Details

Time bar (total: 14.5s)

sample16.0ms

Algorithm
intervals
Results
6.0ms301×body80valid

simplify4.0s

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) x)
0.0b
(+ (+ (* x y) x) y)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
9.0ms
(+ (* x y) x)
41.0ms
(+ (+ (* x y) x) y)

series86.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ (* x y) x)
35.0ms
(+ (+ (* x y) x) y)

simplify896.0ms

Counts
31 → 31

prune81.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube 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 → 87
Calls
4 calls:
72.0ms
(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
11.0ms
(cbrt (+ (* x y) x))
11.0ms
(cbrt (+ (* x y) x))
12.0ms
(cbrt (+ (* x y) x))

series325.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (cbrt (+ (* x y) x)) (cbrt (+ (* x y) x)))
80.0ms
(cbrt (+ (* x y) x))
77.0ms
(cbrt (+ (* x y) x))
79.0ms
(cbrt (+ (* x y) x))

simplify556.0ms

Counts
99 → 99

prune373.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
8.0ms
(cbrt (+ (* x y) x))
13.0ms
(cbrt (+ (* x y) x))
6.0ms
(cbrt (+ (* x y) x))
7.0ms
(cbrt (+ (* x y) x))

series410.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(cbrt (+ (* x y) x))
101.0ms
(cbrt (+ (* x y) x))
116.0ms
(cbrt (+ (* x y) x))
87.0ms
(cbrt (+ (* x y) x))

simplify760.0ms

Counts
64 → 64

prune316.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (* x (- (* y (* x y)) x)) (- (* x y) x)) y)
0.1b
(* y (* x y))
3.1b
(* x (- (* y (* x y)) x))
28.6b
(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt
6×associate-*l* add-log-exp
5×prod-exp cbrt-unprod
4×associate-*r/ associate-*r* pow-prod-down
3×flip3-- times-frac associate-/r* flip--
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp associate-/r/ *-commutative associate-/l/
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
4 → 79
Calls
4 calls:
108.0ms
(+ (/ (* x (- (* y (* x y)) x)) (- (* x y) x)) y)
19.0ms
(* y (* x y))
74.0ms
(* x (- (* y (* x y)) x))
63.0ms
(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

series449.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (/ (* x (- (* y (* x y)) x)) (- (* x y) x)) y)
33.0ms
(* y (* x y))
145.0ms
(* x (- (* y (* x y)) x))
190.0ms
(/ (* x (- (* y (* x y)) x)) (- (* x y) x))

simplify921.0ms

Counts
91 → 91

prune260.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.7s

end0.0ms

sample626.0ms

Algorithm
intervals
Results
288.0ms9189×body80valid