Details

Time bar (total: 16.0s)

sample47.0ms

Algorithm
intervals
Results
17.0ms146×body160valid
7.0ms110×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08236
129236
296836
3449936
4500236

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize30.0ms

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))))
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))))))))
15.9b
(- 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))))))

rewrite15.0ms

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 → 83
Calls
4 calls:
4.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
4.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
2.0ms
(+ 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 (- (* (fabs x) (fabs x))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
30.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
316.0ms
(+ 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))))))))
855.0ms
(- 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))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04391858
120311698
250011695

prune401.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 16.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (+ (* 0.3275911 (fabs x)) 1.0) 3)
0.1b
(pow (+ (* 0.3275911 (fabs x)) 1.0) 4)
0.2b
(pow (+ (* 0.3275911 (fabs x)) 1.0) 5)
16.0b
(- (+ 1.0 (+ (* 0.284496736 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))) (* 1.453152027 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 4))))) (+ (* 1.061405429 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 5))) (+ (* 1.421413741 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (* 0.254829592 (/ (exp (- (pow (fabs x) 2))) (+ (* 0.3275911 (fabs x)) 1.0))))))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
40×add-log-exp
18×sum-log
16×*-un-lft-identity
13×add-sqr-sqrt
11×add-cube-cbrt
10×flip3-+ associate-*r/ frac-sub flip-+
9×unpow-prod-down pow-unpow diff-log
8×frac-add
7×pow1 add-exp-log
5×add-cbrt-cube
3×pow-to-exp pow-pow cube-prod pow-exp sqr-pow
2×cube-div distribute-lft-out--
1×cube-mult sub-neg flip3-- unpow3 associate--l+ flip-- distribute-lft-out associate--r+ rem-cube-cbrt difference-of-squares
Counts
4 → 94
Calls
4 calls:
5.0ms
(pow (+ (* 0.3275911 (fabs x)) 1.0) 3)
5.0ms
(pow (+ (* 0.3275911 (fabs x)) 1.0) 4)
5.0ms
(pow (+ (* 0.3275911 (fabs x)) 1.0) 5)
1.4s
(- (+ 1.0 (+ (* 0.284496736 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))) (* 1.453152027 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 4))))) (+ (* 1.061405429 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 5))) (+ (* 1.421413741 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (* 0.254829592 (/ (exp (- (pow (fabs x) 2))) (+ (* 0.3275911 (fabs x)) 1.0))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
54.0ms
(pow (+ (* 0.3275911 (fabs x)) 1.0) 3)
51.0ms
(pow (+ (* 0.3275911 (fabs x)) 1.0) 4)
70.0ms
(pow (+ (* 0.3275911 (fabs x)) 1.0) 5)
845.0ms
(- (+ 1.0 (+ (* 0.284496736 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))) (* 1.453152027 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 4))))) (+ (* 1.061405429 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 5))) (+ (* 1.421413741 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (* 0.254829592 (/ (exp (- (pow (fabs x) 2))) (+ (* 0.3275911 (fabs x)) 1.0))))))

simplify59.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08894966
150014663

prune570.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 15.9b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (+ (* 0.3275911 (fabs x)) 1.0) 4)
0.2b
(pow (+ (* 0.3275911 (fabs x)) 1.0) 5)
1.5b
(exp (log (- (+ 1.0 (+ (* 0.284496736 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))) (* 1.453152027 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 4))))) (+ (* 1.061405429 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 5))) (+ (* 1.421413741 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (* 0.254829592 (/ (exp (- (pow (fabs x) 2))) (+ (* 0.3275911 (fabs x)) 1.0))))))))
16.0b
(- (+ 1.0 (+ (* 0.284496736 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))) (* 1.453152027 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 4))))) (+ (* 1.061405429 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 5))) (+ (* 1.421413741 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (* 0.254829592 (/ (exp (- (pow (fabs x) 2))) (+ (* 0.3275911 (fabs x)) 1.0))))))

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
40×add-log-exp
20×*-un-lft-identity associate-*r/ frac-sub
18×flip3-+ sum-log flip-+
16×frac-add
14×add-sqr-sqrt
12×log-div exp-diff
10×add-cube-cbrt
9×diff-log
7×pow1
6×add-exp-log unpow-prod-down pow-unpow log-prod exp-sum
4×exp-prod add-cbrt-cube distribute-lft-out--
2×pow-to-exp flip3-- pow-pow pow-exp flip-- distribute-lft-out difference-of-squares sqr-pow
1×sub-neg associate--l+ log-pow rem-exp-log associate--r+
Counts
4 → 99
Calls
4 calls:
5.0ms
(pow (+ (* 0.3275911 (fabs x)) 1.0) 4)
5.0ms
(pow (+ (* 0.3275911 (fabs x)) 1.0) 5)
690.0ms
(exp (log (- (+ 1.0 (+ (* 0.284496736 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))) (* 1.453152027 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 4))))) (+ (* 1.061405429 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 5))) (+ (* 1.421413741 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (* 0.254829592 (/ (exp (- (pow (fabs x) 2))) (+ (* 0.3275911 (fabs x)) 1.0))))))))
1.2s
(- (+ 1.0 (+ (* 0.284496736 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))) (* 1.453152027 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 4))))) (+ (* 1.061405429 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 5))) (+ (* 1.421413741 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (* 0.254829592 (/ (exp (- (pow (fabs x) 2))) (+ (* 0.3275911 (fabs x)) 1.0))))))

series1.8s

Counts
4 → 12
Calls
4 calls:
52.0ms
(pow (+ (* 0.3275911 (fabs x)) 1.0) 4)
73.0ms
(pow (+ (* 0.3275911 (fabs x)) 1.0) 5)
859.0ms
(exp (log (- (+ 1.0 (+ (* 0.284496736 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))) (* 1.453152027 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 4))))) (+ (* 1.061405429 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 5))) (+ (* 1.421413741 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (* 0.254829592 (/ (exp (- (pow (fabs x) 2))) (+ (* 0.3275911 (fabs x)) 1.0))))))))
862.0ms
(- (+ 1.0 (+ (* 0.284496736 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))) (* 1.453152027 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 4))))) (+ (* 1.061405429 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 5))) (+ (* 1.421413741 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (* 0.254829592 (/ (exp (- (pow (fabs x) 2))) (+ (* 0.3275911 (fabs x)) 1.0))))))

simplify180.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
08689216
145118632
250018473

prune688.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 15.9b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (+ (* 0.3275911 (fabs x)) 1.0) 4)
0.2b
(pow (+ (* 0.3275911 (fabs x)) 1.0) 5)
2.0b
(pow E (log (- (+ 1.0 (+ (* 0.284496736 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))) (* 1.453152027 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 4))))) (+ (* 1.061405429 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 5))) (+ (* 1.421413741 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (* 0.254829592 (/ (exp (- (pow (fabs x) 2))) (+ (* 0.3275911 (fabs x)) 1.0))))))))
16.0b
(- (+ 1.0 (+ (* 0.284496736 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))) (* 1.453152027 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 4))))) (+ (* 1.061405429 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 5))) (+ (* 1.421413741 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (* 0.254829592 (/ (exp (- (pow (fabs x) 2))) (+ (* 0.3275911 (fabs x)) 1.0))))))

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
40×add-log-exp
21×*-un-lft-identity
20×associate-*r/ frac-sub
18×flip3-+ sum-log flip-+
16×frac-add
15×add-sqr-sqrt
12×log-div pow-sub
11×add-cube-cbrt
10×pow-unpow
9×unpow-prod-down diff-log
8×pow1
7×add-exp-log
6×unpow-prod-up log-prod
4×pow-exp add-cbrt-cube distribute-lft-out--
3×pow-to-exp pow-pow sqr-pow
2×flip3-- flip-- distribute-lft-out difference-of-squares
1×sub-neg e-exp-1 associate--l+ log-pow associate--r+
Counts
4 → 106
Calls
4 calls:
5.0ms
(pow (+ (* 0.3275911 (fabs x)) 1.0) 4)
5.0ms
(pow (+ (* 0.3275911 (fabs x)) 1.0) 5)
691.0ms
(pow E (log (- (+ 1.0 (+ (* 0.284496736 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))) (* 1.453152027 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 4))))) (+ (* 1.061405429 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 5))) (+ (* 1.421413741 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (* 0.254829592 (/ (exp (- (pow (fabs x) 2))) (+ (* 0.3275911 (fabs x)) 1.0))))))))
1.2s
(- (+ 1.0 (+ (* 0.284496736 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))) (* 1.453152027 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 4))))) (+ (* 1.061405429 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 5))) (+ (* 1.421413741 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (* 0.254829592 (/ (exp (- (pow (fabs x) 2))) (+ (* 0.3275911 (fabs x)) 1.0))))))

series2.3s

Counts
4 → 12
Calls
4 calls:
58.0ms
(pow (+ (* 0.3275911 (fabs x)) 1.0) 4)
66.0ms
(pow (+ (* 0.3275911 (fabs x)) 1.0) 5)
1.3s
(pow E (log (- (+ 1.0 (+ (* 0.284496736 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))) (* 1.453152027 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 4))))) (+ (* 1.061405429 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 5))) (+ (* 1.421413741 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (* 0.254829592 (/ (exp (- (pow (fabs x) 2))) (+ (* 0.3275911 (fabs x)) 1.0))))))))
871.0ms
(- (+ 1.0 (+ (* 0.284496736 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))) (* 1.453152027 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 4))))) (+ (* 1.061405429 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 5))) (+ (* 1.421413741 (/ (exp (- (pow (fabs x) 2))) (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (* 0.254829592 (/ (exp (- (pow (fabs x) 2))) (+ (* 0.3275911 (fabs x)) 1.0))))))

simplify184.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
099110092
149049740
250019740

prune763.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 15.9b

regimes349.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05356
15556
25556

end0.0ms

sample839.0ms

Algorithm
intervals
Results
465.0ms3921×body160valid
257.0ms4079×body80valid