Details

Time bar (total: 18.9s)

sample46.0ms

Algorithm
intervals
Results
12.0ms257×body80valid
11.0ms299×body80nan

simplify2.0s

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (+ y 0.5) (log y)))
0.0b
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.2b
(* (+ y 0.5) (log y))

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
19×*-un-lft-identity
14×add-sqr-sqrt
12×log-prod
10×add-cube-cbrt
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in diff-log add-cbrt-cube associate--r+
4×associate-*r* associate-*l* sum-log
3×sub-neg distribute-lft-out
2×associate-+l- associate-+l+ flip3-- flip3-+ associate-*l/ flip-- flip-+ distribute-lft-out--
1×+-commutative associate--l- pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
12.0ms
(- x (* (+ y 0.5) (log y)))
172.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
44.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
44.0ms
(* (+ y 0.5) (log y))

series543.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(- x (* (+ y 0.5) (log y)))
72.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
72.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
339.0ms
(* (+ y 0.5) (log y))

simplify814.0ms

Counts
93 → 93

prune300.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ y 0.5) (* 2 (log (cbrt y))))
0.2b
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
49×distribute-rgt-in distribute-lft-in
48×log-prod
30×cbrt-prod
25×*-un-lft-identity
24×associate-+l+
23×add-sqr-sqrt add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×flip3-+ associate-*l/ flip-+ add-log-exp
4×associate-*r/ associate-*l* frac-add
3×pow-prod-down prod-exp cbrt-unprod
2×associate-+r+ pow1/3
1×+-commutative associate-*r* sum-log *-commutative distribute-lft-out
Counts
4 → 108
Calls
4 calls:
38.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
55.0ms
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series2.5s

Counts
4 → 12
Calls
4 calls:
676.0ms
(* (+ y 0.5) (* 2 (log (cbrt y))))
1.2s
(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
283.0ms
(cbrt y)
309.0ms
(cbrt y)

simplify1.1s

Counts
120 → 120

prune571.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
0.1b
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
0.4b
(* (sqrt (+ y 0.5)) (log y))
0.4b
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
30×log-prod
27×distribute-rgt-in distribute-lft-in
25×*-un-lft-identity
23×add-sqr-sqrt
19×add-cube-cbrt
14×sqrt-div associate-*l*
12×pow1 associate--r+
11×add-exp-log add-cbrt-cube add-log-exp
10×associate-*l/
9×sqrt-prod
8×flip3-+ flip-+
5×associate-*r*
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×sub-neg associate-+l+ diff-log associate-*r/ sum-log *-commutative unswap-sqr
1×+-commutative associate-+l- flip3-- log-pow flip--
Counts
4 → 114
Calls
4 calls:
9.0ms
(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
28.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
44.0ms
(* (sqrt (+ y 0.5)) (log y))
94.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

series550.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
64.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
109.0ms
(* (sqrt (+ y 0.5)) (log y))
329.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))

simplify842.0ms

Counts
126 → 126

prune490.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (* (sqrt (cbrt (+ y 0.5))) (log y)))
0.4b
(* (sqrt (+ y 0.5)) (* (sqrt (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (* (sqrt (cbrt (+ y 0.5))) (log y))))
0.5b
(sqrt (cbrt (+ y 0.5)))
0.7b
(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

rewrite703.0ms

Algorithm
rewrite-expression-head
Rules
230×cbrt-div
224×sqrt-div
168×frac-times
142×flip3-+ flip-+
132×associate-*l/
60×associate-*r/
48×distribute-rgt-in distribute-lft-in
47×*-un-lft-identity
39×add-sqr-sqrt
36×log-prod
29×cbrt-prod add-cube-cbrt
26×pow1
20×add-exp-log
18×associate-*l* add-cbrt-cube
12×sqrt-prod
11×pow-prod-down
10×prod-exp cbrt-unprod
9×swap-sqr associate-*r*
8×distribute-lft-out
7×pow1/3
4×add-log-exp unswap-sqr
3×*-commutative
2×rem-sqrt-square sqrt-pow1 pow-sqr pow-prod-up
1×pow2 pow-plus pow1/2
Counts
4 → 260
Calls
4 calls:
125.0ms
(* (sqrt (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (* (sqrt (cbrt (+ y 0.5))) (log y)))
481.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (* (sqrt (cbrt (+ y 0.5))) (log y))))
8.0ms
(sqrt (cbrt (+ y 0.5)))
39.0ms
(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

series720.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (sqrt (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (* (sqrt (cbrt (+ y 0.5))) (log y)))
371.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (* (sqrt (cbrt (+ y 0.5))) (log y))))
100.0ms
(sqrt (cbrt (+ y 0.5)))
158.0ms
(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

simplify1.5s

Counts
272 → 272

prune1.9s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes261.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.8s

end0.0ms

sample1.7s

Algorithm
intervals
Results
662.0ms8042×body80valid
409.0ms7885×body80nan
0.0ms1×body1280valid