Details

Time bar (total: 17.3s)

sample45.0ms

Algorithm
intervals
Results
9.0ms189×body80valid
6.0ms25×body1280valid
4.0ms125×body80nan
4.0ms25×body640valid
3.0ms15×body1280nan
2.0ms12×body640nan
1.0ms13×body320valid
1.0ms5×body320nan
0.0ms4×body160valid
0.0ms1×body160nan

simplify1.9s

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: 16.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
1.2b
(- 1.0 (/ (- x y) (- 1.0 y)))
6.0b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
27×times-frac
16×add-cube-cbrt difference-of-squares
14×distribute-lft-out--
6×add-exp-log log-prod
5×associate-/r* add-cbrt-cube associate-/l* add-log-exp
4×pow1 flip3-- flip--
2×log-div div-sub associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp rem-log-exp clear-num log-pow div-inv associate--r-
Counts
3 → 85
Calls
3 calls:
41.0ms
(/ (- x y) (- 1.0 y))
74.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
38.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series273.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ (- x y) (- 1.0 y))
82.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
128.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify751.0ms

Counts
94 → 94
Iterations

Useful iterations: 2 (232.0ms)

IterNodesCost
01711417
14071351
213891266
done50011266

prune278.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 y))
0.1b
(* (- x y) (/ 1 (- 1.0 y)))
3.1b
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
6.0b
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×times-frac
25×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×div-exp prod-exp associate-/r/
3×log-prod 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 → 117
Calls
4 calls:
13.0ms
(/ 1 (- 1.0 y))
77.0ms
(* (- x y) (/ 1 (- 1.0 y)))
11.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
8.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

series285.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ 1 (- 1.0 y))
44.0ms
(* (- x y) (/ 1 (- 1.0 y)))
76.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))
128.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))

simplify4.7s

Counts
129 → 129
Iterations

Useful iterations: done (4.7s)

IterNodesCost
02051754
15081551
233751279
done50011277

prune355.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0)))))
1.2b
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
16.1b
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
16.1b
(log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0))))

rewrite471.0ms

Algorithm
rewrite-expression-head
Rules
148×add-sqr-sqrt
73×difference-of-squares
72×log-prod
54×unpow-prod-down cube-prod
42×*-un-lft-identity
33×associate--l+
30×sqr-pow
24×times-frac
19×distribute-lft-out--
10×pow1
8×add-cube-cbrt log-div
6×add-exp-log log-pow add-log-exp
4×flip3-- add-cbrt-cube flip--
3×difference-cubes associate--r+
2×associate--l- sub-neg flip3-+ diff-log rem-log-exp flip-+ associate--r-
Counts
4 → 157
Calls
4 calls:
126.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0)))))
148.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
174.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
12.0ms
(log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0))))

series1.5s

Counts
4 → 12
Calls
4 calls:
542.0ms
(- (log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))) (log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0)))))
299.0ms
(- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3))
466.0ms
(log (- (pow 1.0 3) (pow (/ (- x y) (- 1.0 y)) 3)))
216.0ms
(log (+ (* 1.0 1.0) (* (/ (- x y) (- 1.0 y)) (+ (/ (- x y) (- 1.0 y)) 1.0))))

simplify1.0s

Counts
169 → 169
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02635772
16125433
220715240
done50005236

prune755.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (/ x y) (* 1.0 (/ x (pow y 2)))) (/ 1.0 y))
3.9b
(log (- (+ (/ x y) (* 1.0 (/ x (pow y 2)))) (/ 1.0 y)))
4.8b
(+ (/ x y) (* 1.0 (/ x (pow y 2))))
8.1b
(/ x (pow y 2))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
26×*-un-lft-identity times-frac
22×add-cube-cbrt
12×unpow-prod-down
11×add-log-exp
10×add-exp-log
8×associate-/r*
6×log-prod frac-sub add-cbrt-cube
5×pow1 log-div
4×unpow2 difference-of-squares sqr-pow
3×flip3-+ associate-*r/ div-exp frac-add flip-+ associate-/l*
2×flip3-- diff-log sum-log flip-- distribute-lft-out--
1×cbrt-undiv +-commutative pow-to-exp sub-neg frac-2neg rem-log-exp pow-exp associate--l+ clear-num log-pow div-inv
Counts
4 → 101
Calls
4 calls:
135.0ms
(- (+ (/ x y) (* 1.0 (/ x (pow y 2)))) (/ 1.0 y))
53.0ms
(log (- (+ (/ x y) (* 1.0 (/ x (pow y 2)))) (/ 1.0 y)))
25.0ms
(+ (/ x y) (* 1.0 (/ x (pow y 2))))
14.0ms
(/ x (pow y 2))

series243.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (+ (/ x y) (* 1.0 (/ x (pow y 2)))) (/ 1.0 y))
88.0ms
(log (- (+ (/ x y) (* 1.0 (/ x (pow y 2)))) (/ 1.0 y)))
78.0ms
(+ (/ x y) (* 1.0 (/ x (pow y 2))))
36.0ms
(/ x (pow y 2))

simplify1.2s

Counts
113 → 113
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02102167
14692038
220111858
done50021856

prune416.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes131.0ms

Accuracy

98.7% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 18.2b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02542
13042
done3042

end0.0ms

sample2.3s

Algorithm
intervals
Results
601.0ms830×body1280valid
442.0ms5651×body80valid
238.0ms3676×body80nan
195.0ms797×body640valid
105.0ms480×body320valid
75.0ms327×body1280nan
68.0ms376×body640nan
61.0ms203×body320nan
25.0ms242×body160valid
9.0ms104×body160nan