Details

sample27.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify78.0ms

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	(+ 2.30753 (* x 0.27061))
0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* (+ 0.99229 (* x 0.04481)) x)
14.6b	(/ (+ 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:

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

series202.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ 2.30753 (* x 0.27061))
32.0ms	(+ 0.99229 (* x 0.04481))
69.0ms	(* (+ 0.99229 (* x 0.04481)) x)
63.0ms	(/ (+ 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 (37.0ms)

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

prune184.0ms

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	(* (+ 0.99229 (* x 0.04481)) x)
0.2b	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
2.1b	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))
18.8b	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

7.0ms	(* (+ 0.99229 (* x 0.04481)) x)
21.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
10.0ms	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))
23.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (+ 0.99229 (* x 0.04481)) x)
42.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
73.0ms	(/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))
116.0ms	(* (/ (+ 2.30753 (* x 0.27061)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))) (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify103.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	733	2154
1	3642	1936
2	5001	1934

prune520.0ms

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)
0.2b	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
14.3b	(* (+ 2.30753 (* x 0.27061)) (/ (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))))
20.7b	(/ (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 139

Calls

4 calls:

7.0ms	(* (+ 0.99229 (* x 0.04481)) x)
19.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
22.0ms	(* (+ 2.30753 (* x 0.27061)) (/ (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))))
8.0ms	(/ (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))

series303.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (+ 0.99229 (* x 0.04481)) x)
39.0ms	(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
113.0ms	(* (+ 2.30753 (* x 0.27061)) (/ (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)))))
91.0ms	(/ (- 1.0 (* (+ 0.99229 (* x 0.04481)) x)) (- (* 1.0 1.0) (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))))

simplify110.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	722	2169
1	3808	1880
2	5002	1767

prune327.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

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	20	8
1	20	8

end0.0ms

sample685.0ms

Algorithm

intervals

Results

589.0ms

8000×

body

valid