Details

Time bar (total: 36.0s)

sample90.0ms

Algorithm
intervals
Results
31.0ms121×body160valid
29.0ms135×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5002
31118
2295
182
026

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize94.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.4b
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
13.2b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
8×add-cbrt-cube add-exp-log add-log-exp
6×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-+ flip-+
2×cbrt-undiv associate-+r+ clear-num frac-2neg div-exp div-inv
1×distribute-rgt-in +-commutative sum-log sub-neg distribute-lft-in flip3-- diff-log flip--
Counts
4 → 83
Calls
4 calls:
15.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
15.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
11.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
17.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

series2.0s

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
60.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
481.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
1.4s
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

simplify2.6s

Counts
95 → 95
Iterations
IterNodes
done5000
22104
1455
0164

prune981.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.2b

localize104.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.4b
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))
3.6b
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
13.2b
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
16×log-pow
15×exp-prod
8×add-log-exp
6×add-cbrt-cube add-exp-log
5×pow1
4×associate-/r/
3×log-prod associate-/r* flip3-+ flip-+ associate-/l*
2×associate-+r+ div-inv
1×distribute-rgt-in cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg distribute-lft-in flip3-- diff-log div-exp rem-log-exp flip--
Counts
4 → 81
Calls
4 calls:
8.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
5.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))
26.0ms
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
7.0ms
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

series1.8s

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
448.0ms
(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))
63.0ms
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
1.3s
(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

simplify2.4s

Counts
93 → 93
Iterations
IterNodes
done5000
22247
1512
0208

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.2b

localize314.0ms

Local error

Found 4 expressions with local error:

3.6b
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
3.6b
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
3.6b
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
12.7b
(- (pow 1.0 3) (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
48×log-pow
45×exp-prod
38×add-sqr-sqrt
30×*-un-lft-identity
28×add-cube-cbrt
27×times-frac
9×log-prod
8×difference-of-squares
7×pow1
6×associate-/r/ add-log-exp sqr-pow
4×add-cbrt-cube add-exp-log
3×flip3-+ rem-log-exp flip-+ div-inv
2×unpow-prod-down cube-prod
1×difference-cubes sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 103
Calls
4 calls:
22.0ms
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
14.0ms
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
20.0ms
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
29.0ms
(- (pow 1.0 3) (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3))

series5.3s

Counts
4 → 12
Calls
4 calls:
41.0ms
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
36.0ms
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
49.0ms
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
5.2s
(- (pow 1.0 3) (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3))

simplify4.3s

Counts
115 → 115
Iterations
IterNodes
done5000
22954
1653
0263

prune2.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 12.5b

localize437.0ms

Local error

Found 4 expressions with local error:

3.6b
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
3.6b
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
3.6b
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
12.7b
(- (pow (sqrt 1.0) 3) (sqrt (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
48×log-pow
45×exp-prod
30×*-un-lft-identity
28×add-cube-cbrt
27×times-frac
18×sqrt-prod difference-of-squares
9×log-prod sqr-pow
7×pow1
6×unpow-prod-down cube-prod associate-/r/ add-log-exp
4×add-cbrt-cube add-exp-log
3×flip3-+ rem-log-exp flip-+ div-inv
1×sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 112
Calls
4 calls:
28.0ms
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
28.0ms
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
28.0ms
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
49.0ms
(- (pow (sqrt 1.0) 3) (sqrt (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)))

series1.5s

Counts
4 → 12
Calls
4 calls:
57.0ms
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
55.0ms
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
45.0ms
(log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))))
1.3s
(- (pow (sqrt 1.0) 3) (sqrt (pow (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (log (exp (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))) 3)))

simplify3.7s

Counts
124 → 124
Iterations
IterNodes
done5002
21659
1403
0180

prune2.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 12.4b

regimes247.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify46.0ms

Iterations
IterNodes
done72
172
049

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.6s3898×body160valid
668.0ms4102×body80valid