Details

Time bar (total: 6.3m)

sample130.0ms

Algorithm
intervals
Results
75.0ms126×body160valid
26.0ms130×body80valid

simplify434.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
433.0ms
(- 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

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.0b

localize54.0ms

Local error

Found 4 expressions with local error:

14.0b
(- 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)))))
0.5b
(+ (/ (+ -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)))
0.1b
(/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))

rewrite8.8s

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
37×add-sqr-sqrt
30×times-frac
22×add-cube-cbrt
9×distribute-lft-out
8×add-cbrt-cube add-exp-log associate-/l* add-log-exp
6×associate-/r* difference-of-squares
5×flip3-+ flip-+
4×pow1 associate-/r/ insert-posit16 associate-/l/
2×cbrt-undiv clear-num frac-2neg div-exp div-inv
1×+-commutative sum-log sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 105
Calls
4 calls:
Slowest
5.3s
(- 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)))))
1.9s
(+ (/ (+ -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)
1.3s
(/ (+ -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)))
333.0ms
(/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))

series1.9s

Counts
4 → 12
Calls
4 calls:
Slowest
990.0ms
(- 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)))))
392.0ms
(+ (/ (+ -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)
336.0ms
(/ (+ -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)))
221.0ms
(/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))

simplify15.7s

Counts
98 → 117
Calls
98 calls:
Slowest
897.0ms
(- (sqrt 1) (sqrt (/ (/ (+ (/ (+ -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))))))
808.0ms
(+ (sqrt 1) (sqrt (/ (/ (+ (/ (+ -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))))))
794.0ms
(+ 1 (sqrt (/ (/ (+ (/ (+ -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))))))
707.0ms
(- 1 (sqrt (/ (/ (+ (/ (+ -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))))))
575.0ms
(- (+ (* 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)))))))

prune1.8s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 14.0b

localize156.0ms

Local error

Found 4 expressions with local error:

13.4b
(- (pow 1 3) (pow (/ (/ (+ (/ (+ -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)))) 3))
0.8b
(pow (/ (/ (+ (/ (+ -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)))) 3)
0.5b
(* (/ (/ (+ (/ (+ -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)))))
0.5b
(+ (* (/ (/ (+ (/ (+ -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))))))

rewrite22.7s

Algorithm
rewrite-expression-head
Rules
666×times-frac
476×*-un-lft-identity
425×add-sqr-sqrt
287×add-cube-cbrt
96×unpow-prod-down cube-prod
76×swap-sqr
72×distribute-lft-out
58×associate-*r* associate-*l*
48×difference-of-squares
46×add-cbrt-cube
36×associate-/r/
32×add-exp-log
24×div-inv
21×cbrt-undiv div-exp
19×flip3-+ flip-+
15×sqr-pow
12×pow1
9×prod-exp cbrt-unprod unswap-sqr
8×add-log-exp
6×distribute-lft-out--
5×associate-*r/
4×insert-posit16
3×pow-unpow frac-add pow-exp rem-cube-cbrt
2×cube-mult frac-times associate-*l/
1×cube-div pow2 pow-to-exp difference-cubes +-commutative sum-log sub-neg pow-pow pow-plus distribute-rgt-out flip3-- diff-log unpow3 pow-prod-down pow-sqr *-commutative pow-prod-up flip--
Counts
4 → 459
Calls
4 calls:
Slowest
10.0s
(* (/ (/ (+ (/ (+ -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)))))
6.2s
(- (pow 1 3) (pow (/ (/ (+ (/ (+ -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)))) 3))
3.7s
(+ (* (/ (/ (+ (/ (+ -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) (+ 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))))))
2.7s
(pow (/ (/ (+ (/ (+ -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)))) 3)

series9.5s

Counts
4 → 12
Calls
4 calls:
Slowest
4.5s
(- (pow 1 3) (pow (/ (/ (+ (/ (+ -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)))) 3))
3.1s
(+ (* (/ (/ (+ (/ (+ -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))))))
1.1s
(pow (/ (/ (+ (/ (+ -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)))) 3)
706.0ms
(* (/ (/ (+ (/ (+ -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))) (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)))))

simplify4.6m

Counts
569 → 471
Calls
569 calls:
Slowest
2.2s
(* (* (* (/ (/ (+ (/ (+ -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))))) (/ (/ (+ (/ (+ -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) (+ (/ (+ -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)) (* (* (+ 1 (* (fabs x) 0.3275911)) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911)))) (* (* (exp (* (fabs x) (fabs x))) (exp (* (fabs x) (fabs x)))) (exp (* (fabs x) (fabs x))))))
1.9s
(- (pow 1 (/ 3 2)) (sqrt (pow (/ (/ (+ (/ (+ -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)))) 3)))
1.8s
(* (/ (/ (* (* (+ (/ (+ -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)) (* (* (+ 1 (* (fabs x) 0.3275911)) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911)))) (* (* (exp (* (fabs x) (fabs x))) (exp (* (fabs x) (fabs x)))) (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) (+ (/ (+ -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)) (* (* (+ 1 (* (fabs x) 0.3275911)) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911)))) (* (* (exp (* (fabs x) (fabs x))) (exp (* (fabs x) (fabs x)))) (exp (* (fabs x) (fabs x))))))
1.8s
(- (pow 1 3) (sqrt (pow (/ (/ (+ (/ (+ -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)))) 3)))
1.8s
(- (pow 1 3) (sqrt (pow (/ (/ (+ (/ (+ -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)))) 3)))

prune12.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.2b

localize513.0ms

Local error

Found 4 expressions with local error:

13.4b
(- (pow 1 3) (* (sqrt (pow (/ (/ (+ (/ (+ -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)))) 3)) (sqrt (pow (/ (/ (+ (/ (+ -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)))) 3))))
0.8b
(pow (/ (/ (+ (/ (+ -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)))) 3)
0.8b
(pow (/ (/ (+ (/ (+ -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)))) 3)
0.5b
(* (/ (/ (+ (/ (+ -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)))))

rewrite19.2s

Algorithm
rewrite-expression-head
Rules
810×times-frac
574×*-un-lft-identity
413×add-sqr-sqrt
374×add-cube-cbrt
118×unpow-prod-down cube-prod
90×distribute-lft-out
76×swap-sqr
58×associate-*r* associate-*l*
52×add-cbrt-cube
48×associate-/r/
36×add-exp-log
32×div-inv
24×cbrt-undiv flip3-+ div-exp flip-+
13×pow1
9×prod-exp cbrt-unprod unswap-sqr
6×pow-unpow pow-exp add-log-exp rem-cube-cbrt difference-of-squares
4×insert-posit16
3×sqr-pow
2×cube-div cube-mult pow-to-exp pow-pow unpow3
1×pow2 frac-times sub-neg pow-plus flip3-- diff-log pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up flip--
Counts
4 → 533
Calls
4 calls:
Slowest
9.8s
(* (/ (/ (+ (/ (+ -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)))))
4.0s
(- (pow 1 3) (* (sqrt (pow (/ (/ (+ (/ (+ -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)))) 3)) (sqrt (pow (/ (/ (+ (/ (+ -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)))) 3))))
2.7s
(pow (/ (/ (+ (/ (+ -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)))) 3)
2.6s
(pow (/ (/ (+ (/ (+ -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)))) 3)

series5.8s

Counts
4 → 12
Calls
4 calls:
Slowest
3.7s
(- (pow 1 3) (* (sqrt (pow (/ (/ (+ (/ (+ -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)))) 3)) (sqrt (pow (/ (/ (+ (/ (+ -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)))) 3))))
703.0ms
(* (/ (/ (+ (/ (+ -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))) (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)))))
698.0ms
(pow (/ (/ (+ (/ (+ -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)))) 3)
633.0ms
(pow (/ (/ (+ (/ (+ -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)))) 3)