Details

Time bar (total: 12.4s)

sample38.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
6.0ms256×pre80true

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5001
51622
4330
3103
248
119
08

prune16.0ms

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)))))

rewrite44.0ms

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:
36.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series75.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (/ b a) (/ b a))
27.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.0s

Counts
90 → 90
Iterations
IterNodes
done5000
22764
1416
0132

prune423.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 7.8b

localize30.0ms

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)))))

rewrite57.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 164
Calls
4 calls:
24.0ms
(* (/ b a) (/ b a))
24.0ms
(* (/ b a) (/ b a))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

series259.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (/ b a) (/ b a))
46.0ms
(* (/ b a) (/ b a))
99.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
71.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.3s

Counts
176 → 176
Iterations
IterNodes
done5000
22562
1416
0131

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 7.8b

localize61.0ms

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)))))

rewrite49.0ms

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×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 114
Calls
4 calls:
36.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series92.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (/ b a) (/ b a))
23.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
16.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
19.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.0s

Counts
126 → 126
Iterations
IterNodes
done5000
22764
1416
0132

prune915.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 7.8b

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample1.1s

Algorithm
intervals
Results
626.0ms8000×body80valid
217.0ms8000×pre80true