Details

Time bar (total: 15.8s)

sample41.0ms

Algorithm
intervals
Results
21.0ms408×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 7 (1.2s)

IterNodesCost
01115
12314
25914
311014
420314
537714
6100114
7442813
done500013

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (/ (- (* x x) (* z z)) y))
1.0b
(- (* x x) (* z z))
11.2b
(/ (- (* x x) (* z z)) y)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
12×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube difference-of-squares
4×associate-/l*
3×pow1 expm1-log1p-u fma-def associate-/r* log1p-expm1-u
2×flip3-- div-sub flip-- associate-/l/
1×cbrt-undiv +-commutative associate-+r- sub-neg frac-2neg flip3-+ fma-neg diff-log div-exp prod-diff clear-num sum-log flip-+ div-inv distribute-lft-out
Counts
3 → 71
Calls
3 calls:
32.0ms
(+ y (/ (- (* x x) (* z z)) y))
20.0ms
(- (* x x) (* z z))
31.0ms
(/ (- (* x x) (* z z)) y)

series155.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ y (/ (- (* x x) (* z z)) y))
40.0ms
(- (* x x) (* z z))
62.0ms
(/ (- (* x x) (* z z)) y)

simplify1.1s

Counts
80 → 80
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01191078
13231022
21389947
done5000943

prune190.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
40×*-un-lft-identity
31×times-frac
24×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×expm1-log1p-u fma-def flip3-+ associate-/r* flip-+ log1p-expm1-u
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- distribute-lft-out
Counts
3 → 101
Calls
3 calls:
17.0ms
(/ (- x z) y)
8.0ms
(+ y (* (+ x z) (/ (- x z) y)))
45.0ms
(* (+ x z) (/ (- x z) y))

series131.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (- x z) y)
43.0ms
(+ y (* (+ x z) (/ (- x z) y)))
57.0ms
(* (+ x z) (/ (- x z) y))

simplify2.2s

Counts
110 → 110
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01551310
14251232
227001144
done50011123

prune353.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
165×*-un-lft-identity
119×add-sqr-sqrt
81×add-cube-cbrt
26×associate-/r*
23×distribute-lft-out
19×distribute-lft-out-- difference-of-squares
13×associate-/r/
10×add-exp-log add-cbrt-cube
7×div-inv associate-/l*
6×flip3-- flip--
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u fma-def log1p-expm1-u
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative sum-log
Counts
3 → 184
Calls
3 calls:
14.0ms
(/ y (- x z))
78.0ms
(+ y (/ (+ x z) (/ y (- x z))))
61.0ms
(/ (+ x z) (/ y (- x z)))

series171.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ y (- x z))
51.0ms
(+ y (/ (+ x z) (/ y (- x z))))
71.0ms
(/ (+ x z) (/ y (- x z)))

simplify1.8s

Counts
193 → 193
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02533175
16802980
239462844
done50002828

prune793.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (+ z x) (cbrt y)) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
336×times-frac
254×*-un-lft-identity
180×cbrt-prod
170×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
28×associate-/l*
9×add-exp-log
8×div-inv
6×associate-/r* add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×frac-2neg clear-num associate-/l/
Counts
4 → 258
Calls
4 calls:
36.0ms
(/ (/ (+ z x) (cbrt y)) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1000.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(/ (/ (+ z x) (cbrt y)) (cbrt y))
280.0ms
(cbrt y)
264.0ms
(cbrt y)
208.0ms
(cbrt y)

simplify1.9s

Counts
270 → 270
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02974776
17384469
239854199
done50004147

prune995.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11313
done1313

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.3s13565×body80valid