Details

Time bar (total: 4.3s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×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
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
15.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite33.0ms

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×distribute-rgt-in associate-+r+ distribute-lft-in 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 distribute-lft-out-- unswap-sqr
Counts
4 → 152
Calls
4 calls:
12.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
3.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
5.0ms
(* x (+ 0.99229 (* x 0.04481)))
6.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series224.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
20.0ms
(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
62.0ms
(* x (+ 0.99229 (* x 0.04481)))
58.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify83.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05922099
124501603
250011541

prune356.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b
(pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
15.7b
(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
20.3b
(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×cbrt-prod
26×unpow-prod-down cube-prod
9×add-exp-log add-cbrt-cube
5×pow1 div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube fma-udef
Counts
4 → 131
Calls
4 calls:
1.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
4.0ms
(pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
3.0ms
(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
4.0ms
(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

series244.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
90.0ms
(pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3)
59.0ms
(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))
65.0ms
(cbrt (pow (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 3))

simplify64.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04471174
120071079
250011067

prune314.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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)
2.6b
(/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061))))
4.7b
(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061)))))

rewrite39.0ms

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)))
1.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
6.0ms
(/ (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)))))

series259.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(sqrt (+ 2.30753 (* x 0.27061)))
30.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
126.0ms
(/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061))))
67.0ms
(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (sqrt (+ 2.30753 (* x 0.27061)))))

simplify125.0ms

Algorithm
egg-herbie
Counts
275 → 275
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08454694
138824286
250014239

prune611.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 2.30753 (* x 0.27061)))
0.2b
(cbrt (+ 2.30753 (* x 0.27061)))
2.6b
(/ (fma x (fma 0.04481 x 0.99229) 1.0) (* (fabs (cbrt (+ 2.30753 (* x 0.27061)))) (sqrt (cbrt (+ 2.30753 (* x 0.27061))))))
4.7b
(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* (fabs (cbrt (+ 2.30753 (* x 0.27061)))) (sqrt (cbrt (+ 2.30753 (* x 0.27061)))))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×sqrt-prod
20×cbrt-div
18×add-exp-log sqrt-div add-cbrt-cube
17×associate-/r/
16×associate-*r/
11×flip3-+ flip-+
10×associate-/r*
9×div-inv associate-/l*
7×cbrt-undiv div-exp
6×cbrt-prod
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg pow1/3 prod-exp clear-num cbrt-unprod associate-/l/
Counts
4 → 145
Calls
4 calls:
2.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
2.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
7.0ms
(/ (fma x (fma 0.04481 x 0.99229) 1.0) (* (fabs (cbrt (+ 2.30753 (* x 0.27061)))) (sqrt (cbrt (+ 2.30753 (* x 0.27061))))))
13.0ms
(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* (fabs (cbrt (+ 2.30753 (* x 0.27061)))) (sqrt (cbrt (+ 2.30753 (* x 0.27061)))))))

series655.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
123.0ms
(cbrt (+ 2.30753 (* x 0.27061)))
206.0ms
(/ (fma x (fma 0.04481 x 0.99229) 1.0) (* (fabs (cbrt (+ 2.30753 (* x 0.27061)))) (sqrt (cbrt (+ 2.30753 (* x 0.27061))))))
199.0ms
(/ (sqrt (+ 2.30753 (* x 0.27061))) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* (fabs (cbrt (+ 2.30753 (* x 0.27061)))) (sqrt (cbrt (+ 2.30753 (* x 0.27061)))))))

simplify114.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
010243375
145013064
250013060

prune711.0ms

Pruning

3 alts after pruning (0 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
0147

end0.0ms

sample335.0ms

Algorithm
intervals
Results
248.0ms8000×body80valid