Details

Time bar (total: 13.2s)

sample38.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
5.0ms256×pre80true

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5004
62324
5753
4228
385
243
118
08

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ b a) (/ b a))
7.4b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite32.0ms

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×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 → 80
Calls
2 calls:
27.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series73.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (/ b a) (/ b a))
19.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.6s

Counts
86 → 86
Iterations
IterNodes
done5006
34051
21385
1403
0128

prune655.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 7.8b

localize21.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ b a) b)
7.4b
(sqrt (fabs (- 1 (/ (* (/ b a) b) a))))
7.5b
(/ (* (/ b a) b) a)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×add-cbrt-cube add-exp-log
14×*-un-lft-identity add-cube-cbrt
13×times-frac associate-*l*
6×pow1
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod
3×associate-/r* associate-*r* sqrt-prod add-log-exp
2×associate-*l/ div-inv unswap-sqr
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 pow-prod-down *-commutative associate-/l* associate-/l/
Counts
3 → 69
Calls
3 calls:
12.0ms
(* (/ b a) b)
1.0ms
(sqrt (fabs (- 1 (/ (* (/ b a) b) a))))
11.0ms
(/ (* (/ b a) b) a)

series68.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* (/ b a) b)
16.0ms
(sqrt (fabs (- 1 (/ (* (/ b a) b) a))))
31.0ms
(/ (* (/ b a) b) a)

simplify3.1s

Counts
78 → 78
Iterations
IterNodes
done5000
34960
2872
1263
0108

prune337.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 7.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
0.0b
(exp (* (/ b a) (/ b a)))
0.4b
(* (/ b a) (/ b a))
3.2b
(log (exp (* (/ b a) (/ b a))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
40×times-frac
34×*-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
13×pow1 swap-sqr associate-*r* associate-*l*
7×add-log-exp
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
3×log-prod log-pow sqrt-prod
2×exp-prod exp-to-pow
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 rem-log-exp pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up rem-exp-log
Counts
4 → 104
Calls
4 calls:
1.0ms
(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
3.0ms
(exp (* (/ b a) (/ b a)))
21.0ms
(* (/ b a) (/ b a))
6.0ms
(log (exp (* (/ b a) (/ b a))))

series126.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
32.0ms
(exp (* (/ b a) (/ b a)))
43.0ms
(* (/ b a) (/ b a))
34.0ms
(log (exp (* (/ b a) (/ b a))))

simplify2.7s

Counts
116 → 116
Iterations
IterNodes
done5017
34059
21337
1429
0149

prune666.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 7.5b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune2.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 7.5b

regimes113.0ms

Accuracy

0% (0.3b remaining)

Error of 8.3b against oracle of 7.9b and baseline of 8.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample812.0ms

Algorithm
intervals
Results
465.0ms8000×body80valid
176.0ms8000×pre80true