Details

Time bar (total: 3.6s)

sample25.0ms

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

simplify51.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0197
1487
21107
32847
415807
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))

rewrite35.0ms

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×expm1-log1p-u sqrt-prod log1p-expm1-u difference-of-squares
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
3 → 60
Calls
3 calls:
11.0ms
(- (* a a) (* b b))
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
21.0ms
(/ (- (* a a) (* b b)) (* a a))

series107.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (* a a) (* b b))
20.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
51.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify31.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0241458
11037405
25001401
done5001401

prune161.0ms

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))

rewrite93.0ms

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×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u 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 → 151
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
18.0ms
(/ (+ a b) a)
16.0ms
(/ (- a b) a)
50.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series139.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
23.0ms
(/ (+ a b) a)
36.0ms
(/ (- a b) a)
61.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify63.0ms

Counts
163 → 163
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0505991
12546909
25001905
done5001905

prune344.0ms

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)))

rewrite145.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 313
Calls
4 calls:
19.0ms
(/ (+ a b) a)
11.0ms
(/ a (- a b))
77.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
20.0ms
(/ 1 (/ a (- a b)))

series169.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (+ a b) a)
44.0ms
(/ a (- a b))
66.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
32.0ms
(/ 1 (/ a (- a b)))

simplify48.0ms

Counts
325 → 325
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010492388
150012111
done50012111

prune686.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ a b) a)
0.0b
(/ (- a b) a)
0.0b
(expm1 (log1p (* (/ (+ a b) a) (/ (- a b) a))))
0.0b
(* (/ (+ a b) a) (/ (- a b) a))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
66×add-sqr-sqrt
58×times-frac
40×add-cube-cbrt
20×add-exp-log add-cbrt-cube
19×associate-*r*
16×associate-*l*
9×associate-/l*
7×distribute-lft-out distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv div-exp associate-/r*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
2×frac-2neg clear-num
1×frac-times expm1-log1p flip3-- flip3-+ div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+ expm1-udef
Counts
4 → 147
Calls
4 calls:
17.0ms
(/ (+ a b) a)
16.0ms
(/ (- a b) a)
0.0ms
(expm1 (log1p (* (/ (+ a b) a) (/ (- a b) a))))
50.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series247.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (+ a b) a)
36.0ms
(/ (- a b) a)
125.0ms
(expm1 (log1p (* (/ (+ a b) a) (/ (- a b) a))))
63.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify64.0ms

Counts
159 → 159
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0511929
12554843
25001840
done5001840

prune402.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes28.0ms

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
0169
1169
done169

end0.0ms

sample667.0ms

Algorithm
intervals
Results
179.0ms8000×body80valid
91.0ms8000×pre80true
87.0ms7987×pre80false