Details

Time bar (total: 17.2s)

sample142.0ms

Algorithm
intervals
Results
29.0ms816×body80nan
13.0ms256×body80valid

simplify57.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
187
297
done97

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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:
12.0ms
(log (- (/ 1.0 x) 1.0))
28.0ms
(- (/ 1.0 x) 1.0)

series227.0ms

Counts
2 → 6
Calls
2 calls:
130.0ms
(log (- (/ 1.0 x) 1.0))
97.0ms
(- (/ 1.0 x) 1.0)

simplify2.4s

Counts
38 → 38
Iterations

Useful iterations: done (2.4s)

IterNodesCost
082433
1163422
2353383
3849379
42450373
done5001369

prune124.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (sqrt (/ 1.0 x)) (sqrt 1.0))
0.1b
(sqrt (/ 1.0 x))
0.1b
(sqrt (/ 1.0 x))
0.5b
(* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0)))

rewrite273.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
46×sqrt-prod
32×*-un-lft-identity
24×times-frac
20×add-cube-cbrt
12×difference-of-squares
11×associate-*r*
8×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*l*
4×frac-times rem-sqrt-square flip3-- flip-- distribute-lft-out--
3×sub-neg flip3-+ flip-+
2×distribute-rgt-in distribute-lft-in sqrt-pow1 pow1/2 sqrt-div associate-*r/ associate-*l/ div-inv distribute-lft-out
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 110
Calls
4 calls:
53.0ms
(- (sqrt (/ 1.0 x)) (sqrt 1.0))
10.0ms
(sqrt (/ 1.0 x))
7.0ms
(sqrt (/ 1.0 x))
194.0ms
(* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0)))

series604.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- (sqrt (/ 1.0 x)) (sqrt 1.0))
89.0ms
(sqrt (/ 1.0 x))
88.0ms
(sqrt (/ 1.0 x))
330.0ms
(* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0)))

simplify1.4s

Counts
122 → 122
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01901915
14571534
215471421
done50011393

prune536.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 x) 1.0)
0.3b
(+ (* 2 (log (cbrt (- (/ 1.0 x) 1.0)))) (log (cbrt (- (/ 1.0 x) 1.0))))
0.5b
(cbrt (- (/ 1.0 x) 1.0))
0.5b
(cbrt (- (/ 1.0 x) 1.0))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
30×cbrt-prod
27×log-prod
25×*-un-lft-identity
18×associate-+l+
12×add-cube-cbrt difference-of-squares
9×distribute-rgt-in associate-+r+ distribute-lft-in
7×add-log-exp
6×cbrt-div times-frac distribute-lft-out--
5×pow1
4×add-exp-log flip3-- add-cbrt-cube flip--
2×associate-+r- log-div distribute-rgt-out pow1/3
1×+-commutative sub-neg distribute-lft1-in flip3-+ diff-log sum-log log-pow flip-+
Counts
4 → 90
Calls
4 calls:
25.0ms
(- (/ 1.0 x) 1.0)
76.0ms
(+ (* 2 (log (cbrt (- (/ 1.0 x) 1.0)))) (log (cbrt (- (/ 1.0 x) 1.0))))
30.0ms
(cbrt (- (/ 1.0 x) 1.0))
22.0ms
(cbrt (- (/ 1.0 x) 1.0))

series830.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (/ 1.0 x) 1.0)
353.0ms
(+ (* 2 (log (cbrt (- (/ 1.0 x) 1.0)))) (log (cbrt (- (/ 1.0 x) 1.0))))
223.0ms
(cbrt (- (/ 1.0 x) 1.0))
204.0ms
(cbrt (- (/ 1.0 x) 1.0))

simplify2.7s

Counts
102 → 102
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01931756
14381572
210621424
332121348
done50001277

prune561.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (/ 1.0 x) 1.0))
0.5b
(cbrt (- (/ 1.0 x) 1.0))
0.5b
(cbrt (* (pow (cbrt (- (/ 1.0 x) 1.0)) 2) (cbrt (- (/ 1.0 x) 1.0))))
0.5b
(pow (cbrt (- (/ 1.0 x) 1.0)) 2)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×cbrt-prod
15×*-un-lft-identity
9×add-cube-cbrt unpow-prod-down
8×cbrt-div
6×difference-of-squares
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow flip3-- times-frac flip-- distribute-lft-out--
2×pow-pow associate-*r/ unpow2
1×pow-to-exp pow3 pow-exp rem-cbrt-cube sqr-pow
Counts
4 → 69
Calls
4 calls:
11.0ms
(cbrt (- (/ 1.0 x) 1.0))
12.0ms
(cbrt (- (/ 1.0 x) 1.0))
57.0ms
(cbrt (* (pow (cbrt (- (/ 1.0 x) 1.0)) 2) (cbrt (- (/ 1.0 x) 1.0))))
29.0ms
(pow (cbrt (- (/ 1.0 x) 1.0)) 2)

series1.0s

Counts
4 → 12
Calls
4 calls:
217.0ms
(cbrt (- (/ 1.0 x) 1.0))
233.0ms
(cbrt (- (/ 1.0 x) 1.0))
224.0ms
(cbrt (* (pow (cbrt (- (/ 1.0 x) 1.0)) 2) (cbrt (- (/ 1.0 x) 1.0))))
343.0ms
(pow (cbrt (- (/ 1.0 x) 1.0)) 2)

simplify2.6s

Counts
81 → 81
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01801516
14411312
211321197
339201106
done50001070

prune439.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11217
done1217

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.7s23585×body80nan
400.0ms8000×body80valid