Details

Time bar (total: 15.0s)

sample43.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
7.0ms256×pre80true

simplify1.7s

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

prune16.0ms

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)))))

rewrite30.0ms

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:
25.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series47.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (/ b a) (/ b a))
18.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify3.1s

Counts
86 → 86
Iterations
IterNodes
done5006
34051
21385
1403
0128

prune470.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 8.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (sqrt b))
0.2b
(* (/ b (/ a (sqrt b))) (/ (sqrt b) a))
0.3b
(/ (sqrt b) a)
8.3b
(sqrt (fabs (- 1 (* (/ b (/ a (sqrt b))) (/ (sqrt b) a)))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
197×times-frac
158×add-sqr-sqrt
110×*-un-lft-identity add-cube-cbrt
71×associate-*l*
70×sqrt-prod
29×add-cbrt-cube add-exp-log
22×associate-*r*
12×unswap-sqr
11×cbrt-undiv div-exp
9×associate-/r* associate-/l*
7×pow1 div-inv
6×prod-exp cbrt-unprod
4×add-log-exp
2×clear-num frac-2neg
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ associate-/r/ *-commutative
Counts
4 → 220
Calls
4 calls:
9.0ms
(/ a (sqrt b))
83.0ms
(* (/ b (/ a (sqrt b))) (/ (sqrt b) a))
10.0ms
(/ (sqrt b) a)
2.0ms
(sqrt (fabs (- 1 (* (/ b (/ a (sqrt b))) (/ (sqrt b) a)))))

series240.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ a (sqrt b))
48.0ms
(* (/ b (/ a (sqrt b))) (/ (sqrt b) a))
95.0ms
(/ (sqrt b) a)
19.0ms
(sqrt (fabs (- 1 (* (/ b (/ a (sqrt b))) (/ (sqrt b) a)))))

simplify2.5s

Counts
232 → 232
Iterations
IterNodes
done5001
24125
11057
0337

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 8.8b

localize33.0ms

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))))

rewrite57.0ms

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)))))))
6.0ms
(exp (* (/ b a) (/ b a)))
36.0ms
(* (/ b a) (/ b a))
6.0ms
(log (exp (* (/ b a) (/ b a))))

series147.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(sqrt (fabs (- 1 (log (exp (* (/ b a) (/ b a)))))))
28.0ms
(exp (* (/ b a) (/ b a)))
39.0ms
(* (/ b a) (/ b a))
55.0ms
(log (exp (* (/ b a) (/ b a))))

simplify2.8s

Counts
116 → 116
Iterations
IterNodes
done5017
34059
21337
1429
0149

prune605.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 8.4b

localize15.0ms

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

regimes99.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample1.0s

Algorithm
intervals
Results
537.0ms8000×body80valid
257.0ms8000×pre80true