Details

Time bar (total: 3.6s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0288
1428
2508
3508

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
17.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite26.0ms

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-*r/ associate-/r/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in 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 → 79
Calls
4 calls:
3.0ms
(+ 2.30753 (* x 0.27061))
10.0ms
(- (/ (+ 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)))))

series254.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ 2.30753 (* x 0.27061))
89.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
64.0ms
(* x (+ 0.99229 (* x 0.04481)))
62.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0441781
11821736
25002736

prune208.0ms

Filtered
91 candidates to 68 candidates (74.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

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 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

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 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

series451.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
126.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
132.0ms
(cbrt (+ 0.99229 (* x 0.04481)))
62.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (* x (* (cbrt (+ 0.99229 (* x 0.04481))) (cbrt (+ 0.99229 (* x 0.04481))))) (cbrt (+ 0.99229 (* x 0.04481))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04501361
116231253
250011183

prune434.0ms

Filtered
82 candidates to 73 candidates (89.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

9.4b
(* (/ 1 (* (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)))))))
18.3b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
18.3b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
18.3b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
25.0ms
(* (/ 1 (* (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)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series515.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (/ 1 (* (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)))))))
146.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
151.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
152.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify95.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07612759
137612417
250022216

prune412.0ms

Filtered
131 candidates to 95 candidates (72.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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-*r/ associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in pow-to-exp pow-pow frac-2neg distribute-lft-in 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 → 149
Calls
4 calls:
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
4.0ms
(pow (+ 2.30753 (* x 0.27061)) 3)
9.0ms
(/ (cbrt (pow (+ 2.30753 (* x 0.27061)) 3)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
4.0ms
(cbrt (pow (+ 2.30753 (* x 0.27061)) 3))

series206.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* x (+ 0.99229 (* x 0.04481)))
36.0ms
(pow (+ 2.30753 (* x 0.27061)) 3)
63.0ms
(/ (cbrt (pow (+ 2.30753 (* x 0.27061)) 3)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
39.0ms
(cbrt (pow (+ 2.30753 (* x 0.27061)) 3))

simplify78.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05381636
124881521
250011505

prune299.0ms

Filtered
161 candidates to 88 candidates (54.7%)
Pruning

4 alts after pruning (1 fresh and 3 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

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02417
12417

end0.0ms

sample340.0ms

Algorithm
intervals
Results
250.0ms8000×body80valid