Details

Time bar (total: 15.7s)

analyze1.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1

sample57.0ms

Algorithm
intervals
Results
31.0ms111×body160valid
18.0ms145×body80valid

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0502563

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 12.1b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))
0.4b
(+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))))
12.1b
(- 1.0 (* 1.0 (/ (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))) (pow (exp (fabs x)) (fabs x)))))

rewrite26.0ms

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*
5×flip3-+ flip-+
4×pow1 associate-/r/ associate-/l/
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg flip3-- diff-log sum-log flip--
Counts
4 → 84
Calls
4 calls:
7.0ms
(/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))
9.0ms
(/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))
4.0ms
(+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))))
3.0ms
(- 1.0 (* 1.0 (/ (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))) (pow (exp (fabs x)) (fabs x)))))

series475.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))
94.0ms
(/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))
71.0ms
(+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))))
291.0ms
(- 1.0 (* 1.0 (/ (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))) (pow (exp (fabs x)) (fabs x)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
053365330

prune467.0ms

Filtered
75 candidates to 96 candidates (-28.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New93396
Fresh000
Picked101
Done000
Total94397

Merged error: 12.1b

Counts
97 → 3

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))))
0.4b
(* (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))) (+ 1.0 (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))))))
0.7b
(pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3)
11.6b
(- (pow 1.0 3) (pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube
21×add-exp-log
20×add-sqr-sqrt
10×*-un-lft-identity
9×pow1 associate-*l*
8×add-cube-cbrt prod-exp cbrt-unprod add-log-exp difference-of-squares
7×sqr-pow
4×cbrt-undiv flip3-+ div-exp pow-exp flip-+ rem-cube-cbrt
3×unpow-prod-down pow-unpow times-frac cube-prod associate-*r/ associate-*r* associate-*l/
2×frac-times pow-pow pow-prod-down associate-/r/
1×difference-cubes +-commutative cube-div distribute-rgt-in cube-mult pow-to-exp sub-neg flip3-- distribute-lft-in diff-log unpow3 sum-log *-commutative flip-- div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 94
Calls
4 calls:
4.0ms
(+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))))
16.0ms
(* (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))) (+ 1.0 (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))))))
13.0ms
(pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3)
10.0ms
(- (pow 1.0 3) (pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3))

series1.5s

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))))
390.0ms
(* (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))) (+ 1.0 (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))))))
182.0ms
(pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3)
820.0ms
(- (pow 1.0 3) (pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3))

simplify68.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
0500110405

prune1.7s

Filtered
76 candidates to 106 candidates (-39.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1033106
Fresh112
Picked011
Done000
Total1045109

Merged error: 11.4b

Counts
109 → 5

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))) (+ 1.0 (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))))))
0.7b
(pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3)
0.7b
(pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3)
11.6b
(- (pow 1.0 3) (* (sqrt (pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3)) (sqrt (pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
33×add-cbrt-cube
30×add-exp-log
14×add-sqr-sqrt
12×pow1 prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity associate-*l*
8×pow-exp rem-cube-cbrt
6×cbrt-undiv pow-unpow div-exp add-log-exp
4×pow-pow associate-*r/ difference-of-squares
3×unpow-prod-down flip3-+ times-frac cube-prod associate-*r* pow-prod-down associate-*l/ flip-+ sqr-pow
2×cube-div cube-mult frac-times pow-to-exp unpow3 associate-/r/
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in diff-log *-commutative flip-- div-inv unswap-sqr
Counts
4 → 104
Calls
4 calls:
19.0ms
(* (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))) (+ 1.0 (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))))))
13.0ms
(pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3)
13.0ms
(pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3)
9.0ms
(- (pow 1.0 3) (* (sqrt (pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3)) (sqrt (pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3))))

series1.6s

Counts
4 → 12
Calls
4 calls:
377.0ms
(* (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))) (+ 1.0 (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))))))
192.0ms
(pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3)
183.0ms
(pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3)
813.0ms
(- (pow 1.0 3) (* (sqrt (pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3)) (sqrt (pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3))))

simplify90.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
0501510360

prune2.4s

Filtered
78 candidates to 116 candidates (-48.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh033
Picked011
Done011
Total1165121

Merged error: 11.4b

Counts
121 → 5

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))) (+ 1.0 (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))))))
0.7b
(pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3)
11.6b
(- (pow 1.0 3) (pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3))
11.7b
(log (exp (- (pow 1.0 3) (pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
23×add-cbrt-cube
21×add-exp-log
16×difference-of-squares
14×*-un-lft-identity log-pow
13×exp-prod sqr-pow
10×pow1 add-cube-cbrt
9×associate-*l*
8×prod-exp cbrt-unprod
6×add-log-exp
5×unpow-prod-down cube-prod
4×cbrt-undiv log-prod div-exp pow-exp rem-cube-cbrt
3×pow-unpow flip3-+ times-frac associate-*r/ associate-*r* associate-*l/ flip-+
2×difference-cubes frac-times sub-neg pow-pow pow-prod-down associate-/r/ distribute-lft-out--
1×cube-div distribute-rgt-in cube-mult pow-to-exp log-div flip3-- distribute-lft-in exp-diff diff-log unpow3 rem-log-exp exp-sum *-commutative flip-- div-inv unswap-sqr
Counts
4 → 110
Calls
4 calls:
16.0ms
(* (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))) (+ 1.0 (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))))))
13.0ms
(pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3)
9.0ms
(- (pow 1.0 3) (pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3))
12.0ms
(log (exp (- (pow 1.0 3) (pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3))))

series2.2s

Counts
4 → 12
Calls
4 calls:
378.0ms
(* (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))) (+ 1.0 (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2)))))))
179.0ms
(pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3)
795.0ms
(- (pow 1.0 3) (pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3))
800.0ms
(log (exp (- (pow 1.0 3) (pow (* 1.0 (/ (+ 0.254829592 (* 1.0 (/ (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (* 1.0 (/ (+ -1.453152027 (* 1.0 (/ 1.061405429 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))) (* (+ 1.0 (* 0.3275911 (fabs x))) (exp (pow (fabs x) 2))))) 3))))

simplify81.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0496912270
1496912270

prune3.0s

Filtered
88 candidates to 122 candidates (-38.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1211122
Fresh112
Picked011
Done022
Total1225127

Merged error: 11.4b

Counts
127 → 5

regimes151.0ms

Accuracy

0% (0.0b remaining)

Error of 12.9b against oracle of 12.9b and baseline of 12.9b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0168259
1168259

end0.0ms

sample1.6s

Algorithm
intervals
Results
960.0ms3873×body160valid
527.0ms4127×body80valid

Profiling

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