Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

335×

body

valid

simplify186.0ms

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(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)

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (12.0ms)

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

prune37.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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:

4.0ms	(+ x (* (* (- y x) 6.0) z))
7.0ms	(* (- y x) 6.0)
13.0ms	(* (* (- y x) 6.0) z)

series128.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ x (* (* (- y x) 6.0) z))
33.0ms	(* (- y x) 6.0)
42.0ms	(* (* (- y x) 6.0) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (45.0ms)

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

prune164.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (- y x) 6.0) z)
1.8b	(cbrt (* (* (- y x) 6.0) z))
1.8b	(cbrt (* (* (- y x) 6.0) z))
1.8b	(cbrt (* (* (- y x) 6.0) z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

8.0ms	(* (* (- y x) 6.0) z)
7.0ms	(cbrt (* (* (- y x) 6.0) z))
7.0ms	(cbrt (* (* (- y x) 6.0) z))
8.0ms	(cbrt (* (* (- y x) 6.0) z))

series646.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* (- y x) 6.0) z)
201.0ms	(cbrt (* (* (- y x) 6.0) z))
201.0ms	(cbrt (* (* (- y x) 6.0) z))
203.0ms	(cbrt (* (* (- y x) 6.0) z))

simplify49.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	308	532
1	1073	482
2	5001	470

prune288.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))
1.8b	(cbrt (* (* (* (- y x) 6.0) (* (cbrt z) (cbrt z))) (cbrt z)))
1.8b	(cbrt (* (* (- y x) 6.0) z))
1.8b	(cbrt (* (* (- y x) 6.0) z))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

13.0ms	(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))
15.0ms	(cbrt (* (* (* (- y x) 6.0) (* (cbrt z) (cbrt z))) (cbrt z)))
7.0ms	(cbrt (* (* (- y x) 6.0) z))
8.0ms	(cbrt (* (* (- y x) 6.0) z))

series821.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))
230.0ms	(cbrt (* (* (* (- y x) 6.0) (* (cbrt z) (cbrt z))) (cbrt z)))
202.0ms	(cbrt (* (* (- y x) 6.0) z))
201.0ms	(cbrt (* (* (- y x) 6.0) z))

simplify57.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	416	744
1	1396	641
2	5001	563

prune332.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

0% (0.2b 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 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample464.0ms

Algorithm

intervals

Results

245.0ms

10049×

body

valid