Details

Time bar (total: 8.1s)

sample61.0ms

Algorithm
intervals
Results
31.0ms126×body160valid
20.0ms130×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08236
129236
296836
3449936
4500236

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.8b

Counts
2 → 1

localize22.0ms

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 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))
0.2b
(* (/ 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)))))))))
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))))))))
13.7b
(- 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))))))

rewrite30.0ms

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:
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)))))))
11.0ms
(* (/ 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)))) 1.061405429)))))))))
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))))))))
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))))))

series467.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (/ 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)))))))
112.0ms
(* (/ 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)))) 1.061405429)))))))))
75.0ms
(+ 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))))))))
199.0ms
(- 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))))))

simplify131.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
09084320
146323912
250013907

prune606.0ms

Filtered
117 candidates to 90 candidates (23.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1107117
Fresh000
Picked101
Done000
Total1117118

Merged error: 13.7b

Counts
118 → 7

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))
0.3b
(/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))
0.5b
(+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))
13.7b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
22×add-exp-log
20×associate-/r*
12×cube-prod div-exp
8×add-cbrt-cube add-log-exp sqr-pow
6×pow-to-exp rec-exp 1-exp pow-exp associate-/l*
4×pow1 cube-mult unpow3 unpow2
2×cbrt-undiv cube-div pow-flip frac-2neg flip3-+ clear-num associate-/r/ flip-+ div-inv inv-pow
1×+-commutative sub-neg flip3-- diff-log sum-log flip--
Counts
4 → 155
Calls
4 calls:
8.0ms
(/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))
9.0ms
(/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))
9.0ms
(+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))
3.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))

series308.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))
19.0ms
(/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))
75.0ms
(+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))
200.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))

simplify99.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
06152553
132202199
250012182

prune365.0ms

Filtered
167 candidates to 68 candidates (59.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1643167
Fresh246
Picked101
Done000
Total1677174

Merged error: 13.7b

Counts
174 → 7

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))
0.5b
(+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))
1.2b
(exp (log (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))))
13.7b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
31×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×add-exp-log
12×unpow-prod-down cube-prod associate-/r*
8×add-log-exp
6×div-exp add-cbrt-cube
5×pow1
4×cube-mult exp-prod unpow3 sqr-pow
3×pow-to-exp rec-exp log-prod 1-exp exp-sum pow-exp associate-/l*
2×cube-div log-div flip3-- flip3-+ exp-diff associate-/r/ flip-- flip-+
1×cbrt-undiv +-commutative sub-neg pow-flip frac-2neg diff-log clear-num sum-log log-pow div-inv rem-exp-log inv-pow
Counts
4 → 115
Calls
4 calls:
9.0ms
(/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))
10.0ms
(+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))
4.0ms
(exp (log (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))))
3.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))

series489.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))
75.0ms
(+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))
197.0ms
(exp (log (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))))
199.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))

simplify85.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05393207
126402886
250022773

prune407.0ms

Filtered
127 candidates to 62 candidates (51.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1243127
Fresh246
Picked101
Done000
Total1277134

Merged error: 13.7b

Counts
134 → 7

localize49.0ms

Local error

Found 4 expressions with local error:

1.4b
(pow (exp (* (cbrt (log (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x)))))))) (cbrt (log (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x)))))))))) (cbrt (log (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x)))))))))
13.7b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))
13.7b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))
13.7b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
11×add-log-exp
7×add-sqr-sqrt add-cube-cbrt pow-unpow *-un-lft-identity
6×pow1
4×add-exp-log cbrt-prod add-cbrt-cube
3×sub-neg unpow-prod-down flip3-- pow-pow diff-log flip--
1×pow-to-exp exp-prod exp-to-pow pow-exp log-pow sqr-pow
Counts
4 → 59
Calls
4 calls:
4.0ms
(pow (exp (* (cbrt (log (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x)))))))) (cbrt (log (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x)))))))))) (cbrt (log (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x)))))))))
3.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))
3.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))
5.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))

series1.9s

Counts
4 → 12
Calls
4 calls:
1.3s
(pow (exp (* (cbrt (log (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x)))))))) (cbrt (log (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x)))))))))) (cbrt (log (- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x)))))))))
195.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))
196.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))
195.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* 1.0 (/ (- (+ (* 1.421413741 (/ 1 (+ (* 0.3275911 (fabs x)) 1.0))) (* 1.061405429 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))) (+ 0.284496736 (* 1.453152027 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))))) (+ (* 0.3275911 (fabs x)) 1.0))))) (exp (neg (* (fabs x) (fabs x))))))

simplify78.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
02866194
111875587
250015466

prune962.0ms

Filtered
71 candidates to 49 candidates (31.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New69271
Fresh156
Picked101
Done000
Total71778

Merged error: 13.0b

Counts
78 → 7

regimes156.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061125
161125

end0.0ms

sample1.6s

Algorithm
intervals
Results
956.0ms3956×body160valid
499.0ms4044×body80valid

Profiling

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