Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

313×

body

valid

simplify166.0ms

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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:

0.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(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

prune42.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- y x) (* 6.0 z)) x)
0.3b	(* (- y x) (* 6.0 z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

9.0ms	(+ (* (- y x) (* 6.0 z)) x)
13.0ms	(* (- y x) (* 6.0 z))

series96.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* (- y x) (* 6.0 z)) x)
49.0ms	(* (- y x) (* 6.0 z))

simplify117.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (112.0ms)

Iter	Nodes	Cost
0	216	229
1	732	194
2	3857	190
3	5001	189

prune105.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (- y x) 6.0) z) x)
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) z)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

14.0ms	(+ (* (* (- y x) 6.0) z) x)
14.0ms	(* (- y x) 6.0)
15.0ms	(* (* (- y x) 6.0) z)

series122.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (* (* (- y x) 6.0) z) x)
32.0ms	(* (- y x) 6.0)
41.0ms	(* (* (- y x) 6.0) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	258	315
1	1096	270
2	5001	268

prune151.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
3.5b	(cbrt (* (- y x) (* 6.0 z)))
3.5b	(cbrt (* (- y x) (* 6.0 z)))
3.5b	(cbrt (* (- y x) (* 6.0 z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

20×	`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:

16.0ms	(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
7.0ms	(cbrt (* (- y x) (* 6.0 z)))
6.0ms	(cbrt (* (- y x) (* 6.0 z)))
7.0ms	(cbrt (* (- y x) (* 6.0 z)))

series874.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
189.0ms	(cbrt (* (- y x) (* 6.0 z)))
190.0ms	(cbrt (* (- y x) (* 6.0 z)))
199.0ms	(cbrt (* (- y x) (* 6.0 z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	392	883
1	1377	817
2	5001	765

prune330.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes90.0ms

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	11	4
1	11	4

end0.0ms

sample453.0ms

Algorithm

intervals

Results

243.0ms

10118×

body

valid