Details

Time bar (total: 3.7s)

sample24.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms256×pre80true
2.0ms235×pre80false

simplify51.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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))

rewrite34.0ms

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))

series102.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- (* a a) (* b b))
19.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
50.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify30.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0241458
11037405
25001401
done5001401

prune160.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite89.0ms

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))))
19.0ms
(/ (+ a b) a)
16.0ms
(/ (- a b) a)
48.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series130.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
22.0ms
(/ (+ a b) a)
33.0ms
(/ (- a b) a)
58.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify63.0ms

Counts
163 → 163
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0505990
12546909
25001905
done5001905

prune347.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)))

rewrite138.0ms

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)
10.0ms
(/ a (- a b))
76.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
17.0ms
(/ 1 (/ a (- a b)))

series162.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (+ a b) a)
46.0ms
(/ a (- a b))
63.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
31.0ms
(/ 1 (/ a (- a b)))

simplify45.0ms

Counts
325 → 325
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010492388
150012111
done50012111

prune882.0ms

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
45×add-sqr-sqrt
40×times-frac
32×add-cube-cbrt
16×associate-*l*
13×add-exp-log add-cbrt-cube
9×associate-/l*
7×distribute-lft-out
6×pow1 associate-/r*
4×expm1-log1p-u log1p-expm1-u associate-/l/ distribute-lft-out-- add-log-exp difference-of-squares
3×cbrt-undiv div-exp associate-*r* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×expm1-log1p flip3-- flip3-+ div-sub pow-prod-down associate-*l/ *-commutative flip-- flip-+ expm1-udef
Counts
4 → 123
Calls
4 calls:
17.0ms
(/ (+ a b) a)
18.0ms
(/ (- a b) a)
26.0ms
(* (/ (+ a b) a) (expm1 (log1p (/ (- a b) a))))
0.0ms
(expm1 (log1p (/ (- a b) a)))

series300.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (+ a b) a)
29.0ms
(/ (- a b) a)
154.0ms
(* (/ (+ a b) a) (expm1 (log1p (/ (- a b) a))))
95.0ms
(expm1 (log1p (/ (- a b) a)))

simplify45.0ms

Counts
135 → 135
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0386747
11583661
25001652
done5001652

prune342.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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

sample625.0ms

Algorithm
intervals
Results
180.0ms8000×body80valid
81.0ms7987×pre80false
77.0ms8000×pre80true