Details

analyze50.0ms

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
59.3%	37.5%	3.2%	7
70.2%	23.4%	6.3%	8
74.1%	17.2%	8.7%	9
79.2%	11.3%	9.5%	10
81%	8.2%	10.8%	11
83.4%	5.6%	11%	12
84.2%	4%	11.8%	13
85.4%	2.8%	11.8%	14

sample10.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	127	5
1	127	5

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 1 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify54.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4977	107
1	4977	107

prune10.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x y) x)
0.0b	(sqrt.f64 (-.f64 (*.f64 x y) x))
0.0b	(sqrt.f64 (-.f64 (*.f64 x y) x))
0.3b	(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

4.0ms	(-.f64 (*.f64 x y) x)
4.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))
4.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))
13.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(-.f64 (*.f64 x y) x)
9.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))
8.0ms	(sqrt.f64 (-.f64 (*.f64 x y) x))
6.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (sqrt.f64 (-.f64 (*.f64 x y) x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5710	972

prune33.0ms

Filtered

65 candidates to 110 candidates (-69.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Merged error: 0.0b

Counts

113 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (fabs.f64 (cbrt.f64 (-.f64 (*.f64 x y) x))))
0.2b	(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (fabs.f64 (cbrt.f64 (-.f64 (.f64 x y) x)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x y) x))))
0.6b	(cbrt.f64 (-.f64 (*.f64 x y) x))
0.6b	(cbrt.f64 (-.f64 (*.f64 x y) x))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

8.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (fabs.f64 (cbrt.f64 (-.f64 (*.f64 x y) x))))
15.0ms	(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (fabs.f64 (cbrt.f64 (-.f64 (.f64 x y) x)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x y) x))))
5.0ms	(cbrt.f64 (-.f64 (*.f64 x y) x))
7.0ms	(cbrt.f64 (-.f64 (*.f64 x y) x))

series83.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (fabs.f64 (cbrt.f64 (-.f64 (*.f64 x y) x))))
29.0ms	(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x y) x)) (fabs.f64 (cbrt.f64 (-.f64 (.f64 x y) x)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x y) x))))
14.0ms	(cbrt.f64 (-.f64 (*.f64 x y) x))
15.0ms	(cbrt.f64 (-.f64 (*.f64 x y) x))

simplify44.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5236	1832

prune47.0ms

Filtered

77 candidates to 94 candidates (-22.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	94	4	98

Merged error: 0.0b

Counts

98 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (*.f64 x y) 3)
4.2b	(-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))
8.9b	(.f64 (.f64 x x) (+.f64 (*.f64 y y) (+.f64 y 1)))
40.7b	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (.f64 (.f64 x x) (+.f64 (.f64 y y) (+.f64 y 1))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64`
24×	`difference-of-squares_binary64`
21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`sqr-pow_binary64`
14×	`*-un-lft-identity_binary64`
13×	`associate-/l*_binary64` `times-frac_binary64`
12×	`pow1_binary64`
8×	`add-cube-cbrt_binary64`
7×	`cbrt-unprod_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64`
6×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `associate-*r/_binary64`
3×	`difference-cubes_binary64` `pow-unpow_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `pow-pow_binary64` `associate-/r/_binary64` `rem-cube-cbrt_binary64` `flip--_binary64` `flip-+_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `associate-/r_binary64` `sub-neg_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `unpow3_binary64` `-commutative_binary64` `cube-mult_binary64`

Counts

4 → 114

Calls

4 calls:

4.0ms	(pow.f64 (*.f64 x y) 3)
10.0ms	(-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))
11.0ms	(.f64 (.f64 x x) (+.f64 (*.f64 y y) (+.f64 y 1)))
21.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (.f64 (.f64 x x) (+.f64 (.f64 y y) (+.f64 y 1))))

series67.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(pow.f64 (*.f64 x y) 3)
18.0ms	(-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))
9.0ms	(.f64 (.f64 x x) (+.f64 (*.f64 y y) (+.f64 y 1)))
33.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (.f64 (.f64 x x) (+.f64 (.f64 y y) (+.f64 y 1))))

simplify54.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5115	1874

prune73.0ms

Filtered

83 candidates to 126 candidates (-51.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	128	2	130

Merged error: 0b

Counts

130 → 2

regimes62.0ms

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	15	5
1	15	5

end0.0ms

sample260.0ms

Algorithm

intervals

Results

139.0ms	8000×	body	80	valid
1.0ms	92×	body	80	invalid

Details

analyze50.0ms

sample10.0ms

simplify9.0ms

prune2.0ms

localize7.0ms

rewrite5.0ms

series5.0ms

simplify54.0ms

prune10.0ms

localize6.0ms

rewrite29.0ms

series32.0ms

simplify49.0ms

prune33.0ms

localize10.0ms

rewrite38.0ms

series83.0ms

simplify44.0ms

prune47.0ms

localize13.0ms

rewrite50.0ms

series67.0ms

simplify54.0ms

prune73.0ms

regimes62.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample260.0ms

Profiling