Details

Time bar (total: 40.4s)

sample102.0ms

Algorithm
intervals
Results
37.0ms119×body160valid
21.0ms137×body80valid

simplify580.0ms

Counts
1 → 1
Iterations
IterNodes
done5002
31118
2295
182
026

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.1b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.061405429)) -1.453152027) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))))
0.2b
(/ (+ (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ -0.284496736 (* (+ (* (+ (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.061405429)) -1.453152027) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) 1.421413741) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))))) 0.254829592) (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0))
0.4b
(+ (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ -0.284496736 (* (+ (* (+ (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.061405429)) -1.453152027) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) 1.421413741) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))))) 0.254829592)
13.0b
(- 1.0 (/ (/ (+ (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ -0.284496736 (* (+ (* (+ (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.061405429)) -1.453152027) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) 1.421413741) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))))) 0.254829592) (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0)) (pow (exp (fabs x)) (fabs x))))

rewrite451.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
94×add-sqr-sqrt
58×*-un-lft-identity
54×add-cube-cbrt
15×associate-*r*
14×add-cbrt-cube add-exp-log
13×associate-/r*
10×difference-of-squares
8×add-log-exp
6×pow1 div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp associate-*l*
3×unpow-prod-down associate-/r/ associate-/l* sqr-pow
2×frac-times associate-+l+ associate-*l/ prod-exp cbrt-unprod unswap-sqr associate-/l/
1×distribute-rgt-in +-commutative clear-num sum-log sub-neg frac-2neg distribute-lft-in flip3-- diff-log pow-prod-down associate-*r/ *-commutative flip-- distribute-lft-out distribute-lft-out--
Counts
4 → 147
Calls
4 calls:
196.0ms
(* (+ (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.061405429)) -1.453152027) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))))
52.0ms
(/ (+ (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ -0.284496736 (* (+ (* (+ (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.061405429)) -1.453152027) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) 1.421413741) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))))) 0.254829592) (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0))
12.0ms
(+ (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ -0.284496736 (* (+ (* (+ (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.061405429)) -1.453152027) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) 1.421413741) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))))) 0.254829592)
182.0ms
(- 1.0 (/ (/ (+ (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ -0.284496736 (* (+ (* (+ (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.061405429)) -1.453152027) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) 1.421413741) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))))) 0.254829592) (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0)) (pow (exp (fabs x)) (fabs x))))

series3.0s

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (+ (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.061405429)) -1.453152027) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))))
540.0ms
(/ (+ (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ -0.284496736 (* (+ (* (+ (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.061405429)) -1.453152027) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) 1.421413741) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))))) 0.254829592) (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0))
434.0ms
(+ (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ -0.284496736 (* (+ (* (+ (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.061405429)) -1.453152027) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) 1.421413741) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))))) 0.254829592)
1.8s
(- 1.0 (/ (/ (+ (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ -0.284496736 (* (+ (* (+ (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.061405429)) -1.453152027) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) 1.421413741) (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))))) 0.254829592) (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0)) (pow (exp (fabs x)) (fabs x))))

simplify591.0ms

Counts
159 → 159
Iterations
IterNodes
done5000
11109
0390

prune1.5s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ (* (fabs x) 0.3275911) 1.0))
0.2b
(/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0))
0.2b
(/ (+ (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592)) (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0))
13.0b
(- 1.0 (/ (/ (+ (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592)) (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0)) (pow (exp (fabs x)) (fabs x))))

rewrite3.8s

Algorithm
rewrite-expression-head
Rules
105×times-frac
91×add-sqr-sqrt
58×*-un-lft-identity
56×add-cube-cbrt
19×associate-/r*
16×add-cbrt-cube add-exp-log
10×difference-of-squares
7×div-inv associate-/l*
6×cbrt-undiv div-exp add-log-exp associate-/l/
5×flip3-+ associate-/r/ flip-+
4×pow1
3×clear-num unpow-prod-down frac-2neg sqr-pow
2×associate-*l/ frac-add associate-*r/
1×sub-neg flip3-- diff-log prod-exp cbrt-unprod flip-- distribute-lft-out--
Counts
4 → 151
Calls
4 calls:
20.0ms
(/ 1.0 (+ (* (fabs x) 0.3275911) 1.0))
34.0ms
(/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0))
2.1s
(/ (+ (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592)) (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0))
1.7s
(- 1.0 (/ (/ (+ (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592)) (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0)) (pow (exp (fabs x)) (fabs x))))

series2.5s

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ 1.0 (+ (* (fabs x) 0.3275911) 1.0))
135.0ms
(/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0))
575.0ms
(/ (+ (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592)) (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0))
1.7s
(- 1.0 (/ (/ (+ (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592)) (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0)) (pow (exp (fabs x)) (fabs x))))

simplify636.0ms

Counts
163 → 163
Iterations
IterNodes
done5000
11155
0401

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.0b

localize199.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- (* (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))))) (* (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592) (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592))) (* (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0) (- (- (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ (/ (* 1.0 (+ (/ (* 1.061405429 1.0) (+ 1.0 (* (fabs x) 0.3275911))) -1.453152027)) (+ 1.0 (* (fabs x) 0.3275911))) 1.421413741))))) 0.254829592)))
0.5b
(- (- (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ (/ (* 1.0 (+ (/ (* 1.061405429 1.0) (+ 1.0 (* (fabs x) 0.3275911))) -1.453152027)) (+ 1.0 (* (fabs x) 0.3275911))) 1.421413741))))) 0.254829592)
0.5b
(* (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592) (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592))
13.0b
(- 1.0 (/ (/ (- (* (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))))) (* (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592) (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592))) (* (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0) (- (- (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ (/ (* 1.0 (+ (/ (* 1.061405429 1.0) (+ 1.0 (* (fabs x) 0.3275911))) -1.453152027)) (+ 1.0 (* (fabs x) 0.3275911))) 1.421413741))))) 0.254829592))) (pow (exp (fabs x)) (fabs x))))

rewrite2.4s

Algorithm
rewrite-expression-head
Rules
50×associate-*r/
28×*-un-lft-identity
26×frac-times associate-/l/
24×add-sqr-sqrt flip3-+ frac-sub flip-+
17×associate-*l/
15×add-cbrt-cube add-exp-log
11×pow1 add-log-exp
10×add-cube-cbrt
7×times-frac difference-of-squares
6×swap-sqr distribute-lft-out
5×flip3-- associate-/r/ flip--
4×cbrt-undiv diff-log div-exp associate-*r* associate-*l* associate-/l*
3×sub-neg div-sub prod-exp cbrt-unprod
2×associate--l+ distribute-lft-out--
1×associate--l- pow2 distribute-rgt-in clear-num associate-/r* unpow-prod-down frac-2neg distribute-lft-in pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up div-inv associate--r- unswap-sqr sqr-pow
Counts
4 → 133
Calls
4 calls:
416.0ms
(/ (- (* (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))))) (* (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592) (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592))) (* (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0) (- (- (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ (/ (* 1.0 (+ (/ (* 1.061405429 1.0) (+ 1.0 (* (fabs x) 0.3275911))) -1.453152027)) (+ 1.0 (* (fabs x) 0.3275911))) 1.421413741))))) 0.254829592)))
248.0ms
(- (- (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ (/ (* 1.0 (+ (/ (* 1.061405429 1.0) (+ 1.0 (* (fabs x) 0.3275911))) -1.453152027)) (+ 1.0 (* (fabs x) 0.3275911))) 1.421413741))))) 0.254829592)
1.4s
(* (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592) (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592))
258.0ms
(- 1.0 (/ (/ (- (* (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))))) (* (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592) (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592))) (* (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0) (- (- (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ (/ (* 1.0 (+ (/ (* 1.061405429 1.0) (+ 1.0 (* (fabs x) 0.3275911))) -1.453152027)) (+ 1.0 (* (fabs x) 0.3275911))) 1.421413741))))) 0.254829592))) (pow (exp (fabs x)) (fabs x))))

series11.4s

Counts
4 → 12
Calls
4 calls:
2.1s
(/ (- (* (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))))) (* (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592) (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592))) (* (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0) (- (- (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ (/ (* 1.0 (+ (/ (* 1.061405429 1.0) (+ 1.0 (* (fabs x) 0.3275911))) -1.453152027)) (+ 1.0 (* (fabs x) 0.3275911))) 1.421413741))))) 0.254829592)))
435.0ms
(- (- (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ (/ (* 1.0 (+ (/ (* 1.061405429 1.0) (+ 1.0 (* (fabs x) 0.3275911))) -1.453152027)) (+ 1.0 (* (fabs x) 0.3275911))) 1.421413741))))) 0.254829592)
435.0ms
(* (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592) (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592))
8.5s
(- 1.0 (/ (/ (- (* (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))))) (* (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592) (+ (/ (* 1.0 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) (+ (/ (* (+ -1.453152027 (* (/ 1.0 (+ (* (fabs x) 0.3275911) 1.0)) 1.061405429)) 1.0) (+ (* (fabs x) 0.3275911) 1.0)) 1.421413741))) (+ (* (fabs x) 0.3275911) 1.0)) 0.254829592))) (* (/ (+ 1.0 (* (fabs x) 0.3275911)) 1.0) (- (- (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ (/ (* 1.0 (+ (/ (* 1.061405429 1.0) (+ 1.0 (* (fabs x) 0.3275911))) -1.453152027)) (+ 1.0 (* (fabs x) 0.3275911))) 1.421413741))))) 0.254829592))) (pow (exp (fabs x)) (fabs x))))

simplify1.1s

Counts
145 → 145
Iterations
IterNodes
done5000
11303
0418

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 13.0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 1.0 (* (fabs x) 0.3275911)))
0.2b
(cbrt (+ 1.0 (* (fabs x) 0.3275911)))
0.2b
(* (cbrt (+ 1.0 (* (fabs x) 0.3275911))) (cbrt (+ 1.0 (* (fabs x) 0.3275911))))
13.0b
(- 1.0 (/ (* (/ (* 1 (sqrt 1.0)) (* (cbrt (+ 1.0 (* (fabs x) 0.3275911))) (cbrt (+ 1.0 (* (fabs x) 0.3275911))))) (/ (+ (+ (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) 0.254829592) (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ (/ (* 1.0 (+ (/ (* 1.061405429 1.0) (+ 1.0 (* (fabs x) 0.3275911))) -1.453152027)) (+ 1.0 (* (fabs x) 0.3275911))) 1.421413741))))) (/ (cbrt (+ 1.0 (* (fabs x) 0.3275911))) (sqrt 1.0)))) (pow (exp (fabs x)) (fabs x))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×cbrt-div *-un-lft-identity
14×add-cube-cbrt
11×pow1
8×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log add-log-exp
4×frac-times add-cbrt-cube unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 sub-neg pow-plus flip3-- diff-log prod-exp *-commutative cbrt-unprod flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 88
Calls
4 calls:
7.0ms
(cbrt (+ 1.0 (* (fabs x) 0.3275911)))
4.0ms
(cbrt (+ 1.0 (* (fabs x) 0.3275911)))
31.0ms
(* (cbrt (+ 1.0 (* (fabs x) 0.3275911))) (cbrt (+ 1.0 (* (fabs x) 0.3275911))))
13.0ms
(- 1.0 (/ (* (/ (* 1 (sqrt 1.0)) (* (cbrt (+ 1.0 (* (fabs x) 0.3275911))) (cbrt (+ 1.0 (* (fabs x) 0.3275911))))) (/ (+ (+ (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) 0.254829592) (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ (/ (* 1.0 (+ (/ (* 1.061405429 1.0) (+ 1.0 (* (fabs x) 0.3275911))) -1.453152027)) (+ 1.0 (* (fabs x) 0.3275911))) 1.421413741))))) (/ (cbrt (+ 1.0 (* (fabs x) 0.3275911))) (sqrt 1.0)))) (pow (exp (fabs x)) (fabs x))))

series2.8s

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt (+ 1.0 (* (fabs x) 0.3275911)))
203.0ms
(cbrt (+ 1.0 (* (fabs x) 0.3275911)))
192.0ms
(* (cbrt (+ 1.0 (* (fabs x) 0.3275911))) (cbrt (+ 1.0 (* (fabs x) 0.3275911))))
2.3s
(- 1.0 (/ (* (/ (* 1 (sqrt 1.0)) (* (cbrt (+ 1.0 (* (fabs x) 0.3275911))) (cbrt (+ 1.0 (* (fabs x) 0.3275911))))) (/ (+ (+ (* -0.284496736 (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911)))) 0.254829592) (/ 1.0 (/ (+ 1.0 (* (fabs x) 0.3275911)) (* (/ 1.0 (+ 1.0 (* (fabs x) 0.3275911))) (+ (/ (* 1.0 (+ (/ (* 1.061405429 1.0) (+ 1.0 (* (fabs x) 0.3275911))) -1.453152027)) (+ 1.0 (* (fabs x) 0.3275911))) 1.421413741))))) (/ (cbrt (+ 1.0 (* (fabs x) 0.3275911))) (sqrt 1.0)))) (pow (exp (fabs x)) (fabs x))))

simplify1.5s

Counts
100 → 100
Iterations
IterNodes
done5001
22546
1449
0175

prune840.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 13.0b

regimes246.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done62
262
160
045

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.5s3921×body160valid
946.0ms4079×body80valid