6592` `add-log-exp_binary64_6596`
6×	`pow1_binary64_6618`
4×	`associate-r_binary64_6497` `associate-r/_binary64_6499` `associate-/r_binary64_6501` `times-frac_binary64_6563`
3×	`flip--_binary64_6532` `sub-neg_binary64_6550` `distribute-lft-out_binary64_6508` `associate-l_binary64_6498` `flip3--_binary64_6561` `cancel-sign-sub-inv_binary64_6523`
2×	`flip-+_binary64_6531` `distribute-lft-in_binary64_6506` `div-exp_binary64_6608` `difference-of-squares_binary64_6526` `prod-exp_binary64_6606` `flip3-+_binary64_6560` `distribute-rgt-in_binary64_6507` `cbrt-undiv_binary64_6591` `cbrt-unprod_binary64_6590` `associate-/r/_binary64_6503` `associate-/l/_binary64_6504`
1×	`-commutative_binary64_6488` `pow-prod-down_binary64_6628` `sum-log_binary64_6648` `unswap-sqr_binary64_6525` `div-inv_binary64_6554` `+-commutative_binary64_6487` `diff-log_binary64_6649` `clear-num_binary64_6556` `frac-2neg_binary64_6568` `associate-/l_binary64_6502`

Counts

4 → 77

Calls

4 calls:

10.0ms	(/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))
7.0ms	(+.f64 z (/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
7.0ms	(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))

series226.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z))
58.0ms	(.f64 x (-.f64 (.f64 y y) (*.f64 z z)))
56.0ms	(+.f64 z (/.f64 (.f64 x (-.f64 (.f64 y y) (*.f64 z z))) (+.f64 y z)))
22.0ms	(-.f64 (.f64 y y) (.f64 z z))

simplify68.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5149	1271

prune59.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	89	3	92

Error

Counts

92 → 3

Compiler

Compiled 1599 to 342 computations (78.6% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

18.9b	(/.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (cbrt.f64 (-.f64 (.f64 y y) (.f64 z z))))) (cbrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) (+.f64 y z))
24.8b	(cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
24.8b	(cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
24.8b	(cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

rewrite56.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64_6589`
32×	`associate-*r/_binary64_6499`
30×	`flip--_binary64_6532` `flip3--_binary64_6561`
28×	`frac-times_binary64_6567`
26×	`associate-/l/_binary64_6504`
18×	`add-exp-log_binary64_6595`
14×	`associate-*l/_binary64_6500`
13×	`add-cbrt-cube_binary64_6593` `*-un-lft-identity_binary64_6557`
12×	`cbrt-prod_binary64_6588`
9×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579`
6×	`prod-exp_binary64_6606` `cbrt-unprod_binary64_6590`
4×	`associate-/r*_binary64_6501` `pow1_binary64_6618` `div-exp_binary64_6608` `cbrt-undiv_binary64_6591` `add-log-exp_binary64_6596` `times-frac_binary64_6563`
3×	`pow1/3_binary64_6639` `difference-of-squares_binary64_6526`
2×	`distribute-lft-out_binary64_6508` `associate-/r/_binary64_6503`
1×	`flip-+_binary64_6531` `div-inv_binary64_6554` `flip3-+_binary64_6560` `clear-num_binary64_6556` `frac-2neg_binary64_6568` `associate-/l*_binary64_6502`

Counts

4 → 97

Calls

4 calls:

28.0ms	(/.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (cbrt.f64 (-.f64 (.f64 y y) (.f64 z z))))) (cbrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) (+.f64 y z))
4.0ms	(cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
4.0ms	(cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

series337.0ms (13.8%)

Counts

4 → 12

Calls

4 calls:

93.0ms	(/.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (-.f64 (.f64 y y) (.f64 z z))) (cbrt.f64 (-.f64 (.f64 y y) (.f64 z z))))) (cbrt.f64 (-.f64 (.f64 y y) (*.f64 z z)))) (+.f64 y z))
86.0ms	(cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
82.0ms	(cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
76.0ms	(cbrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

simplify73.0ms (3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5005	2637

prune129.0ms (5.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Error

Counts

112 → 3

Compiler

Compiled 4551 to 1052 computations (76.9% saved)

regimes79.0ms (3.3%)

Accuracy

Total 0.0b remaining (88.4%)

Threshold costs 0.0b (88.4%)

Compiler

Compiled 776 to 486 computations (37.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample602.0ms (24.7%)

Algorithm

1×

intervals

Results

226.0ms	8000×	body	128	valid
21.0ms	660×	body	128	invalid

Compiler

Compiled 207 to 133 computations (35.7% saved)

Details

analyze288.0ms (11.8%)

sample15.0ms (0.6%)

simplify108.0ms (4.4%)

prune4.0ms (0.2%)

localize11.0ms (0.4%)

rewrite14.0ms (0.6%)

series47.0ms (1.9%)

simplify59.0ms (2.4%)

prune30.0ms (1.2%)

localize5.0ms (0.2%)

rewrite15.0ms (0.6%)

series60.0ms (2.5%)

simplify59.0ms (2.4%)

prune34.0ms (1.4%)

localize9.0ms (0.4%)

rewrite35.0ms (1.4%)

series226.0ms (9.3%)

simplify68.0ms (2.8%)

prune59.0ms (2.4%)

localize13.0ms (0.5%)

rewrite56.0ms (2.3%)

series337.0ms (13.8%)

simplify73.0ms (3%)

prune129.0ms (5.3%)

regimes79.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample602.0ms (24.7%)

Profiling