Details

Time bar (total: 17.5s)

sample32.0ms

Algorithm
intervals
Results
16.0ms324×body80valid

simplify6.0s

Counts
1 → 1
Iterations

Useful iterations: 7 (805.0ms)

IterNodesCost
01011
12011
24711
312811
429011
547511
671811
78909
822929
done50019

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
5×associate-/l*
4×distribute-lft-out-- difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
15.0ms
(/ (- x y) z)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (- x y) z)

simplify1.9s

Counts
41 → 41
Iterations

Useful iterations: 4 (862.0ms)

IterNodesCost
073404
1156383
2361363
3949363
42416362
done5000362

prune105.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (/ x z) (/ y z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×*-un-lft-identity
10×times-frac
4×distribute-lft-out-- difference-of-squares
3×add-cube-cbrt add-log-exp
2×div-inv
1×pow1 add-exp-log sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub add-cbrt-cube flip-- sub-div
Counts
1 → 23
Calls
1 calls:
37.0ms
(- (/ x z) (/ y z))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(- (/ x z) (/ y z))

simplify2.8s

Counts
26 → 26
Iterations

Useful iterations: 4 (389.0ms)

IterNodesCost
055302
1118297
2250281
3542281
41400279
54325279
done5000279

prune63.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- x y)) (cbrt (- x y)))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
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 → 101
Calls
4 calls:
42.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
5.0ms
(cbrt (- x y))
5.0ms
(cbrt (- x y))
8.0ms
(cbrt (- x y))

series704.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
190.0ms
(cbrt (- x y))
199.0ms
(cbrt (- x y))
178.0ms
(cbrt (- x y))

simplify2.6s

Counts
113 → 113
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01311384
12621281
26171223
313371124
435021080
done50011032

prune406.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (+ x y))
2.8b
(- (* x x) (* y y))
25.1b
(/ (- (* x x) (* y y)) (* z (+ x y)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
5×pow1 add-log-exp
4×times-frac associate-*r/ associate-*r* associate-/l*
3×associate-*l* difference-of-squares
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log div-sub pow-prod-down clear-num associate-/r* *-commutative div-inv distribute-lft-out unswap-sqr
Counts
3 → 64
Calls
3 calls:
40.0ms
(* z (+ x y))
13.0ms
(- (* x x) (* y y))
43.0ms
(/ (- (* x x) (* y y)) (* z (+ x y)))

series171.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* z (+ x y))
53.0ms
(- (* x x) (* y y))
85.0ms
(/ (- (* x x) (* y y)) (* z (+ x y)))

simplify1.0s

Counts
73 → 73
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0109914
1315883
21216759
done5001655

prune238.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample983.0ms

Algorithm
intervals
Results
584.0ms10023×body80valid