Details

Time bar (total: 15.4s)

sample20.0ms

Algorithm
intervals
Results
11.0ms527×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 4 (13.0ms)

IterNodesCost
067
1117
2257
3457
4846
51806
65216
717316
done50016

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
4×exp-prod add-log-exp
3×add-sqr-sqrt
2×add-cube-cbrt *-un-lft-identity exp-sum rem-exp-log
1×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))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(exp (- (* x x) 1.0))

simplify4.1s

Counts
19 → 19
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
038151
172147
2176134
3676130
44565130
done5000130

prune40.0ms

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
8×exp-prod add-log-exp
6×add-sqr-sqrt
4×add-cube-cbrt *-un-lft-identity exp-sum rem-exp-log
2×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))
9.0ms
(exp (- (* x x) 1.0))

series50.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(exp (- (* x x) 1.0))
26.0ms
(exp (- (* x x) 1.0))

simplify3.9s

Counts
38 → 38
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
038302
172294
2176268
3676260
44565260
done5000260

prune92.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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
8×add-sqr-sqrt pow-pow sqrt-prod
7×pow-unpow exp-prod
6×add-cube-cbrt *-un-lft-identity
3×unpow-prod-down
2×pow1 difference-of-squares
1×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)))

series207.0ms

Counts
1 → 3
Calls
1 calls:
207.0ms
(pow (exp (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0)))

simplify1.1s

Counts
31 → 31
Iterations

Useful iterations: 3 (194.0ms)

IterNodesCost
067552
1135474
2340386
31387382
done5000382

prune67.0ms

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)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
14×pow-unpow
11×pow1 pow-pow
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity sqrt-prod
7×unpow-prod-down pow1/3
6×add-exp-log
3×cbrt-prod pow-exp
2×pow-to-exp pow-prod-down pow-sqr pow-prod-up add-cbrt-cube add-log-exp difference-of-squares sqr-pow
1×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)))

series954.0ms

Counts
2 → 6
Calls
2 calls:
351.0ms
(pow (cbrt (exp (sqrt (- (* x x) 1.0)))) (sqrt (- (* x x) 1.0)))
602.0ms
(pow (* (cbrt (exp (sqrt (- (* x x) 1.0)))) (cbrt (exp (sqrt (- (* x x) 1.0))))) (sqrt (- (* x x) 1.0)))

simplify456.0ms

Counts
59 → 59
Iterations

Useful iterations: done (453.0ms)

IterNodesCost
01451552
13401399
211311185
done50011181

prune177.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

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

sample517.0ms

Algorithm
intervals
Results
341.0ms15963×body80valid