Details

Time bar (total: 7.8s)

sample62.0ms

Algorithm
intervals
Results
34.0ms138×body160valid
18.0ms118×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08236
129236
296836
3449936
4500236

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.2b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))
0.2b
(* (/ 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)))))))
0.5b
(+ 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))))))))
15.1b
(- 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))))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt associate-*l*
20×add-cube-cbrt *-un-lft-identity times-frac
14×add-exp-log add-cbrt-cube
8×pow1 add-log-exp
7×flip3-+ flip-+
6×associate-*r*
4×frac-times associate-*r/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×distribute-rgt-in distribute-lft-in
2×cbrt-undiv associate-+r+ div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative sub-neg flip3-- diff-log sum-log flip--
Counts
4 → 105
Calls
4 calls:
9.0ms
(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))
8.0ms
(* (/ 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)))))))
3.0ms
(+ 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 (neg (* (fabs x) (fabs x))))))

series344.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))
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)))))))
67.0ms
(+ 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))))))))
182.0ms
(- 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))))))

simplify127.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
09743303
148663003
250012999

prune505.0ms

Filtered
90 candidates to 117 candidates (-30.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1116117
Fresh000
Picked101
Done000
Total1126118

Merged error: 15.1b

Counts
118 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0))))))))
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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))
0.5b
(/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0))
15.1b
(- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
190×times-frac
106×add-sqr-sqrt
101×add-cube-cbrt *-un-lft-identity
36×unpow-prod-down
28×associate-/r*
19×add-exp-log
15×associate-*l*
14×add-cbrt-cube
12×unpow2 sqr-pow
8×div-exp add-log-exp
6×pow1 div-inv
4×cbrt-undiv flip3-+ flip-+
3×associate-*r* associate-/r/ associate-/l*
2×distribute-rgt-in frac-times associate-+r+ distribute-lft-in associate-*r/ prod-exp cbrt-unprod unswap-sqr
1×+-commutative pow-to-exp sub-neg flip3-- frac-2neg diff-log pow-prod-down associate-*l/ pow-exp clear-num sum-log *-commutative flip--
Counts
4 → 197
Calls
4 calls:
8.0ms
(* (/ 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0))))))))
3.0ms
(+ 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))
11.0ms
(/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0))
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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))

series336.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (/ 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0))))))))
68.0ms
(+ 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))
14.0ms
(/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0))
181.0ms
(- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))

simplify70.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012854556
150014163

prune919.0ms

Filtered
146 candidates to 209 candidates (-43.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2063209
Fresh145
Picked101
Done000
Total2087215

Merged error: 15.1b

Counts
215 → 7

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x)))))))
15.1b
(- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))
15.1b
(- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))
15.1b
(- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-- add-cbrt-cube flip--
3×cbrt-prod sub-neg diff-log
2×cbrt-div
1×pow1/3
Counts
4 → 49
Calls
4 calls:
2.0ms
(cbrt (- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x)))))))
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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (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 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (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 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))

series891.0ms

Counts
4 → 12
Calls
4 calls:
354.0ms
(cbrt (- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x)))))))
179.0ms
(- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))
179.0ms
(- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))
178.0ms
(- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))

simplify55.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
02393771
19633452
250013355

prune810.0ms

Filtered
46 candidates to 61 candidates (-32.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New58361
Fresh246
Picked101
Done000
Total61768

Merged error: 14.3b

Counts
68 → 7

localize47.0ms

Local error

Found 4 expressions with local error:

15.1b
(- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))
15.1b
(- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))
15.1b
(- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))
15.1b
(log (exp (- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 log-prod
4×add-exp-log sub-neg log-pow add-cbrt-cube
3×exp-prod flip3-- diff-log flip--
2×exp-sum
1×log-div exp-diff rem-log-exp
Counts
4 → 54
Calls
4 calls:
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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))
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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (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 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) -1.453152027) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))
3.0ms
(log (exp (- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))))

series712.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))
177.0ms
(- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))
178.0ms
(- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))
178.0ms
(log (exp (- 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) (* 1.061405429 (/ 1.0 (/ (pow (+ (* 0.3275911 (fabs x)) 1.0) 2) 1.0)))))))))) (exp (neg (* (fabs x) (fabs x))))))))

simplify56.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
02503753
110373384
250013263

prune842.0ms

Filtered
48 candidates to 66 candidates (-37.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New65166
Fresh066
Picked101
Done000
Total66773

Merged error: 14.3b

Counts
73 → 7

regimes165.0ms

Accuracy

0% (0.0b remaining)

Error of 13.2b against oracle of 13.1b and baseline of 13.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053123
153123

end0.0ms

sample1.6s

Algorithm
intervals
Results
970.0ms3936×body160valid
511.0ms4064×body80valid

Profiling

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