Details

Time bar (total: 13.0s)

sample71.0ms

Algorithm
intervals
Results
10.0ms303×body80valid

simplify43.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
17
05

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize228.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite36.0ms

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:
34.0ms
(* (+ x y) z)

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(* (+ x y) z)

simplify859.0ms

Counts
24 → 24
Iterations
IterNodes
done5000
2506
1111
045

prune101.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

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×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
7.0ms
(cbrt (+ x y))
7.0ms
(cbrt (+ x y))
7.0ms
(cbrt (+ x y))
67.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))

series800.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt (+ x y))
172.0ms
(cbrt (+ x y))
184.0ms
(cbrt (+ x y))
247.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))

simplify1.4s

Counts
107 → 107
Iterations
IterNodes
done5000
21129
1277
0116

prune621.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- x y))
0.2b
(* (* z (- x y)) (+ x y))
17.3b
(/ (* (* z (- x y)) (+ x y)) (- x y))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
18×associate-*r/
16×add-sqr-sqrt *-un-lft-identity
10×pow1
9×associate-*r*
8×frac-times flip3-- add-cube-cbrt flip-- associate-/l/
7×prod-exp cbrt-unprod
6×flip3-+ flip-+
5×associate-/r* times-frac
4×associate-*l* pow-prod-down associate-*l/
3×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp distribute-lft-out-- add-log-exp difference-of-squares
2×sub-neg associate-/r/ *-commutative
1×clear-num frac-2neg div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 92
Calls
3 calls:
31.0ms
(* z (- x y))
36.0ms
(* (* z (- x y)) (+ x y))
49.0ms
(/ (* (* z (- x y)) (+ x y)) (- x y))

series207.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* z (- x y))
100.0ms
(* (* z (- x y)) (+ x y))
51.0ms
(/ (* (* z (- x y)) (+ x y)) (- x y))

simplify2.6s

Counts
101 → 101
Iterations
IterNodes
done5000
24102
1477
0145

prune513.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 +-commutative sum-log *-un-lft-identity flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
1 → 11
Calls
1 calls:
12.0ms
(+ (* z y) (* x z))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(+ (* z y) (* x z))

simplify3.9s

Counts
14 → 14
Iterations
IterNodes
done5001
44836
31215
2333
195
027

prune48.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes225.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done9
19
06

end0.0ms

sample890.0ms

Algorithm
intervals
Results
350.0ms10111×body80valid