Details

Time bar (total: 37.4s)

sample48.0ms

Algorithm
intervals
Results
13.0ms116×body160valid
13.0ms140×body80valid

simplify95.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08236
129236
296836
3449936
4500236
done500236

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize21.0ms

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))))))))
12.7b
(- 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 (- (* (fabs x) (fabs x))))))

rewrite33.0ms

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:
12.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
8.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
6.0ms
(+ 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))))))))
5.0ms
(- 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:
30.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
30.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
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))))))))
846.0ms
(- 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))))))

simplify64.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04391858
120311698
250011695
done50011695

prune420.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 12.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (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 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
12.7b
(- 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
279×times-frac
153×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
138×sqrt-prod
27×associate-/l*
18×associate-/r/
16×sqrt-div
11×add-exp-log add-cbrt-cube
10×flip3-+ flip-+
9×associate-/r* div-inv
8×add-log-exp
4×pow1 cbrt-undiv div-exp
2×associate-+r+ frac-2neg clear-num
1×+-commutative distribute-rgt-in sub-neg flip3-- distribute-lft-in diff-log sum-log flip-- associate-/l/
Counts
4 → 245
Calls
4 calls:
8.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
31.0ms
(/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))
6.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
5.0ms
(- 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))
306.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
852.0ms
(- 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

simplify115.0ms

Counts
257 → 257
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
010065684
143275131
250015122
done50015122

prune819.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 12.7b

localize41.0ms

Local error

Found 4 expressions with local error:

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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
0.5b
(* (* (* (/ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) (+ (* (* (/ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 1.0))
0.7b
(pow (* (* (/ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)
12.2b
(- (pow 1.0 3) (pow (* (* (/ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3))

rewrite427.0ms

Algorithm
rewrite-expression-head
Rules
100×frac-times
50×associate-*l/
44×flip3-+ flip-+
34×associate-*r/
28×exp-neg add-cbrt-cube
24×neg-sub0 exp-diff
22×add-exp-log
19×pow1
18×cube-div
16×add-sqr-sqrt
14×prod-exp cbrt-unprod
9×pow-prod-down
8×*-un-lft-identity add-log-exp difference-of-squares
7×sqr-pow
6×add-cube-cbrt
4×pow-exp un-div-inv rem-cube-cbrt
3×unpow-prod-down pow-unpow pow-pow cube-prod associate-*r*
2×cbrt-undiv distribute-rgt-in associate-+r+ distribute-lft-in div-exp
1×difference-cubes +-commutative cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 associate-*l* sum-log *-commutative flip-- distribute-lft-out--
Counts
4 → 161
Calls
4 calls:
6.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
337.0ms
(* (* (* (/ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) (+ (* (* (/ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 1.0))
52.0ms
(pow (* (* (/ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)
22.0ms
(- (pow 1.0 3) (pow (* (* (/ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3))

series5.9s

Counts
4 → 12
Calls
4 calls:
310.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
1.7s
(* (* (* (/ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) (+ (* (* (/ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 1.0))
641.0ms
(pow (* (* (/ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)
3.2s
(- (pow 1.0 3) (pow (* (* (/ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3))

simplify169.0ms

Counts
173 → 173
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
0179418843
1500317944
done500317944

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 12.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
0.6b
(* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
12.2b
(- (pow 1.0 3) (/ (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (- (* 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))) (exp (- (* (fabs x) (fabs x))))) 3) (pow (- 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) 3)))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
49×frac-times
43×pow1
40×add-exp-log add-cbrt-cube
37×difference-of-squares
33×sqr-pow
32×times-frac
29×associate-*r/
24×flip3-+ flip-+
21×prod-exp cbrt-unprod
17×unpow-prod-down cube-prod pow-prod-down associate-*l/
10×add-log-exp
9×distribute-rgt-in distribute-lft-in
6×cbrt-undiv *-un-lft-identity div-exp associate--r+
4×add-cube-cbrt pow-sqr pow-prod-up
3×sub-neg flip3-- diff-log flip--
2×pow-plus
1×pow2 swap-sqr associate-*r* associate-*l* *-commutative distribute-lft-out--
Counts
4 → 163
Calls
4 calls:
8.0ms
(- (* 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))
5.0ms
(- 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
81.0ms
(* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
87.0ms
(- (pow 1.0 3) (/ (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (- (* 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))) (exp (- (* (fabs x) (fabs x))))) 3) (pow (- 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) 3)))

series22.6s

Counts
4 → 12
Calls
4 calls:
689.0ms
(- (* 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))
303.0ms
(- 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
351.0ms
(* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
21.3s
(- (pow 1.0 3) (/ (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (- (* 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 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 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))) (exp (- (* (fabs x) (fabs x))))) 3) (pow (- 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ (/ 1.0 (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))) 3)))

simplify210.0ms

Counts
175 → 175
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0197722460
1500220960
done500220960

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 11.8b

regimes227.0ms

Accuracy

0% (0.0b remaining)

Error of 13.0b against oracle of 13.0b and baseline of 13.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076412
176412
done76412

end0.0ms

sample798.0ms

Algorithm
intervals
Results
429.0ms3940×body160valid
228.0ms4060×body80valid