Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

349×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	44	3
3	62	3
4	63	3
5	63	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`prod-diff`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `fma-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

3.0ms	(- 1.0 (* x y))
5.0ms	(* x (- 1.0 (* x y)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(- 1.0 (* x y))
41.0ms	(* x (- 1.0 (* x y)))

simplify108.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	171	294
1	703	256
2	3872	252
3	5002	250

prune88.0ms

Filtered

58 candidates to 37 candidates (63.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	52	6	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	6	59

Merged error: 0.0b

Counts

59 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))
51.1b	(fma (- y) x (* y x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff`
5×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `associate-r` `associate-l` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

3.0ms	(- 1.0 (* x y))
8.0ms	(* x (- 1.0 (* x y)))
1.0ms	(fma (- y) x (* y x))

series91.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(- 1.0 (* x y))
39.0ms	(* x (- 1.0 (* x y)))
23.0ms	(fma (- y) x (* y x))

simplify115.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	181	344
1	748	299
2	4048	295
3	5002	293

prune128.0ms

Filtered

71 candidates to 48 candidates (67.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
9.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series905.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(cbrt (- 1.0 (* x y)))
227.0ms	(cbrt (- 1.0 (* x y)))
228.0ms	(cbrt (- 1.0 (* x y)))
221.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify50.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	369	1126
1	1438	1071
2	5001	1010

prune252.0ms

Filtered

107 candidates to 83 candidates (77.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	106	7	113

Merged error: 0.0b

Counts

113 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (cbrt (- 1.0 (* x y))))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-div`
29×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`flip3--` `flip--`
11×	`pow1`
9×	`pow1/3`
8×	`frac-times`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `associate-r/` `associate-l/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (cbrt (- 1.0 (* x y))))
9.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
11.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

series912.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(cbrt (- 1.0 (* x y)))
235.0ms	(cbrt (cbrt (- 1.0 (* x y))))
223.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
218.0ms	(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	572	1375
1	2172	1304
2	5002	1259

prune334.0ms

Filtered

114 candidates to 88 candidates (77.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	113	8	121

Merged error: 0b

Counts

121 → 8

regimes93.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	8
1	14	8

end0.0ms

sample364.0ms

Algorithm

intervals

Results

199.0ms

10583×

body

valid