Details

Time bar (total: 3.1m)

sample96.0ms

Algorithm
intervals
Results
40.0ms123×body160valid
15.0ms133×body80valid

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5001
43336
3872
2278
183
026

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.6b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 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))) -0.284496736) (+ 1 (* (fabs x) 0.3275911)))
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)
13.5b
(- 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))))))

rewrite18.4s

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:
494.0ms
(/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))
2.3s
(/ (+ (/ (+ (/ (+ (/ 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)))
4.4s
(+ (/ (+ (/ (+ (/ (+ (/ 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))) 0.254829592)
11.2s
(- 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))))))

series1.9s

Counts
4 → 12
Calls
4 calls:
209.0ms
(/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))
358.0ms
(/ (+ (/ (+ (/ (+ (/ 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)))
401.0ms
(+ (/ (+ (/ (+ (/ (+ (/ 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)
963.0ms
(- 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))))))

simplify2.7s

Counts
113 → 113
Iterations
IterNodes
done5001
22285
1678
0253

prune655.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 13.5b

localize72.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))
0.1b
(/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911)))
0.4b
(+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
13.5b
(- 1 (/ (+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))))

rewrite18.8s

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
27×times-frac
26×add-sqr-sqrt
23×add-cube-cbrt
13×distribute-lft-out
8×add-cbrt-cube add-exp-log associate-/l* add-log-exp
7×associate-/r*
6×div-inv
5×flip3-+ flip-+
4×pow1 associate-/r/ insert-posit16 associate-/l/
2×cbrt-undiv clear-num frac-2neg div-exp difference-of-squares
1×+-commutative sum-log sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
4 → 105
Calls
4 calls:
254.0ms
(/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))
2.1s
(/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911)))
4.3s
(+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
12.0s
(- 1 (/ (+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))))

series2.1s

Counts
4 → 12
Calls
4 calls:
242.0ms
(/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))
365.0ms
(/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911)))
414.0ms
(+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
1.0s
(- 1 (/ (+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))))

simplify3.1s

Counts
117 → 117
Iterations
IterNodes
done5004
22496
1711
0262

prune816.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 13.5b

localize82.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911)))
0.4b
(+ (log (exp (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))))) 0.254829592)
2.8b
(log (exp (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911)))))
13.5b
(- 1 (/ (+ (log (exp (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))))

rewrite52.4s

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
30×times-frac
28×add-sqr-sqrt
25×add-cube-cbrt
23×log-pow
21×exp-prod
16×distribute-lft-out
9×div-inv
7×add-log-exp
6×pow1 log-prod add-cbrt-cube add-exp-log
5×associate-/l*
4×flip3-+ associate-/r/ flip-+ insert-posit16
3×associate-+l+ associate-/r*
2×difference-of-squares associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log div-exp rem-log-exp flip-- distribute-lft-out--
Counts
4 → 107
Calls
4 calls:
2.1s
(/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911)))
13.0s
(+ (log (exp (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))))) 0.254829592)
2.7s
(log (exp (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911)))))
34.6s
(- 1 (/ (+ (log (exp (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))))

series2.0s

Counts
4 → 12
Calls
4 calls:
303.0ms
(/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911)))
386.0ms
(+ (log (exp (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))))) 0.254829592)
337.0ms
(log (exp (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911)))))
999.0ms
(- 1 (/ (+ (log (exp (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))))) 0.254829592) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))))

simplify3.5s

Counts
119 → 119
Iterations
IterNodes
done5005
21938
1604
0252

prune862.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 13.5b

localize60.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
0.5b
(exp (+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592))
1.0b
(log (exp (+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)))
13.5b
(- 1 (/ (log (exp (+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592))) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))))

rewrite1.1m

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
11×add-log-exp
10×add-sqr-sqrt
8×exp-prod
7×add-cube-cbrt
5×pow1 log-pow
4×log-prod add-cbrt-cube add-exp-log insert-posit16
3×distribute-lft-out
2×sum-log exp-sum difference-of-squares rem-exp-log
1×+-commutative sub-neg flip3-+ flip3-- diff-log rem-log-exp flip-+ flip-- distribute-lft-out--
Counts
4 → 62
Calls
4 calls:
4.6s
(+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
10.8s
(exp (+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592))
12.8s
(log (exp (+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)))
35.8s
(- 1 (/ (log (exp (+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592))) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))))

series2.4s

Counts
4 → 12
Calls
4 calls:
427.0ms
(+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
493.0ms
(exp (+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592))
408.0ms
(log (exp (+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)))
1.1s
(- 1 (/ (log (exp (+ (/ (+ (/ 1 (/ (+ 1 (* (fabs x) 0.3275911)) (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741))) -0.284496736) (+ 1 (* (fabs x) 0.3275911))) 0.254829592))) (* (+ 1 (* (fabs x) 0.3275911)) (exp (* (fabs x) (fabs x))))))

simplify4.3s

Counts
74 → 74
Iterations
IterNodes
done5003
34950
21344
1416
0168

prune526.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 13.5b

regimes108.0ms

Accuracy

0% (0.0b remaining)

Error of 14.0b against oracle of 14.0b and baseline of 14.0b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done36
136
027

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s3974×body160valid
1.1s4026×body80valid