Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	8
1	42	8
2	50	8
3	50	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	(* x (+ 0.99229 (* x 0.04481)))
13.4b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

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-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

3.0ms	(+ 0.99229 (* x 0.04481))
3.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
7.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series203.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ 0.99229 (* x 0.04481))
33.0ms	(+ 2.30753 (* x 0.27061))
69.0ms	(* x (+ 0.99229 (* x 0.04481)))
62.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	401	622
1	1709	574
2	5001	574

prune205.0ms

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

rewrite27.0ms

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-/r/` `unswap-sqr`
3×	`associate-r/` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `clear-num` `sum-log` `un-div-inv` `inv-pow`

Counts

4 → 108

Calls

4 calls:

3.0ms	(+ 2.30753 (* x 0.27061))
5.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
11.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series209.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ 2.30753 (* x 0.27061))
69.0ms	(* x (+ 0.99229 (* x 0.04481)))
39.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
62.0ms	(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify77.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	538	958
1	2687	853
2	5002	827

prune245.0ms

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

rewrite29.0ms

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`
5×	`associate--l+`
4×	`pow1` `unpow-prod-down` `unswap-sqr`
3×	`sub-neg` `associate-l` `prod-exp` `sum-log`
2×	`flip3--` `flip--` `unpow2` `sqr-pow`
1×	`+-commutative` `associate--l-` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 72

Calls

4 calls:

5.0ms	(+ (* 1.900161040244073 (pow x 2)) 2.30753)
7.0ms	(- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x))
10.0ms	(- (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x)) x)
6.0ms	(* 1.900161040244073 (pow x 2))

series131.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* 1.900161040244073 (pow x 2)) 2.30753)
23.0ms	(- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x))
23.0ms	(- (- (+ (* 1.900161040244073 (pow x 2)) 2.30753) (* 2.0191289436999997 x)) x)
30.0ms	(* 1.900161040244073 (pow x 2))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	304	475
1	1145	450
2	5001	441

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

sample342.0ms

Algorithm

intervals

Results

250.0ms

8000×

body

valid