Details

Time bar (total: 12.4s)

sample95.0ms

Algorithm
intervals
Results
48.0ms108×body1280valid
22.0ms87×body640valid
7.0ms259×body80nan
5.0ms38×body320valid
2.0ms18×body160valid
0.0ms5×body80valid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0912
11812
22412
33912
45612
57812
69312
710112
done10112

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.6b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
11.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series155.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (+ 1.0 x) (- 1.0 x))
119.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.0s

Counts
88 → 88
Iterations

Useful iterations: 3 (412.0ms)

IterNodesCost
01421276
13161221
28151150
323281108
done50001108

prune179.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
71×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
37×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp add-log-exp
5×associate-+r+ associate-*r/
4×pow1 frac-add
3×log-prod flip3-+ associate-*l* associate--l+ flip-+
2×associate-+l+ flip3-- sum-log flip-- cbrt-unprod
1×cbrt-undiv +-commutative distribute-rgt-in associate-+r- sub-neg distribute-lft-in diff-log pow-prod-down *-commutative div-inv
Counts
2 → 134
Calls
2 calls:
10.0ms
(+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
25.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series346.0ms

Counts
2 → 6
Calls
2 calls:
293.0ms
(+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
53.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify891.0ms

Counts
140 → 140
Iterations

Useful iterations: 2 (393.0ms)

IterNodesCost
02962431
18042135
228721886
done50011886

prune390.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
0.6b
(cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
102×cbrt-div
74×associate-*r/
68×frac-add
51×flip3-+ flip-+
36×frac-times
34×flip3-- flip--
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l* associate-*l/
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 139
Calls
4 calls:
74.0ms
(* (cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
9.0ms
(cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
9.0ms
(cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
9.0ms
(cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

series973.0ms

Counts
4 → 12
Calls
4 calls:
272.0ms
(* (cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
240.0ms
(cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
234.0ms
(cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
226.0ms
(cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

simplify778.0ms

Counts
151 → 151
Iterations

Useful iterations: 2 (254.0ms)

IterNodesCost
030913799
172612310
2266511735
done500111735

prune746.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

2.8b
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))
2.8b
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))
15.8b
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))) (pow x 2))
15.8b
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))) (* (pow x 2) (pow 4.0 2)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
103×add-exp-log
75×prod-exp
52×div-exp
41×pow-to-exp pow-exp
21×add-cbrt-cube
20×exp-sum
12×add-sqr-sqrt add-cube-cbrt log-prod *-un-lft-identity associate--l+
10×distribute-rgt-in distribute-lft-in
9×times-frac associate-/r*
8×add-log-exp
6×cbrt-undiv unpow-prod-down
5×cbrt-unprod
4×pow1 sub-neg
2×exp-prod exp-to-pow frac-2neg clear-num div-inv rem-exp-log associate-/l* unpow2 sqr-pow
Counts
4 → 138
Calls
4 calls:
4.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))
4.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))
10.0ms
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))) (pow x 2))
11.0ms
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))) (* (pow x 2) (pow 4.0 2)))

series2.0s

Counts
4 → 12
Calls
4 calls:
364.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))
365.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))
584.0ms
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))) (pow x 2))
655.0ms
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))) (* (pow x 2) (pow 4.0 2)))

simplify792.0ms

Counts
150 → 150
Iterations

Useful iterations: 2 (274.0ms)

IterNodesCost
02073696
15123436
221842806
done50002806

prune715.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes129.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01624
12124
done2124

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.5s3365×body1280valid
612.0ms2486×body640valid
218.0ms8082×body80nan
185.0ms1264×body320valid
60.0ms682×body160valid
12.0ms203×body80valid