Details

Time bar (total: 3.8s)

sample28.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
5.0ms235×pre80false
3.0ms256×pre80true

simplify48.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1477
21067
32657
414957
550017
done50017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* a a) (* b b))
0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
13.6b
(/ (- (* a a) (* b b)) (* a a))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×pow1 times-frac associate-/l*
3×sqrt-prod difference-of-squares
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
3 → 52
Calls
3 calls:
8.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
21.0ms
(/ (- (* a a) (* b b)) (* a a))

series102.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- (* a a) (* b b))
19.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
52.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify163.0ms

Counts
61 → 61
Iterations

Useful iterations: 3 (158.0ms)

IterNodesCost
0228417
1970368
24781367
35001366
done5001366

prune135.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
0.0b
(/ (+ a b) a)
0.0b
(/ (- a b) a)
0.0b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
68×add-sqr-sqrt
58×times-frac
41×add-cube-cbrt
20×add-exp-log add-cbrt-cube
19×associate-*r*
16×associate-*l*
9×associate-/l*
7×pow1 distribute-lft-out distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp associate-/r*
4×prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
3×sqrt-prod
2×frac-2neg clear-num
1×frac-times rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+
Counts
4 → 143
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
19.0ms
(/ (+ a b) a)
15.0ms
(/ (- a b) a)
50.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series132.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
22.0ms
(/ (+ a b) a)
34.0ms
(/ (- a b) a)
59.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify63.0ms

Counts
155 → 155
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0493952
12505870
25001867
done5001867

prune313.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ a b) a)
0.0b
(/ a (- a b))
0.0b
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
0.0b
(/ 1 (/ a (- a b)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
287×times-frac
221×add-sqr-sqrt
206×*-un-lft-identity
138×add-cube-cbrt
68×associate-*r*
64×add-exp-log
34×add-cbrt-cube
30×div-exp
29×associate-/r*
25×distribute-lft-out-- difference-of-squares
18×associate-/r/
16×associate-*l*
14×cbrt-undiv prod-exp
12×div-inv
10×associate-/l* unswap-sqr
8×flip3-- flip--
7×pow1 distribute-lft-out
6×rec-exp 1-exp cbrt-unprod
4×add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×frac-times pow-flip flip3-+ associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 305
Calls
4 calls:
17.0ms
(/ (+ a b) a)
11.0ms
(/ a (- a b))
83.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
18.0ms
(/ 1 (/ a (- a b)))

series157.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (+ a b) a)
45.0ms
(/ a (- a b))
59.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
30.0ms
(/ 1 (/ a (- a b)))

simplify49.0ms

Counts
317 → 317
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010362354
150022076
done50022076

prune632.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (/ a (+ a b)))
0.0b
(/ a (+ a b))
0.0b
(/ (- a b) a)
0.0b
(* (/ 1 (/ a (+ a b))) (/ (- a b) a))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
251×times-frac
194×*-un-lft-identity
173×add-sqr-sqrt
126×add-cube-cbrt
64×add-exp-log
59×associate-*l*
34×add-cbrt-cube
30×div-exp
25×associate-/r* distribute-lft-out
19×associate-*r*
18×associate-/r/
14×cbrt-undiv prod-exp
12×div-inv
11×associate-/l*
10×unswap-sqr
8×flip3-+ flip-+
7×pow1 distribute-lft-out-- difference-of-squares
6×rec-exp 1-exp cbrt-unprod
4×add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×frac-times flip3-- pow-flip div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- inv-pow
Counts
4 → 287
Calls
4 calls:
17.0ms
(/ 1 (/ a (+ a b)))
13.0ms
(/ a (+ a b))
15.0ms
(/ (- a b) a)
81.0ms
(* (/ 1 (/ a (+ a b))) (/ (- a b) a))

series156.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ 1 (/ a (+ a b)))
41.0ms
(/ a (+ a b))
30.0ms
(/ (- a b) a)
63.0ms
(* (/ 1 (/ a (+ a b))) (/ (- a b) a))

simplify44.0ms

Counts
299 → 299
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09582115
150011843
done50011843

prune590.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158
done158

end0.0ms

sample672.0ms

Algorithm
intervals
Results
189.0ms8000×body80valid
88.0ms8000×pre80true
87.0ms7987×pre80false