Details

analyze263.0ms (9.5%)

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
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify115.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4901	11
1	4901	11

prune10.0ms (0.4%)

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: 0.3b

Counts

2 → 2

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.0b	(-.f64 -1 (/.f64 u t1))
0.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite45.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

224×	`times-frac_binary64`
187×	`add-sqr-sqrt_binary64`
177×	`*-un-lft-identity_binary64`
87×	`add-cube-cbrt_binary64`
40×	`difference-of-squares_binary64`
25×	`distribute-lft-out_binary64`
21×	`associate-/l*_binary64`
20×	`distribute-lft-out--_binary64`
18×	`associate-/r/_binary64`
10×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`div-inv_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64`

Counts

3 → 196

Calls

3 calls:

20.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
7.0ms	(-.f64 -1 (/.f64 u t1))
6.0ms	(/.f64 v (+.f64 t1 u))

series31.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

20.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
8.0ms	(/.f64 v (+.f64 t1 u))
4.0ms	(-.f64 -1 (/.f64 u t1))

simplify62.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5013	3730

prune254.0ms (9.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	198	7	205
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	198	9	207

Merged error: 0b

Counts

207 → 9

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 t1 u))
0.0b	(-.f64 -1 (/.f64 u t1))
0.2b	(*.f64 v (/.f64 1 (+.f64 t1 u)))
0.3b	(/.f64 (*.f64 v (/.f64 1 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))

rewrite46.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64`
45×	`*-un-lft-identity_binary64`
35×	`times-frac_binary64`
32×	`add-exp-log_binary64`
24×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
18×	`associate-r_binary64`
11×	`div-exp_binary64`
10×	`associate-/r*_binary64`
8×	`prod-exp_binary64`
7×	`pow1_binary64` `distribute-lft-out_binary64`
6×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `difference-of-squares_binary64`
4×	`cbrt-unprod_binary64` `associate-/l*_binary64`
3×	`1-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `flip--_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 127

Calls

4 calls:

17.0ms	(/.f64 (*.f64 v (/.f64 1 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
11.0ms	(*.f64 v (/.f64 1 (+.f64 t1 u)))
7.0ms	(-.f64 -1 (/.f64 u t1))
6.0ms	(/.f64 1 (+.f64 t1 u))

series36.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(/.f64 (*.f64 v (/.f64 1 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
8.0ms	(*.f64 v (/.f64 1 (+.f64 t1 u)))
5.0ms	(/.f64 1 (+.f64 t1 u))
4.0ms	(-.f64 -1 (/.f64 u t1))

simplify49.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5910	1175

prune153.0ms (5.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	139	9	148

Merged error: 0b

Counts

148 → 9

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 1 (*.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
9.8b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
9.8b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
9.8b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite42.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64` `cbrt-prod_binary64`
15×	`*-un-lft-identity_binary64` `add-exp-log_binary64`
12×	`pow1_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `add-cube-cbrt_binary64` `flip--_binary64` `pow-flip_binary64`
8×	`associate-/r/_binary64`
7×	`add-cbrt-cube_binary64`
6×	`difference-of-squares_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`prod-exp_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `rec-exp_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`associate-/r*_binary64` `cbrt-unprod_binary64` `pow-plus_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `div-inv_binary64` `pow2_binary64`

Counts

4 → 91

Calls

4 calls:

19.0ms	(/.f64 1 (*.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

series248.0ms (9%)

Counts

4 → 12

Calls

4 calls:

99.0ms	(/.f64 1 (*.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
51.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
50.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
48.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

simplify46.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5003	1040

prune160.0ms (5.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	103	9	112

Merged error: 0b

Counts

112 → 9

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.1b	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
9.8b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
9.8b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
9.8b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite48.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64` `cbrt-prod_binary64`
16×	`add-exp-log_binary64`
13×	`*-un-lft-identity_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`add-cbrt-cube_binary64` `associate-/r/_binary64`
7×	`add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `times-frac_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`pow1/3_binary64` `distribute-lft-out--_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64`

Counts

4 → 77

Calls

4 calls:

25.0ms	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

series234.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
51.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
48.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
48.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

simplify50.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4937	1061
1	4937	1061

prune120.0ms (4.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	89	9	98

Merged error: 0b

Counts

98 → 9

regimes253.0ms (9.2%)

Accuracy

Total 1.3b remaining (88.9%)

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	26	11
1	26	11

end0.0ms (0%)

sample432.0ms (15.6%)

Algorithm

1×

intervals

Results

254.0ms	8000×	body	80	valid
7.0ms	221×	body	80	invalid

Details

analyze263.0ms (9.5%)

sample17.0ms (0.6%)

simplify115.0ms (4.2%)

prune10.0ms (0.4%)

localize7.0ms (0.3%)

rewrite45.0ms (1.6%)

series31.0ms (1.1%)

simplify62.0ms (2.2%)

prune254.0ms (9.2%)

localize8.0ms (0.3%)

rewrite46.0ms (1.7%)

series36.0ms (1.3%)

simplify49.0ms (1.8%)

prune153.0ms (5.5%)

localize15.0ms (0.5%)

rewrite42.0ms (1.5%)

series248.0ms (9%)

simplify46.0ms (1.7%)

prune160.0ms (5.8%)

localize15.0ms (0.5%)

rewrite48.0ms (1.7%)

series234.0ms (8.5%)

simplify50.0ms (1.8%)

prune120.0ms (4.3%)

regimes253.0ms (9.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample432.0ms (15.6%)

Profiling