Details

sample22.0ms

Algorithm

intervals

Results

15.0ms

352×

body

valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	4
1	41	4
2	69	4
3	90	4
4	105	4
5	147	4
6	226	4
7	368	4
8	415	4
9	415	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

2.0ms	(+ 0.253 (* x 0.12))
7.0ms	(* x (+ 0.253 (* x 0.12)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ 0.253 (* x 0.12))
67.0ms	(* x (+ 0.253 (* x 0.12)))

simplify113.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	166	173
1	767	154
2	4026	154
3	5002	154

prune76.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.253) (* x (* x 0.12)))
0.2b	(* x (* x 0.12))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

3.0ms	(+ (* x 0.253) (* x (* x 0.12)))
6.0ms	(* x (* x 0.12))

series97.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ (* x 0.253) (* x (* x 0.12)))
28.0ms	(* x (* x 0.12))

simplify94.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	166	160
1	675	137
2	2995	134
3	5001	133

prune63.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* x 0.12))
0.4b	(* (sqrt (* x (* x 0.12))) (sqrt (* x (* x 0.12))))
18.4b	(sqrt (* x (* x 0.12)))
18.4b	(sqrt (* x (* x 0.12)))

rewrite55.0ms

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-l`
6×	`sqrt-prod`
5×	`associate-r`
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 (* x 0.12))
36.0ms	(* (sqrt (* x (* x 0.12))) (sqrt (* x (* x 0.12))))
4.0ms	(sqrt (* x (* x 0.12)))
4.0ms	(sqrt (* x (* x 0.12)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* x (* x 0.12))
66.0ms	(* (sqrt (* x (* x 0.12))) (sqrt (* x (* x 0.12))))
40.0ms	(sqrt (* x (* x 0.12)))
34.0ms	(sqrt (* x (* x 0.12)))

simplify40.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	171	367
1	860	306
2	5001	284

prune160.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (sqrt (* x (* x 0.12)))) (sqrt (sqrt (* x (* x 0.12)))))
18.4b	(sqrt (* x (* x 0.12)))
18.4b	(sqrt (* x (* x 0.12)))
18.4b	(sqrt (* x (* x 0.12)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

157×	`pow1`
149×	`sqrt-pow1`
82×	`pow-prod-down`
29×	`sqrt-prod`
24×	`add-sqr-sqrt`
23×	`pow1/2`
21×	`pow-prod-up`
13×	`pow-sqr`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`swap-sqr`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 124

Calls

4 calls:

41.0ms	(* (sqrt (sqrt (* x (* x 0.12)))) (sqrt (sqrt (* x (* x 0.12)))))
4.0ms	(sqrt (* x (* x 0.12)))
4.0ms	(sqrt (* x (* x 0.12)))
4.0ms	(sqrt (* x (* x 0.12)))

series148.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (sqrt (sqrt (* x (* x 0.12)))) (sqrt (sqrt (* x (* x 0.12)))))
34.0ms	(sqrt (* x (* x 0.12)))
40.0ms	(sqrt (* x (* x 0.12)))
34.0ms	(sqrt (* x (* x 0.12)))

simplify170.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 3 (162.0ms)

Iter	Nodes	Cost
0	135	483
1	556	444
2	3428	420
3	5001	399

prune209.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample575.0ms

Algorithm

intervals

Results

457.0ms

10576×

body

valid