Details

Time bar (total: 2.1m)

sample91.0ms

Algorithm
intervals
Results
40.0ms119×body160valid
23.0ms137×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
43751
3849
2267
181
026

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
0.2b
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
0.4b
(+ 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))))))))
13.0b
(- 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))))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
12×add-exp-log
8×add-cbrt-cube add-log-exp
6×pow1 associate-/r* associate-/l*
4×div-exp associate-/r/
3×flip3-+ flip-+
2×cbrt-undiv rec-exp associate-+r+ clear-num frac-2neg 1-exp div-inv pow-flip inv-pow
1×distribute-rgt-in +-commutative sum-log sub-neg distribute-lft-in flip3-- diff-log flip--
Counts
4 → 91
Calls
4 calls:
12.0ms
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
12.0ms
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
9.0ms
(+ 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))))))))
9.0ms
(- 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))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
46.0ms
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
416.0ms
(+ 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))))))))
1.1s
(- 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))))))

simplify15.7s

Counts
103 → 103
Iterations
IterNodes
37629
21807
1450
0166

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 13.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ (/ 1.061405429 (+ (* (fabs x) 0.3275911) 1)) -1.453152027) (+ (* (fabs x) 0.3275911) 1))
0.4b
(+ (/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ (* (fabs x) 0.3275911) 1)) -1.453152027) (+ (* (fabs x) 0.3275911) 1)) 1.421413741) (+ (* (fabs x) 0.3275911) 1)) -0.284496736) (+ (* (fabs x) 0.3275911) 1)) 0.254829592)
13.0b
(- 1 (/ (/ (+ (/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ (* (fabs x) 0.3275911) 1)) -1.453152027) (+ (* (fabs x) 0.3275911) 1)) 1.421413741) (+ (* (fabs x) 0.3275911) 1)) -0.284496736) (+ (* (fabs x) 0.3275911) 1)) 0.254829592) (+ (* (fabs x) 0.3275911) 1)) (exp (* (fabs x) (fabs x)))))
13.0b
(log (exp (- 1 (/ (/ (+ (/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ (* (fabs x) 0.3275911) 1)) -1.453152027) (+ (* (fabs x) 0.3275911) 1)) 1.421413741) (+ (* (fabs x) 0.3275911) 1)) -0.284496736) (+ (* (fabs x) 0.3275911) 1)) 0.254829592) (+ (* (fabs x) 0.3275911) 1)) (exp (* (fabs x) (fabs x)))))))

rewrite57.4s

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×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 → 91
Calls
4 calls:
105.0ms
(/ (+ (/ 1.061405429 (+ (* (fabs x) 0.3275911) 1)) -1.453152027) (+ (* (fabs x) 0.3275911) 1))
4.1s
(+ (/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ (* (fabs x) 0.3275911) 1)) -1.453152027) (+ (* (fabs x) 0.3275911) 1)) 1.421413741) (+ (* (fabs x) 0.3275911) 1)) -0.284496736) (+ (* (fabs x) 0.3275911) 1)) 0.254829592)
10.6s
(- 1 (/ (/ (+ (/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ (* (fabs x) 0.3275911) 1)) -1.453152027) (+ (* (fabs x) 0.3275911) 1)) 1.421413741) (+ (* (fabs x) 0.3275911) 1)) -0.284496736) (+ (* (fabs x) 0.3275911) 1)) 0.254829592) (+ (* (fabs x) 0.3275911) 1)) (exp (* (fabs x) (fabs x)))))
42.7s
(log (exp (- 1 (/ (/ (+ (/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ (* (fabs x) 0.3275911) 1)) -1.453152027) (+ (* (fabs x) 0.3275911) 1)) 1.421413741) (+ (* (fabs x) 0.3275911) 1)) -0.284496736) (+ (* (fabs x) 0.3275911) 1)) 0.254829592) (+ (* (fabs x) 0.3275911) 1)) (exp (* (fabs x) (fabs x)))))))

series2.5s

Counts
4 → 12
Calls
4 calls:
126.0ms
(/ (+ (/ 1.061405429 (+ (* (fabs x) 0.3275911) 1)) -1.453152027) (+ (* (fabs x) 0.3275911) 1))
387.0ms
(+ (/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ (* (fabs x) 0.3275911) 1)) -1.453152027) (+ (* (fabs x) 0.3275911) 1)) 1.421413741) (+ (* (fabs x) 0.3275911) 1)) -0.284496736) (+ (* (fabs x) 0.3275911) 1)) 0.254829592)
999.0ms
(- 1 (/ (/ (+ (/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ (* (fabs x) 0.3275911) 1)) -1.453152027) (+ (* (fabs x) 0.3275911) 1)) 1.421413741) (+ (* (fabs x) 0.3275911) 1)) -0.284496736) (+ (* (fabs x) 0.3275911) 1)) 0.254829592) (+ (* (fabs x) 0.3275911) 1)) (exp (* (fabs x) (fabs x)))))
1.0s
(log (exp (- 1 (/ (/ (+ (/ (+ (/ (+ (/ (+ (/ 1.061405429 (+ (* (fabs x) 0.3275911) 1)) -1.453152027) (+ (* (fabs x) 0.3275911) 1)) 1.421413741) (+ (* (fabs x) 0.3275911) 1)) -0.284496736) (+ (* (fabs x) 0.3275911) 1)) 0.254829592) (+ (* (fabs x) 0.3275911) 1)) (exp (* (fabs x) (fabs x)))))))

simplify9.4s

Counts
103 → 103
Iterations
IterNodes
35847
21678
1601
0249

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 13.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
0.2b
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
0.2b
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
13.0b
(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) -0.284496736)) (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (* (/ 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))))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
16×add-exp-log
10×add-cbrt-cube
9×associate-/r* associate-/l*
7×pow1
6×div-exp associate-/r/ add-log-exp
3×cbrt-undiv rec-exp clear-num frac-2neg flip3-+ 1-exp flip-+ div-inv pow-flip inv-pow
1×sub-neg flip3-- diff-log flip--
Counts
4 → 111
Calls
4 calls:
12.0ms
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
9.0ms
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
12.0ms
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
4.0ms
(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) -0.284496736)) (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (* (/ 1 (+ 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))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
52.0ms
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
51.0ms
(/ 1 (+ 1 (* 0.3275911 (fabs x))))
1.0s
(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) -0.284496736)) (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (* (/ 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))))))

simplify10.8s

Counts
123 → 123
Iterations
IterNodes
35335
21380
1343
0132

prune2.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x)))
0.8b
(/ 1 (- (* 1 1) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x)))))
13.0b
(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) -0.284496736)) (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (* (* (/ 1 (- (* 1 1) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 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))))))
16.6b
(* (/ 1 (- (* 1 1) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1 (* 0.3275911 (fabs x))))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
46×pow1
29×add-sqr-sqrt add-exp-log
26×times-frac
23×*-un-lft-identity add-cbrt-cube
22×add-cube-cbrt
19×associate-*l*
18×pow-prod-down
12×prod-exp
10×cbrt-unprod
7×difference-of-squares
6×add-log-exp
5×flip3-- flip--
4×associate-/r* div-exp associate-*r* associate-/r/ pow-sqr pow-prod-up
3×sub-neg associate-/l* unswap-sqr
2×distribute-rgt-in frac-times cbrt-undiv rec-exp distribute-lft-in pow-plus 1-exp associate-*r/ *-commutative div-inv
1×pow2 clear-num frac-2neg diff-log swap-sqr associate-*l/ pow-flip inv-pow
Counts
4 → 131
Calls
4 calls:
38.0ms
(* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x)))
32.0ms
(/ 1 (- (* 1 1) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x)))))
4.0ms
(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) -0.284496736)) (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (* (* (/ 1 (- (* 1 1) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 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))))))
110.0ms
(* (/ 1 (- (* 1 1) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1 (* 0.3275911 (fabs x))))

series2.8s

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x)))
78.0ms
(/ 1 (- (* 1 1) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x)))))
2.6s
(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) -0.284496736)) (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (* (* (/ 1 (- (* 1 1) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 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))))))
126.0ms
(* (/ 1 (- (* 1 1) (* (* 0.3275911 (fabs x)) (* 0.3275911 (fabs x))))) (- 1 (* 0.3275911 (fabs x))))

simplify7.4s

Counts
143 → 143
Iterations
IterNodes
22630
1721
0248

prune2.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 12.9b

regimes315.0ms

Accuracy

0% (0.0b remaining)

Error of 13.4b against oracle of 13.4b and baseline of 13.4b

bsearch0.0ms

simplify21.0ms

Iterations
IterNodes
252
152
035

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.6s3802×body160valid
1.4s4198×body80valid