Details

Time bar (total: 22.9s)

sample210.0ms

Algorithm
intervals
Results
93.0ms98×body1280valid
51.0ms98×body640valid
23.0ms321×body80nan
10.0ms33×body320valid
4.0ms21×body160valid
1.0ms6×body80valid

simplify215.0ms

Counts
1 → 1
Iterations
IterNodes
done102
8102
799
691
580
456
338
225
118
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.3b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite80.0ms

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:
51.0ms
(/ (+ 1.0 x) (- 1.0 x))
21.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series286.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (+ 1.0 x) (- 1.0 x))
228.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify3.2s

Counts
88 → 88
Iterations
IterNodes
done5000
32746
2838
1328
0142

prune638.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune22.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.3b
(log (+ 1.0 x))
5.3b
(log (- 1.0 x))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×log-prod
13×add-sqr-sqrt
9×pow1
8×log-div
7×add-cube-cbrt
6×log-pow distribute-lft-out--
5×add-exp-log associate--r+
4×associate--l+
3×flip3-- add-cbrt-cube flip-- add-log-exp difference-of-squares
2×associate--l- flip3-+ rem-log-exp flip-+ distribute-lft-out associate--r-
1×sub-neg diff-log
Counts
3 → 61
Calls
3 calls:
30.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
20.0ms
(log (+ 1.0 x))
10.0ms
(log (- 1.0 x))

series690.0ms

Counts
3 → 9
Calls
3 calls:
540.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
81.0ms
(log (+ 1.0 x))
69.0ms
(log (- 1.0 x))

simplify2.9s

Counts
70 → 70
Iterations
IterNodes
done5001
32375
2764
1305
0140

prune451.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (/ (pow x 5) (pow 1.0 5)) 2/5)
0.1b
(* (* (/ x 1.0) (/ x 1.0)) (* (/ x 1.0) 2/3))
0.4b
(* (/ x 1.0) 2/3)

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
100×add-exp-log
82×add-cbrt-cube
69×add-sqr-sqrt
68×times-frac
67×associate-*l*
49×prod-exp
48×unpow-prod-down
41×add-cube-cbrt *-un-lft-identity cbrt-unprod
27×div-exp
20×sqr-pow
19×pow1 cbrt-undiv
12×unswap-sqr
11×associate-*l/
10×pow-prod-down
7×associate-*r*
6×pow-to-exp pow-exp
5×frac-times
3×associate-*r/ *-commutative add-log-exp
2×div-inv
Counts
3 → 171
Calls
3 calls:
76.0ms
(* (/ (pow x 5) (pow 1.0 5)) 2/5)
121.0ms
(* (* (/ x 1.0) (/ x 1.0)) (* (/ x 1.0) 2/3))
28.0ms
(* (/ x 1.0) 2/3)

series323.0ms

Counts
3 → 9
Calls
3 calls:
206.0ms
(* (/ (pow x 5) (pow 1.0 5)) 2/5)
84.0ms
(* (* (/ x 1.0) (/ x 1.0)) (* (/ x 1.0) 2/3))
33.0ms
(* (/ x 1.0) 2/3)

simplify4.0s

Counts
180 → 180
Iterations
IterNodes
done5001
22506
1747
0276

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify15.0ms

Iterations
IterNodes
done26
126
019

end0.0ms

sample7.8s

Algorithm
intervals
Results
3.8s3399×body1280valid
1.5s2445×body640valid
723.0ms693×body160valid
709.0ms7921×body80nan
551.0ms1259×body320valid
24.0ms204×body80valid