Details

analyze90.0ms (5.9%)

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

sample14.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	255×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	80	invalid

simplify27.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	642	11
1	642	11

prune5.0ms (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

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y 1.0))
0.0b	(-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5))

rewrite17.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`sub-neg_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

9.0ms	(*.f64 x (-.f64 y 1.0))
7.0ms	(-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5))

series13.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5))
6.0ms	(*.f64 x (-.f64 y 1.0))

simplify54.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4944	375
1	4944	375

prune58.0ms (3.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0b

Counts

44 → 4

localize11.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series83.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
21.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 x)
19.0ms	(cbrt.f64 x)

simplify47.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune99.0ms (6.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (-.f64 y 1.0))
0.0b	(-.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 y 1.0)) 3)) (.f64 y 0.5))
0.1b	(pow.f64 (*.f64 x (-.f64 y 1.0)) 3)
40.4b	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y 1.0)) 3))

rewrite28.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
5×	`associate-r_binary64`
4×	`flip3--_binary64` `cube-div_binary64` `flip--_binary64`
3×	`pow-unpow_binary64` `sub-neg_binary64` `associate-l_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

8.0ms	(pow.f64 (*.f64 x (-.f64 y 1.0)) 3)
8.0ms	(*.f64 x (-.f64 y 1.0))
7.0ms	(-.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 y 1.0)) 3)) (.f64 y 0.5))
3.0ms	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y 1.0)) 3))

series29.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(pow.f64 (*.f64 x (-.f64 y 1.0)) 3)
7.0ms	(-.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 y 1.0)) 3)) (.f64 y 0.5))
6.0ms	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y 1.0)) 3))
6.0ms	(*.f64 x (-.f64 y 1.0))

simplify40.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5319	775

prune107.0ms (7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Merged error: 0b

Counts

94 → 4

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (-.f64 y 1.0))
0.0b	(-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5))
0.0b	(pow.f64 (-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5)) 3)
37.3b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5)) 3))

rewrite34.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
5×	`sub-neg_binary64` `associate-r_binary64`
4×	`flip3--_binary64` `cube-div_binary64` `flip--_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64`
2×	`cbrt-div_binary64` `associate-*r/_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unpow3_binary64` `associate--l+_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `pow-pow_binary64` `unswap-sqr_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 85

Calls

4 calls:

10.0ms	(pow.f64 (-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5)) 3)
8.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5)) 3))
7.0ms	(-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5))
7.0ms	(*.f64 x (-.f64 y 1.0))

series34.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(pow.f64 (-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5)) 3)
7.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5)) 3))
6.0ms	(-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5))
6.0ms	(*.f64 x (-.f64 y 1.0))

simplify56.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4953	1187
1	4953	1187

prune120.0ms (7.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	97	4	101

Merged error: 0b

Counts

101 → 4

regimes150.0ms (9.9%)

Accuracy

Total 0.0b remaining (21.2%)

Threshold costs 0.0b (21.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	11
1	47	11

end0.0ms (0%)

sample362.0ms (23.8%)

Algorithm

1×

intervals

Results

234.0ms	7998×	body	80	valid
2.0ms	71×	body	80	invalid
0.0ms	2×	body	1280	valid

Details

analyze90.0ms (5.9%)

sample14.0ms (0.9%)

simplify27.0ms (1.8%)

prune5.0ms (0.3%)

localize7.0ms (0.5%)

rewrite17.0ms (1.2%)

series13.0ms (0.8%)

simplify54.0ms (3.5%)

prune58.0ms (3.8%)

localize11.0ms (0.7%)

rewrite11.0ms (0.8%)

series83.0ms (5.5%)

simplify47.0ms (3.1%)

prune99.0ms (6.5%)

localize10.0ms (0.7%)

rewrite28.0ms (1.8%)

series29.0ms (1.9%)

simplify40.0ms (2.6%)

prune107.0ms (7%)

localize10.0ms (0.7%)

rewrite34.0ms (2.2%)

series34.0ms (2.3%)

simplify56.0ms (3.7%)

prune120.0ms (7.9%)

regimes150.0ms (9.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample362.0ms (23.8%)

Profiling