Details

Time bar (total: 13.0s)

sample103.0ms

Algorithm
intervals
Results
51.0ms108×body1280valid
24.0ms87×body640valid
9.0ms259×body80nan
6.0ms38×body320valid
2.0ms18×body160valid
0.0ms5×body80valid

simplify55.0ms

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

localize10.0ms

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:
12.0ms
(/ (+ 1.0 x) (- 1.0 x))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (+ 1.0 x) (- 1.0 x))
123.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.1s

Counts
88 → 88
Iterations

Useful iterations: 3 (428.0ms)

IterNodesCost
01421276
13161221
28151150
323281108
done50001108

prune189.0ms

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)))

rewrite49.0ms

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:
12.0ms
(+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
29.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series351.0ms

Counts
2 → 6
Calls
2 calls:
297.0ms
(+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
54.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify917.0ms

Counts
140 → 140
Iterations

Useful iterations: 2 (390.0ms)

IterNodesCost
02962431
18042135
228721886
done50011886

prune369.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

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))))))

rewrite126.0ms

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:
83.0ms
(* (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)))))))
10.0ms
(cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
12.0ms
(cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
10.0ms
(cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

series953.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(* (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)))))))
229.0ms
(cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
221.0ms
(cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
232.0ms
(cbrt (+ (* 2.0 (+ (* x x) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

simplify825.0ms

Counts
151 → 151
Iterations

Useful iterations: 2 (257.0ms)

IterNodesCost
030913799
172612310
2266511735
done500111735

prune769.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize48.0ms

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)))

rewrite41.0ms

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))))))
11.0ms
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))) (pow x 2))
13.0ms
(/ (* (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:
365.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))
362.0ms
(exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))
583.0ms
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))) (pow x 2))
648.0ms
(/ (* (pow (log 1.0) 2) (exp (* 1/3 (- (log 4.0) (* 2 (log (/ -1 x))))))) (* (pow x 2) (pow 4.0 2)))

simplify790.0ms

Counts
150 → 150
Iterations

Useful iterations: 2 (269.0ms)

IterNodesCost
02073696
15123436
221842806
done50002806

prune926.0ms

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

sample3.1s

Algorithm
intervals
Results
1.6s3365×body1280valid
668.0ms2486×body640valid
264.0ms8082×body80nan
210.0ms1264×body320valid
68.0ms682×body160valid
9.0ms203×body80valid