Details

sample10.0ms

Algorithm

intervals

Results

5.0ms

365×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	10	2
2	10	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

7.0ms

(* (* x 3.0) x)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(* (* x 3.0) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	94	72
1	433	57
2	2295	57
3	5001	56

prune33.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.4b	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
20.0b	(sqrt (* (* x 3.0) x))
20.0b	(sqrt (* (* x 3.0) x))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

6.0ms	(* (* x 3.0) x)
42.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
5.0ms	(sqrt (* (* x 3.0) x))
5.0ms	(sqrt (* (* x 3.0) x))

series170.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 3.0) x)
64.0ms	(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
40.0ms	(sqrt (* (* x 3.0) x))
34.0ms	(sqrt (* (* x 3.0) x))

simplify43.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	177	368
1	939	307
2	5001	296

prune148.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
0.6b	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
20.0b	(sqrt (* (* x 3.0) x))
20.0b	(sqrt (* (* x 3.0) x))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`sqrt-prod`
25×	`pow1`
20×	`associate-r`
18×	`unpow-prod-down` `cube-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
14×	`sqrt-pow1`
12×	`unswap-sqr`
10×	`add-exp-log`
9×	`pow-prod-down`
7×	`pow-pow` `associate-l` `add-cbrt-cube`
4×	`pow1/2` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 114

Calls

4 calls:

35.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
7.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
5.0ms	(sqrt (* (* x 3.0) x))
8.0ms	(sqrt (* (* x 3.0) x))

series333.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (sqrt (sqrt (* (* x 3.0) x))) 3))
188.0ms	(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
35.0ms	(sqrt (* (* x 3.0) x))
39.0ms	(sqrt (* (* x 3.0) x))

simplify64.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	323	1052
1	1595	756
2	5001	666

prune257.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 3.0) x)
0.2b	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (* (* x 3.0) x) 3/4))
8.1b	(pow (* (* x 3.0) x) 3/4)
20.0b	(sqrt (* (* x 3.0) x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log`
15×	`add-sqr-sqrt`
14×	`prod-exp`
12×	`pow-prod-down`
11×	`add-cbrt-cube`
10×	`sqrt-pow1`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `associate-l` `sqrt-prod`
6×	`pow-exp`
4×	`pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr` `sqr-pow`
3×	`pow-unpow` `pow-pow`
2×	`pow-to-exp` `unpow-prod-down` `pow1/2` `*-commutative`

Counts

4 → 83

Calls

4 calls:

6.0ms	(* (* x 3.0) x)
32.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (* (* x 3.0) x) 3/4))
6.0ms	(pow (* (* x 3.0) x) 3/4)
5.0ms	(sqrt (* (* x 3.0) x))

series593.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 3.0) x)
319.0ms	(* (sqrt (sqrt (* (* x 3.0) x))) (pow (* (* x 3.0) x) 3/4))
215.0ms	(pow (* (* x 3.0) x) 3/4)
34.0ms	(sqrt (* (* x 3.0) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	289	561
1	1224	516
2	5001	508

prune231.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.1b 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	6	2
1	6	2

end0.0ms

sample267.0ms

Algorithm

intervals

Results

152.0ms

10756×

body

valid