Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

333×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 10 (81.0ms)

Iter	Nodes	Cost
0	11	4
1	20	4
2	36	4
3	58	4
4	78	4
5	101	4
6	138	4
7	225	4
8	510	4
9	1682	4
10	5001	3

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 2

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- 1 y) (/ x z) y)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- 1 y) (/ x z) y)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(fma (- 1 y) (/ x z) y)

simplify54.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	38	66
1	82	59
2	256	53
3	1313	53
4	5001	53

prune40.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
0.5b	(cbrt (fma (- 1 y) (/ x z) y))
0.5b	(cbrt (fma (- 1 y) (/ x z) y))
0.5b	(cbrt (fma (- 1 y) (/ x z) y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `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 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
2.0ms	(cbrt (fma (- 1 y) (/ x z) y))

series607.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y)))
144.0ms	(cbrt (fma (- 1 y) (/ x z) y))
137.0ms	(cbrt (fma (- 1 y) (/ x z) y))
140.0ms	(cbrt (fma (- 1 y) (/ x z) y))

simplify58.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	314	1139
1	1112	1069
2	5001	1008

prune304.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	92	5	97

Merged error: 0.0b

Counts

97 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (- 1 y) (/ x z) y))
0.5b	(cbrt (fma (- 1 y) (/ x z) y))
0.5b	(cbrt (* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y))))
0.5b	(cbrt (cbrt (fma (- 1 y) (/ x z) y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
1.0ms	(cbrt (fma (- 1 y) (/ x z) y))
4.0ms	(cbrt (* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y))))
2.0ms	(cbrt (cbrt (fma (- 1 y) (/ x z) y)))

series779.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (fma (- 1 y) (/ x z) y))
131.0ms	(cbrt (fma (- 1 y) (/ x z) y))
394.0ms	(cbrt (* (cbrt (fma (- 1 y) (/ x z) y)) (cbrt (fma (- 1 y) (/ x z) y))))
126.0ms	(cbrt (cbrt (fma (- 1 y) (/ x z) y)))

simplify93.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	356	890
1	919	835
2	3449	824
3	5001	809

prune287.0ms

Filtered

65 candidates to 61 candidates (93.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (* y (- z x)))
9.5b	(/ (+ x (* y (- z x))) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
38×	`add-cube-cbrt`
36×	`prod-diff`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
9×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`sub-neg`
3×	`expm1-log1p-u` `fma-def` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3-+` `associate-*r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 115

Calls

3 calls:

11.0ms	(* y (- z x))
6.0ms	(+ x (* y (- z x)))
6.0ms	(/ (+ x (* y (- z x))) z)

series113.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* y (- z x))
28.0ms	(+ x (* y (- z x)))
45.0ms	(/ (+ x (* y (- z x))) z)

simplify56.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	379	842
1	1526	592
2	5002	585

prune244.0ms

Filtered

124 candidates to 79 candidates (63.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	2	0	2
Picked	1	0	1
Done	1	1	2
Total	126	3	129

Merged error: 0.0b

Counts

129 → 3

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample457.0ms

Algorithm

intervals

Results

249.0ms

10175×

body

valid