Details

sample18.0ms

Algorithm

intervals

Results

11.0ms

397×

body

valid

simplify189.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	15	5
1	38	4
2	80	4
3	118	4
4	174	4
5	365	4
6	1299	4
7	4620	4
8	5001	4

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
0.1b	(* (* x x) x)
0.2b	(* 0.12900613773279798 (* (* x x) x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `pow3` `flip--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

3.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
8.0ms	(* (* x x) x)
22.0ms	(* 0.12900613773279798 (* (* x x) x))

series163.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
31.0ms	(* (* x x) x)
39.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify154.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	215	272
1	848	214
2	4615	210
3	5002	206

prune88.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))
0.1b	(* (* 0.12900613773279798 (* x x)) x)
0.2b	(* 0.12900613773279798 (* x x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`associate-r` `associate-l`
2×	`*-commutative`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

3.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))
24.0ms	(* (* 0.12900613773279798 (* x x)) x)
7.0ms	(* 0.12900613773279798 (* x x))

series154.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))
35.0ms	(* (* 0.12900613773279798 (* x x)) x)
25.0ms	(* 0.12900613773279798 (* x x))

simplify41.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	230	292
1	1093	240
2	5001	239

prune83.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.954929658551372 x) (* (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))) x))
0.1b	(* (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))) x)
0.2b	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))
0.2b	(* (sqrt 0.12900613773279798) (* x x))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
6×	`add-log-exp`
5×	`associate-r`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--`

Counts

4 → 84

Calls

4 calls:

3.0ms	(- (* 0.954929658551372 x) (* (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))) x))
84.0ms	(* (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))) x)
24.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))
10.0ms	(* (sqrt 0.12900613773279798) (* x x))

series344.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(- (* 0.954929658551372 x) (* (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))) x))
88.0ms	(* (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x))) x)
70.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* x x)))
47.0ms	(* (sqrt 0.12900613773279798) (* x x))

simplify59.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	313	597
1	1531	442
2	5001	403

prune146.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (cbrt 0.12900613773279798)) (* x x))
1.0b	(cbrt 0.12900613773279798)
1.0b	(cbrt 0.12900613773279798)
1.0b	(cbrt 0.12900613773279798)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod` `add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
8×	`sqrt-prod`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`associate-r` `*-commutative`

Counts

4 → 60

Calls

4 calls:

12.0ms	(* (sqrt (cbrt 0.12900613773279798)) (* x x))
0.0ms	(cbrt 0.12900613773279798)
1.0ms	(cbrt 0.12900613773279798)
1.0ms	(cbrt 0.12900613773279798)

series80.0ms

Counts

4 → 6

Calls

4 calls:

80.0ms	(* (sqrt (cbrt 0.12900613773279798)) (* x x))
0.0ms	(cbrt 0.12900613773279798)
0.0ms	(cbrt 0.12900613773279798)
0.0ms	(cbrt 0.12900613773279798)

simplify105.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 4 (101.0ms)

Iter	Nodes	Cost
0	113	273
1	345	249
2	914	243
3	3073	243
4	5001	240

prune170.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes32.0ms

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	11	5
1	11	5

end0.0ms

sample385.0ms

Algorithm

intervals

Results

261.0ms

12106×

body

valid