Details

Time bar (total: 8.9s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify117.0ms

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

localize11.0ms

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)))
11.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite91.0ms

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:
2.0ms
(+ 2.30753 (* x 0.27061))
70.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series254.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ 2.30753 (* x 0.27061))
97.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
65.0ms
(* x (+ 0.99229 (* x 0.04481)))
59.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0516893
12218827
25002827

prune242.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
11.3b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r*
13×add-exp-log add-cbrt-cube
8×pow1
6×associate-*l* add-log-exp
5×flip3-+ flip-+
4×associate-/r/
3×associate-*r/ prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative div-inv associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in clear-num sum-log
Counts
4 → 98
Calls
4 calls:
2.0ms
(+ 2.30753 (* x 0.27061))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
18.0ms
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series230.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ 2.30753 (* x 0.27061))
66.0ms
(* x (+ 0.99229 (* x 0.04481)))
70.0ms
(* 0.70711 (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
55.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify77.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0525973
12425877
25001877

prune281.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (/ 0.70711 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
11.6b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
11.6b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
11.6b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
24×associate-*r*
22×add-cube-cbrt *-un-lft-identity
20×cbrt-prod cbrt-div
18×add-cbrt-cube
15×associate-*l*
10×flip3-+ associate-/r/ flip-+
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 108
Calls
4 calls:
49.0ms
(* (/ 0.70711 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
5.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series507.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (/ 0.70711 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
140.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
146.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
147.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify97.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07312540
134532247
250012113

prune483.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
11.6b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
11.6b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
11.6b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
2664×times-frac
1344×cbrt-prod
1198×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
150×associate-/l*
106×cbrt-div
100×associate-/r/
53×flip3-+ flip-+
50×div-inv
13×add-exp-log
7×add-cbrt-cube
6×cbrt-undiv div-exp associate-/r*
4×pow1 add-log-exp
3×pow1/3
1×frac-2neg clear-num associate-/l/
Counts
4 → 1114
Calls
4 calls:
70.0ms
(/ (/ (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series500.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(/ (/ (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
146.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
147.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
144.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify466.0ms

Algorithm
egg-herbie
Counts
1126 → 1126
Iterations

Useful iterations: 1 (55.0ms)

IterNodesCost
0357446572
1500145907

prune4.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes18.0ms

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
03224
13624
23724
33724

end0.0ms

sample352.0ms

Algorithm
intervals
Results
256.0ms8000×body80valid