Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

331×

body

valid

simplify196.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	15	4
1	32	3
2	73	3
3	150	3
4	235	3
5	277	3
6	317	3
7	371	3
8	542	3
9	974	3
10	2015	3
11	2736	3
12	3606	3
13	4676	3
14	5001	3

prune8.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- y x) (* 6.0 z) 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 x) (* 6.0 z) x)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(fma (- y x) (* 6.0 z) x)

simplify77.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	44	69
1	110	59
2	343	53
3	1684	53
4	5002	53

prune35.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0.0b

Counts

15 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) z))
0.5b	(* (* (- y x) 6.0) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

7.0ms	(* (- y x) 6.0)
4.0ms	(+ x (* (* (- y x) 6.0) z))
8.0ms	(* (* (- y x) 6.0) z)

series123.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (- y x) 6.0)
50.0ms	(+ x (* (* (- y x) 6.0) z))
40.0ms	(* (* (- y x) 6.0) z)

simplify55.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	259	314
1	1122	267
2	5002	265

prune134.0ms

Filtered

71 candidates to 49 candidates (69.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`flip3--` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

4 → 65

Calls

4 calls:

5.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
13.0ms	(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))

series773.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt z)
194.0ms	(cbrt z)
200.0ms	(cbrt z)
181.0ms	(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	250	379
1	987	292
2	5001	278

prune188.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	77	5	82

Merged error: 0.0b

Counts

82 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
3.3b	(cbrt (* (* (- y x) 6.0) z))
3.3b	(cbrt (* (* (- y x) 6.0) z))
3.3b	(cbrt (* (* (- y x) 6.0) z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

10.0ms	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
7.0ms	(cbrt (* (* (- y x) 6.0) z))
7.0ms	(cbrt (* (* (- y x) 6.0) z))
7.0ms	(cbrt (* (* (- y x) 6.0) z))

series889.0ms

Counts

4 → 12

Calls

4 calls:

284.0ms	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
199.0ms	(cbrt (* (* (- y x) 6.0) z))
201.0ms	(cbrt (* (* (- y x) 6.0) z))
205.0ms	(cbrt (* (* (- y x) 6.0) z))

simplify62.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	394	883
1	1365	817
2	5002	765

prune297.0ms

Filtered

92 candidates to 75 candidates (81.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	91	6	97

Merged error: 0.0b

Counts

97 → 6

regimes112.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample449.0ms

Algorithm

intervals

Results

242.0ms

10094×

body

valid