Details

Time bar (total: 16.5s)

sample46.0ms

Algorithm
intervals
Results
12.0ms259×body80valid
10.0ms274×body80nan

simplify920.0ms

Counts
1 → 1
Iterations
IterNodes
done5001
41007
3189
261
121
010

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
11×add-log-exp
6×add-sqr-sqrt *-un-lft-identity associate-*r/
5×pow1 flip3-+ flip-+
4×add-cbrt-cube diff-log associate-*r* associate-*l* add-exp-log frac-sub add-cube-cbrt
2×distribute-rgt-in sum-log distribute-lft-in associate--r+
1×associate--l- sub-neg flip3-- pow-prod-down prod-exp associate--l+ log-pow *-commutative associate-+l- cbrt-unprod flip-- distribute-lft-out unswap-sqr
Counts
2 → 46
Calls
2 calls:
208.0ms
(- (+ (- y z) x) (* (log y) (+ 0.5 y)))
30.0ms
(* (log y) (+ 0.5 y))

series477.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(- (+ (- y z) x) (* (log y) (+ 0.5 y)))
383.0ms
(* (log y) (+ 0.5 y))

simplify1.0s

Counts
52 → 52
Iterations
IterNodes
done5000
22281
1429
0140

prune318.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite285.0ms

Algorithm
rewrite-expression-head
Rules
40×sqrt-div
28×flip3-+ flip-+
26×associate-*r/
16×*-un-lft-identity frac-sub
15×add-sqr-sqrt
14×associate-*r*
13×pow1 sqrt-prod add-log-exp
12×frac-times
11×add-cbrt-cube add-exp-log
10×add-cube-cbrt
6×associate-*l/
5×associate-*l*
4×diff-log pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×sum-log *-commutative unswap-sqr
1×associate--l- rem-sqrt-square sub-neg sqrt-pow1 flip3-- pow1/2 associate--l+ log-pow associate-+l- flip--
Counts
4 → 104
Calls
4 calls:
11.0ms
(sqrt (+ 0.5 y))
179.0ms
(- (+ (- y z) x) (* (* (log y) (sqrt (+ 0.5 y))) (sqrt (+ 0.5 y))))
63.0ms
(* (* (log y) (sqrt (+ 0.5 y))) (sqrt (+ 0.5 y)))
25.0ms
(* (log y) (sqrt (+ 0.5 y)))

series662.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(sqrt (+ 0.5 y))
113.0ms
(- (+ (- y z) x) (* (* (log y) (sqrt (+ 0.5 y))) (sqrt (+ 0.5 y))))
389.0ms
(* (* (log y) (sqrt (+ 0.5 y))) (sqrt (+ 0.5 y)))
101.0ms
(* (log y) (sqrt (+ 0.5 y)))

simplify1.7s

Counts
116 → 116
Iterations
IterNodes
done5001
23736
1762
0279

prune649.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite362.0ms

Algorithm
rewrite-expression-head
Rules
40×sqrt-div
28×flip3-+ flip-+
26×associate-*l/
18×*-un-lft-identity
17×add-sqr-sqrt
16×frac-sub
13×pow1 sqrt-prod add-log-exp
12×frac-times add-cube-cbrt
11×add-cbrt-cube associate-*r* add-exp-log
8×associate-*l*
6×log-prod associate-*r/
4×diff-log pow-prod-down prod-exp cbrt-unprod
3×distribute-rgt-in distribute-lft-in distribute-lft-out
2×sum-log *-commutative unswap-sqr
1×associate--l- rem-sqrt-square sub-neg sqrt-pow1 flip3-- pow1/2 associate--l+ log-pow associate-+l- flip--
Counts
4 → 110
Calls
4 calls:
11.0ms
(sqrt (+ 0.5 y))
229.0ms
(- (+ (- y z) x) (* (* (sqrt (+ 0.5 y)) (log y)) (sqrt (+ 0.5 y))))
88.0ms
(* (* (sqrt (+ 0.5 y)) (log y)) (sqrt (+ 0.5 y)))
25.0ms
(* (sqrt (+ 0.5 y)) (log y))

series630.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(sqrt (+ 0.5 y))
77.0ms
(- (+ (- y z) x) (* (* (sqrt (+ 0.5 y)) (log y)) (sqrt (+ 0.5 y))))
396.0ms
(* (* (sqrt (+ 0.5 y)) (log y)) (sqrt (+ 0.5 y)))
110.0ms
(* (sqrt (+ 0.5 y)) (log y))

simplify2.0s

Counts
122 → 122
Iterations
IterNodes
done5001
23621
1775
0295

prune705.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (log (cbrt y)) (sqrt (+ 0.5 y)))
0.4b
(* (+ (* (* 2 (log (cbrt y))) (sqrt (+ 0.5 y))) (* (log (cbrt y)) (sqrt (+ 0.5 y)))) (sqrt (+ 0.5 y)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
40×sqrt-div
28×associate-*r/
23×flip3-+ flip-+
20×add-sqr-sqrt
16×*-un-lft-identity
14×associate-*r*
12×frac-times frac-add add-cube-cbrt
10×sqrt-prod
9×pow1 associate-*l*
8×add-cbrt-cube add-exp-log
6×cbrt-prod associate-*l/
4×add-log-exp unswap-sqr
3×pow1/3
2×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out
1×distribute-rgt-out
Counts
4 → 93
Calls
4 calls:
36.0ms
(* (log (cbrt y)) (sqrt (+ 0.5 y)))
128.0ms
(* (+ (* (* 2 (log (cbrt y))) (sqrt (+ 0.5 y))) (* (log (cbrt y)) (sqrt (+ 0.5 y)))) (sqrt (+ 0.5 y)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.4s

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (log (cbrt y)) (sqrt (+ 0.5 y)))
731.0ms
(* (+ (* (* 2 (log (cbrt y))) (sqrt (+ 0.5 y))) (* (log (cbrt y)) (sqrt (+ 0.5 y)))) (sqrt (+ 0.5 y)))
244.0ms
(cbrt y)
281.0ms
(cbrt y)

simplify1.4s

Counts
105 → 105
Iterations
IterNodes
done5001
22485
1544
0217

prune867.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes299.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample2.2s

Algorithm
intervals
Results
731.0ms8202×body80nan
635.0ms8048×body80valid
0.0ms1×body1280valid