Details

Time bar (total: 12.3s)

analyze2.0ms

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

sample61.0ms

Algorithm
intervals
Results
37.0ms130×body160valid
16.0ms126×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
0497363
1497363

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.4b

Counts
2 → 2

localize27.0ms

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)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))
0.5b
(+ 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))))))))
14.4b
(- 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 (neg (* (fabs x) (fabs x))))))

rewrite24.0ms

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 → 93
Calls
4 calls:
5.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
10.0ms
(* (/ 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)))))
4.0ms
(+ 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))))))))
3.0ms
(- 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 (neg (* (fabs x) (fabs x))))))

series314.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
47.0ms
(* (/ 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)))))
69.0ms
(+ 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))))))))
189.0ms
(- 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 (neg (* (fabs x) (fabs x))))))

simplify52.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
052314063

prune421.0ms

Filtered
81 candidates to 105 candidates (-29.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1005105
Fresh101
Picked101
Done000
Total1025107

Merged error: 14.4b

Counts
107 → 5

localize228.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))
0.3b
(/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2))
0.5b
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))))))
14.4b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))))))) (exp (neg (* (fabs x) (fabs x))))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
39×times-frac
31×add-sqr-sqrt add-cube-cbrt
12×unpow-prod-down
11×add-exp-log associate-/r*
8×add-cbrt-cube distribute-lft-out associate-/l* add-log-exp
4×pow1 div-exp distribute-lft-out-- unpow2 sqr-pow
3×flip3-+ flip-+
2×cbrt-undiv associate-+r+ frac-2neg clear-num associate-/r/ div-inv associate-/l/
1×+-commutative distribute-rgt-in pow-to-exp associate-+r- sub-neg flip3-- distribute-lft-in diff-log div-sub pow-exp sum-log flip--
Counts
4 → 113
Calls
4 calls:
33.0ms
(/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))
6.0ms
(/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2))
4.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))))))
3.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))))))) (exp (neg (* (fabs x) (fabs x))))))

series313.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))
15.0ms
(/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2))
69.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))))))
189.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))))))) (exp (neg (* (fabs x) (fabs x))))))

simplify54.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
053464398

prune437.0ms

Filtered
82 candidates to 125 candidates (-52.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1205125
Fresh314
Picked101
Done000
Total1246130

Merged error: 14.4b

Counts
130 → 6

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))))))
0.5b
(* (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2))) (+ 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2))))))
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 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2)))) 3)
13.8b
(- (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 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2)))) 3))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×add-cbrt-cube
19×add-exp-log
15×*-un-lft-identity
13×add-cube-cbrt associate-*l*
10×times-frac
9×pow1
8×add-log-exp difference-of-squares
7×sqr-pow
6×prod-exp cbrt-unprod
5×cbrt-undiv div-exp pow-exp rem-cube-cbrt
3×cube-div frac-times unpow-prod-down pow-unpow flip3-+ cube-prod associate-*r/ associate-*r* flip-+
2×distribute-rgt-in associate-+r+ pow-pow distribute-lft-in pow-prod-down associate-*l/ unswap-sqr
1×difference-cubes +-commutative cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 sum-log *-commutative flip-- div-inv distribute-lft-out--
Counts
4 → 103
Calls
4 calls:
4.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))))))
12.0ms
(* (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2))) (+ 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2))))))
13.0ms
(pow (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 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 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2)))) 3))

series1.4s

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x))))))))
369.0ms
(* (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2))) (+ 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2))))))
179.0ms
(pow (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2)))) 3)
814.0ms
(- (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 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2)))) 3))

simplify88.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
0497810599
1497810599

prune2.1s

Filtered
85 candidates to 115 candidates (-35.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1123115
Fresh235
Picked101
Done000
Total1156121

Merged error: 13.6b

Counts
121 → 6

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2))) (+ 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2))))))
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 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2)))) 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 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2)))) 3)
13.8b
(- (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 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2)))) 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 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2)))) 3))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
35×add-cbrt-cube
30×add-exp-log
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×associate-*l*
12×pow1
10×times-frac pow-exp prod-exp cbrt-unprod rem-cube-cbrt
9×cbrt-undiv div-exp
6×cube-div pow-unpow add-log-exp
4×frac-times pow-pow associate-*r/ difference-of-squares
3×unpow-prod-down cube-prod associate-*r* pow-prod-down associate-*l/ sqr-pow
2×cube-mult pow-to-exp flip3-+ unpow3 flip-+ unswap-sqr
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in diff-log *-commutative flip-- div-inv
Counts
4 → 115
Calls
4 calls:
12.0ms
(* (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2))) (+ 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2))))))
13.0ms
(pow (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2)))) 3)
18.0ms
(pow (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 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 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2)))) 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 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 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:
371.0ms
(* (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2))) (+ 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2))))))
183.0ms
(pow (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2)))) 3)
182.0ms
(pow (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* 1.0 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2)))) 3)
824.0ms
(- (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 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2)))) 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 (/ (+ 1.421413741 (- (/ 1.061405429 (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (/ 1.453152027 (+ 1.0 (* 0.3275911 (fabs x)))))) (+ 1.0 (* 0.3275911 (fabs x)))))))) (exp (pow (fabs x) 2)))) 3))))

simplify86.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
0499310716
1499310716

prune3.1s

Filtered
89 candidates to 127 candidates (-42.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1261127
Fresh055
Picked101
Done000
Total1276133

Merged error: 13.6b

Counts
133 → 6

regimes154.0ms

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 (1.0ms)

IterNodesCost
086254
186254

end0.0ms

sample1.6s

Algorithm
intervals
Results
993.0ms3881×body160valid
539.0ms4119×body80valid

Profiling

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