Details

Time bar (total: 25.9s)

sample236.0ms

Algorithm
intervals
Results
141.0ms111×body1280valid
56.0ms80×body640valid
11.0ms32×body320valid
5.0ms256×pre80true
4.0ms24×body160valid
1.0ms9×body80valid

simplify25.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
7.2b
(log (- 1.0 x))
7.2b
(log (+ 1.0 x))

rewrite58.0ms

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×add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 69
Calls
3 calls:
34.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
10.0ms
(log (- 1.0 x))
10.0ms
(log (+ 1.0 x))

series332.0ms

Counts
3 → 9
Calls
3 calls:
185.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
47.0ms
(log (- 1.0 x))
100.0ms
(log (+ 1.0 x))

simplify786.0ms

Counts
78 → 78

prune302.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 58.2b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ (pow x 2) (pow 1.0 2)) 2)
0.0b
(/ (log (- 1.0 x)) (- (log 1.0) (- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))))
7.2b
(log (- 1.0 x))

rewrite911.0ms

Algorithm
rewrite-expression-head
Rules
484×times-frac
234×*-un-lft-identity
229×add-sqr-sqrt
217×add-cube-cbrt
192×unpow-prod-down
72×associate-/l*
64×unpow2 sqr-pow
29×add-exp-log
20×div-exp
16×pow1
13×log-pow
11×distribute-lft-out--
10×add-cbrt-cube
9×associate-/r*
6×pow-to-exp pow-exp div-inv difference-of-squares
5×log-prod
4×cbrt-undiv log-div
3×flip3-- flip-- add-log-exp
2×frac-2neg div-sub clear-num associate-/r/
1×rem-log-exp associate-/l/
Counts
3 → 364
Calls
3 calls:
44.0ms
(/ (/ (pow x 2) (pow 1.0 2)) 2)
800.0ms
(/ (log (- 1.0 x)) (- (log 1.0) (- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))))
9.0ms
(log (- 1.0 x))

series356.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ (/ (pow x 2) (pow 1.0 2)) 2)
193.0ms
(/ (log (- 1.0 x)) (- (log 1.0) (- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))))
75.0ms
(log (- 1.0 x))

simplify778.0ms

Counts
373 → 373

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
651×times-frac
405×add-sqr-sqrt
317×*-un-lft-identity
264×unpow-prod-down
258×add-cube-cbrt
130×add-exp-log
104×unpow2 sqr-pow
76×div-exp
74×associate-/l*
68×associate-*r*
51×unswap-sqr
40×prod-exp
30×pow-to-exp pow-exp
28×distribute-lft-out--
22×add-cbrt-cube
19×pow1
14×log-pow difference-of-squares
13×associate-*l*
10×rec-exp 1-exp
9×associate-/r*
8×cbrt-undiv div-inv
4×cbrt-unprod
3×associate-/l/ add-log-exp
2×flip3-- frac-2neg clear-num associate-/r/ flip--
1×frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 551
Calls
3 calls:
61.0ms
(* (/ 1 2) (/ (pow x 2) (pow 1.0 2)))
40.0ms
(/ (/ (pow x 2) (pow 1.0 2)) 2)
870.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* (/ 1 2) (/ (pow x 2) (pow 1.0 2))))) (- (log 1.0) (- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))))

series305.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(* (/ 1 2) (/ (pow x 2) (pow 1.0 2)))
70.0ms
(/ (/ (pow x 2) (pow 1.0 2)) 2)
163.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* (/ 1 2) (/ (pow x 2) (pow 1.0 2))))) (- (log 1.0) (- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))))

simplify1.1s

Counts
560 → 560

prune2.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.5s

Algorithm
rewrite-expression-head
Rules
921×times-frac
597×add-sqr-sqrt
557×*-un-lft-identity
354×add-cube-cbrt
264×unpow-prod-down
142×add-exp-log
124×distribute-lft-out--
104×unpow2 sqr-pow
83×div-exp
77×associate-/l*
69×pow1
68×associate-*r*
62×log-pow difference-of-squares
51×associate-/r* unswap-sqr
40×prod-exp
30×pow-to-exp pow-exp
28×add-cbrt-cube
13×associate-*l* div-inv
12×rec-exp 1-exp
11×cbrt-undiv associate-/r/
6×flip3-- flip--
4×cbrt-unprod add-log-exp
3×frac-2neg clear-num associate-/l/
1×frac-times pow-flip div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 743
Calls
4 calls:
106.0ms
(* (/ 1 2) (/ (pow x 2) (pow 1.0 2)))
66.0ms
(/ (/ (pow x 2) (pow 1.0 2)) 2)
938.0ms
(/ 1 (/ (- (log 1.0) (- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))) (- (log 1.0) (+ (* 1.0 x) (* (/ 1 2) (/ (pow x 2) (pow 1.0 2)))))))
1.3s
(/ (- (log 1.0) (- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))) (- (log 1.0) (+ (* 1.0 x) (* (/ 1 2) (/ (pow x 2) (pow 1.0 2))))))

series509.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (/ 1 2) (/ (pow x 2) (pow 1.0 2)))
80.0ms
(/ (/ (pow x 2) (pow 1.0 2)) 2)
169.0ms
(/ 1 (/ (- (log 1.0) (- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))) (- (log 1.0) (+ (* 1.0 x) (* (/ 1 2) (/ (pow x 2) (pow 1.0 2)))))))
159.0ms
(/ (- (log 1.0) (- (/ (/ (pow x 2) (pow 1.0 2)) 2) (* 1.0 x))) (- (log 1.0) (+ (* 1.0 x) (* (/ 1 2) (/ (pow x 2) (pow 1.0 2))))))

simplify1.5s

Counts
755 → 755

prune2.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

8% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.1s

end0.0ms

sample6.5s

Algorithm
intervals
Results
4.2s3323×body1280valid
1.5s2545×body640valid
341.0ms1258×body320valid
131.0ms8000×pre80true
102.0ms645×body160valid
16.0ms229×body80valid