Details

Time bar (total: 3.5s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0228
1338
2568
3728
4788
51008
61288
71618
81908
93508
106448
1110128
1222588
1350018

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
17.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite24.0ms

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:
3.0ms
(+ 2.30753 (* x 0.27061))
8.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
5.0ms
(* (+ 0.99229 (* x 0.04481)) x)
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ 2.30753 (* x 0.27061))
85.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
65.0ms
(* (+ 0.99229 (* x 0.04481)) x)
58.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0422785
11574737
25001731

prune202.0ms

Filtered
89 candidates to 67 candidates (75.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (+ 0.99229 (* x 0.04481)))
0.7b
(cbrt (+ 0.99229 (* x 0.04481)))
0.7b
(cbrt (+ 0.99229 (* x 0.04481)))
17.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log cbrt-div add-cbrt-cube
5×flip3-+ flip-+
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 70
Calls
4 calls:
2.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
2.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
2.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x))))

series447.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
125.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
120.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
60.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x))))

simplify51.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04511361
116431261
250021187

prune309.0ms

Filtered
82 candidates to 73 candidates (89.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

10.7b
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x)))) (cbrt (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x))))))
18.3b
(cbrt (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x))))
18.3b
(cbrt (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x))))
18.3b
(cbrt (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
11.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x)))) (cbrt (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x))))))
2.0ms
(cbrt (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x))))
2.0ms
(cbrt (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x))))
2.0ms
(cbrt (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x))))

series642.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(/ (+ 2.30753 (* x 0.27061)) (* (cbrt (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x)))) (cbrt (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x))))))
143.0ms
(cbrt (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x))))
143.0ms
(cbrt (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x))))
137.0ms
(cbrt (+ 1.0 (* (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481)))) (* (cbrt (+ 0.99229 (* x 0.04481))) x))))

simplify75.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05292647
116462422
250012326

prune360.0ms

Filtered
82 candidates to 72 candidates (87.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ 0.99229 (* x 0.04481)) x)
0.1b
(pow (+ 2.30753 (* x 0.27061)) 3)
17.8b
(/ (cbrt (pow (+ 2.30753 (* x 0.27061)) 3)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
21.9b
(cbrt (pow (+ 2.30753 (* x 0.27061)) 3))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
46×add-sqr-sqrt
45×times-frac
44×add-cube-cbrt *-un-lft-identity
18×unpow-prod-down cube-prod
15×associate-/l*
9×add-exp-log
8×add-cbrt-cube
7×pow1
6×cube-div cube-mult unpow3 sqr-pow
5×flip3-+ flip-+
4×cbrt-div add-log-exp
3×pow-unpow associate-*r* associate-*l* associate-/r*
2×associate-*l/ associate-/r/ associate-/l/
1×cbrt-undiv pow-to-exp pow-pow frac-2neg pow1/3 div-exp pow-prod-down pow-exp prod-exp clear-num *-commutative rem-cbrt-cube cbrt-unprod div-inv rem-cube-cbrt unswap-sqr
Counts
4 → 147
Calls
4 calls:
5.0ms
(* (+ 0.99229 (* x 0.04481)) x)
4.0ms
(pow (+ 2.30753 (* x 0.27061)) 3)
9.0ms
(/ (cbrt (pow (+ 2.30753 (* x 0.27061)) 3)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
4.0ms
(cbrt (pow (+ 2.30753 (* x 0.27061)) 3))

series192.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (+ 0.99229 (* x 0.04481)) x)
39.0ms
(pow (+ 2.30753 (* x 0.27061)) 3)
60.0ms
(/ (cbrt (pow (+ 2.30753 (* x 0.27061)) 3)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
32.0ms
(cbrt (pow (+ 2.30753 (* x 0.27061)) 3))

simplify76.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05161633
122621517
250011501

prune288.0ms

Filtered
159 candidates to 88 candidates (55.3%)
Pruning

4 alts after pruning (1 fresh and 3 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)

IterNodesCost
02417
12417

end0.0ms

sample336.0ms

Algorithm
intervals
Results
243.0ms8000×body80valid