Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

303×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (17.0ms)

Iter	Nodes	Cost
0	16	3
1	24	3
2	38	3
3	45	3
4	53	3
5	57	3
6	67	3
7	309	2
8	2125	2
9	5001	2

prune8.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

1.5b	(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)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(fma (/ y z) x x)

simplify143.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	44
1	62	39
2	202	39
3	839	39
4	4744	39
5	5001	39

prune23.0ms

Filtered

13 candidates to 10 candidates (23.1%)

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:

0.6b	(cbrt (fma (/ y z) x x))
1.5b	(fma (/ y z) x x)
1.5b	(fma (/ y z) x x)
1.5b	(fma (/ y z) x x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ y z) x x))
1.0ms	(fma (/ y z) x x)
1.0ms	(fma (/ y z) x x)
1.0ms	(fma (/ y z) x x)

series217.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (fma (/ y z) x x))
31.0ms	(fma (/ y z) x x)
28.0ms	(fma (/ y z) x x)
28.0ms	(fma (/ y z) x x)

simplify118.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	102	227
1	252	205
2	975	202
3	4852	197
4	5001	197

prune118.0ms

Filtered

55 candidates to 44 candidates (20.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	52	7	59

Merged error: 0.0b

Counts

59 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (/ y z) x x)
1.5b	(fma (/ y z) x x)
1.5b	(fma (/ y z) x x)
1.5b	(fma (/ y z) x x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 40

Calls

4 calls:

1.0ms	(fma (/ y z) x x)
1.0ms	(fma (/ y z) x x)
1.0ms	(fma (/ y z) x x)
1.0ms	(fma (/ y z) x x)

series128.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(fma (/ y z) x x)
30.0ms	(fma (/ y z) x x)
31.0ms	(fma (/ y z) x x)
34.0ms	(fma (/ y z) x x)

simplify159.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	26	176
1	62	156
2	202	156
3	839	156
4	4744	156
5	5001	156

prune137.0ms

Filtered

52 candidates to 40 candidates (23.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	52	7	59

Merged error: 0.0b

Counts

59 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
11.8b	(/ (* x (+ y z)) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`times-frac`
30×	`add-cube-cbrt`
20×	`associate-r`
15×	`associate-l`
13×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
5×	`*-commutative` `distribute-lft-out` `unswap-sqr`
4×	`pow1` `associate-*r/`
3×	`associate-/r*`
2×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 100

Calls

2 calls:

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

series71.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* x (+ y z))
44.0ms	(/ (* x (+ y z)) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	362	556
1	1658	527
2	5001	524

prune125.0ms

Filtered

106 candidates to 75 candidates (29.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	2	1	3
Picked	0	1	1
Done	1	2	3
Total	107	6	113

Merged error: 0b

Counts

113 → 6

regimes96.0ms

Accuracy

25.6% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 3.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	13
1	18	13

end0.0ms

sample420.0ms

Algorithm

intervals

Results

218.0ms

9647×

body

valid