Details

Time bar (total: 11.5s)

sample25.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
3.0ms256×pre80true
3.0ms244×pre80false

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0813
11813
24711
39811
418711
533211
649811
7140811
done500111

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
0.0b
(- (* a a) (* b b))
13.7b
(/ (- (* a a) (* b b)) (* a a))

rewrite36.0ms

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:
1.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
8.0ms
(- (* a a) (* b b))
25.0ms
(/ (- (* a a) (* b b)) (* a a))

series106.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
36.0ms
(- (* a a) (* b b))
50.0ms
(/ (- (* a a) (* b b)) (* a a))

simplify1.8s

Counts
61 → 61
Iterations

Useful iterations: 3 (818.0ms)

IterNodesCost
090893
1218771
2639676
33171668
done5000668

prune148.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

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:
20.0ms
(/ (+ a b) a)
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
15.0ms
(/ (- a b) a)
52.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series136.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (+ a b) a)
18.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
34.0ms
(/ (- a b) a)
62.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify1.0s

Counts
155 → 155
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01841937
14791843
217341679
done50001678

prune341.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (* (/ (+ a b) a) (/ 1 (/ a (- a b))))))
0.0b
(/ a (- a b))
0.0b
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
0.1b
(/ 1 (/ a (- a b)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
275×times-frac
214×add-sqr-sqrt
190×*-un-lft-identity
130×add-cube-cbrt
68×associate-*r*
62×add-exp-log
32×add-cbrt-cube
29×div-exp
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
18×associate-/r/
16×associate-*l*
14×prod-exp
13×cbrt-undiv
11×div-inv
10×unswap-sqr
8×pow1 flip3-- flip--
6×rec-exp 1-exp cbrt-unprod associate-/l*
4×add-log-exp
3×sqrt-prod distribute-lft-out
2×frac-2neg clear-num
1×frac-times rem-sqrt-square pow-flip sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
4 → 285
Calls
4 calls:
1.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ 1 (/ a (- a b))))))
11.0ms
(/ a (- a b))
83.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
18.0ms
(/ 1 (/ a (- a b)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (fabs (* (/ (+ a b) a) (/ 1 (/ a (- a b))))))
50.0ms
(/ a (- a b))
66.0ms
(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
32.0ms
(/ 1 (/ a (- a b)))

simplify1.3s

Counts
297 → 297
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03544735
19533895
224493461
done50023321

prune558.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
110×add-sqr-sqrt
98×*-un-lft-identity
92×times-frac
58×add-cube-cbrt
38×associate-*r*
32×add-exp-log associate-*l* add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
10×cbrt-undiv div-exp associate-/l*
8×pow1 prod-exp cbrt-unprod unswap-sqr
6×associate-/r* div-inv distribute-lft-out
4×associate-/l/ add-log-exp
2×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 194
Calls
4 calls:
15.0ms
(/ (- a b) a)
17.0ms
(/ (- a b) a)
50.0ms
(* (/ (+ a b) a) (/ (- a b) a))
48.0ms
(* (/ (+ a b) a) (/ (- a b) a))

series198.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (- a b) a)
37.0ms
(/ (- a b) a)
61.0ms
(* (/ (+ a b) a) (/ (- a b) a))
68.0ms
(* (/ (+ a b) a) (/ (- a b) a))

simplify1.0s

Counts
206 → 206
Iterations

Useful iterations: 2 (254.0ms)

IterNodesCost
01452668
14092570
215782304
done50002304

prune677.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11515
done1515

end0.0ms

sample698.0ms

Algorithm
intervals
Results
186.0ms8000×body80valid
89.0ms8000×pre80true
87.0ms8088×pre80false