Details

Time bar (total: 13.3s)

sample59.0ms

Algorithm
intervals
Results
8.0ms317×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
175
2155
done155

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
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:
25.0ms
(* (+ x y) z)

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* (+ x y) z)

simplify4.0s

Counts
24 → 24
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
045178
1107175
2359151
31064151
44014151
done5000151

prune67.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
3.1b
(cbrt (* (+ x y) z))
3.1b
(cbrt (* (+ x y) z))
3.1b
(cbrt (* (+ x y) z))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
36.0ms
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
7.0ms
(cbrt (* (+ x y) z))
7.0ms
(cbrt (* (+ x y) z))
15.0ms
(cbrt (* (+ x y) z))

series690.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt (* (+ x y) z)) (cbrt (* (+ x y) z)))
191.0ms
(cbrt (* (+ x y) z))
152.0ms
(cbrt (* (+ x y) z))
146.0ms
(cbrt (* (+ x y) z))

simplify2.0s

Counts
84 → 84
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01391272
13191169
28101073
31995981
done5000918

prune396.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

3.1b
(cbrt (* (+ x y) z))
3.1b
(cbrt (* (+ x y) z))
3.1b
(cbrt (* (+ x y) z))
3.1b
(cbrt (* (+ x y) z))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-div associate-*l/
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 44
Calls
4 calls:
13.0ms
(cbrt (* (+ x y) z))
15.0ms
(cbrt (* (+ x y) z))
15.0ms
(cbrt (* (+ x y) z))
14.0ms
(cbrt (* (+ x y) z))

series633.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt (* (+ x y) z))
126.0ms
(cbrt (* (+ x y) z))
165.0ms
(cbrt (* (+ x y) z))
169.0ms
(cbrt (* (+ x y) z))

simplify1.9s

Counts
56 → 56
Iterations

Useful iterations: done (1.9s)

IterNodesCost
073704
1168688
2381636
3886600
42037544
done5000524

prune334.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

2.3b
(- (* x x) (* y y))
8.4b
(* (- (* x x) (* y y)) z)
15.8b
(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-/r* add-log-exp
4×flip3-- associate-*l* associate-*l/ flip-- difference-of-squares
3×associate-*r*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×sub-neg frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
8.0ms
(- (* x x) (* y y))
42.0ms
(* (- (* x x) (* y y)) z)
57.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

series216.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- (* x x) (* y y))
85.0ms
(* (- (* x x) (* y y)) z)
73.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

simplify1.4s

Counts
72 → 72
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01131012
1294977
21255819
done5000803

prune208.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
done75

end0.0ms

sample840.0ms

Algorithm
intervals
Results
314.0ms10115×body80valid