Details

analyze631.0ms (21.4%)

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
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

sample21.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	49×	body	80	invalid

simplify42.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.9b

Counts

2 → 1

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
5.2b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

12.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
9.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

series31.0ms (1%)

Counts

2 → 6

Calls

2 calls:

17.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
14.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

simplify48.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4963	583
1	4963	583

prune90.0ms (3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	52	7	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	8	60

Merged error: 0.0b

Counts

60 → 8

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 (-.f64 z t))
0.7b	(cbrt.f64 (-.f64 z t))
1.3b	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (-.f64 z t)))
4.2b	(.f64 (/.f64 x y) (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))

rewrite57.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

136×	`cbrt-div_binary64`
98×	`frac-times_binary64`
68×	`flip3--_binary64` `flip--_binary64`
50×	`associate-*r/_binary64`
37×	`associate-*l/_binary64`
34×	`add-exp-log_binary64`
24×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cbrt-cube_binary64`
18×	`pow1_binary64`
17×	`cbrt-unprod_binary64` `prod-exp_binary64`
15×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
14×	`associate-l_binary64`
10×	`times-frac_binary64`
9×	`pow-prod-down_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`pow1/3_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`div-inv_binary64`

Counts

4 → 164

Calls

4 calls:

22.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (-.f64 z t)))
16.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))
3.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))

series121.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))
32.0ms	(cbrt.f64 (-.f64 z t))
30.0ms	(cbrt.f64 (-.f64 z t))
18.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (-.f64 z t)))

simplify55.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5197	3402

prune194.0ms (6.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	176	8	184

Merged error: 0.0b

Counts

184 → 8

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
0.0b	(/.f64 (-.f64 z t) y)
7.7b	(*.f64 x (/.f64 (-.f64 z t) y))

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

10.0ms	(*.f64 x (/.f64 (-.f64 z t) y))
8.0ms	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
6.0ms	(/.f64 (-.f64 z t) y)

series38.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

17.0ms	(*.f64 x (/.f64 (-.f64 z t) y))
14.0ms	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
8.0ms	(/.f64 (-.f64 z t) y)

simplify56.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5886	889

prune103.0ms (3.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x (/.f64 1 (/.f64 y (-.f64 z t)))) t)
0.0b	(/.f64 y (-.f64 z t))
0.5b	(/.f64 1 (/.f64 y (-.f64 z t)))
7.7b	(*.f64 x (/.f64 1 (/.f64 y (-.f64 z t))))

rewrite64.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

252×	`times-frac_binary64`
186×	`add-sqr-sqrt_binary64`
174×	`*-un-lft-identity_binary64`
122×	`add-cube-cbrt_binary64`
68×	`associate-r_binary64`
36×	`add-exp-log_binary64`
26×	`associate-/r*_binary64`
25×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
20×	`add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64`
5×	`unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`cbrt-unprod_binary64` `associate-l_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `inv-pow_binary64` `un-div-inv_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 253

Calls

4 calls:

21.0ms	(*.f64 x (/.f64 1 (/.f64 y (-.f64 z t))))
14.0ms	(+.f64 (*.f64 x (/.f64 1 (/.f64 y (-.f64 z t)))) t)
9.0ms	(/.f64 1 (/.f64 y (-.f64 z t)))
6.0ms	(/.f64 y (-.f64 z t))

series55.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(*.f64 x (/.f64 1 (/.f64 y (-.f64 z t))))
14.0ms	(+.f64 (*.f64 x (/.f64 1 (/.f64 y (-.f64 z t)))) t)
10.0ms	(/.f64 1 (/.f64 y (-.f64 z t)))
9.0ms	(/.f64 y (-.f64 z t))

simplify59.0ms (2%)

Algorithm

1×	egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4971	2838
1	4971	2838

prune252.0ms (8.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	264	1	265
Fresh	2	2	4
Picked	1	0	1
Done	0	3	3
Total	267	6	273

Merged error: 0.0b

Counts

273 → 6

regimes364.0ms (12.4%)

Accuracy

Total 1.9b remaining (99.5%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	9
1	20	9

end0.0ms (0%)

sample571.0ms (19.4%)

Algorithm

1×

intervals

Results

260.0ms	8000×	body	80	valid
60.0ms	1984×	body	80	invalid

Details

analyze631.0ms (21.4%)

sample21.0ms (0.7%)

simplify42.0ms (1.4%)

prune7.0ms (0.2%)

localize6.0ms (0.2%)

rewrite23.0ms (0.8%)

series31.0ms (1%)

simplify48.0ms (1.6%)

prune90.0ms (3%)

localize10.0ms (0.4%)

rewrite57.0ms (1.9%)

series121.0ms (4.1%)

simplify55.0ms (1.9%)

prune194.0ms (6.6%)

localize7.0ms (0.2%)

rewrite27.0ms (0.9%)

series38.0ms (1.3%)

simplify56.0ms (1.9%)

prune103.0ms (3.5%)

localize10.0ms (0.3%)

rewrite64.0ms (2.2%)

series55.0ms (1.9%)

simplify59.0ms (2%)

prune252.0ms (8.6%)

regimes364.0ms (12.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample571.0ms (19.4%)

Profiling