Details

Time bar (total: 21.2s)

sample85.0ms

Algorithm
intervals
Results
37.0ms132×body160valid
26.0ms124×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08236
129236
296836
3449936
4500236

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))
0.4b
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
14.5b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
15×associate-*l*
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×pow1
5×flip3-+ flip-+
4×associate-/r/
3×associate-*r* associate-/r* associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times associate-+r+ distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative sub-neg flip3-- frac-2neg diff-log pow-prod-down associate-*l/ clear-num sum-log *-commutative flip--
Counts
4 → 94
Calls
4 calls:
4.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
16.0ms
(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))
2.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
2.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
116.0ms
(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))
303.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
833.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

simplify101.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
07402265
137152053
250012052

prune445.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 14.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.1b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.4b
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
14.5b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-+ flip-+
2×cbrt-undiv associate-+r+ frac-2neg div-exp clear-num div-inv
1×+-commutative distribute-rgt-in sub-neg flip3-- distribute-lft-in diff-log sum-log flip--
Counts
4 → 83
Calls
4 calls:
4.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
4.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
2.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
2.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
34.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
304.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
840.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

simplify64.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04422038
120391858
250011851

prune436.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 14.5b

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
0.5b
(* (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) (+ (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 1.0))
0.8b
(pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)
13.9b
(- (pow 1.0 3) (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
100×frac-times
50×associate-*l/
44×flip3-+ flip-+
34×associate-*r/
28×exp-neg add-cbrt-cube
24×neg-sub0 exp-diff
22×add-exp-log
19×pow1
18×cube-div
16×add-sqr-sqrt
14×prod-exp cbrt-unprod
9×pow-prod-down
8×*-un-lft-identity add-log-exp difference-of-squares
7×sqr-pow
6×add-cube-cbrt
4×pow-exp un-div-inv rem-cube-cbrt
3×unpow-prod-down pow-unpow pow-pow cube-prod associate-*r*
2×cbrt-undiv distribute-rgt-in associate-+r+ distribute-lft-in div-exp
1×difference-cubes +-commutative cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 associate-*l* sum-log *-commutative flip-- distribute-lft-out--
Counts
4 → 161
Calls
4 calls:
2.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
182.0ms
(* (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) (+ (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 1.0))
27.0ms
(pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)
12.0ms
(- (pow 1.0 3) (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3))

series5.7s

Counts
4 → 12
Calls
4 calls:
310.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
1.5s
(* (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) (+ (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 1.0))
622.0ms
(pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)
3.2s
(- (pow 1.0 3) (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3))

simplify191.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0179218392
1500117516

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 13.7b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) (+ (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 1.0))
0.8b
(pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)
0.8b
(pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)
13.9b
(- (pow 1.0 3) (* (sqrt (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)) (sqrt (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3))))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
116×frac-times
58×associate-*l/
49×flip3-+ flip-+
42×associate-*r/
38×add-cbrt-cube
36×cube-div
35×exp-neg
30×neg-sub0 exp-diff
29×add-exp-log
25×pow1
19×prod-exp cbrt-unprod
12×pow-prod-down
10×add-sqr-sqrt
8×pow-exp rem-cube-cbrt
7×add-cube-cbrt *-un-lft-identity
6×pow-unpow pow-pow add-log-exp
5×un-div-inv
4×difference-of-squares
3×cbrt-undiv unpow-prod-down cube-prod div-exp associate-*r* sqr-pow
2×cube-mult pow-to-exp unpow3
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in diff-log associate-*l* *-commutative flip--
Counts
4 → 187
Calls
4 calls:
181.0ms
(* (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) (+ (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 1.0))
30.0ms
(pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)
27.0ms
(pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)
12.0ms
(- (pow 1.0 3) (* (sqrt (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)) (sqrt (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3))))

series6.2s

Counts
4 → 12
Calls
4 calls:
1.5s
(* (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) (+ (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 1.0))
605.0ms
(pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)
601.0ms
(pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)
3.5s
(- (pow 1.0 3) (* (sqrt (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)) (sqrt (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3))))

simplify204.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0177420706
1500119238

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 13.6b

regimes194.0ms

Accuracy

0% (0.0b remaining)

Error of 13.1b against oracle of 13.0b and baseline of 13.1b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067262
167262

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s3974×body160valid
673.0ms4026×body80valid