Details

Time bar (total: 3.3s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0319
1519
2699
3869
4949
51059
61399
71779
82029
92469
104169
116159
129929
1319489
1422409
1531549
1650019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
17.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log times-frac add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×flip3-+ associate-*r/ flip-+
3×distribute-rgt-in distribute-lft-in associate-/r* associate-/l*
2×sub-neg pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
4 → 91
Calls
4 calls:
3.0ms
(+ 2.30753 (* x 0.27061))
12.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series240.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ 2.30753 (* x 0.27061))
91.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
61.0ms
(* x (+ 0.99229 (* x 0.04481)))
57.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify63.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0516893
12218827
25002827

prune223.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.70711 (- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.5b
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
17.1b
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log associate-*r*
20×times-frac
15×add-cbrt-cube
11×pow1
9×associate-*l*
6×prod-exp
5×flip3-+ associate-*r/ flip-+ unswap-sqr
4×div-exp associate-/r/ cbrt-unprod add-log-exp
3×distribute-rgt-in distribute-lft-in pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times sub-neg rec-exp 1-exp associate-*l/ div-inv
1×flip3-- pow-flip frac-2neg clear-num un-div-inv flip-- inv-pow
Counts
4 → 121
Calls
4 calls:
11.0ms
(* 0.70711 (- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
7.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
10.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

series255.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* 0.70711 (- (* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) x))
62.0ms
(* x (+ 0.99229 (* x 0.04481)))
42.0ms
(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
57.0ms
(* (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))

simplify81.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06491234
132011103
250021077

prune268.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (* 0.70711 (- x)))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.2b
(* 0.70711 (+ 2.30753 (* x 0.27061)))
17.7b
(/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
8×pow1
6×associate-*r/ associate-*r* associate-*l* add-log-exp
5×flip3-+ flip-+
3×times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-/r/ *-commutative distribute-rgt-neg-out associate-/l/ unswap-sqr
1×+-commutative frac-2neg unsub-neg clear-num sum-log div-inv associate-/l*
Counts
4 → 82
Calls
4 calls:
8.0ms
(+ (/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (* 0.70711 (- x)))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
5.0ms
(* 0.70711 (+ 2.30753 (* x 0.27061)))
7.0ms
(/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series305.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(+ (/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (* 0.70711 (- x)))
64.0ms
(* x (+ 0.99229 (* x 0.04481)))
54.0ms
(* 0.70711 (+ 2.30753 (* x 0.27061)))
66.0ms
(/ (* 0.70711 (+ 2.30753 (* x 0.27061))) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0567761
12783679
25001678

prune213.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
0.2b
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
17.1b
(* (+ 2.30753 (* x 0.27061)) (* (/ 1 (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481))))))
24.1b
(* (/ 1 (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
51×pow1
44×add-exp-log
32×add-cbrt-cube
30×add-sqr-sqrt
27×associate-*r/
26×times-frac
24×*-un-lft-identity
23×add-cube-cbrt
22×frac-times associate-*l*
21×pow-prod-down prod-exp
15×cbrt-unprod
14×distribute-rgt-in distribute-lft-in
12×flip3-+ flip-+
10×flip3-- flip--
8×associate-*l/
7×difference-of-squares
6×sub-neg div-exp
5×associate-*r*
4×associate-/r* associate-/r/ pow-sqr pow-prod-up add-log-exp
3×cbrt-undiv rec-exp 1-exp *-commutative associate-/l* unswap-sqr
2×pow-plus div-inv
1×pow2 pow-flip frac-2neg swap-sqr clear-num inv-pow
Counts
4 → 178
Calls
4 calls:
5.0ms
(/ 1 (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
10.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
13.0ms
(* (+ 2.30753 (* x 0.27061)) (* (/ 1 (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481))))))
11.0ms
(* (/ 1 (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series315.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ 1 (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))))
38.0ms
(* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481))))
122.0ms
(* (+ 2.30753 (* x 0.27061)) (* (/ 1 (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481))))))
87.0ms
(* (/ 1 (- (* 1.0 1.0) (* (* x (+ 0.99229 (* x 0.04481))) (* x (+ 0.99229 (* x 0.04481)))))) (- 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
010023112
150022770

prune460.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

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)

IterNodesCost
02911
13311
23411
33411

end0.0ms

sample380.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid