Details

analyze429.0ms (15.8%)

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
0%	99.9%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	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
0.0ms	18×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify19.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune3.0ms (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

0.0b

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

rewrite46.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_25334` `cancel-sign-sub-inv_binary64_25278`
10×	`*-un-lft-identity_binary64_25312`
8×	`add-cube-cbrt_binary64_25347` `distribute-rgt-in_binary64_25262` `distribute-lft-in_binary64_25261` `associate-+r+_binary64_25244`
5×	`associate-r_binary64_25252`
4×	`pow1_binary64_25373` `add-exp-log_binary64_25350` `add-log-exp_binary64_25351` `add-cbrt-cube_binary64_25348` `sub-neg_binary64_25305`
3×	`associate-l_binary64_25253`
2×	`associate-*r/_binary64_25254`
1×	`pow-prod-down_binary64_25383` `prod-exp_binary64_25361` `cbrt-unprod_binary64_25345` `unswap-sqr_binary64_25280` `flip3--_binary64_25316` `flip--_binary64_25287` `difference-of-squares_binary64_25281` `distribute-lft-out--_binary64_25264` `*-commutative_binary64_25243` `sum-log_binary64_25403` `flip3-+_binary64_25315` `flip-+_binary64_25286` `+-commutative_binary64_25242`

Counts

2 → 49

Calls

2 calls:

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

Compiler

Compiled 682 to 192 computations (71.8% saved)

series234.0ms (8.6%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

120.0ms	(+.f64 y (*.f64 x (-.f64 z y)))
96.0ms	(*.f64 x (-.f64 z y))

Compiler

Compiled 618 to 363 computations (41.3% saved)

simplify81.0ms (3%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4912	764
1	4912	764

prune46.0ms (1.7%)

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 831 to 174 computations (79.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite44.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64_25334`
7×	`*-un-lft-identity_binary64_25312`
6×	`associate-l_binary64_25253`
4×	`add-log-exp_binary64_25351` `pow1_binary64_25373` `add-exp-log_binary64_25350` `add-cbrt-cube_binary64_25348` `add-cube-cbrt_binary64_25347`
3×	`associate-r_binary64_25252`
2×	`associate-*l/_binary64_25255` `difference-of-squares_binary64_25281`
1×	`sum-log_binary64_25403` `flip3-+_binary64_25315` `flip-+_binary64_25286` `+-commutative_binary64_25242` `pow-prod-down_binary64_25383` `prod-exp_binary64_25361` `cbrt-unprod_binary64_25345` `unswap-sqr_binary64_25280` `flip3--_binary64_25316` `flip--_binary64_25287` `distribute-lft-out--_binary64_25264` `*-commutative_binary64_25243`

Counts

2 → 34

Calls

2 calls:

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

Compiler

Compiled 571 to 316 computations (44.7% saved)

series186.0ms (6.8%)

Error

Counts

2 → 27

Calls

2 calls:

117.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
57.0ms	(*.f64 (-.f64 1 x) y)

Compiler

Compiled 529 to 325 computations (38.6% saved)

simplify67.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5615	606

prune34.0ms (1.2%)

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 683 to 197 computations (71.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite120.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`cbrt-prod_binary64_25343`
37×	`add-sqr-sqrt_binary64_25334`
35×	`*-un-lft-identity_binary64_25312`
18×	`cbrt-div_binary64_25344`
15×	`add-cube-cbrt_binary64_25347`
11×	`pow1_binary64_25373`
10×	`swap-sqr_binary64_25279`
9×	`pow1/3_binary64_25394` `flip3--_binary64_25316` `flip--_binary64_25287` `distribute-lft-out--_binary64_25264`
8×	`associate-l_binary64_25253` `associate-r_binary64_25252`
7×	`difference-of-squares_binary64_25281`
6×	`add-exp-log_binary64_25350`
4×	`add-log-exp_binary64_25351` `add-cbrt-cube_binary64_25348` `frac-times_binary64_25322` `unswap-sqr_binary64_25280`
2×	`pow-prod-down_binary64_25383` `pow-prod-up_binary64_25382` `pow-sqr_binary64_25285` `associate-l/_binary64_25255` `associate-r/_binary64_25254`
1×	`pow2_binary64_25393` `pow-plus_binary64_25375` `prod-exp_binary64_25361` `cbrt-unprod_binary64_25345` `*-commutative_binary64_25243`

Counts

4 → 101

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))
3.0ms	(cbrt.f64 (-.f64 z y))
3.0ms	(cbrt.f64 (-.f64 z y))
3.0ms	(cbrt.f64 (-.f64 z y))

Compiler

Compiled 2624 to 588 computations (77.6% saved)

series374.0ms (13.7%)

Error

Counts

4 → 36

Calls

4 calls:

130.0ms	(*.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))
72.0ms	(cbrt.f64 (-.f64 z y))
71.0ms	(cbrt.f64 (-.f64 z y))
68.0ms	(cbrt.f64 (-.f64 z y))

Compiler

Compiled 2463 to 1695 computations (31.2% saved)

simplify92.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4911	1815
1	4911	1815

prune108.0ms (4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	137	3	140

Error

Counts

140 → 3

Compiler

Compiled 3049 to 801 computations (73.7% saved)

regimes90.0ms (3.3%)

Accuracy

Total 0.0b remaining (74.7%)

Threshold costs 0.0b (74.7%)

Compiler

Compiled 472 to 422 computations (10.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample706.0ms (26%)

Algorithm

1×

intervals

Results

235.0ms	8000×	body	128	valid
17.0ms	636×	body	128	invalid

Compiler

Compiled 136 to 121 computations (11% saved)

Details

analyze429.0ms (15.8%)

sample18.0ms (0.7%)

simplify19.0ms (0.7%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite46.0ms (1.7%)

series234.0ms (8.6%)

simplify81.0ms (3%)

prune46.0ms (1.7%)

localize6.0ms (0.2%)

rewrite44.0ms (1.6%)

series186.0ms (6.8%)

simplify67.0ms (2.5%)

prune34.0ms (1.2%)

localize9.0ms (0.3%)

rewrite120.0ms (4.4%)

series374.0ms (13.7%)

simplify92.0ms (3.4%)

prune108.0ms (4%)

regimes90.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample706.0ms (26%)

Profiling