Details

Time bar (total: 20.5s)

sample53.0ms

Algorithm
intervals
Results
27.0ms432×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 7 (765.0ms)

IterNodesCost
01115
12215
25515
310015
418115
533015
671515
7155513
8452913
done500013

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (/ (- (* z z) (* x x)) y))
0.7b
(- (* z z) (* x x))
11.2b
(/ (- (* z z) (* x x)) y)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
14×*-un-lft-identity
13×times-frac
12×add-cube-cbrt
7×add-log-exp difference-of-squares
5×add-exp-log add-cbrt-cube
4×associate-/l*
3×pow1 flip3-- associate-/r* flip--
2×sub-neg diff-log div-sub associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv distribute-lft-out-- associate--r-
Counts
3 → 63
Calls
3 calls:
36.0ms
(- y (/ (- (* z z) (* x x)) y))
13.0ms
(- (* z z) (* x x))
20.0ms
(/ (- (* z z) (* x x)) y)

series171.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- y (/ (- (* z z) (* x x)) y))
50.0ms
(- (* z z) (* x x))
70.0ms
(/ (- (* z z) (* x x)) y)

simplify2.0s

Counts
72 → 72
Iterations

Useful iterations: 3 (751.0ms)

IterNodesCost
01151074
12811017
2806945
33327939
done5000939

prune239.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- z x))
0.0b
(- y (/ (+ z x) (/ y (- z x))))
0.2b
(/ (+ z x) (/ y (- z x)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
177×times-frac
164×*-un-lft-identity
127×add-sqr-sqrt
80×add-cube-cbrt
26×associate-/r*
22×distribute-lft-out difference-of-squares
20×distribute-lft-out--
13×associate-/r/
10×add-exp-log add-cbrt-cube
7×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num associate-/l/
1×sub-neg flip3-+ diff-log flip-+
Counts
3 → 179
Calls
3 calls:
13.0ms
(/ y (- z x))
62.0ms
(- y (/ (+ z x) (/ y (- z x))))
35.0ms
(/ (+ z x) (/ y (- z x)))

series161.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ y (- z x))
47.0ms
(- y (/ (+ z x) (/ y (- z x))))
67.0ms
(/ (+ z x) (/ y (- z x)))

simplify2.1s

Counts
188 → 188
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02543223
15663010
220592910
done50012883

prune643.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* (+ z x) (/ (- z x) y)))
0.0b
(/ (- z x) y)
0.3b
(* (+ z x) (/ (- z x) y))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
4×associate-*l*
3×associate-/r*
2×cbrt-undiv frac-times flip3-- flip3-+ div-exp associate-*l/ prod-exp flip-- cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out
Counts
3 → 93
Calls
3 calls:
9.0ms
(- y (* (+ z x) (/ (- z x) y)))
29.0ms
(/ (- z x) y)
70.0ms
(* (+ z x) (/ (- z x) y))

series161.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- y (* (+ z x) (/ (- z x) y)))
33.0ms
(/ (- z x) y)
78.0ms
(* (+ z x) (/ (- z x) y))

simplify1.3s

Counts
102 → 102
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01501274
13751191
214941111
done50021108

prune342.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.3s

Counts
4 → 12
Calls
4 calls:
383.0ms
(* (cbrt y) (cbrt y))
306.0ms
(cbrt y)
284.0ms
(cbrt y)
317.0ms
(cbrt y)

simplify5.0s

Counts
85 → 85
Iterations

Useful iterations: done (5.0s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune257.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11113
done1113

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.6s13729×body80valid