Details

Time bar (total: 11.6s)

sample231.0ms

Algorithm
intervals
Results
46.0ms326×body80valid

simplify17.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
17
05

prune57.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
117.0ms
(* (+ x y) z)

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* (+ x y) z)

simplify302.0ms

Counts
24 → 24
Iterations
IterNodes
done5000
2506
1111
045

prune131.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.0b
(sqrt (+ x y))
0.1b
(* (sqrt (+ x y)) z)
0.1b
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×sqrt-div
17×add-sqr-sqrt sqrt-prod
14×associate-*l*
13×pow1
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*l/
9×flip3-+ flip-+
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod distribute-lft-out add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
16.0ms
(sqrt (+ x y))
52.0ms
(sqrt (+ x y))
79.0ms
(* (sqrt (+ x y)) z)
64.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

series261.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(sqrt (+ x y))
41.0ms
(sqrt (+ x y))
104.0ms
(* (sqrt (+ x y)) z)
76.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

simplify730.0ms

Counts
99 → 99
Iterations
IterNodes
done5000
21264
1323
0129

prune549.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (+ x y)))
0.1b
(* (* (sqrt (sqrt (+ y x))) (sqrt (+ y x))) z)
0.2b
(* (sqrt (sqrt (+ x y))) (* (* (sqrt (sqrt (+ y x))) (sqrt (+ y x))) z))
0.2b
(* (sqrt (sqrt (+ y x))) (sqrt (+ y x)))

rewrite494.0ms

Algorithm
rewrite-expression-head
Rules
130×sqrt-div
48×sqrt-prod
44×associate-*l/
40×flip3-+ flip-+
36×frac-times
32×pow1
31×add-sqr-sqrt
23×*-un-lft-identity
21×associate-*l*
20×add-cbrt-cube add-exp-log
18×associate-*r/
16×sqrt-pow1
15×add-cube-cbrt
12×pow-prod-down
11×associate-*r*
10×pow1/2 prod-exp cbrt-unprod
6×pow-prod-up unswap-sqr
4×distribute-lft-out add-log-exp
3×*-commutative
2×rem-sqrt-square pow-plus cube-unmult
1×sqrt-unprod
Counts
4 → 157
Calls
4 calls:
12.0ms
(sqrt (sqrt (+ x y)))
118.0ms
(* (* (sqrt (sqrt (+ y x))) (sqrt (+ y x))) z)
285.0ms
(* (sqrt (sqrt (+ x y))) (* (* (sqrt (sqrt (+ y x))) (sqrt (+ y x))) z))
70.0ms
(* (sqrt (sqrt (+ y x))) (sqrt (+ y x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
275.0ms
(sqrt (sqrt (+ x y)))
447.0ms
(* (* (sqrt (sqrt (+ y x))) (sqrt (+ y x))) z)
65.0ms
(* (sqrt (sqrt (+ x y))) (* (* (sqrt (sqrt (+ y x))) (sqrt (+ y x))) z))
334.0ms
(* (sqrt (sqrt (+ y x))) (sqrt (+ y x)))

simplify2.3s

Counts
169 → 169
Iterations
IterNodes
done5000
24264
1814
0312

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

1.2b
(- (* y y) (* x (- y x)))
2.9b
(+ (pow x 3) (pow y 3))
7.4b
(* (+ (pow x 3) (pow y 3)) z)
36.5b
(/ (* (+ (pow x 3) (pow y 3)) z) (- (* y y) (* x (- y x))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
11×add-cbrt-cube add-exp-log
10×add-sqr-sqrt distribute-lft-out
9×associate-*l*
8×unpow-prod-down cube-prod add-cube-cbrt add-log-exp
6×pow1
4×associate-*l/ associate--r+
3×associate-/r* sub-neg flip3-+ times-frac associate-*r* flip-+
2×distribute-rgt-in cbrt-undiv distribute-lft-in flip3-- div-exp prod-exp associate-/r/ sum-cubes cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg diff-log pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 84
Calls
4 calls:
9.0ms
(- (* y y) (* x (- y x)))
32.0ms
(+ (pow x 3) (pow y 3))
75.0ms
(* (+ (pow x 3) (pow y 3)) z)
51.0ms
(/ (* (+ (pow x 3) (pow y 3)) z) (- (* y y) (* x (- y x))))

series312.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (* y y) (* x (- y x)))
68.0ms
(+ (pow x 3) (pow y 3))
81.0ms
(* (+ (pow x 3) (pow y 3)) z)
134.0ms
(/ (* (+ (pow x 3) (pow y 3)) z) (- (* y y) (* x (- y x))))

simplify1.4s

Counts
96 → 96
Iterations
IterNodes
done5001
22061
1357
0128

prune582.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes240.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done7
17
05

end0.0ms

sample925.0ms

Algorithm
intervals
Results
331.0ms10090×body80valid