Details

analyze428.0ms (17.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
0	3	3
1	3	3

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)

sample18.0ms (0.7%)

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)

simplify20.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune6.0ms (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)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite42.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 49

Calls

2 calls:

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

Compiler

Compiled 682 to 192 computations (71.8% saved)

series225.0ms (9%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

111.0ms	(+.f64 z (*.f64 x (-.f64 y z)))
97.0ms	(*.f64 x (-.f64 y z))

Compiler

Compiled 618 to 364 computations (41.1% saved)

simplify67.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5339	764

prune45.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Error

Counts

84 → 3

Compiler

Compiled 826 to 173 computations (79.1% saved)

localize6.0ms (0.2%)

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)

rewrite40.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 34

Calls

2 calls:

7.0ms	(*.f64 (-.f64 1 x) z)
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

Compiler

Compiled 571 to 316 computations (44.7% saved)

series182.0ms (7.3%)

Error

Counts

2 → 27

Calls

2 calls:

120.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
51.0ms	(*.f64 (-.f64 1 x) z)

Compiler

Compiled 529 to 326 computations (38.4% saved)

simplify70.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5458	610

prune32.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	61	3	64

Error

Counts

64 → 3

Compiler

Compiled 680 to 203 computations (70.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 z (.f64 (.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z))))
0.1b	(*.f64 x (sqrt.f64 (-.f64 y z)))
0.2b	(.f64 (.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)))

rewrite81.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_6579` `associate-r_binary64_6497`
14×	`sqrt-div_binary64_6574`
12×	`*-un-lft-identity_binary64_6557`
11×	`sqrt-prod_binary64_6573`
10×	`pow1_binary64_6618` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `associate-*r/_binary64_6499`
8×	`add-cube-cbrt_binary64_6592`
7×	`flip3--_binary64_6561` `flip--_binary64_6532`
5×	`add-log-exp_binary64_6596`
4×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `frac-times_binary64_6567` `associate-l_binary64_6498`
2×	`associate-l/_binary64_6500` `difference-of-squares_binary64_6526` `distribute-lft-out--_binary64_6509` `-commutative_binary64_6488` `unswap-sqr_binary64_6525`
1×	`sum-log_binary64_6648` `flip3-+_binary64_6560` `flip-+_binary64_6531` `+-commutative_binary64_6487`

Counts

3 → 68

Calls

3 calls:

13.0ms	(.f64 (.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)))
10.0ms	(*.f64 x (sqrt.f64 (-.f64 y z)))
3.0ms	(+.f64 z (.f64 (.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z))))

Compiler

Compiled 1578 to 318 computations (79.8% saved)

series326.0ms (13.1%)

Error

Counts

3 → 42

Calls

3 calls:

123.0ms	(+.f64 z (.f64 (.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z))))
97.0ms	(*.f64 x (sqrt.f64 (-.f64 y z)))
87.0ms	(.f64 (.f64 x (sqrt.f64 (-.f64 y z))) (sqrt.f64 (-.f64 y z)))

Compiler

Compiled 1142 to 689 computations (39.7% saved)

simplify93.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4929	1323
1	4929	1323

prune61.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Error

Counts

113 → 3

Compiler

Compiled 1522 to 310 computations (79.6% saved)

regimes79.0ms (3.2%)

Accuracy

Total 0.0b remaining (61.5%)

Threshold costs 0.0b (61.5%)

Compiler

Compiled 352 to 354 computations (-0.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample658.0ms (26.4%)

Algorithm

1×

intervals

Results

221.0ms	8000×	body	128	valid
18.0ms	696×	body	128	invalid

Compiler

Compiled 99 to 98 computations (1% saved)

Details

analyze428.0ms (17.2%)

sample18.0ms (0.7%)

simplify20.0ms (0.8%)

prune6.0ms (0.2%)

localize5.0ms (0.2%)

rewrite42.0ms (1.7%)

series225.0ms (9%)

simplify67.0ms (2.7%)

prune45.0ms (1.8%)

localize6.0ms (0.2%)

rewrite40.0ms (1.6%)

series182.0ms (7.3%)

simplify70.0ms (2.8%)

prune32.0ms (1.3%)

localize7.0ms (0.3%)

rewrite81.0ms (3.3%)

series326.0ms (13.1%)

simplify93.0ms (3.7%)

prune61.0ms (2.5%)

regimes79.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample658.0ms (26.4%)

Profiling