Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite21.0ms

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:

3.0ms	(+ 0.99229 (* x 0.04481))
3.0ms	(+ 2.30753 (* x 0.27061))
6.0ms	(* (+ 0.99229 (* x 0.04481)) x)
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 0.99229 (* x 0.04481))
36.0ms	(+ 2.30753 (* x 0.27061))
64.0ms	(* (+ 0.99229 (* x 0.04481)) x)
65.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (38.0ms)

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

prune184.0ms

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)))

rewrite32.0ms

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:

3.0ms	(+ 2.30753 (* x 0.27061))
6.0ms	(* (+ 0.99229 (* x 0.04481)) x)
11.0ms	(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
7.0ms	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 2.30753 (* x 0.27061))
67.0ms	(* (+ 0.99229 (* x 0.04481)) x)
61.0ms	(/ 1 (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
55.0ms	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))

simplify83.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (61.0ms)

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

prune279.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

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))

rewrite54.0ms

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:

15.0ms	(/ 1 (cbrt (pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3)))
8.0ms	(pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3)
7.0ms	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))
8.0ms	(cbrt (pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3))

series265.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ 1 (cbrt (pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3)))
90.0ms	(pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3)
57.0ms	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))
60.0ms	(cbrt (pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3))

simplify126.0ms

Algorithm

egg-herbie

Counts

316 → 316

Iterations

Useful iterations: 2 (76.0ms)

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

prune452.0ms

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))

rewrite36.0ms

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:

5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
7.0ms	(pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3)
7.0ms	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))
11.0ms	(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:

63.0ms	(* (+ 0.99229 (* x 0.04481)) x)
81.0ms	(pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3)
59.0ms	(/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))
204.0ms	(pow (pow (/ (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))) 3) (- 1/3))

simplify117.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	930	2375
1	3970	2175
2	5001	2165

prune412.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

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

sample375.0ms

Algorithm

intervals

Results

272.0ms

8000×

body

valid