Details

analyze572.0ms (25.6%)

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
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample20.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	45×	body	80	invalid

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune7.0ms (0.3%)

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

Merged error: 0.0b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

series13.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

13.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

simplify86.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4869	141
1	4869	141

prune26.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0b

Counts

15 → 3

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
1.8b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.8b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite29.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
5.0ms	(+.f64 (.f64 x y) (.f64 z t))
4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series77.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
25.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
12.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (sqrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
12.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify38.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5517	1320

prune103.0ms (4.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

113 → 3

localize16.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
1.5b	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
4.9b	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
35.1b	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))

rewrite48.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `sub-neg_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`distribute-lft-out_binary64` `sum-cubes_binary64` `associate-/l*_binary64`
4×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64` `associate-+r+_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `associate-l*_binary64` `prod-exp_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `+-commutative_binary64` `sum-log_binary64`
1×	`flip3--_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

18.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))
10.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
9.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
8.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))

series176.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))
60.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
33.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
19.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))

simplify43.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5459	2714

prune122.0ms (5.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes360.0ms (16.1%)

Accuracy

Total 0.0b remaining (21.8%)

Threshold costs 0.0b (21.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms (0%)

sample474.0ms (21.2%)

Algorithm

1×

intervals

Results

214.0ms	8000×	body	80	valid
35.0ms	1271×	body	80	invalid

Details

analyze572.0ms (25.6%)

sample20.0ms (0.9%)

simplify6.0ms (0.3%)

prune7.0ms (0.3%)

localize6.0ms (0.3%)

rewrite5.0ms (0.2%)

series13.0ms (0.6%)

simplify86.0ms (3.8%)

prune26.0ms (1.1%)

localize8.0ms (0.4%)

rewrite29.0ms (1.3%)

series77.0ms (3.4%)

simplify38.0ms (1.7%)

prune103.0ms (4.6%)

localize16.0ms (0.7%)

rewrite48.0ms (2.2%)

series176.0ms (7.9%)

simplify43.0ms (1.9%)

prune122.0ms (5.5%)

regimes360.0ms (16.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample474.0ms (21.2%)

Profiling