Details

Time bar (total: 3.3s)

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

localize13.0ms

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)))
13.8b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite63.0ms

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:
2.0ms
(+ 2.30753 (* x 0.27061))
39.0ms
(- (/ (+ 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)))))

series243.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ 2.30753 (* x 0.27061))
85.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
65.0ms
(* x (+ 0.99229 (* x 0.04481)))
60.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify86.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06072052
124301584
250021517

prune353.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) (fma 0.04481 x 0.99229))
0.0b
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229))))) x)
0.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229)))))
3.9b
(log (pow (exp x) (fma 0.04481 x 0.99229)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
102×*-un-lft-identity
73×add-sqr-sqrt
68×add-cube-cbrt
61×times-frac
54×prod-diff
18×fma-neg
16×distribute-lft-out
10×associate-/r/
8×log-prod
7×add-exp-log
6×unpow-prod-down flip3-+ add-cbrt-cube flip-+ add-log-exp
5×pow1 div-inv
4×expm1-log1p-u pow-pow associate-/r* log1p-expm1-u
3×pow-unpow exp-prod rem-log-exp associate-/l*
2×unpow-prod-up pow-to-exp pow-exp fma-udef associate-/l/ difference-of-squares sqr-pow
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num log-pow flip-- distribute-lft-out--
Counts
4 → 170
Calls
4 calls:
2.0ms
(pow (exp x) (fma 0.04481 x 0.99229))
53.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229))))) x)
11.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229)))))
2.0ms
(log (pow (exp x) (fma 0.04481 x 0.99229)))

series621.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(pow (exp x) (fma 0.04481 x 0.99229))
321.0ms
(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229))))) x)
160.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (log (pow (exp x) (fma 0.04481 x 0.99229)))))
111.0ms
(log (pow (exp x) (fma 0.04481 x 0.99229)))

simplify80.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05702536
120351907
250021818

prune438.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (fma 0.04481 x 0.99229) (fma x (fma 0.04481 x 0.99229) (- 1.0)))
0.2b
(pow (* x (+ 0.99229 (* x 0.04481))) 3)
1.8b
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))
23.3b
(fma (fma x (* (fma 0.04481 x 0.99229) (fma x (fma 0.04481 x 0.99229) (- 1.0))) (* 1.0 1.0)) (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3))) (- x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
19×add-sqr-sqrt
17×add-cube-cbrt
15×times-frac
11×add-exp-log add-cbrt-cube
9×pow1
5×associate-/r*
4×expm1-log1p-u sum-cubes log1p-expm1-u distribute-lft-out add-log-exp
3×pow-unpow flip3-+ associate-*r* associate-*l* flip-+ fma-udef associate-/l*
2×cube-div pow-pow associate-*r/ pow-prod-down pow-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ rem-cube-cbrt
1×cbrt-undiv distribute-rgt-in cube-mult pow-to-exp unpow-prod-down frac-2neg distribute-lft-in unpow3 cube-prod div-exp clear-num *-commutative div-inv unswap-sqr sqr-pow
Counts
4 → 99
Calls
4 calls:
3.0ms
(* (fma 0.04481 x 0.99229) (fma x (fma 0.04481 x 0.99229) (- 1.0)))
4.0ms
(pow (* x (+ 0.99229 (* x 0.04481))) 3)
26.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))
0.0ms
(fma (fma x (* (fma 0.04481 x 0.99229) (fma x (fma 0.04481 x 0.99229) (- 1.0))) (* 1.0 1.0)) (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3))) (- x))

series306.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (fma 0.04481 x 0.99229) (fma x (fma 0.04481 x 0.99229) (- 1.0)))
53.0ms
(pow (* x (+ 0.99229 (* x 0.04481))) 3)
83.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3)))
119.0ms
(fma (fma x (* (fma 0.04481 x 0.99229) (fma x (fma 0.04481 x 0.99229) (- 1.0))) (* 1.0 1.0)) (/ (+ 2.30753 (* x 0.27061)) (+ (pow 1.0 3) (pow (* x (+ 0.99229 (* x 0.04481))) 3))) (- x))

simplify83.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06091236
126171072
250011051

prune513.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes18.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample340.0ms

Algorithm
intervals
Results
247.0ms8000×body80valid