Details

Time bar (total: 21.1s)

sample74.0ms

Algorithm
intervals
Results
43.0ms425×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 7 (833.0ms)

IterNodesCost
01115
12215
25515
310015
418115
533015
671515
7155513
8452913
done500013

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (/ (- (* z z) (* x x)) y))
0.7b
(- (* z z) (* x x))
11.1b
(/ (- (* z z) (* x x)) y)

rewrite76.0ms

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:
28.0ms
(- y (/ (- (* z z) (* x x)) y))
9.0ms
(- (* z z) (* x x))
37.0ms
(/ (- (* z z) (* x x)) y)

series156.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(- y (/ (- (* z z) (* x x)) y))
35.0ms
(- (* z z) (* x x))
69.0ms
(/ (- (* z z) (* x x)) y)

simplify2.0s

Counts
72 → 72
Iterations

Useful iterations: 3 (816.0ms)

IterNodesCost
01151074
12811017
2806945
33327939
done5000939

prune307.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite139.0ms

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:
66.0ms
(- y (/ (+ z x) (/ y (- z x))))
12.0ms
(/ y (- z x))
51.0ms
(/ (+ z x) (/ y (- z x)))

series174.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(- y (/ (+ z x) (/ y (- z x))))
35.0ms
(/ y (- z x))
72.0ms
(/ (+ z x) (/ y (- z x)))

simplify1.5s

Counts
188 → 188
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02543223
15663010
220592910
done50002883

prune502.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- y (/ (/ (+ z x) y) (/ 1 (- z x))))
0.0b
(/ 1 (- z x))
0.0b
(/ (+ z x) y)
0.3b
(/ (/ (+ z x) y) (/ 1 (- z x)))

rewrite329.0ms

Algorithm
rewrite-expression-head
Rules
895×times-frac
606×*-un-lft-identity
487×add-sqr-sqrt
352×add-cube-cbrt
70×distribute-lft-out
62×difference-of-squares
56×distribute-lft-out--
42×div-inv
37×associate-/r/
32×add-exp-log
29×associate-/r*
23×associate-/l*
20×add-cbrt-cube
19×flip3-- div-exp flip--
10×cbrt-undiv
6×add-log-exp
5×pow1
3×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×sub-neg pow-flip flip3-+ diff-log flip-+ inv-pow
Counts
4 → 491
Calls
4 calls:
178.0ms
(- y (/ (/ (+ z x) y) (/ 1 (- z x))))
12.0ms
(/ 1 (- z x))
20.0ms
(/ (+ z x) y)
57.0ms
(/ (/ (+ z x) y) (/ 1 (- z x)))

series206.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- y (/ (/ (+ z x) y) (/ 1 (- z x))))
44.0ms
(/ 1 (- z x))
31.0ms
(/ (+ z x) y)
66.0ms
(/ (/ (+ z x) y) (/ 1 (- z x)))

simplify2.1s

Counts
503 → 503
Iterations

Useful iterations: done (2.0s)

IterNodesCost
062011801
116959680
243049032
done50009026

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite17.0ms

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)

series1.0s

Counts
4 → 12
Calls
4 calls:
247.0ms
(* (cbrt y) (cbrt y))
273.0ms
(cbrt y)
275.0ms
(cbrt y)
226.0ms
(cbrt y)

simplify4.8s

Counts
85 → 85
Iterations

Useful iterations: done (4.8s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune359.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11113
done1113

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s13879×body80valid