Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

360×

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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(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)

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(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

prune34.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

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)
3.0ms	(* (fma x y z) y)

series88.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (* (fma x y z) y) t)
37.0ms	(* (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

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma x y z)) (cbrt (fma x y z)))
0.5b	(cbrt (fma x y z))
0.5b	(cbrt (fma x y z))
0.5b	(cbrt (fma x y z))

rewrite11.0ms

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:

5.0ms	(* (cbrt (fma x y z)) (cbrt (fma x y z)))
1.0ms	(cbrt (fma x y z))
1.0ms	(cbrt (fma x y z))
1.0ms	(cbrt (fma x y z))

series439.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cbrt (fma x y z)) (cbrt (fma x y z)))
104.0ms	(cbrt (fma x y z))
106.0ms	(cbrt (fma x y z))
106.0ms	(cbrt (fma x y z))

simplify120.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	207	517
1	764	479
2	3807	429
3	5001	425

prune212.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	2	2
Picked	0	1	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 x y z))
0.5b	(cbrt (fma x y z))
0.5b	(cbrt (fma x y z))
0.6b	(cbrt (cbrt (fma x y z)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`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 → 55

Calls

4 calls:

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

series417.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(cbrt (fma x y z))
104.0ms	(cbrt (fma x y z))
101.0ms	(cbrt (fma x y z))
105.0ms	(cbrt (cbrt (fma x y z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	158	343
1	370	320
2	1218	296
3	5001	292

prune220.0ms

Filtered

67 candidates to 63 candidates (94.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	67	5	72

Merged error: 0.0b

Counts

72 → 5

regimes98.0ms

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

sample534.0ms

Algorithm

intervals

Results

264.0ms

11194×

body

valid