Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

321×

body

valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 10 (65.0ms)

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

prune7.0ms

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

localize6.0ms

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)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify48.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

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

prune35.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 0.0b

Counts

15 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))
8.3b	(/ (+ x (* y (- z x))) z)

rewrite25.0ms

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:

6.0ms	(+ x (* y (- z x)))
8.0ms	(* y (- z x))
6.0ms	(/ (+ x (* y (- z x))) z)

series366.0ms

Counts

3 → 9

Calls

3 calls:

274.0ms	(+ x (* y (- z x)))
38.0ms	(* y (- z x))
53.0ms	(/ (+ x (* y (- z x))) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (49.0ms)

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

prune209.0ms

Filtered

124 candidates to 79 candidates (63.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	124	5	129

Merged error: 0.0b

Counts

129 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- 1 y) (/ x z) y)
2.1b	(expm1 (log1p (fma (- 1 y) (/ x z) y)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 21

Calls

2 calls:

1.0ms	(fma (- 1 y) (/ x z) y)
1.0ms	(expm1 (log1p (fma (- 1 y) (/ x z) y)))

series186.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma (- 1 y) (/ x z) y)
152.0ms	(expm1 (log1p (fma (- 1 y) (/ x z) y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	119	165
1	290	151
2	1070	131
3	5001	117

prune62.0ms

Filtered

27 candidates to 20 candidates (74.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	27	5	32

Merged error: 0.0b

Counts

32 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (- 1 y) (/ x z) y))
0.0b	(fma (- 1 y) (/ x z) y)
0.0b	(fma (- 1 y) (/ x z) y)
0.3b	(* (sqrt (fma (- 1 y) (/ x z) y)) (sqrt (fma (- 1 y) (/ x z) y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

2.0ms	(sqrt (fma (- 1 y) (/ x z) y))
1.0ms	(fma (- 1 y) (/ x z) y)
1.0ms	(fma (- 1 y) (/ x z) y)
7.0ms	(* (sqrt (fma (- 1 y) (/ x z) y)) (sqrt (fma (- 1 y) (/ x z) y)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(sqrt (fma (- 1 y) (/ x z) y))
35.0ms	(fma (- 1 y) (/ x z) y)
32.0ms	(fma (- 1 y) (/ x z) y)
31.0ms	(* (sqrt (fma (- 1 y) (/ x z) y)) (sqrt (fma (- 1 y) (/ x z) y)))

simplify173.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (164.0ms)

Iter	Nodes	Cost
0	148	552
1	537	485
2	3451	445
3	5001	427

prune172.0ms

Filtered

98 candidates to 55 candidates (56.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

regimes92.0ms

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

sample511.0ms

Algorithm

intervals

Results

298.0ms

10113×

body

valid