Details

Time bar (total: 9.4s)

sample35.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
4.0ms256×pre80true
3.0ms240×pre80false

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0813
11913
24811
310311
433011
5162211
done500111

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
30.8b
(/ (* b b) (* a a))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
4×add-sqr-sqrt cbrt-undiv div-exp prod-exp cbrt-unprod
3×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 times-frac pow1/2 div-inv associate-/l*
Counts
2 → 38
Calls
2 calls:
1.0ms
(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
15.0ms
(/ (* b b) (* a a))

series52.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
35.0ms
(/ (* b b) (* a a))

simplify792.0ms

Counts
44 → 44
Iterations

Useful iterations: 2 (211.0ms)

IterNodesCost
069538
1193502
21685410
done5001410

prune224.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
0.4b
(* (/ b a) (/ b a))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×times-frac
31×*-un-lft-identity add-cube-cbrt
14×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
10×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
3×sqrt-prod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
2 → 84
Calls
2 calls:
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
21.0ms
(* (/ b a) (/ b a))

series58.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
30.0ms
(* (/ b a) (/ b a))

simplify1.8s

Counts
90 → 90
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01321119
14161009
22807912
done5002867

prune392.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
0.4b
(* (/ b a) (/ b a))
5.8b
(log (exp (* (/ b a) (/ b a))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×times-frac
33×*-un-lft-identity add-cube-cbrt
15×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
12×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
3×expm1-log1p-u log-prod log-pow sqrt-prod log1p-expm1-u
1×pow2 frac-times rem-sqrt-square exp-prod sqrt-pow1 pow-plus exp-to-pow pow1/2 rem-log-exp pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
3 → 100
Calls
3 calls:
1.0ms
(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
18.0ms
(* (/ b a) (/ b a))
4.0ms
(log (exp (* (/ b a) (/ b a))))

series112.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
44.0ms
(* (/ b a) (/ b a))
41.0ms
(log (exp (* (/ b a) (/ b a))))

simplify2.3s

Counts
109 → 109
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01511376
14401187
229171072
done50011023

prune532.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes75.0ms

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
01013
11213
done1213

end0.0ms

sample1.4s

Algorithm
intervals
Results
461.0ms8000×body80valid
209.0ms7853×pre80false
197.0ms8000×pre80true