Details

Time bar (total: 16.2s)

sample192.0ms

Algorithm
intervals
Results
104.0ms122×body1280valid
33.0ms70×body640valid
17.0ms278×body80nan
10.0ms37×body320valid
4.0ms20×body160valid
1.0ms7×body80valid

simplify169.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09273
118273
225273
338273
456273
580273
691273
799273
8102273
done102273

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.1b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite35.0ms

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×add-cbrt-cube associate-/r/ associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp div-inv flip-- add-log-exp associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-+ log-pow flip-+
Counts
2 → 82
Calls
2 calls:
23.0ms
(/ (+ 1.0 x) (- 1.0 x))
8.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series224.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (+ 1.0 x) (- 1.0 x))
180.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.6s

Counts
88 → 88
Iterations

Useful iterations: 3 (952.0ms)

IterNodesCost
014230501
133027326
285926804
3287626525
done500026525

prune389.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune12.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 x) (- 1.0 x))
0.0b
(/ (- (* 1.0 1.0) (* x x)) (* (- 1.0 x) (- 1.0 x)))
4.1b
(log (/ (- (* 1.0 1.0) (* x x)) (* (- 1.0 x) (- 1.0 x))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
21×add-sqr-sqrt
19×flip3-- flip--
16×log-prod add-exp-log associate-/r/
12×frac-times
11×pow1 add-cube-cbrt
10×add-cbrt-cube
8×times-frac
7×swap-sqr difference-of-squares
6×associate-*l/ associate-*r/ distribute-lft-out--
5×associate-*r* associate-*l*
4×div-exp associate-/l*
3×rem-log-exp prod-exp add-log-exp
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in cbrt-unprod div-inv associate-/l/
1×pow2 log-div clear-num associate-/r* frac-2neg pow-plus div-sub pow-prod-down pow-sqr log-pow *-commutative pow-prod-up unswap-sqr
Counts
3 → 107
Calls
3 calls:
51.0ms
(* (- 1.0 x) (- 1.0 x))
25.0ms
(/ (- (* 1.0 1.0) (* x x)) (* (- 1.0 x) (- 1.0 x)))
21.0ms
(log (/ (- (* 1.0 1.0) (* x x)) (* (- 1.0 x) (- 1.0 x))))

series241.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* (- 1.0 x) (- 1.0 x))
50.0ms
(/ (- (* 1.0 1.0) (* x x)) (* (- 1.0 x) (- 1.0 x)))
173.0ms
(log (/ (- (* 1.0 1.0) (* x x)) (* (- 1.0 x) (- 1.0 x))))

simplify2.2s

Counts
116 → 116
Iterations

Useful iterations: done (2.2s)

IterNodesCost
017740456
152331965
2196026662
done500926619

prune584.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log (- (* 1.0 1.0) (* x x))) (log (* (- 1.0 x) (- 1.0 x))))
0.0b
(* (- 1.0 x) (- 1.0 x))
3.3b
(log (- (* 1.0 1.0) (* x x)))
4.1b
(log (* (- 1.0 x) (- 1.0 x)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 *-un-lft-identity
22×add-sqr-sqrt
21×flip3-- flip--
20×log-div
14×log-pow
12×frac-times distribute-lft-out--
10×log-prod add-exp-log add-cube-cbrt
8×associate--r-
7×swap-sqr difference-of-squares
6×add-cbrt-cube associate-*l/ associate-*r/
5×associate-*r* associate-*l*
4×pow-prod-down associate--l+ add-log-exp
3×sub-neg rem-log-exp
2×associate--l- pow2 distribute-rgt-in distribute-lft-in pow-plus prod-exp pow-sqr pow-prod-up
1×diff-log *-commutative cbrt-unprod associate--r+ unswap-sqr
Counts
4 → 118
Calls
4 calls:
59.0ms
(- (log (- (* 1.0 1.0) (* x x))) (log (* (- 1.0 x) (- 1.0 x))))
38.0ms
(* (- 1.0 x) (- 1.0 x))
7.0ms
(log (- (* 1.0 1.0) (* x x)))
27.0ms
(log (* (- 1.0 x) (- 1.0 x)))

series663.0ms

Counts
4 → 12
Calls
4 calls:
310.0ms
(- (log (- (* 1.0 1.0) (* x x))) (log (* (- 1.0 x) (- 1.0 x))))
31.0ms
(* (- 1.0 x) (- 1.0 x))
213.0ms
(log (- (* 1.0 1.0) (* x x)))
108.0ms
(log (* (- 1.0 x) (- 1.0 x)))

simplify2.2s

Counts
130 → 130
Iterations

Useful iterations: done (2.2s)

IterNodesCost
020948510
154038198
2159537254
done500134965

prune509.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes55.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
020644
129644
done29644

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.8s3459×body1280valid
1.1s2465×body640valid
1.0s8008×body80nan
422.0ms1224×body320valid
99.0ms634×body160valid
16.0ms218×body80valid