Details

Time bar (total: 10.9s)

sample47.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
6.0ms246×pre80false
5.0ms256×pre80true

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0813
11813
24711
310011
431911
5155511
done500011

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
29.4b
(/ (* b b) (* a a))

rewrite22.0ms

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:
1.0ms
(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
20.0ms
(/ (* b b) (* a a))

series79.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(sqrt (fabs (- 1 (/ (* b b) (* a a)))))
49.0ms
(/ (* b b) (* a a))

simplify1.0s

Counts
40 → 40
Iterations

Useful iterations: done (1.0s)

IterNodesCost
065498
1192462
21613378
done5000370

prune73.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
0.4b
(* (/ b a) (/ b a))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×times-frac
31×add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
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 associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
Counts
2 → 80
Calls
2 calls:
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
30.0ms
(* (/ b a) (/ b a))

series67.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
39.0ms
(* (/ b a) (/ b a))

simplify2.3s

Counts
86 → 86
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01281079
1415969
22537872
done5000827

prune266.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (fabs (- 1 (* (/ b a) (/ b a))))))
0.0b
(* (sqrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (sqrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))
0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
130×add-sqr-sqrt
80×times-frac
76×sqrt-prod
74×add-cube-cbrt *-un-lft-identity
43×pow1
41×swap-sqr
36×sqrt-pow1
35×associate-*r* associate-*l*
30×add-exp-log add-cbrt-cube
18×pow1/2
17×unswap-sqr
11×pow-prod-up
9×prod-exp cbrt-unprod
8×cbrt-undiv div-exp div-inv
7×pow-prod-down pow-sqr
4×add-log-exp
3×pow2 pow-plus *-commutative
2×frac-times rem-sqrt-square associate-*r/ associate-*l/
1×sqrt-unprod rem-square-sqrt
Counts
4 → 228
Calls
4 calls:
5.0ms
(sqrt (sqrt (fabs (- 1 (* (/ b a) (/ b a))))))
47.0ms
(* (sqrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (sqrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))
44.0ms
(* (/ b a) (/ b a))
25.0ms
(* (/ b a) (/ b a))

series189.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(sqrt (sqrt (fabs (- 1 (* (/ b a) (/ b a))))))
40.0ms
(* (sqrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))) (sqrt (sqrt (fabs (- 1 (* (/ b a) (/ b a)))))))
31.0ms
(* (/ b a) (/ b a))
51.0ms
(* (/ b a) (/ b a))

simplify3.3s

Counts
240 → 240
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01834426
15363113
234282803
done50002671

prune846.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

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
0811
11011
done1011

end0.0ms

sample1.4s

Algorithm
intervals
Results
444.0ms8000×body80valid
156.0ms8175×pre80false
152.0ms8000×pre80true