Details

Time bar (total: 29.0s)

sample217.0ms

Algorithm
intervals
Results
75.0ms55×body1280valid
40.0ms57×body10240exit
34.0ms326×body80valid
30.0ms60×body640valid
6.0ms20×body320valid
2.0ms8×body160valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
01929
14629
212229
333527
493327
5408427
done500027

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 eps) x)
0.0b
(* (+ 1.0 (/ 1.0 eps)) (exp (- (* (- 1.0 eps) x))))
0.0b
(* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x))))
2.4b
(- (* (+ 1.0 (/ 1.0 eps)) (exp (- (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x)))))

rewrite312.0ms

Algorithm
rewrite-expression-head
Rules
81×frac-sub
80×exp-neg frac-times
60×neg-sub0 exp-diff
42×associate-*l/
40×associate-*r/
32×flip3-- flip--
30×flip3-+ flip-+
23×add-sqr-sqrt
20×un-div-inv
16×*-un-lft-identity
15×associate-*l*
10×pow1 add-cube-cbrt add-cbrt-cube
9×associate-*r*
8×add-exp-log
6×add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
2×distribute-lft-out--
1×sub-neg times-frac diff-log distribute-lft-out
Counts
4 → 173
Calls
4 calls:
30.0ms
(* (- 1.0 eps) x)
69.0ms
(* (+ 1.0 (/ 1.0 eps)) (exp (- (* (- 1.0 eps) x))))
108.0ms
(* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x))))
85.0ms
(- (* (+ 1.0 (/ 1.0 eps)) (exp (- (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x)))))

series471.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (- 1.0 eps) x)
55.0ms
(* (+ 1.0 (/ 1.0 eps)) (exp (- (* (- 1.0 eps) x))))
80.0ms
(* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x))))
294.0ms
(- (* (+ 1.0 (/ 1.0 eps)) (exp (- (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x)))))

simplify2.8s

Counts
185 → 185
Iterations

Useful iterations: done (2.8s)

IterNodesCost
03978268
110157516
238656964
done50006950

prune635.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 0.6666666666666667 (pow x 3))
5.0b
(- (+ (* 0.6666666666666667 (pow x 3)) 2.0) (* 1.0 (pow x 2)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log add-log-exp
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 diff-log sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- unpow3 pow-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod
Counts
2 → 45
Calls
2 calls:
17.0ms
(* 0.6666666666666667 (pow x 3))
90.0ms
(- (+ (* 0.6666666666666667 (pow x 3)) 2.0) (* 1.0 (pow x 2)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* 0.6666666666666667 (pow x 3))
42.0ms
(- (+ (* 0.6666666666666667 (pow x 3)) 2.0) (* 1.0 (pow x 2)))

simplify3.5s

Counts
51 → 51
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
084590
1206548
2676498
33807462
done5000462

prune166.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x x) (- (* 0.6666666666666667 x) 1.0))
0.4b
(exp (log (+ 2.0 (* (* x x) (- (* 0.6666666666666667 x) 1.0)))))
7.8b
(log (+ 2.0 (* (* x x) (- (* 0.6666666666666667 x) 1.0))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
9×add-exp-log
8×add-sqr-sqrt add-cbrt-cube
7×add-cube-cbrt *-un-lft-identity
6×log-prod
4×log-div exp-prod
3×associate-*r* exp-sum pow-prod-down prod-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in flip3-+ exp-diff associate-*r/ log-pow flip-+
1×flip3-- rem-log-exp associate-*l* *-commutative flip-- rem-exp-log unswap-sqr
Counts
3 → 56
Calls
3 calls:
82.0ms
(* (* x x) (- (* 0.6666666666666667 x) 1.0))
12.0ms
(exp (log (+ 2.0 (* (* x x) (- (* 0.6666666666666667 x) 1.0)))))
8.0ms
(log (+ 2.0 (* (* x x) (- (* 0.6666666666666667 x) 1.0))))

series295.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(* (* x x) (- (* 0.6666666666666667 x) 1.0))
72.0ms
(exp (log (+ 2.0 (* (* x x) (- (* 0.6666666666666667 x) 1.0)))))
119.0ms
(log (+ 2.0 (* (* x x) (- (* 0.6666666666666667 x) 1.0))))

simplify3.4s

Counts
65 → 65
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01411147
13251038
21033911
33921908
done5001904

prune249.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (* x 0.6666666666666667) 1.0) x)
0.0b
(* x (* (- (* x 0.6666666666666667) 1.0) x))
0.4b
(exp (log (+ 2.0 (* x (* (- (* x 0.6666666666666667) 1.0) x)))))
7.8b
(log (+ 2.0 (* x (* (- (* x 0.6666666666666667) 1.0) x))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1
12×add-exp-log add-sqr-sqrt
11×add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
6×log-prod associate-*l*
4×log-div exp-prod associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod add-log-exp
3×exp-sum
2×flip3-- flip3-+ exp-diff associate-*r/ log-pow *-commutative flip-- flip-+
1×rem-log-exp rem-exp-log unswap-sqr
Counts
4 → 71
Calls
4 calls:
53.0ms
(* (- (* x 0.6666666666666667) 1.0) x)
92.0ms
(* x (* (- (* x 0.6666666666666667) 1.0) x))
12.0ms
(exp (log (+ 2.0 (* x (* (- (* x 0.6666666666666667) 1.0) x)))))
7.0ms
(log (+ 2.0 (* x (* (- (* x 0.6666666666666667) 1.0) x))))

series425.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(* (- (* x 0.6666666666666667) 1.0) x)
130.0ms
(* x (* (- (* x 0.6666666666666667) 1.0) x))
54.0ms
(exp (log (+ 2.0 (* x (* (- (* x 0.6666666666666667) 1.0) x)))))
123.0ms
(log (+ 2.0 (* x (* (- (* x 0.6666666666666667) 1.0) x))))

simplify3.0s

Counts
83 → 83
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01521313
13351215
29731066
334141051
done50001047

prune300.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

regimes103.0ms

Accuracy

96.2% (0.6b remaining)

Error of 1.1b against oracle of 0.5b and baseline of 16.3b

bsearch236.0ms

Steps
ItersRangePoint
9
0.3311692926351245
51141.47312026252
84.47417936124704

simplify13.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03152
14552
25152
done5152

end0.0ms

sample9.1s

Algorithm
intervals
Results
2.4s1828×body10240exit
2.3s9885×body80valid
2.1s1778×body1280valid
1.3s1313×body640valid
266.0ms632×body320valid
67.0ms297×body160valid