Details

Time bar (total: 9.3s)

sample96.0ms

Algorithm
intervals
Results
46.0ms99×body1280valid
23.0ms92×body640valid
8.0ms282×body80nan
5.0ms33×body320valid
2.0ms20×body160valid
1.0ms12×body80valid

simplify57.0ms

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: 57.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
6.5b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite20.0ms

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

series154.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (+ 1.0 x) (- 1.0 x))
122.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.3s

Counts
88 → 88
Iterations

Useful iterations: 3 (437.0ms)

IterNodesCost
01421276
13161221
28151150
323371108
done50011108

prune198.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
69×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
35×add-cube-cbrt *-un-lft-identity
24×add-exp-log unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
6×pow-to-exp pow-exp add-cbrt-cube
3×pow1 associate-*l*
2×cbrt-unprod
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 110
Calls
1 calls:
28.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify691.0ms

Counts
113 → 113
Iterations

Useful iterations: 2 (291.0ms)

IterNodesCost
02201482
15271293
216751087
done50011087

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3))
0.0b
(/ (+ 1.0 x) (- 1.0 x))
0.1b
(pow (/ (+ 1.0 x) (- 1.0 x)) 3)
6.5b
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
209×*-un-lft-identity
140×times-frac
137×add-sqr-sqrt
116×cbrt-prod
79×add-cube-cbrt
78×unpow-prod-down cube-prod
61×log-prod
36×distribute-lft-out
29×distribute-lft-out-- difference-of-squares
14×associate-/r/
10×add-exp-log
9×add-cbrt-cube
7×flip3-- flip-- div-inv
6×pow1
5×associate-/r*
4×associate-/l* add-log-exp
3×cube-div cube-mult pow-unpow unpow3 sqr-pow
2×cbrt-undiv cbrt-div pow1/3 div-exp pow-exp log-pow associate-/l/ rem-cube-cbrt
1×pow-to-exp log-div pow-pow frac-2neg flip3-+ rem-log-exp clear-num rem-cbrt-cube flip-+
Counts
4 → 257
Calls
4 calls:
12.0ms
(cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3))
11.0ms
(/ (+ 1.0 x) (- 1.0 x))
14.0ms
(pow (/ (+ 1.0 x) (- 1.0 x)) 3)
15.0ms
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3))
35.0ms
(/ (+ 1.0 x) (- 1.0 x))
52.0ms
(pow (/ (+ 1.0 x) (- 1.0 x)) 3)
119.0ms
(log (cbrt (pow (/ (+ 1.0 x) (- 1.0 x)) 3)))

simplify776.0ms

Counts
269 → 269
Iterations

Useful iterations: done (766.0ms)

IterNodesCost
02595178
16194171
219463821
done50003815

prune333.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* x (+ 1.0 x)) (* 1.0 1.0))))
0.0b
(* x (+ 1.0 x))
6.4b
(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))
6.5b
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
262×add-sqr-sqrt
254×*-un-lft-identity
218×log-prod
200×times-frac
128×difference-of-squares
106×associate-+l+
96×unpow-prod-down cube-prod
68×add-cube-cbrt
64×sqr-pow
55×distribute-lft-out
40×distribute-lft-out--
12×pow1
10×add-exp-log
8×difference-cubes
6×log-div log-pow add-cbrt-cube
4×flip3-+ associate-*r* associate-/r/ flip-+ add-log-exp
3×associate-+r+ rem-log-exp associate-*l*
2×associate-+r- flip3-- associate-*r/ flip-- div-inv
1×+-commutative distribute-rgt-in associate-+l- distribute-lft-in div-exp pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 281
Calls
4 calls:
37.0ms
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* x (+ 1.0 x)) (* 1.0 1.0))))
9.0ms
(* x (+ 1.0 x))
5.0ms
(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))
19.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

series407.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* x (+ 1.0 x)) (* 1.0 1.0))))
41.0ms
(* x (+ 1.0 x))
61.0ms
(log (+ (* x (+ 1.0 x)) (* 1.0 1.0)))
72.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

simplify891.0ms

Counts
293 → 293
Iterations

Useful iterations: done (877.0ms)

IterNodesCost
04097043
19036585
222106473
done50006472

prune619.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

regimes19.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01928
12628
done2628

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.6s3418×body1280valid
643.0ms2533×body640valid
249.0ms8246×body80nan
190.0ms1243×body320valid
57.0ms617×body160valid
8.0ms189×body80valid