Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

337×

body

valid

simplify150.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (50.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	92	4
3	232	4
4	491	4
5	785	4
6	1115	4
7	1482	4
8	2218	3
9	3349	3
10	4819	3
11	5001	3

prune5.0ms

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: 3.8b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- y 1.0) z 1.0)
3.6b	(* (fma (- y 1.0) z 1.0) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma (- y 1.0) z 1.0)
3.0ms	(* (fma (- y 1.0) z 1.0) x)

series80.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(fma (- y 1.0) z 1.0)
52.0ms	(* (fma (- y 1.0) z 1.0) x)

simplify52.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	108	166
1	323	137
2	1922	133
3	5001	133

prune80.0ms

Filtered

36 candidates to 26 candidates (72.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	29	7	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	8	37

Merged error: 3.7b

Counts

37 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
3.8b	(cbrt (fma (- y 1.0) z 1.0))
3.8b	(cbrt (fma (- y 1.0) z 1.0))
3.8b	(cbrt (fma (- y 1.0) z 1.0))

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:

6.0ms	(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))

series411.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (cbrt (fma (- y 1.0) z 1.0)) (cbrt (fma (- y 1.0) z 1.0)))
100.0ms	(cbrt (fma (- y 1.0) z 1.0))
100.0ms	(cbrt (fma (- y 1.0) z 1.0))
101.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify134.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	288	847
1	934	788
2	4339	703
3	5001	678

prune267.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	91	10	101

Merged error: 3.7b

Counts

101 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

3.8b	(cbrt (fma (- y 1.0) z 1.0))
3.8b	(cbrt (fma (- y 1.0) z 1.0))
3.8b	(cbrt (fma (- y 1.0) z 1.0))
3.8b	(cbrt (fma (- y 1.0) z 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

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

series412.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (fma (- y 1.0) z 1.0))
108.0ms	(cbrt (fma (- y 1.0) z 1.0))
101.0ms	(cbrt (fma (- y 1.0) z 1.0))
102.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	146	552
1	360	520
2	1293	476
3	5002	448

prune264.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	63	11	74

Merged error: 3.6b

Counts

74 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

3.8b	(cbrt (fma (- y 1.0) z 1.0))
3.8b	(cbrt (fma (- y 1.0) z 1.0))
3.8b	(cbrt (fma (- y 1.0) z 1.0))
3.8b	(cbrt (fma (- y 1.0) z 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))
1.0ms	(cbrt (fma (- y 1.0) z 1.0))

series404.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (fma (- y 1.0) z 1.0))
101.0ms	(cbrt (fma (- y 1.0) z 1.0))
100.0ms	(cbrt (fma (- y 1.0) z 1.0))
101.0ms	(cbrt (fma (- y 1.0) z 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	146	552
1	360	520
2	1293	476
3	5002	448

prune244.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	6	7
Picked	0	1	1
Done	0	3	3
Total	64	11	75

Merged error: 3.6b

Counts

75 → 11

regimes184.0ms

Accuracy

0% (0.2b remaining)

Error of 3.4b against oracle of 3.2b and baseline of 3.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample447.0ms

Algorithm

intervals

Results

238.0ms

10091×

body

valid