Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

376×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	2
1	24	2
2	47	2
3	71	2
4	71	2

prune6.0ms

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (fma x y z) y t)

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 (fma x y z) y t)

series55.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(fma (fma x y z) y t)

simplify60.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	47
1	91	38
2	366	38
3	1887	38
4	5001	38

prune40.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (fma x y z) y) t)
0.1b	(* (fma x y z) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

4.0ms	(+ (* (fma x y z) y) t)
4.0ms	(* (fma x y z) y)

series86.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (* (fma x y z) y) t)
34.0ms	(* (fma x y z) y)

simplify79.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	155	162
1	497	142
2	3196	139
3	5002	138

prune72.0ms

Filtered

40 candidates to 28 candidates (70.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	38	6	44

Merged error: 0.0b

Counts

44 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
7.5b	(cbrt (* (fma x y z) y))
7.5b	(cbrt (* (fma x y z) y))
7.5b	(cbrt (* (fma x y z) y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

5.0ms	(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
2.0ms	(cbrt (* (fma x y z) y))
2.0ms	(cbrt (* (fma x y z) y))
2.0ms	(cbrt (* (fma x y z) y))

series525.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
123.0ms	(cbrt (* (fma x y z) y))
119.0ms	(cbrt (* (fma x y z) y))
119.0ms	(cbrt (* (fma x y z) y))

simplify136.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	302	547
1	966	490
2	4445	433
3	5001	429

prune223.0ms

Filtered

78 candidates to 64 candidates (82.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (fma x y z))
7.5b	(cbrt (* (fma x y z) y))
7.5b	(cbrt (* (fma x y z) y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`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 → 48

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (fma x y z))
2.0ms	(cbrt (* (fma x y z) y))
2.0ms	(cbrt (* (fma x y z) y))

series540.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt y)
105.0ms	(cbrt (fma x y z))
126.0ms	(cbrt (* (fma x y z) y))
128.0ms	(cbrt (* (fma x y z) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	235	306
1	564	280
2	2029	260
3	5002	251

prune199.0ms

Filtered

60 candidates to 55 candidates (91.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	59	7	66

Merged error: 0.0b

Counts

66 → 7

regimes122.0ms

Accuracy

0% (0.0b 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	9	3
1	9	3

end0.0ms

sample647.0ms

Algorithm

intervals

Results

346.0ms

11401×

body

valid