Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify80.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)
15.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite58.0ms

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:

5.0ms	(+ 0.99229 (* x 0.04481))
6.0ms	(+ 2.30753 (* x 0.27061))
21.0ms	(* (+ 0.99229 (* x 0.04481)) x)
24.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ 0.99229 (* x 0.04481))
35.0ms	(+ 2.30753 (* x 0.27061))
61.0ms	(* (+ 0.99229 (* x 0.04481)) x)
52.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (36.0ms)

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

prune319.0ms

Pruning

2 alts after pruning (2 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)
0.4b	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
14.6b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`flip3-+` `associate-l` `flip-+` `add-log-exp`
5×	`prod-exp`
4×	`div-exp` `associate-*l/` `associate-/r/` `unswap-sqr`
3×	`associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-*r/` `clear-num` `sum-log` `un-div-inv` `inv-pow`

Counts

4 → 106

Calls

4 calls:

6.0ms	(+ 2.30753 (* x 0.27061))
16.0ms	(* (+ 0.99229 (* x 0.04481)) x)
10.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
37.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series178.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ 2.30753 (* x 0.27061))
60.0ms	(* (+ 0.99229 (* x 0.04481)) x)
35.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
54.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify72.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	517	955
1	2455	849
2	5002	823

prune224.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

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)) 3)
10.7b	(cbrt (/ 1 (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)))
14.6b	(* (+ 2.30753 (* x 0.27061)) (cbrt (/ 1 (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
80×	`times-frac`
79×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
55×	`add-cube-cbrt`
48×	`associate-r`
23×	`unpow-prod-down` `cube-prod`
11×	`unswap-sqr`
9×	`pow1` `add-exp-log` `sqr-pow`
8×	`add-cbrt-cube`
7×	`cube-mult` `unpow3`
6×	`cube-div` `flip3-+` `associate-l` `flip-+`
4×	`cbrt-div` `associate-*l/` `associate-/r/` `add-log-exp`
3×	`pow-unpow`
2×	`frac-times` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`
1×	`pow-to-exp` `pow-pow` `pow1/3` `associate-*r/` `pow-exp` `rem-cube-cbrt`

Counts

4 → 170

Calls

4 calls:

16.0ms	(* (+ 0.99229 (* x 0.04481)) x)
7.0ms	(pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)
9.0ms	(cbrt (/ 1 (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)))
59.0ms	(* (+ 2.30753 (* x 0.27061)) (cbrt (/ 1 (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3))))

series200.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ 0.99229 (* x 0.04481)) x)
46.0ms	(pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)
35.0ms	(cbrt (/ 1 (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3)))
56.0ms	(* (+ 2.30753 (* x 0.27061)) (cbrt (/ 1 (pow (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) 3))))

simplify90.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	697	2158
1	3264	1895
2	5002	1887

prune385.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

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	25	9
1	25	9

end0.0ms

sample354.0ms

Algorithm

intervals

Results

239.0ms

8000×

body

valid