Details

Time bar (total: 2.9m)

sample148.0ms

Algorithm
intervals
Results
62.0ms120×body160valid
35.0ms136×body80valid

simplify1.7s

Counts
1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.3b

localize74.0ms

Local error

Found 4 expressions with local error:

13.2b
(- 1 (/ (+ (/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))))
0.4b
(+ (/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
0.2b
(/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))
0.2b
(/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736) (+ 1 (* (fabs x) 0.3275911)))

rewrite10.3s

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
25×add-sqr-sqrt
24×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*
5×flip3-+ flip-+
4×pow1 associate-/r/ insert-posit16 associate-/l/
2×cbrt-undiv clear-num frac-2neg div-exp div-inv difference-of-squares
1×+-commutative sum-log sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 101
Calls
4 calls:
Slowest
6.1s
(- 1 (/ (+ (/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))))
2.5s
(+ (/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
1.4s
(/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736) (+ 1 (* (fabs x) 0.3275911)))
357.0ms
(/ (+ (/ (+ (/ 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
949.0ms
(- 1 (/ (+ (/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))))
375.0ms
(+ (/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
362.0ms
(/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736) (+ 1 (* (fabs x) 0.3275911)))
250.0ms
(/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))

simplify1.7s

Counts
113 → 113

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 13.2b

localize91.0ms

Local error

Found 4 expressions with local error:

13.2b
(- 1 (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))))
0.5b
(- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736))
0.4b
(+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592)
0.3b
(/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736)))

rewrite7.1s

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-log-exp
9×add-sqr-sqrt add-cbrt-cube add-exp-log
8×associate-/r/
6×flip3-- add-cube-cbrt flip--
5×difference-of-squares
4×frac-times pow1 flip3-+ times-frac div-sub flip-+ insert-posit16 associate-/l*
2×cbrt-undiv sub-neg diff-log div-exp associate-*l/ associate-*r/ associate-+l- associate-/l/
1×+-commutative clear-num associate-/r* sum-log frac-2neg prod-exp cbrt-unprod div-inv distribute-lft-out distribute-lft-out-- associate--r-
Counts
4 → 80
Calls
4 calls:
Slowest
4.8s
(- 1 (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))))
1.3s
(+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592)
772.0ms
(/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736)))
157.0ms
(- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736))

series8.9s

Counts
4 → 12
Calls
4 calls:
Slowest
4.1s
(- 1 (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))))
3.1s
(+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592)
1.1s
(/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736)))
621.0ms
(- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736))

simplify3.5s

Counts
92 → 92

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 13.2b

localize275.0ms

Local error

Found 4 expressions with local error:

12.7b
(- (pow 1 3) (pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3))
0.7b
(pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3)
0.5b
(- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736))
0.5b
(- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736))

rewrite9.1s

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
32×*-un-lft-identity
28×unpow-prod-down cube-prod
26×difference-of-squares
11×sqr-pow
10×add-cbrt-cube add-log-exp
9×add-exp-log add-cube-cbrt
8×times-frac
6×distribute-lft-out--
5×pow1
4×associate-*l/ associate-/r/ insert-posit16
3×pow-unpow sub-neg flip3-- diff-log pow-exp flip-- rem-cube-cbrt
2×cube-mult cbrt-undiv flip3-+ div-exp flip-+ div-inv distribute-lft-out
1×cube-div pow-to-exp difference-cubes pow-pow unpow3 prod-exp cbrt-unprod
Counts
4 → 115
Calls
4 calls:
Slowest
6.5s
(- (pow 1 3) (pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3))
2.3s
(pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3)
166.0ms
(- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736))
125.0ms
(- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736))

series36.0s

Counts
4 → 12
Calls
4 calls:
Slowest
30.8s
(- (pow 1 3) (pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3))
3.9s
(pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3)
657.0ms
(- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736))
639.0ms
(- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736))

simplify11.9s

Counts
127 → 127

prune6.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 12.4b

localize324.0ms

Local error

Found 4 expressions with local error:

12.7b
(- (pow 1 3) (* (sqrt (pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3)) (sqrt (pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3))))
0.7b
(pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3)
0.7b
(pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3)
0.5b
(- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736))

rewrite8.6s

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
22×unpow-prod-down cube-prod
17×add-sqr-sqrt
16×times-frac add-cbrt-cube
14×add-exp-log add-cube-cbrt
8×associate-*l/ associate-/r/ add-log-exp
7×difference-of-squares
6×pow1 pow-unpow pow-exp rem-cube-cbrt
4×cbrt-undiv flip3-+ div-exp flip-+ insert-posit16 div-inv distribute-lft-out
3×sqr-pow
2×cube-div cube-mult pow-to-exp sub-neg pow-pow flip3-- diff-log unpow3 prod-exp cbrt-unprod flip--
Counts
4 → 119
Calls
4 calls:
Slowest
3.8s
(- (pow 1 3) (* (sqrt (pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3)) (sqrt (pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3))))
2.4s
(pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3)
2.3s
(pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3)
130.0ms
(- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736))

series40.1s

Counts
4 → 12
Calls
4 calls:
Slowest
31.4s
(- (pow 1 3) (* (sqrt (pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3)) (sqrt (pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3))))
4.1s
(pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3)
4.0s
(pow (/ (+ (/ (- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736)) (* (+ 1 (* (fabs x) 0.3275911)) (- (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) -0.284496736))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))) 3)
647.0ms
(- (* (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (* -0.284496736 -0.284496736))

simplify10.3s

Counts
131 → 131

prune6.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.3b

regimes510.0ms

Accuracy

0% (0.0b remaining)

Error of 13.0b against oracle of 12.9b and baseline of 13.0b

bsearch60.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
2.8s3937×body160valid
1.0s4063×body80valid