Details

Time bar (total: 5.2m)

sample151.0ms

Algorithm
intervals
Results
63.0ms124×body160valid
46.0ms132×body80valid

simplify409.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
409.0ms
(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize83.0ms

Local error

Found 4 expressions with local error:

13.5b
(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
0.4b
(+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
0.1b
(/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911)))
0.1b
(/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))

rewrite11.5s

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt *-un-lft-identity
27×times-frac
21×add-cube-cbrt
8×add-cbrt-cube add-exp-log add-log-exp
7×associate-/l*
6×associate-/r* difference-of-squares
5×distribute-lft-out
4×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
2×cbrt-undiv clear-num frac-2neg div-exp div-inv associate-/l/
1×+-commutative sum-log sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 99
Calls
4 calls:
Slowest
5.2s
(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
4.5s
(/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911)))
1.7s
(+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
9.0ms
(/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))

series1.9s

Counts
4 → 12
Calls
4 calls:
Slowest
985.0ms
(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
452.0ms
(/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911)))
400.0ms
(+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
30.0ms
(/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))

simplify21.9s

Counts
143 → 111
Calls
143 calls:
Slowest
1.4s
(+ (* 1 1) (+ (* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))) (* 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
998.0ms
(* (* (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592))
748.0ms
(+ 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
701.0ms
(- (* 1 1) (* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))
515.0ms
(- (+ (* 1.453152027 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 4)))) (+ (* 0.284496736 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 2)))) 1)) (+ (* 1.421413741 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 3)))) (+ (* 1.061405429 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 5)))) (* 0.254829592 (/ 1 (* (exp (pow (fabs x) 2)) (+ (* 0.3275911 (fabs x)) 1)))))))

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 13.5b

localize73.0ms

Local error

Found 4 expressions with local error:

13.5b
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
13.5b
(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
0.4b
(+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
0.1b
(/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911)))

rewrite26.0s

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
35×*-un-lft-identity
24×times-frac
15×add-cube-cbrt
12×difference-of-squares
11×log-pow
10×exp-prod
8×add-log-exp
6×add-cbrt-cube add-exp-log
5×pow1 log-prod distribute-lft-out
4×insert-posit16 associate-/l*
3×associate-/r* flip3-+ flip-+
2×sub-neg exp-sum associate-/r/ distribute-lft-out-- associate-/l/
1×cbrt-undiv +-commutative log-div clear-num sum-log frac-2neg flip3-- exp-diff diff-log div-exp rem-log-exp div-inv flip--
Counts
4 → 95
Calls
4 calls:
Slowest
16.8s
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
3.9s
(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
3.7s
(/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911)))
1.5s
(+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)

series2.7s

Counts
4 → 12
Calls
4 calls:
Slowest
960.0ms
(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
929.0ms
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
427.0ms
(/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911)))
405.0ms
(+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)

simplify31.7s

Counts
134 → 107
Calls
134 calls:
Slowest
1.2s
(+ (* 1 1) (+ (* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))) (* 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
919.0ms
(+ 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
872.0ms
(* (* (log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))) (log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))) (log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))))
762.0ms
(log (exp (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))
702.0ms
(- (* 1 1) (* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))

prune2.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 13.5b

localize114.0ms

Local error

Found 4 expressions with local error:

13.5b
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
13.5b
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
13.5b
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
13.5b
(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))

rewrite55.0s

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
33×log-pow
30×exp-prod *-un-lft-identity
24×times-frac difference-of-squares
15×log-prod
10×add-cube-cbrt
7×pow1
6×exp-sum add-log-exp
4×sub-neg add-cbrt-cube add-exp-log insert-posit16 distribute-lft-out--
3×log-div exp-diff rem-log-exp
1×flip3-- diff-log flip--
Counts
4 → 98
Calls
4 calls:
Slowest
17.1s
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
16.9s
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
16.6s
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
4.3s
(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))

series3.8s

Counts
4 → 12
Calls
4 calls:
Slowest
987.0ms
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
949.0ms
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
941.0ms
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
912.0ms
(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))

simplify47.7s

Counts
133 → 110
Calls
133 calls:
Slowest
1.4s
(+ (* 1 1) (+ (* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))) (* 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
1.1s
(log (exp (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))
830.0ms
(log (exp (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))
784.0ms
(+ 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
769.0ms
(log (exp (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))

prune3.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 10.0b

localize132.0ms

Local error

Found 4 expressions with local error:

13.5b
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
13.5b
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
13.5b
(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
13.5b
(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))

rewrite43.3s

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
28×*-un-lft-identity
24×times-frac difference-of-squares
22×log-pow
20×exp-prod
10×log-prod
8×add-cube-cbrt add-log-exp
6×pow1
4×sub-neg add-cbrt-cube exp-sum add-exp-log insert-posit16 distribute-lft-out--
2×log-div flip3-- exp-diff diff-log rem-log-exp flip--
Counts
4 → 92
Calls
4 calls:
Slowest
17.5s
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
17.3s
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
4.4s
(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
4.2s
(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))

series3.8s

Counts
4 → 12
Calls
4 calls:
Slowest
977.0ms
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
973.0ms
(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
945.0ms
(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
908.0ms
(log (exp (- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))

simplify48.8s

Counts
130 → 104
Calls
130 calls:
Slowest
1.5s
(+ (* 1 1) (+ (* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))) (* 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
1.3s
(+ (* 1 1) (+ (* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))) (* 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
843.0ms
(log (exp (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))
837.0ms
(log (exp (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))
802.0ms
(+ 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ -1.453152027 (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))

prune4.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 9.6b

regimes144.0ms

Accuracy

0% (0.0b remaining)

Error of 10.0b against oracle of 10.0b and baseline of 10.0b

bsearch67.0ms

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.3s3957×body160valid
935.0ms4043×body80valid