Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

323×

body

valid

simplify170.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune6.0ms

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)

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify64.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

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

prune36.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)

rewrite19.0ms

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:

6.0ms	(* (- y x) 6.0)
3.0ms	(+ x (* (* (- y x) 6.0) z))
8.0ms	(* (* (- y x) 6.0) z)

series120.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* (- y x) 6.0)
50.0ms	(+ x (* (* (- y x) 6.0) z))
39.0ms	(* (* (- y x) 6.0) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (41.0ms)

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

prune150.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite17.0ms

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:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
12.0ms	(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))

series755.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt z)
190.0ms	(cbrt z)
189.0ms	(cbrt z)
177.0ms	(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (38.0ms)

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

prune217.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y x)) (cbrt (- y x)))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

11.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))

series625.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
166.0ms	(cbrt (- y x))
157.0ms	(cbrt (- y x))
165.0ms	(cbrt (- y x))

simplify169.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (159.0ms)

Iter	Nodes	Cost
0	270	790
1	948	753
2	4624	700
3	5001	694

prune350.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes123.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample442.0ms

Algorithm

intervals

Results

238.0ms

10101×

body

valid