Details

Time bar (total: 19.3s)

sample46.0ms

Algorithm
intervals
Results
9.0ms188×body80valid
5.0ms158×body80nan
4.0ms19×body1280valid
4.0ms23×body640valid
2.0ms13×body1280nan
2.0ms17×body320valid
1.0ms7×body640nan
1.0ms9×body160valid
0.0ms4×body320nan
0.0ms3×body160nan

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11912
22912
34112
47512
512412
620812
732012
877212
9304512
done500112

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b
(/ (- x y) (- 1.0 y))
2.8b
(- 1.0 (/ (- x y) (- 1.0 y)))
5.2b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite278.0ms

Algorithm
rewrite-expression-head
Rules
192×add-sqr-sqrt
184×*-un-lft-identity
105×prod-diff
103×times-frac
91×add-cube-cbrt
49×difference-of-squares
47×distribute-lft-out--
12×log-prod
9×pow1 flip3-- flip--
8×associate-/r/
7×add-exp-log add-log-exp
6×fma-neg add-cbrt-cube associate--r+
5×associate-/r* log-pow associate-/l*
4×expm1-log1p-u log-div log1p-expm1-u div-inv
3×associate--r-
2×sub-neg diff-log div-sub associate-/l/
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num
Counts
4 → 227
Calls
4 calls:
75.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
41.0ms
(/ (- x y) (- 1.0 y))
55.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
94.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series401.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
60.0ms
(/ (- x y) (- 1.0 y))
82.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
135.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify2.6s

Counts
239 → 239
Iterations

Useful iterations: done (2.6s)

IterNodesCost
03908619
110297668
242325877
done50005876

prune820.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 y))
0.1b
(* (- x y) (/ 1 (- 1.0 y)))
5.2b
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
5.7b
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×times-frac
27×add-cube-cbrt
21×associate-*r*
18×add-exp-log
11×add-cbrt-cube
8×pow1 distribute-lft-out-- difference-of-squares
6×flip3-- flip-- add-log-exp
5×associate-*l* associate-/r*
4×expm1-log1p-u div-exp prod-exp associate-/r/ log1p-expm1-u
3×log-prod fma-neg prod-diff associate-/l* unswap-sqr
2×cbrt-undiv frac-times log-div rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ rem-log-exp pow-prod-down clear-num log-pow un-div-inv *-commutative inv-pow
Counts
4 → 131
Calls
4 calls:
17.0ms
(/ 1 (- 1.0 y))
72.0ms
(* (- x y) (/ 1 (- 1.0 y)))
5.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
13.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series303.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ 1 (- 1.0 y))
43.0ms
(* (- x y) (/ 1 (- 1.0 y)))
141.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
83.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify4.5s

Counts
143 → 143
Iterations

Useful iterations: done (4.5s)

IterNodesCost
02221969
15531748
237291447
done50001443

prune439.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

2.8b
(- 1.0 (/ (- x y) (- 1.0 y)))
5.2b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
5.2b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
5.2b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
152×add-sqr-sqrt
140×*-un-lft-identity
93×prod-diff
79×times-frac
72×add-cube-cbrt
38×difference-of-squares
34×distribute-lft-out--
18×log-prod
7×pow1 add-exp-log flip3-- flip--
6×log-div associate-/r/ add-log-exp
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×fma-neg rem-log-exp log-pow div-inv
1×sub-neg diff-log div-sub associate--r-
Counts
4 → 171
Calls
4 calls:
63.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
49.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
62.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
84.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series398.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
96.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
101.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
113.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify2.0s

Counts
183 → 183
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03007295
17616729
226465114
done50014096

prune544.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- x y) (/ (/ (- x y) (- 1.0 y)) (- 1.0 y)))
1.8b
(log (- (* 1.0 1.0) (* (- x y) (/ (/ (- x y) (- 1.0 y)) (- 1.0 y)))))
5.2b
(log (+ 1.0 (/ (- x y) (- 1.0 y))))
5.7b
(- (* 1.0 1.0) (* (- x y) (/ (/ (- x y) (- 1.0 y)) (- 1.0 y))))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
283×times-frac
267×add-sqr-sqrt
260×*-un-lft-identity
161×associate-*r*
94×add-cube-cbrt
82×distribute-lft-out-- difference-of-squares
15×add-exp-log
13×add-cbrt-cube
12×associate-/r/
10×flip3-- flip--
8×pow1
7×log-prod
6×div-inv add-log-exp
5×associate-*l*
4×expm1-log1p-u log-div log1p-expm1-u
3×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
2×frac-times rem-log-exp associate-*l/ log-pow
1×sub-neg flip3-+ fma-neg diff-log associate-*r/ prod-diff pow-prod-down *-commutative flip-+ distribute-lft-out
Counts
4 → 240
Calls
4 calls:
135.0ms
(* (- x y) (/ (/ (- x y) (- 1.0 y)) (- 1.0 y)))
19.0ms
(log (- (* 1.0 1.0) (* (- x y) (/ (/ (- x y) (- 1.0 y)) (- 1.0 y)))))
49.0ms
(log (+ 1.0 (/ (- x y) (- 1.0 y))))
10.0ms
(- (* 1.0 1.0) (* (- x y) (/ (/ (- x y) (- 1.0 y)) (- 1.0 y))))

series623.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (- x y) (/ (/ (- x y) (- 1.0 y)) (- 1.0 y)))
351.0ms
(log (- (* 1.0 1.0) (* (- x y) (/ (/ (- x y) (- 1.0 y)) (- 1.0 y)))))
92.0ms
(log (+ 1.0 (/ (- x y) (- 1.0 y))))
125.0ms
(- (* 1.0 1.0) (* (- x y) (/ (/ (- x y) (- 1.0 y)) (- 1.0 y))))

simplify645.0ms

Counts
252 → 252
Iterations

Useful iterations: done (637.0ms)

IterNodesCost
04175131
112284757
done50004429

prune934.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes362.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 18.5b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02441
12741
done2741

end0.0ms

sample2.3s

Algorithm
intervals
Results
363.0ms5619×body80valid
356.0ms243×body160valid
303.0ms838×body1280valid
238.0ms3859×body80nan
202.0ms859×body640valid
186.0ms363×body1280nan
64.0ms441×body320valid
63.0ms364×body640nan
25.0ms200×body320nan
10.0ms112×body160nan