Details

Time bar (total: 11.6s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms256×pre80true

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done5000
51561
4319
3100
247
118
08

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:
31.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series77.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* (/ b a) (/ b a))
32.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.1s

Counts
86 → 86
Iterations
IterNodes
done5001
22815
1412
0128

prune414.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 7.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))
7.6b
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
7.6b
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
80×times-frac
62×*-un-lft-identity add-cube-cbrt
28×add-cbrt-cube add-exp-log
26×swap-sqr associate-*r* associate-*l*
18×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
6×cbrt-prod
4×add-log-exp
2×pow2 frac-times pow-plus pow1/3 pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 156
Calls
4 calls:
23.0ms
(* (/ b a) (/ b a))
18.0ms
(* (/ b a) (/ b a))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

series277.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (/ b a) (/ b a))
31.0ms
(* (/ b a) (/ b a))
101.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
105.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.0s

Counts
168 → 168
Iterations
IterNodes
done5001
22839
1417
0127

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 7.8b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
40×times-frac
35×*-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log
14×pow1
13×swap-sqr associate-*r* associate-*l*
9×sqrt-prod
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
3×rem-sqrt-square sqrt-pow1 pow1/2
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 106
Calls
4 calls:
23.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series116.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (/ b a) (/ b a))
29.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
28.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
21.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.3s

Counts
118 → 118
Iterations
IterNodes
done5001
22815
1412
0128

prune748.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 7.8b

regimes123.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample872.0ms

Algorithm
intervals
Results
490.0ms8000×body80valid
190.0ms8000×pre80true