Details

analyze66.0ms

Algorithm

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

sample13.0ms

Algorithm

intervals

Results

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

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	642	11
1	642	11

prune2.0ms

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

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))

rewrite15.0ms

Algorithm

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:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 x (-.f64 y 1.0))
6.0ms	(-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5))

simplify52.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4944	375
1	4944	375

prune46.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

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

localize13.0ms

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)

rewrite12.0ms

Algorithm

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)

series73.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
17.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 x)

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune79.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

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

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

Algorithm

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:

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

series25.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 x (-.f64 y 1.0))
6.0ms	(-.f64 (cbrt.f64 (pow.f64 (.f64 x (-.f64 y 1.0)) 3)) (.f64 y 0.5))
8.0ms	(pow.f64 (*.f64 x (-.f64 y 1.0)) 3)
6.0ms	(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y 1.0)) 3))

simplify38.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5319	775

prune75.0ms

Filtered

57 candidates to 90 candidates (-57.9%)

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

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))

rewrite33.0ms

Algorithm

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:

7.0ms	(*.f64 x (-.f64 y 1.0))
7.0ms	(-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5))
8.0ms	(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))

series31.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 x (-.f64 y 1.0))
6.0ms	(-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5))
13.0ms	(pow.f64 (-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5)) 3)
6.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5)) 3))

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4953	1187
1	4953	1187

prune73.0ms

Filtered

57 candidates to 97 candidates (-70.2%)

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

regimes148.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	11
1	47	11

end0.0ms

sample357.0ms

Algorithm

intervals

Results

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

Details

analyze66.0ms

sample13.0ms

simplify26.0ms

prune2.0ms

localize7.0ms

rewrite15.0ms

series11.0ms

simplify52.0ms

prune46.0ms

localize13.0ms

rewrite12.0ms

series73.0ms

simplify45.0ms

prune79.0ms

localize10.0ms

rewrite28.0ms

series25.0ms

simplify38.0ms

prune75.0ms

localize10.0ms

rewrite33.0ms

series31.0ms

simplify57.0ms

prune73.0ms

regimes148.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample357.0ms

Profiling