Details

Time bar (total: 12.3s)

sample21.0ms

Algorithm
intervals
Results
12.0ms527×body80valid

simplify4.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (12.0ms)

IterNodesCost
067
1117
2257
3437
4736
51446
64186
714156
846636
done50006

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(exp (- (* x x) 1.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
exp-prod add-log-exp
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity exp-sum rem-exp-log
pow1 add-exp-log sub-neg exp-diff diff-log add-cbrt-cube difference-of-squares
Counts
1 → 16
Calls
1 calls:
9.0ms
(exp (- (* x x) 1.0))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(exp (- (* x x) 1.0))

simplify2.0s

Counts
19 → 19
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
038151
172147
2165134
3529130
42485130
done5001130

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (- (* x x) 1.0))
0.0b
(exp (- (* x x) 1.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
exp-prod add-log-exp
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity exp-sum rem-exp-log
pow1 add-exp-log sub-neg exp-diff diff-log add-cbrt-cube difference-of-squares
Counts
2 → 32
Calls
2 calls:
9.0ms
(exp (- (* x x) 1.0))
10.0ms
(exp (- (* x x) 1.0))

series49.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(exp (- (* x x) 1.0))
24.0ms
(exp (- (* x x) 1.0))

simplify1.8s

Counts
38 → 38
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
038302
172294
2165268
3529260
42485260
done5001260

prune86.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(pow (exp (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt pow-pow sqrt-prod
pow-unpow exp-prod
add-cube-cbrt *-un-lft-identity
unpow-prod-down
pow1 difference-of-squares
add-exp-log pow-to-exp pow-exp add-cbrt-cube add-log-exp sqr-pow
Counts
1 → 28
Calls
1 calls:
15.0ms
(pow (exp (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0)))

series192.0ms

Counts
1 → 3
Calls
1 calls:
192.0ms
(pow (exp (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0)))

simplify1.5s

Counts
31 → 31
Iterations

Useful iterations: 4 (708.0ms)

IterNodesCost
067552
1135474
2306386
3837382
43243350
done5000350

prune65.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(pow (cbrt (exp (sqrt (- (* x x) 1.0)))) (sqrt (- (* x x) 1.0)))
0.0b
(pow (* (cbrt (exp (sqrt (- (* x x) 1.0)))) (cbrt (exp (sqrt (- (* x x) 1.0))))) (sqrt (- (* x x) 1.0)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×pow-unpow
11×pow1 pow-pow
10×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity sqrt-prod
unpow-prod-down pow1/3
add-exp-log
cbrt-prod pow-exp
pow-to-exp pow-prod-down pow-sqr pow-prod-up add-cbrt-cube add-log-exp difference-of-squares sqr-pow
pow2 pow-plus prod-exp
Counts
2 → 53
Calls
2 calls:
8.0ms
(pow (cbrt (exp (sqrt (- (* x x) 1.0)))) (sqrt (- (* x x) 1.0)))
10.0ms
(pow (* (cbrt (exp (sqrt (- (* x x) 1.0)))) (cbrt (exp (sqrt (- (* x x) 1.0))))) (sqrt (- (* x x) 1.0)))

series912.0ms

Counts
2 → 6
Calls
2 calls:
340.0ms
(pow (cbrt (exp (sqrt (- (* x x) 1.0)))) (sqrt (- (* x x) 1.0)))
571.0ms
(pow (* (cbrt (exp (sqrt (- (* x x) 1.0)))) (cbrt (exp (sqrt (- (* x x) 1.0))))) (sqrt (- (* x x) 1.0)))

simplify431.0ms

Counts
59 → 59
Iterations

Useful iterations: done (426.0ms)

IterNodesCost
01451552
13401399
210161185
done50001177

prune188.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
done715

end0.0ms

sample551.0ms

Algorithm
intervals
Results
358.0ms15963×body80valid