Details

Time bar (total: 26.7s)

sample40.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms284×pre80false
4.0ms256×pre80true

simplify5.3s

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0813
11913
24811
310111
419811
537611
661811
7165311
done500111

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
29.5b
(/ (* b b) (* a a))

rewrite30.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 38
Calls
2 calls:
1.0ms
(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
27.0ms
(/ (* b b) (* a a))

series67.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
35.0ms
(/ (* b b) (* a a))

simplify9.9s

Counts
44 → 44
Iterations

Useful iterations: 4 (8.6s)

IterNodesCost
069538
1148502
2492410
31862395
44721385
done5000385

prune125.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (- 1 (/ b (* a (/ a b))))))
0.2b
(/ b (* a (/ a b)))
0.2b
(* a (/ a b))

rewrite31.0ms

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×expm1-log1p-u associate-*l* sqrt-prod log1p-expm1-u associate-/l* 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 associate-/r* associate-/r/ *-commutative
Counts
3 → 75
Calls
3 calls:
1.0ms
(sqrt (fabs (- 1 (/ b (* a (/ a b))))))
11.0ms
(/ b (* a (/ a b)))
16.0ms
(* a (/ a b))

series90.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(sqrt (fabs (- 1 (/ b (* a (/ a b))))))
29.0ms
(/ b (* a (/ a b)))
36.0ms
(* a (/ a b))

simplify4.3s

Counts
84 → 84
Iterations

Useful iterations: done (4.3s)

IterNodesCost
0119842
1261791
2710688
32229678
done5000654

prune279.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- 1 (log (exp (/ b (* a (/ a b))))))))
0.2b
(/ b (* a (/ a b)))
0.2b
(* a (/ a b))
4.9b
(log (exp (/ b (* a (/ a b)))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
16×times-frac
13×associate-*r*
9×log-pow
8×pow1 exp-prod
5×cbrt-undiv div-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×log-prod associate-*r/ associate-*l* sqrt-prod div-inv associate-/l*
2×associate-/r/ unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 rem-log-exp pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 97
Calls
4 calls:
2.0ms
(sqrt (fabs (- 1 (log (exp (/ b (* a (/ a b))))))))
12.0ms
(/ b (* a (/ a b)))
34.0ms
(* a (/ a b))
18.0ms
(log (exp (/ b (* a (/ a b)))))

series106.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(sqrt (fabs (- 1 (log (exp (/ b (* a (/ a b))))))))
35.0ms
(/ b (* a (/ a b)))
20.0ms
(* a (/ a b))
29.0ms
(log (exp (/ b (* a (/ a b)))))

simplify4.6s

Counts
109 → 109
Iterations

Useful iterations: done (4.6s)

IterNodesCost
01521151
12981019
2750894
32295872
done5000842

prune386.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes37.0ms

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: 0 (0.0ms)

IterNodesCost
0911
11211
done1211

end0.0ms

sample1.3s

Algorithm
intervals
Results
429.0ms8000×body80valid
146.0ms8081×pre80false
145.0ms8000×pre80true