Details

Time bar (total: 15.8s)

sample53.0ms

Algorithm
intervals
Results
25.0ms133×body160valid
7.0ms123×body80valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
08236
131036
2105431
3485530
4500130

prune13.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.7b

Counts
2 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.1b
(* (/ 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))))))))
14.6b
(- 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 (- (* (fabs x) (fabs x))))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×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×expm1-log1p-u associate-/r/ log1p-expm1-u
3×fma-def fma-neg associate-*r* prod-diff 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 → 111
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 (- (* (fabs x) (fabs x))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
192.0ms
(* (/ 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)))))
311.0ms
(+ 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))))))))
856.0ms
(- 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 (- (* (fabs x) (fabs x))))))

simplify121.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
07913190
143432687
250012657

prune581.0ms

Filtered
123 candidates to 102 candidates (82.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1194123
Fresh101
Picked101
Done000
Total1214125

Merged error: 14.6b

Counts
125 → 4

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 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))))))))
14.6b
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))
14.7b
(log (exp (- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
15×associate-*l*
10×times-frac
9×add-exp-log add-cbrt-cube
8×log-prod add-log-exp
7×pow1
6×prod-diff
5×exp-sum
4×expm1-log1p-u flip3-+ log-pow flip-+ log1p-expm1-u
3×distribute-rgt-in exp-prod fma-def distribute-lft-in fma-neg associate-*r*
2×frac-times sub-neg associate-+r+ associate-*r/ prod-exp associate-/r/ cbrt-unprod associate--r+ unswap-sqr
1×cbrt-undiv +-commutative log-div flip3-- exp-diff diff-log div-exp rem-log-exp pow-prod-down associate-*l/ sum-log *-commutative flip-- div-inv
Counts
4 → 105
Calls
4 calls:
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 (exp (pow (fabs x) 2))) (/ 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))))))))))
4.0ms
(log (exp (- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))))

series2.1s

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (/ 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)))))
314.0ms
(+ 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))))))))
776.0ms
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))
785.0ms
(log (exp (- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))))

simplify130.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
08174313
143533623
250013582

prune815.0ms

Filtered
117 candidates to 97 candidates (82.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1152117
Fresh123
Picked101
Done000
Total1174121

Merged error: 14.6b

Counts
121 → 4

localize35.0ms

Local error

Found 4 expressions with local error:

14.6b
(log (sqrt (exp (- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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)))))))))))))
14.6b
(log (sqrt (exp (- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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)))))))))))))
14.6b
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))
14.6b
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity sqrt-prod
12×prod-diff log-pow
10×exp-sum
8×pow1 sqrt-pow1 add-log-exp
6×add-exp-log exp-prod fma-neg
4×expm1-log1p-u sub-neg add-cbrt-cube log1p-expm1-u associate--r+
2×distribute-rgt-in log-div flip3-- distribute-lft-in pow1/2 exp-diff sqrt-div diff-log rem-log-exp flip--
Counts
4 → 100
Calls
4 calls:
5.0ms
(log (sqrt (exp (- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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)))))))))))))
5.0ms
(log (sqrt (exp (- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))
4.0ms
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))

series3.9s

Counts
4 → 12
Calls
4 calls:
1.2s
(log (sqrt (exp (- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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)))))))))))))
1.2s
(log (sqrt (exp (- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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)))))))))))))
773.0ms
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))
772.0ms
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))

simplify89.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03586274
114125556
250024976

prune813.0ms

Filtered
112 candidates to 86 candidates (76.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1093112
Fresh123
Picked101
Done000
Total1115116

Merged error: 10.1b

Counts
116 → 5

localize39.0ms

Local error

Found 4 expressions with local error:

14.6b
(log (sqrt (exp (- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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)))))))))))))
14.6b
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))
14.6b
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))
14.6b
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×prod-diff
11×log-prod
10×add-log-exp
9×fma-neg
8×sqrt-prod
6×pow1 log-pow associate--r+
5×add-exp-log exp-sum
4×expm1-log1p-u sub-neg sqrt-pow1 add-cbrt-cube log1p-expm1-u
3×distribute-rgt-in exp-prod flip3-- distribute-lft-in diff-log flip--
1×log-div pow1/2 exp-diff sqrt-div rem-log-exp
Counts
4 → 94
Calls
4 calls:
5.0ms
(log (sqrt (exp (- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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)))))))))))))
4.0ms
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))
4.0ms
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))

series3.5s

Counts
4 → 12
Calls
4 calls:
1.2s
(log (sqrt (exp (- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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)))))))))))))
782.0ms
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))
779.0ms
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))
779.0ms
(- 1.0 (* (* (/ 1 (exp (pow (fabs x) 2))) (/ 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))))))))))

simplify85.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03585845
114125032
250024594

prune837.0ms

Filtered
106 candidates to 83 candidates (78.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1024106
Fresh134
Picked101
Done000
Total1047111

Merged error: 9.3b

Counts
111 → 7

regimes202.0ms

Accuracy

0% (0.9b remaining)

Error of 9.7b against oracle of 8.8b and baseline of 9.7b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056155
156155

end0.0ms

sample786.0ms

Algorithm
intervals
Results
433.0ms3882×body160valid
238.0ms4118×body80valid