Details

Time bar (total: 10.8s)

sample55.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
6.0ms256×pre80true
6.0ms232×pre80false

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done5000
51561
4319
3100
247
118
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (/ (- a (/ (* b b) a)) a)))
0.0b
(/ (- a (/ (* b b) a)) a)
14.9b
(/ (* b b) a)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
25×*-un-lft-identity times-frac
17×add-cube-cbrt
10×add-cbrt-cube add-exp-log
8×difference-of-squares
7×associate-/l*
6×associate-/r*
4×pow1 distribute-lft-out--
3×cbrt-undiv div-exp sqrt-prod add-log-exp
2×clear-num frac-2neg div-inv associate-/l/
1×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 div-sub prod-exp cbrt-unprod flip--
Counts
3 → 76
Calls
3 calls:
2.0ms
(sqrt (fabs (/ (- a (/ (* b b) a)) a)))
27.0ms
(/ (- a (/ (* b b) a)) a)
8.0ms
(/ (* b b) a)

series123.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(sqrt (fabs (/ (- a (/ (* b b) a)) a)))
68.0ms
(/ (- a (/ (* b b) a)) a)
37.0ms
(/ (* b b) a)

simplify1.5s

Counts
85 → 85
Iterations
IterNodes
done5000
22048
1330
0132

prune357.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a (* (/ b (sqrt a)) (/ b (sqrt a)))) a)
0.2b
(/ b (sqrt a))
0.2b
(/ b (sqrt a))
0.3b
(* (/ b (sqrt a)) (/ b (sqrt a)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
145×add-sqr-sqrt
144×times-frac
99×*-un-lft-identity add-cube-cbrt
72×sqrt-prod
28×swap-sqr
22×add-cbrt-cube associate-*r* associate-*l* add-exp-log
15×associate-/r*
11×pow1
10×associate-/l*
9×unswap-sqr
7×cbrt-undiv div-exp div-inv
4×prod-exp cbrt-unprod add-log-exp difference-of-squares
3×clear-num frac-2neg
2×associate-/l/
1×pow2 frac-times pow-plus flip3-- div-sub pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up flip--
Counts
4 → 217
Calls
4 calls:
23.0ms
(/ (- a (* (/ b (sqrt a)) (/ b (sqrt a)))) a)
10.0ms
(/ b (sqrt a))
9.0ms
(/ b (sqrt a))
42.0ms
(* (/ b (sqrt a)) (/ b (sqrt a)))

series261.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ (- a (* (/ b (sqrt a)) (/ b (sqrt a)))) a)
70.0ms
(/ b (sqrt a))
71.0ms
(/ b (sqrt a))
55.0ms
(* (/ b (sqrt a)) (/ b (sqrt a)))

simplify525.0ms

Counts
229 → 229
Iterations
IterNodes
done5000
1801
0251

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ b (sqrt a))
0.3b
(* (/ b (sqrt a)) (/ b (sqrt a)))
0.3b
(* (/ b (sqrt a)) (/ b (sqrt a)))
0.5b
(/ a (sqrt (- a (* (/ b (sqrt a)) (/ b (sqrt a))))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
235×add-sqr-sqrt
231×times-frac
147×*-un-lft-identity add-cube-cbrt
124×sqrt-prod
56×swap-sqr
44×associate-*r* associate-*l*
32×add-cbrt-cube add-exp-log
18×pow1 unswap-sqr
13×associate-/r*
10×cbrt-undiv div-exp div-inv
8×prod-exp cbrt-unprod
6×associate-/l*
4×add-log-exp difference-of-squares
2×pow2 frac-times clear-num frac-2neg pow-plus sqrt-div pow-prod-down associate-*l/ associate-*r/ associate-/r/ pow-sqr *-commutative pow-prod-up
1×flip3-- flip--
Counts
4 → 294
Calls
4 calls:
8.0ms
(/ b (sqrt a))
39.0ms
(* (/ b (sqrt a)) (/ b (sqrt a)))
44.0ms
(* (/ b (sqrt a)) (/ b (sqrt a)))
11.0ms
(/ a (sqrt (- a (* (/ b (sqrt a)) (/ b (sqrt a))))))

series318.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(/ b (sqrt a))
55.0ms
(* (/ b (sqrt a)) (/ b (sqrt a)))
45.0ms
(* (/ b (sqrt a)) (/ b (sqrt a)))
145.0ms
(/ a (sqrt (- a (* (/ b (sqrt a)) (/ b (sqrt a))))))

simplify2.2s

Counts
306 → 306
Iterations
IterNodes
done5001
24844
1773
0266

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
09

end0.0ms

sample1.3s

Algorithm
intervals
Results
413.0ms8000×body80valid
178.0ms8000×pre80true
172.0ms7840×pre80false