Details

Time bar (total: 13.1s)

analyze2.0ms

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

sample52.0ms

Algorithm
intervals
Results
27.0ms113×body160valid
17.0ms143×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
0497363
1497363

prune15.0ms

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: 12.4b

Counts
2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(/ 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)))) 1.061405429))))))))
12.3b
(- 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)))))))) (pow (exp (fabs x)) (fabs x)))))

rewrite19.0ms

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 → 82
Calls
4 calls:
5.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
5.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
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)))))))) (pow (exp (fabs x)) (fabs x)))))

series399.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
10.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
72.0ms
(+ 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))))))))
308.0ms
(- 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)))))))) (pow (exp (fabs x)) (fabs x)))))

simplify35.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050802871

prune371.0ms

Filtered
72 candidates to 94 candidates (-30.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New87794
Fresh101
Picked101
Done000
Total89796

Merged error: 12.3b

Counts
96 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))
0.4b
(cbrt (/ 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 (* (* (* (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))) (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))
12.3b
(- 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 (* (* (* (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))) (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429)))))))) (pow (exp (fabs x)) (fabs x)))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
8×add-log-exp
4×pow1 add-exp-log associate-/r/ add-cbrt-cube
3×flip3-+ flip-+
2×cbrt-div associate-+r+ pow1/3 div-inv
1×+-commutative distribute-rgt-in sub-neg flip3-- distribute-lft-in diff-log sum-log flip--
Counts
4 → 72
Calls
4 calls:
5.0ms
(cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))
5.0ms
(cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))
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 (* (* (* (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))) (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (cbrt (/ 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 (* (* (* (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))) (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429)))))))) (pow (exp (fabs x)) (fabs x)))))

series476.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))
39.0ms
(cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))
82.0ms
(+ 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 (* (* (* (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))) (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))
317.0ms
(- 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 (* (* (* (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))) (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) (cbrt (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429)))))))) (pow (exp (fabs x)) (fabs x)))))

simplify35.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
049972969
149972969

prune391.0ms

Filtered
65 candidates to 84 candidates (-29.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh066
Picked011
Done000
Total84791

Merged error: 12.3b

Counts
91 → 7

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* (/ 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))))))) 0.254829592)
0.5b
(/ (+ (pow 0.254829592 3) (pow (* (/ 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)) (+ (* 0.254829592 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)))))) (- (* (/ 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))))))) 0.254829592)))))
0.8b
(pow (* (/ 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)
12.3b
(- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (/ (+ (pow 0.254829592 3) (pow (* (/ 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)) (+ (* 0.254829592 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)))))) (- (* (/ 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))))))) 0.254829592))))) (pow (exp (fabs x)) (fabs x)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt times-frac
12×add-exp-log add-cbrt-cube
8×add-log-exp
7×pow1
5×cube-div associate-/l*
4×flip3-+ sum-cubes flip-+ distribute-lft-out
3×pow-unpow pow-exp associate-/r* rem-cube-cbrt
2×cbrt-undiv frac-times sub-neg flip3-- pow-pow diff-log associate-*r/ div-exp prod-exp associate--l+ associate-/r/ flip-- cbrt-unprod associate-/l/
1×distribute-rgt-in cube-mult pow-to-exp unpow-prod-down frac-2neg distribute-lft-in unpow3 cube-prod pow-prod-down associate-*l/ clear-num div-inv sqr-pow
Counts
4 → 92
Calls
4 calls:
10.0ms
(- (* (/ 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))))))) 0.254829592)
15.0ms
(/ (+ (pow 0.254829592 3) (pow (* (/ 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)) (+ (* 0.254829592 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)))))) (- (* (/ 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))))))) 0.254829592)))))
10.0ms
(pow (* (/ 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)
4.0ms
(- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (/ (+ (pow 0.254829592 3) (pow (* (/ 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)) (+ (* 0.254829592 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)))))) (- (* (/ 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))))))) 0.254829592))))) (pow (exp (fabs x)) (fabs x)))))

series6.0s

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (* (/ 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))))))) 0.254829592)
672.0ms
(/ (+ (pow 0.254829592 3) (pow (* (/ 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)) (+ (* 0.254829592 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)))))) (- (* (/ 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))))))) 0.254829592)))))
118.0ms
(pow (* (/ 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)
5.1s
(- 1.0 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (/ (/ (+ (pow 0.254829592 3) (pow (* (/ 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)) (+ (* 0.254829592 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)))))) (- (* (/ 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))))))) 0.254829592))))) (pow (exp (fabs x)) (fabs x)))))

simplify111.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
0496617032
1496617032

prune2.4s

Filtered
78 candidates to 104 candidates (-33.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1031104
Fresh055
Picked101
Done011
Total1047111

Merged error: 12.3b

Counts
111 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.3b
(* (/ 1 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ 1.0 (sqrt (+ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
12.3b
(- 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (pow (exp (fabs x)) (fabs x)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
67×times-frac
44×*-un-lft-identity
38×add-cube-cbrt
29×sqrt-prod
28×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp add-log-exp
6×pow1 associate-/r/
5×cbrt-undiv
4×flip3-+ sqrt-div cbrt-unprod flip-+
3×associate-/r* div-inv associate-/l*
2×rec-exp associate-+r+ 1-exp
1×+-commutative distribute-rgt-in frac-times sub-neg flip3-- frac-2neg distribute-lft-in diff-log associate-*r/ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip--
Counts
4 → 140
Calls
4 calls:
5.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
23.0ms
(* (/ 1 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))))
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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ 1.0 (sqrt (+ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (pow (exp (fabs x)) (fabs x)))))

series397.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
9.0ms
(* (/ 1 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))))
73.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (* (/ 1 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
307.0ms
(- 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (pow (exp (fabs x)) (fabs x)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
057924162

prune479.0ms

Filtered
95 candidates to 152 candidates (-60.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1520152
Fresh055
Picked011
Done011
Total1527159

Merged error: 12.3b

Counts
159 → 7

regimes148.0ms

Accuracy

0% (0.1b remaining)

Error of 13.9b against oracle of 13.8b and baseline of 13.9b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
020884
120884

end0.0ms

sample1.6s

Algorithm
intervals
Results
952.0ms3930×body160valid
509.0ms4070×body80valid

Profiling

Loading profile data...