Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

335×

body

valid

simplify163.0ms

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

localize11.0ms

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)

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify61.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

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

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

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

series77.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (- y x) 6.0)
41.0ms	(* (* (- y x) 6.0) z)

simplify37.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	194	209
1	868	176
2	5001	176

prune108.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.5b	(* (- y x) (sqrt 6.0))
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

12.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
8.0ms	(* (- y x) (sqrt 6.0))
10.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series351.0ms

Counts

3 → 9

Calls

3 calls:

175.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
69.0ms	(* (- y x) (sqrt 6.0))
106.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	289	478
1	1494	381
2	5001	375

prune184.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
0.3b	(* (* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) z)
0.3b	(* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
0.5b	(* (- y x) (sqrt 6.0))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1` `add-exp-log`
41×	`pow-prod-down` `prod-exp` `cbrt-unprod`
39×	`add-cbrt-cube`
20×	`associate-*l/`
19×	`associate-r`
17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
8×	`associate-l`
7×	`sqrt-prod`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 125

Calls

4 calls:

19.0ms	(* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
21.0ms	(* (* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) z)
14.0ms	(* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
8.0ms	(* (- y x) (sqrt 6.0))

series781.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
185.0ms	(* (* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) z)
417.0ms	(* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
64.0ms	(* (- y x) (sqrt 6.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	463	1571
1	2439	1170
2	5001	1048

prune291.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes108.0ms

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

sample432.0ms

Algorithm

intervals

Results

235.0ms

10149×

body

valid