Details

Time bar (total: 29.9s)

sample48.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
7.0ms282×pre80false
6.0ms256×pre80true

simplify4.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0813
11813
24711
39811
418711
533211
649811
7140811
done500111

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
34.6b
(/ (* b b) (* a a))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv add-sqr-sqrt div-exp prod-exp cbrt-unprod
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-log-exp
1×rem-sqrt-square frac-2neg sqrt-pow1 times-frac pow1/2 clear-num associate-/r* div-inv associate-/l*
Counts
2 → 34
Calls
2 calls:
2.0ms
(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
30.0ms
(/ (* b b) (* a a))

series77.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
50.0ms
(/ (* b b) (* a a))

simplify10.0s

Counts
40 → 40
Iterations

Useful iterations: 4 (8.6s)

IterNodesCost
065498
1145462
2488370
31836355
44570345
done5001345

prune112.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (- 1 (/ (* b (/ b a)) a))))
0.1b
(* b (/ b a))
15.5b
(/ (* b (/ b a)) a)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity
13×times-frac associate-*r*
6×pow1
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod
3×associate-*l* associate-/r* sqrt-prod add-log-exp
2×associate-*r/ div-inv unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
3 → 69
Calls
3 calls:
1.0ms
(sqrt (fabs (- 1 (/ (* b (/ b a)) a))))
20.0ms
(* b (/ b a))
14.0ms
(/ (* b (/ b a)) a)

series81.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(sqrt (fabs (- 1 (/ (* b (/ b a)) a))))
26.0ms
(* b (/ b a))
36.0ms
(/ (* b (/ b a)) a)

simplify3.8s

Counts
78 → 78
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0113789
1258734
2747623
32567599
done5000599

prune262.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (- 1 (/ (* b (/ b a)) a))))
0.1b
(* b (/ b a))
15.5b
(/ (* b (/ b a)) a)

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity
13×times-frac associate-*r*
6×pow1
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod
3×associate-*l* associate-/r* sqrt-prod add-log-exp
2×associate-*r/ div-inv unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
3 → 69
Calls
3 calls:
2.0ms
(sqrt (fabs (- 1 (/ (* b (/ b a)) a))))
24.0ms
(* b (/ b a))
19.0ms
(/ (* b (/ b a)) a)

series121.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(sqrt (fabs (- 1 (/ (* b (/ b a)) a))))
43.0ms
(* b (/ b a))
48.0ms
(/ (* b (/ b a)) a)

simplify3.6s

Counts
78 → 78
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0113789
1258734
2747623
32567599
done5000599

prune263.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* b (/ b a))
0.1b
(* b (/ b a))
15.5b
(/ (* b (/ b a)) a)
15.5b
(/ (* b (/ b a)) a)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
32×add-exp-log add-cbrt-cube
26×times-frac associate-*r*
24×add-cube-cbrt *-un-lft-identity
10×cbrt-undiv div-exp
8×pow1 prod-exp cbrt-unprod
6×associate-*l* associate-/r*
4×associate-*r/ div-inv add-log-exp unswap-sqr
2×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
4 → 112
Calls
4 calls:
15.0ms
(* b (/ b a))
20.0ms
(* b (/ b a))
31.0ms
(/ (* b (/ b a)) a)
14.0ms
(/ (* b (/ b a)) a)

series135.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* b (/ b a))
24.0ms
(* b (/ b a))
34.0ms
(/ (* b (/ b a)) a)
41.0ms
(/ (* b (/ b a)) a)

simplify4.6s

Counts
124 → 124
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
0941120
12321066
2731862
32549814
done5000814

prune596.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01013
11411
done1411

end0.0ms

sample1.3s

Algorithm
intervals
Results
385.0ms8000×body80valid
251.0ms7938×pre80false
206.0ms8000×pre80true