Details

Time bar (total: 6.4s)

sample48.0ms

Algorithm
intervals
Results
13.0ms283×body160nan
12.0ms578×body80nan
7.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1109
2119
done119

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(log (+ x (sqrt (- (* x x) 1.0))))
29.1b
(sqrt (- (* x x) 1.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cube-cbrt log-prod sqrt-prod
3×add-exp-log
2×log-div sqrt-div add-cbrt-cube add-log-exp
1×rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 rem-log-exp log-pow flip-- flip-+ distribute-lft-out difference-of-squares
Counts
2 → 31
Calls
2 calls:
9.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
5.0ms
(sqrt (- (* x x) 1.0))

series250.0ms

Counts
2 → 6
Calls
2 calls:
195.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
54.0ms
(sqrt (- (* x x) 1.0))

simplify1.7s

Counts
37 → 37
Iterations

Useful iterations: 3 (580.0ms)

IterNodesCost
0125556
1268503
2805456
34026446
done5001446

prune89.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ 0.25 x) x)
0.2b
(- (log 2) (- (+ (/ 0.09375 (pow x 4)) (/ (/ 0.25 x) x)) (log x)))
0.3b
(/ 0.09375 (pow x 4))

rewrite637.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
85×*-un-lft-identity
64×add-sqr-sqrt
62×add-cube-cbrt
18×distribute-lft-out--
16×associate-/l*
13×add-exp-log
12×pow1 unpow-prod-down
10×associate-/r* add-cbrt-cube
9×log-pow
7×add-log-exp
6×div-exp div-inv
5×diff-log
4×cbrt-undiv associate--l+ distribute-lft-out sqr-pow
3×log-prod associate--r+
2×sub-neg frac-2neg clear-num
1×pow-to-exp flip3-- pow-exp sum-log flip-- associate-/l/ associate--r- difference-of-squares
Counts
3 → 147
Calls
3 calls:
6.0ms
(/ (/ 0.25 x) x)
622.0ms
(- (log 2) (- (+ (/ 0.09375 (pow x 4)) (/ (/ 0.25 x) x)) (log x)))
4.0ms
(/ 0.09375 (pow x 4))

series156.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (/ 0.25 x) x)
94.0ms
(- (log 2) (- (+ (/ 0.09375 (pow x 4)) (/ (/ 0.25 x) x)) (log x)))
38.0ms
(/ 0.09375 (pow x 4))

simplify771.0ms

Counts
156 → 156
Iterations

Useful iterations: 2 (295.0ms)

IterNodesCost
02782135
15942024
219041850
done50001850

prune366.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b
(log (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))))
0.7b
(/ 0.125 (pow x 3))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
36×times-frac
28×add-sqr-sqrt add-cube-cbrt
12×unpow-prod-down cube-prod associate-/r*
8×add-exp-log
6×log-prod
4×cube-mult unpow3 add-cbrt-cube sqr-pow
3×pow1 div-exp distribute-lft-out associate-/l* distribute-lft-out--
2×log-div add-log-exp
1×cbrt-undiv pow-to-exp frac-2neg flip3-+ rem-log-exp pow-exp clear-num log-pow flip-+ div-inv
Counts
2 → 82
Calls
2 calls:
197.0ms
(log (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))))
4.0ms
(/ 0.125 (pow x 3))

series187.0ms

Counts
2 → 6
Calls
2 calls:
152.0ms
(log (+ x (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x))))
35.0ms
(/ 0.125 (pow x 3))

simplify472.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (130.0ms)

IterNodesCost
01641209
13261046
21287980
done5000980

prune157.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01417
11517
done1517

end0.0ms

sample1.3s

Algorithm
intervals
Results
368.0ms7682×body160nan
333.0ms16083×body80nan
231.0ms8000×body80valid