Details

Time bar (total: 38.5s)

sample329.0ms

Algorithm
intervals
Results
205.0ms116×body1280valid
66.0ms78×body640valid
19.0ms42×body320valid
8.0ms256×pre80true
5.0ms16×body160valid
0.0ms4×body80valid

simplify41.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.5b

localize88.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.4b
(log (- 1.0 x))
4.7b
(log (+ 1.0 x))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
9×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×insert-posit16 add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 72
Calls
3 calls:
69.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
19.0ms
(log (- 1.0 x))
18.0ms
(log (+ 1.0 x))

series363.0ms

Counts
3 → 9
Calls
3 calls:
218.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
70.0ms
(log (- 1.0 x))
75.0ms
(log (+ 1.0 x))

simplify8.6s

Counts
81 → 81
Iterations
IterNodes
done5000
34858
21329
1435
0188

prune697.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.3b

localize142.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
0.0b
(/ (log (- 1.0 x)) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
4.4b
(log (- 1.0 x))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
23×add-cbrt-cube
17×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×pow1
12×times-frac
9×prod-exp cbrt-unprod
5×cbrt-undiv log-prod div-exp log-pow
4×log-div associate-*l/ associate-/l*
3×associate-/r* associate-*r* pow-prod-down insert-posit16 add-log-exp
2×flip3-- div-sub associate-/r/ flip--
1×frac-times clear-num frac-2neg flip3-+ rem-log-exp associate-*l* associate-*r/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 82
Calls
3 calls:
115.0ms
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
99.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
16.0ms
(log (- 1.0 x))

series370.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
242.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
88.0ms
(log (- 1.0 x))

simplify4.8s

Counts
91 → 91
Iterations
IterNodes
done5001
22231
1598
0241

prune764.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize187.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
0.0b
(/ (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))

rewrite399.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
23×add-sqr-sqrt
22×add-cbrt-cube add-exp-log
18×times-frac
14×add-cube-cbrt
11×pow1
9×prod-exp cbrt-unprod
8×distribute-lft-out--
6×associate-/l*
5×cbrt-undiv div-exp
4×associate-*l/ log-pow difference-of-squares
3×associate-/r* associate-*r* pow-prod-down
2×associate-/r/ insert-posit16 add-log-exp associate-/l/
1×frac-times clear-num frac-2neg flip3-+ flip3-- div-sub associate-*l* associate-*r/ *-commutative flip-+ div-inv flip-- unswap-sqr
Counts
2 → 74
Calls
2 calls:
128.0ms
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
258.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))

series219.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* (* (/ x 1.0) (/ x 1.0)) 1/2)
178.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))

simplify4.5s

Counts
80 → 80
Iterations
IterNodes
done5019
21784
1462
0166

prune750.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize292.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))))
0.6b
(cbrt (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
0.6b
(cbrt (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
0.6b
(cbrt (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
11×*-un-lft-identity
10×add-sqr-sqrt
8×cbrt-div add-cube-cbrt
5×pow1
4×add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
3×flip3-+ flip-+
2×distribute-lft-out--
1×flip3-- log-pow flip-- difference-of-squares
Counts
4 → 59
Calls
4 calls:
51.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))))
52.0ms
(cbrt (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
51.0ms
(cbrt (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
27.0ms
(cbrt (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))

series1.5s

Counts
4 → 12
Calls
4 calls:
372.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* (* 1/2 (/ x 1.0)) (/ x 1.0)))))
366.0ms
(cbrt (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
338.0ms
(cbrt (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))
402.0ms
(cbrt (+ (* 1.0 x) (- (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) 1/2))))

simplify4.1s

Counts
71 → 71
Iterations
IterNodes
done5000
21285
1400
0156

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes154.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify25.0ms

Iterations
IterNodes
done28
128
021

end0.0ms

sample8.6s

Algorithm
intervals
Results
4.9s3350×body1280valid
2.4s2526×body640valid
563.0ms1273×body320valid
281.0ms8000×pre80true
142.0ms613×body160valid
24.0ms238×body80valid