Details

Time bar (total: 9.7s)

sample270.0ms

Algorithm
intervals
Results
6.0ms322×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
055
175
2155
3195
done195

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite15.0ms

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×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
13.0ms
(* (+ x y) z)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* (+ x y) z)

simplify2.5s

Counts
26 → 26
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
047190
1111185
2348163
31184163
42767163
done5000163

prune55.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
21.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))

series545.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
123.0ms
(cbrt (+ x y))
128.0ms
(cbrt (+ x y))
132.0ms
(cbrt (+ x y))

simplify1.0s

Counts
115 → 115
Iterations

Useful iterations: 3 (326.0ms)

IterNodesCost
01201316
12571198
26621128
318401051
done50011051

prune302.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
18×sqrt-div
17×sqrt-prod
14×associate-*l*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*l/
9×flip3-+ flip-+
4×expm1-log1p-u frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative hypot-def unswap-sqr
Counts
4 → 97
Calls
4 calls:
4.0ms
(sqrt (+ x y))
5.0ms
(sqrt (+ x y))
26.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))
12.0ms
(* (sqrt (+ x y)) z)

series177.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(sqrt (+ x y))
41.0ms
(sqrt (+ x y))
39.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))
61.0ms
(* (sqrt (+ x y)) z)

simplify1.8s

Counts
109 → 109
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01351237
1335991
2907895
32649869
done5000866

prune238.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

23.2b
(/ (* (cbrt (- (* x x) (* y y))) (cbrt (+ (pow x 3) (pow y 3)))) (* (cbrt (fma x x (* y (- y x)))) (cbrt (- x y))))
29.4b
(cbrt (- (* x x) (* y y)))
29.4b
(cbrt (fma x x (* y (- y x))))
40.1b
(cbrt (+ (pow x 3) (pow y 3)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
17×*-un-lft-identity
16×add-exp-log cbrt-prod
8×add-cbrt-cube associate-/l/
7×add-sqr-sqrt add-cube-cbrt
5×flip3-- flip-- distribute-lft-out
4×pow1 cbrt-undiv expm1-log1p-u frac-times unpow-prod-down flip3-+ cube-prod associate-*r/ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u add-log-exp
3×pow1/3
2×associate-*l/ associate-/r/
1×frac-2neg times-frac clear-num associate-/r* sum-cubes div-inv associate-/l* difference-of-squares
Counts
4 → 83
Calls
4 calls:
25.0ms
(/ (* (cbrt (- (* x x) (* y y))) (cbrt (+ (pow x 3) (pow y 3)))) (* (cbrt (fma x x (* y (- y x)))) (cbrt (- x y))))
2.0ms
(cbrt (- (* x x) (* y y)))
1.0ms
(cbrt (fma x x (* y (- y x))))
13.0ms
(cbrt (+ (pow x 3) (pow y 3)))

series615.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(/ (* (cbrt (- (* x x) (* y y))) (cbrt (+ (pow x 3) (pow y 3)))) (* (cbrt (fma x x (* y (- y x)))) (cbrt (- x y))))
109.0ms
(cbrt (- (* x x) (* y y)))
144.0ms
(cbrt (fma x x (* y (- y x))))
92.0ms
(cbrt (+ (pow x 3) (pow y 3)))

simplify745.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (192.0ms)

IterNodesCost
01972176
15232063
218221799
done50011799

prune581.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes137.0ms

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

sample373.0ms

Algorithm
intervals
Results
170.0ms10056×body80valid