Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

312×

body

valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	15	3
1	29	2
2	47	2
3	56	2
4	63	2
5	81	2
6	144	2
7	198	2
8	251	2
9	379	2
10	634	2
11	1809	2
12	5001	2

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (+ z x) x)

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 y (+ z x) x)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(fma y (+ z x) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	47
1	65	39
2	256	39
3	1450	39
4	5001	39

prune32.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	2	14

Merged error: 0.0b

Counts

14 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y z (fma y x x))

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 y z (fma y x x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma y z (fma y x x))

simplify78.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	28	43
1	88	38
2	438	38
3	2894	38
4	5001	38

prune29.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0.0b

Counts

15 → 2

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma y (+ z x) x)
0.0b	(sqrt (fma y (+ z x) x))
0.0b	(sqrt (fma y (+ z x) x))
0.3b	(* (sqrt (fma y (+ z x) x)) (sqrt (fma y (+ z x) x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`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×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma y (+ z x) x)
1.0ms	(sqrt (fma y (+ z x) x))
1.0ms	(sqrt (fma y (+ z x) x))
6.0ms	(* (sqrt (fma y (+ z x) x)) (sqrt (fma y (+ z x) x)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(fma y (+ z x) x)
57.0ms	(sqrt (fma y (+ z x) x))
57.0ms	(sqrt (fma y (+ z x) x))
21.0ms	(* (sqrt (fma y (+ z x) x)) (sqrt (fma y (+ z x) x)))

simplify144.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	178	477
1	620	409
2	3464	389
3	5001	379

prune174.0ms

Filtered

103 candidates to 61 candidates (59.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	103	2	105

Merged error: 0.0b

Counts

105 → 2

regimes39.0ms

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	5	2

end0.0ms

sample433.0ms

Algorithm

intervals

Results

211.0ms

10127×

body

valid