Details

analyze255.0ms (10.7%)

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify15.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	285	7
1	285	7

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

Merged error: 4.9b

Counts

2 → 1

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

4.6b	(.f64 x (-.f64 1.0 (.f64 y z)))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 1.0 (*.f64 y z)))

series13.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

13.0ms

(*.f64 x (-.f64 1.0 (*.f64 y z)))

simplify44.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4953	214
1	4953	214

prune58.0ms (2.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	17	8	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	9	26

Merged error: 4.7b

Counts

26 → 9

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 x (.f64 (cbrt.f64 (-.f64 1.0 (.f64 y z))) (cbrt.f64 (-.f64 1.0 (.f64 y z)))))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

rewrite25.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64`
10×	`associate-*r/_binary64`
9×	`pow1_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64` `flip--_binary64` `cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`associate-*l/_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 66

Calls

4 calls:

12.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1.0 (.f64 y z))) (cbrt.f64 (-.f64 1.0 (.f64 y z)))))
4.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

series176.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
46.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
45.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
36.0ms	(.f64 x (.f64 (cbrt.f64 (-.f64 1.0 (.f64 y z))) (cbrt.f64 (-.f64 1.0 (.f64 y z)))))

simplify53.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4959	1014
1	4959	1014

prune129.0ms (5.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	79	8	87

Merged error: 4.7b

Counts

87 → 8

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

series190.0ms (8%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
48.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
47.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
46.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

simplify50.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4997	820
1	4997	820

prune132.0ms (5.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	63	9	72

Merged error: 4.7b

Counts

72 → 9

localize19.0ms (0.8%)

Local error

Found 4 expressions with local error:

4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
4.7b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

series185.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
47.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
46.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
45.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

simplify46.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4997	820
1	4997	820

prune150.0ms (6.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	64	9	73

Merged error: 4.7b

Counts

73 → 9

regimes376.0ms (15.8%)

Accuracy

Total 0.1b remaining (4.1%)

Threshold costs 0.1b (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms (0%)

sample385.0ms (16.2%)

Algorithm

1×

intervals

Results

203.0ms	8000×	body	80	valid
14.0ms	580×	body	80	invalid

Details

analyze255.0ms (10.7%)

sample15.0ms (0.6%)

simplify15.0ms (0.6%)

prune6.0ms (0.2%)

localize5.0ms (0.2%)

rewrite7.0ms (0.3%)

series13.0ms (0.5%)

simplify44.0ms (1.8%)

prune58.0ms (2.4%)

localize9.0ms (0.4%)

rewrite25.0ms (1%)

series176.0ms (7.4%)

simplify53.0ms (2.2%)

prune129.0ms (5.4%)

localize14.0ms (0.6%)

rewrite13.0ms (0.5%)

series190.0ms (8%)

simplify50.0ms (2.1%)

prune132.0ms (5.5%)

localize19.0ms (0.8%)

rewrite15.0ms (0.6%)

series185.0ms (7.8%)

simplify46.0ms (1.9%)

prune150.0ms (6.3%)

regimes376.0ms (15.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample385.0ms (16.2%)

Profiling