Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify82.0ms

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

localize10.0ms

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)
13.4b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite19.0ms

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

series190.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 0.99229 (* x 0.04481))
31.0ms	(+ 2.30753 (* x 0.27061))
64.0ms	(* (+ 0.99229 (* x 0.04481)) x)
61.0ms	(/ (+ 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

prune180.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 2.30753 (* x 0.27061))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.3b	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
13.0b	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

rewrite25.0ms

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:

2.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* (+ 0.99229 (* x 0.04481)) x)
4.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
10.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

series187.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ 2.30753 (* x 0.27061))
58.0ms	(* (+ 0.99229 (* x 0.04481)) x)
39.0ms	(/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
57.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))

simplify63.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (53.0ms)

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

prune231.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.900161040244073 (pow x 2)) 2.30753)
0.0b	(- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x))
0.0b	(- x (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x)))
0.1b	(* 1.900161040244073 (pow x 2))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
15×	`add-sqr-sqrt`
9×	`add-exp-log` `*-un-lft-identity`
8×	`associate-r`
7×	`add-cube-cbrt` `diff-log`
6×	`add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `unswap-sqr`
3×	`sub-neg` `associate-l` `prod-exp` `sum-log` `associate--r+`
2×	`flip3--` `associate--l+` `flip--` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `associate--r-` `difference-of-squares`

Counts

4 → 72

Calls

4 calls:

4.0ms	(+ (* 1.900161040244073 (pow x 2)) 2.30753)
6.0ms	(- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x))
7.0ms	(- x (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x)))
5.0ms	(* 1.900161040244073 (pow x 2))

series122.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* 1.900161040244073 (pow x 2)) 2.30753)
22.0ms	(- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x))
26.0ms	(- x (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x)))
27.0ms	(* 1.900161040244073 (pow x 2))

simplify41.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	303	484
1	1137	459
2	5001	454

prune154.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

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

sample329.0ms

Algorithm

intervals

Results

239.0ms

8000×

body

valid