Details

Time bar (total: 10.6s)

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
5.0ms256×pre80true

simplify1.6s

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ b a) (/ b a))
8.3b
(sqrt (fabs (- 1 (* (/ 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×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:
21.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series57.0ms

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

simplify2.0s

Counts
86 → 86
Iterations
IterNodes
done5001
22815
1412
0128

prune449.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 8.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (sqrt b) a) (/ b a))
0.3b
(/ (sqrt b) a)
1.9b
(* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a)))
8.3b
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a))))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
73×add-sqr-sqrt
70×times-frac
59×add-cbrt-cube
53×*-un-lft-identity add-cube-cbrt
44×associate-*l*
35×sqrt-prod
31×prod-exp
27×div-exp
22×cbrt-unprod
18×cbrt-undiv
14×associate-*r*
12×pow1
6×frac-times associate-*r/ associate-/l* unswap-sqr
5×1-exp
4×pow-prod-down associate-*l/ div-inv add-log-exp
3×associate-/r*
2×*-commutative
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
Counts
4 → 178
Calls
4 calls:
31.0ms
(* (/ (sqrt b) a) (/ b a))
10.0ms
(/ (sqrt b) a)
53.0ms
(* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a)))
1.0ms
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a))))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* (/ (sqrt b) a) (/ b a))
93.0ms
(/ (sqrt b) a)
62.0ms
(* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a)))
27.0ms
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a))))))

simplify719.0ms

Counts
190 → 190
Iterations
IterNodes
done5001
1887
0280

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 8.8b

localize20.0ms

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))
3.0b
(log (exp (* (/ b a) (/ b a))))

rewrite51.0ms

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:
2.0ms
(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
5.0ms
(exp (* (/ b a) (/ b a)))
35.0ms
(* (/ b a) (/ b a))
6.0ms
(log (exp (* (/ b a) (/ b a))))

series114.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
29.0ms
(exp (* (/ b a) (/ b a)))
36.0ms
(* (/ b a) (/ b a))
32.0ms
(log (exp (* (/ b a) (/ b a))))

simplify2.5s

Counts
116 → 116
Iterations
IterNodes
done5001
22733
1440
0149

prune615.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 8.4b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune1.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 8.4b

regimes98.0ms

Accuracy

0% (0.3b remaining)

Error of 7.9b against oracle of 7.6b and baseline of 7.9b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample838.0ms

Algorithm
intervals
Results
473.0ms8000×body80valid
186.0ms8000×pre80true