Details

Time bar (total: 18.9s)

sample156.0ms

Algorithm
intervals
Results
35.0ms714×body80nan
16.0ms256×body80valid

simplify69.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
187
297
done97

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
7×*-un-lft-identity
6×log-prod
4×add-log-exp difference-of-squares
3×pow1 add-exp-log add-cube-cbrt
2×log-div flip3-- times-frac add-cbrt-cube flip-- distribute-lft-out--
1×sub-neg diff-log rem-log-exp log-pow
Counts
2 → 32
Calls
2 calls:
20.0ms
(- (/ 1.0 x) 1.0)
15.0ms
(log (- (/ 1.0 x) 1.0))

series161.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (/ 1.0 x) 1.0)
114.0ms
(log (- (/ 1.0 x) 1.0))

simplify2.3s

Counts
38 → 38
Iterations

Useful iterations: done (2.3s)

IterNodesCost
082433
1163422
2353383
3850379
42455373
done5000369

prune112.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (* (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)) (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
0.2b
(/ (sqrt 1.0) (sqrt x))
0.2b
(/ (sqrt 1.0) (sqrt x))
0.5b
(* (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)) (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))

rewrite584.0ms

Algorithm
rewrite-expression-head
Rules
97×sqrt-prod
92×add-sqr-sqrt
80×times-frac
66×*-un-lft-identity
62×add-cube-cbrt
14×associate-*r*
13×add-exp-log
12×associate-/r* associate-/l*
10×add-cbrt-cube difference-of-squares
9×pow1
8×frac-times log-div
6×flip3-- flip3-+ flip-- flip-+
4×associate-*r/ associate-*l* associate-*l/ add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg sqrt-undiv frac-2neg distribute-lft-in div-exp rem-log-exp pow-prod-down prod-exp clear-num log-pow div-inv
1×log-prod *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- unswap-sqr
Counts
4 → 184
Calls
4 calls:
95.0ms
(log (* (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)) (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
9.0ms
(/ (sqrt 1.0) (sqrt x))
9.0ms
(/ (sqrt 1.0) (sqrt x))
460.0ms
(* (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)) (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
536.0ms
(log (* (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)) (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
90.0ms
(/ (sqrt 1.0) (sqrt x))
112.0ms
(/ (sqrt 1.0) (sqrt x))
348.0ms
(* (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)) (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))

simplify1.3s

Counts
196 → 196
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02373481
15412739
217372432
done50002406

prune671.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1.0 x) 1.0)
0.0b
(- (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0))) (log (+ (/ 1.0 x) 1.0)))
0.1b
(/ (/ 1.0 x) x)
34.5b
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))

rewrite538.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
56×*-un-lft-identity
49×add-sqr-sqrt
47×add-cube-cbrt
16×pow1
13×associate-/l*
12×add-exp-log
9×log-pow add-cbrt-cube
6×log-div log-prod distribute-lft-out-- add-log-exp
5×div-inv
4×associate-*r/ associate--r+
3×cbrt-undiv flip3-- div-exp pow-prod-down associate-/r* flip--
2×associate--l- flip3-+ rem-log-exp flip-+ distribute-lft-out associate--r-
1×+-commutative sub-neg frac-2neg diff-log prod-exp associate--l+ clear-num sum-log associate-/l/ difference-of-squares
Counts
4 → 124
Calls
4 calls:
31.0ms
(+ (/ 1.0 x) 1.0)
404.0ms
(- (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0))) (log (+ (/ 1.0 x) 1.0)))
32.0ms
(/ (/ 1.0 x) x)
65.0ms
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))

series491.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (/ 1.0 x) 1.0)
170.0ms
(- (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0))) (log (+ (/ 1.0 x) 1.0)))
40.0ms
(/ (/ 1.0 x) x)
225.0ms
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))

simplify3.3s

Counts
136 → 136
Iterations

Useful iterations: done (3.3s)

IterNodesCost
02581980
15901874
213881745
343351696
done50011686

prune500.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0))) (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0))))
34.5b
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))
34.5b
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))
34.5b
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))

rewrite501.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
22×log-pow
15×add-exp-log
12×*-un-lft-identity pow-prod-down
11×swap-sqr
10×add-sqr-sqrt
8×add-cube-cbrt
6×log-div associate-*r/ rem-log-exp add-cbrt-cube
5×log-prod associate-*r* associate-*l*
4×prod-exp add-log-exp
3×flip3-- flip--
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 81
Calls
4 calls:
377.0ms
(* (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0))) (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0))))
35.0ms
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))
36.0ms
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))
50.0ms
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))

series926.0ms

Counts
4 → 12
Calls
4 calls:
328.0ms
(* (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0))) (log (* 1.0 (- (/ (/ 1.0 x) x) 1.0))))
220.0ms
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))
177.0ms
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))
201.0ms
(log (* 1.0 (- (/ (/ 1.0 x) x) 1.0)))

simplify3.0s

Counts
93 → 93
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01171929
12921792
28981553
335931357
done50011347

prune363.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01019
11219
done1219

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.3s24392×body80nan
491.0ms8000×body80valid