Details

sample18.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify77.0ms

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	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
14.4b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
4×	`flip3-+` `flip-+`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`associate-*l/` `associate-/r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

2.0ms	(+ 0.99229 (* x 0.04481))
12.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
7.0ms	(* (+ 0.99229 (* x 0.04481)) x)
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ 0.99229 (* x 0.04481))
86.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
65.0ms	(* (+ 0.99229 (* x 0.04481)) x)
60.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	418	785
1	1542	737
2	5001	731

prune204.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 0.99229 (* x 0.04481))
0.0b	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (pow (+ 0.99229 (* x 0.04481)) 1) x))))
0.1b	(* (pow (+ 0.99229 (* x 0.04481)) 1) x)
14.4b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (pow (+ 0.99229 (* x 0.04481)) 1) x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`add-exp-log`
10×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`associate-l`
5×	`pow1`
4×	`unpow-prod-down`
3×	`flip3-+` `associate-r` `prod-exp` `associate-/r` `flip-+` `associate-/l` `unswap-sqr`
2×	`associate-/r/` `associate-/l/` `difference-of-squares` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--`

Counts

4 → 83

Calls

4 calls:

2.0ms	(+ 0.99229 (* x 0.04481))
12.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (pow (+ 0.99229 (* x 0.04481)) 1) x))))
13.0ms	(* (pow (+ 0.99229 (* x 0.04481)) 1) x)
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (pow (+ 0.99229 (* x 0.04481)) 1) x)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 0.99229 (* x 0.04481))
85.0ms	(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (pow (+ 0.99229 (* x 0.04481)) 1) x))))
76.0ms	(* (pow (+ 0.99229 (* x 0.04481)) 1) x)
63.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (pow (+ 0.99229 (* x 0.04481)) 1) x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	452	894
1	1706	839
2	5002	827

prune227.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061)))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
0.3b	(* (* x 0.27061) (* x 0.27061))
21.2b	(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
25×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
14×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times` `associate-/r/`
7×	`flip3--` `flip3-+` `associate-r` `associate-l` `flip--` `flip-+`
6×	`associate-*l/`
4×	`times-frac` `associate-r/` `pow-sqr` `pow-prod-up` `associate-/l` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-plus` `div-exp` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`pow2` `frac-2neg` `div-sub` `swap-sqr` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 118

Calls

4 calls:

11.0ms	(* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061)))
10.0ms	(* (+ 0.99229 (* x 0.04481)) x)
9.0ms	(* (* x 0.27061) (* x 0.27061))
12.0ms	(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061))))

series240.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061)))
69.0ms	(* (+ 0.99229 (* x 0.04481)) x)
25.0ms	(* (* x 0.27061) (* x 0.27061))
95.0ms	(/ (- (* 2.30753 2.30753) (* (* x 0.27061) (* x 0.27061))) (* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- 2.30753 (* x 0.27061))))

simplify94.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	657	1216
1	3542	1044
2	5001	996

prune286.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
6.0b	(/ (+ 2.30753 (* x 0.27061)) (* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
14.1b	(* (* (/ (+ 2.30753 (* x 0.27061)) (* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))) 1) (+ 2.30753 (* x 0.27061)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
27×	`add-cbrt-cube`
18×	`prod-exp`
16×	`flip3-+` `flip-+`
15×	`add-sqr-sqrt`
13×	`pow1`
11×	`add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
10×	`frac-times` `associate-*l/`
9×	`associate-r`
8×	`associate-/r/`
7×	`associate-l`
6×	`associate-*r/` `div-exp`
5×	`pow-prod-down`
4×	`cbrt-undiv` `add-log-exp`
3×	`times-frac` `1-exp` `-commutative` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 111

Calls

4 calls:

11.0ms	(* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))
9.0ms	(* (+ 0.99229 (* x 0.04481)) x)
10.0ms	(/ (+ 2.30753 (* x 0.27061)) (* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
71.0ms	(* (* (/ (+ 2.30753 (* x 0.27061)) (* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))) 1) (+ 2.30753 (* x 0.27061)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))
68.0ms	(* (+ 0.99229 (* x 0.04481)) x)
179.0ms	(/ (+ 2.30753 (* x 0.27061)) (* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061))))
56.0ms	(* (* (/ (+ 2.30753 (* x 0.27061)) (* (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (+ 2.30753 (* x 0.27061)))) 1) (+ 2.30753 (* x 0.27061)))

simplify126.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	767	1560
1	4512	1278
2	5001	1192

prune278.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	15
1	31	15
2	31	15

end0.0ms

sample324.0ms

Algorithm

intervals

Results

235.0ms

8000×

body

valid