Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	8
1	33	8
2	56	8
3	72	8
4	78	8
5	100	8
6	128	8
7	161	8
8	190	8
9	350	8
10	644	8
11	1012	8
12	2258	8
13	5001	8

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
11.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`flip3-+` `flip-+`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*l/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

2.0ms	(+ 0.99229 (* x 0.04481))
2.0ms	(+ 2.30753 (* x 0.27061))
8.0ms	(* (+ 0.99229 (* x 0.04481)) x)
10.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 0.99229 (* x 0.04481))
34.0ms	(+ 2.30753 (* x 0.27061))
61.0ms	(* (+ 0.99229 (* x 0.04481)) x)
59.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	380	619
1	1452	570
2	5001	568

prune195.0ms

Filtered

85 candidates to 63 candidates (74.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.1b	(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
11.3b	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`add-sqr-sqrt`
58×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`flip3-+` `div-exp` `flip-+`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*l/` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

2.0ms	(+ 2.30753 (* x 0.27061))
8.0ms	(* (+ 0.99229 (* x 0.04481)) x)
10.0ms	(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
13.0ms	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ 2.30753 (* x 0.27061))
65.0ms	(* (+ 0.99229 (* x 0.04481)) x)
56.0ms	(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
57.0ms	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

simplify75.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	632	1863
1	2981	1697
2	5001	1616

prune278.0ms

Filtered

158 candidates to 92 candidates (58.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (cbrt (pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3)))
0.1b	(pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3)
11.3b	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))
16.4b	(cbrt (pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
180×	`cbrt-prod`
146×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
90×	`unpow-prod-down` `cube-prod`
42×	`associate-/r*`
27×	`associate-/r/`
14×	`flip3-+` `flip-+` `div-inv`
13×	`add-exp-log`
10×	`add-cbrt-cube`
6×	`pow1` `cube-mult` `unpow3` `associate-/l*` `sqr-pow`
4×	`div-exp` `add-log-exp`
3×	`cbrt-undiv` `cube-div` `pow-unpow`
2×	`cbrt-div` `pow-flip` `frac-2neg` `pow1/3` `pow-exp` `clear-num` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `rec-exp` `pow-pow` `1-exp` `rem-cbrt-cube` `inv-pow`

Counts

4 → 304

Calls

4 calls:

28.0ms	(/ 1 (cbrt (pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3)))
9.0ms	(pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3)
11.0ms	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))
9.0ms	(cbrt (pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3))

series259.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ 1 (cbrt (pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3)))
81.0ms	(pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3)
55.0ms	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))
61.0ms	(cbrt (pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3))

simplify121.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	774	5027
1	3599	4327
2	5001	4302

prune451.0ms

Filtered

316 candidates to 126 candidates (39.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.1b	(pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3)
11.3b	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))
17.1b	(pow (pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3) (- 1/3))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

66×	`unpow-prod-down`
49×	`add-sqr-sqrt`
47×	`add-cube-cbrt` `*-un-lft-identity`
45×	`times-frac`
30×	`cube-prod`
15×	`add-exp-log`
13×	`pow-unpow`
11×	`add-cbrt-cube`
10×	`associate-/r/`
8×	`pow-exp`
7×	`pow1` `flip3-+` `flip-+`
5×	`div-inv`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `pow-to-exp` `distribute-rgt-neg-in` `div-exp` `associate-r` `associate-l` `associate-/r` `associate-/l` `sqr-pow`
2×	`cbrt-undiv` `cube-mult` `pow-pow` `unpow3` `associate-*l/` `associate-/l/` `rem-cube-cbrt`
1×	`cube-div` `neg-sub0` `pow-neg` `neg-mul-1` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `pow-sub` `unswap-sqr`

Counts

4 → 163

Calls

4 calls:

8.0ms	(* (+ 0.99229 (* x 0.04481)) x)
8.0ms	(pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3)
11.0ms	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))
24.0ms	(pow (pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3) (- 1/3))

series408.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (+ 0.99229 (* x 0.04481)) x)
78.0ms	(pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3)
53.0ms	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))
210.0ms	(pow (pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3) (- 1/3))

simplify113.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	930	2379
1	3970	2177
2	5002	2171

prune410.0ms

Filtered

175 candidates to 104 candidates (59.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	11
1	27	11

end0.0ms

sample341.0ms

Algorithm

intervals

Results

248.0ms

8000×

body

valid