Details

Time bar (total: 4.0s)

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0288
1508
2698
3758
4758

prune2.0ms

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
(+ 0.99229 (* x 0.04481))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.4b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
46×times-frac
45×prod-diff
15×fma-neg
10×associate-/r/
8×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
6×pow1
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×fma-def associate-*r* associate-*l* associate-/r* associate-/l*
2×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 distribute-lft-out-- unswap-sqr
Counts
4 → 150
Calls
4 calls:
3.0ms
(+ 0.99229 (* x 0.04481))
42.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
10.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series248.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ 0.99229 (* x 0.04481))
87.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
61.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify88.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06042053
123921582
250021499

prune346.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (fma 0.27061 x 2.30753) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
14.7b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.7b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.7b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
270×times-frac
148×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
147×cbrt-prod
24×associate-/l*
22×cbrt-div
16×associate-/r/
11×flip3-+ flip-+
9×add-exp-log
8×div-inv
6×associate-/r* add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×frac-2neg clear-num associate-/l/
Counts
4 → 238
Calls
4 calls:
17.0ms
(/ (/ (fma 0.27061 x 2.30753) (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)))))

series638.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(/ (/ (fma 0.27061 x 2.30753) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
147.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
148.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
141.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify122.0ms

Algorithm
egg-herbie
Counts
250 → 250
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
010146059
137625923
250015790

prune710.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 2.30753 (* x 0.27061)))
0.1b
(fma x (fma 0.04481 x 0.99229) 1.0)
1.6b
(/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061))))
5.2b
(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
162×add-sqr-sqrt
161×add-cube-cbrt *-un-lft-identity
153×sqrt-prod
30×associate-/r*
20×sqrt-div
17×associate-/r/
11×add-exp-log add-cbrt-cube
10×flip3-+ flip-+
9×div-inv associate-/l*
5×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/l/
1×rem-sqrt-square sqrt-pow1 pow1/2 fma-udef
Counts
4 → 263
Calls
4 calls:
3.0ms
(sqrt (+ 2.30753 (* x 0.27061)))
0.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
10.0ms
(/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061))))
16.0ms
(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061)))))

series271.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(sqrt (+ 2.30753 (* x 0.27061)))
26.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
132.0ms
(/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061))))
69.0ms
(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061)))))

simplify128.0ms

Algorithm
egg-herbie
Counts
275 → 275
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08454694
138824286
250014239

prune794.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes32.0ms

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
0208
1208

end0.0ms

sample357.0ms

Algorithm
intervals
Results
265.0ms8000×body80valid