Details

Time bar (total: 14.5s)

sample23.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
4.0ms256×pre80true

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5216
62493
5808
4236
388
244
119
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ b a) (/ b a))
8.3b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite41.0ms

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:
34.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series64.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* (/ b a) (/ b a))
28.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify2.8s

Counts
90 → 90
Iterations
IterNodes
done5010
33860
21311
1405
0132

prune436.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 8.8b

localize45.0ms

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))))))

rewrite91.0ms

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×expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u div-inv add-log-exp
3×associate-/r*
2×*-commutative
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
Counts
4 → 186
Calls
4 calls:
26.0ms
(* (/ (sqrt b) a) (/ b a))
5.0ms
(/ (sqrt b) a)
50.0ms
(* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a)))
2.0ms
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a))))))

series270.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (/ (sqrt b) a) (/ b a))
83.0ms
(/ (sqrt b) a)
65.0ms
(* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a)))
19.0ms
(sqrt (fabs (- 1 (* (/ (sqrt b) 1) (* (/ (sqrt b) a) (/ b a))))))

simplify2.3s

Counts
198 → 198
Iterations
IterNodes
done5002
22498
1845
0288

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 8.8b

localize16.0ms

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))))

rewrite55.0ms

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×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 112
Calls
4 calls:
2.0ms
(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
5.0ms
(exp (* (/ b a) (/ b a)))
38.0ms
(* (/ b a) (/ b a))
3.0ms
(log (exp (* (/ b a) (/ b a))))

series149.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
24.0ms
(exp (* (/ b a) (/ b a)))
48.0ms
(* (/ b a) (/ b a))
49.0ms
(log (exp (* (/ b a) (/ b a))))

simplify3.0s

Counts
124 → 124
Iterations
IterNodes
done5051
34027
21351
1439
0157

prune693.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 8.4b

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

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 8.4b

regimes92.0ms

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

end1.0ms

sample1.2s

Algorithm
intervals
Results
820.0ms8000×body80valid
205.0ms8000×pre80true