Details

Time bar (total: 9.0s)

sample21.0ms

Algorithm
intervals
Results
9.0ms348×body80valid

simplify444.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1209
2409
3549
4759
51079
61629
72299
83469
94579
105179
115679
125809
135849
done5849

prune2.0ms

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) (* t 2.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
7×add-sqr-sqrt
6×add-exp-log times-frac add-cbrt-cube associate-/l*
4×distribute-lft-out--
3×add-cube-cbrt
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out difference-of-squares
1×pow1 flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
36.0ms
(/ (- (+ x y) z) (* t 2.0))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify1.7s

Counts
33 → 33
Iterations

Useful iterations: done (1.7s)

IterNodesCost
078418
1203411
2688355
32706353
done5000352

prune64.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
16×times-frac
12×add-sqr-sqrt
9×add-log-exp
8×distribute-lft-out
7×add-cube-cbrt
5×distribute-lft-out--
3×frac-sub
2×pow1 add-exp-log flip3-+ diff-log frac-add sum-log add-cbrt-cube flip-+ div-inv difference-of-squares
1×+-commutative sub-neg distribute-rgt-out flip3-- associate--l+ flip--
Counts
2 → 41
Calls
2 calls:
126.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
17.0ms
(+ (/ y t) (/ x t))

series37.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
17.0ms
(+ (/ y t) (/ x t))

simplify742.0ms

Counts
47 → 47
Iterations

Useful iterations: 3 (193.0ms)

IterNodesCost
089725
1220691
2598661
31902647
done5000647

prune110.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
58×cbrt-prod
37×add-sqr-sqrt
22×distribute-lft-out--
18×cbrt-div
15×add-cube-cbrt swap-sqr
11×pow1 distribute-lft-out
9×flip3-- pow1/3 associate-*r* associate-*l* flip--
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 → 111
Calls
4 calls:
70.0ms
(* (cbrt (- (+ x y) z)) (cbrt (- (+ x y) z)))
8.0ms
(cbrt (- (+ x y) z))
11.0ms
(cbrt (- (+ x y) z))
8.0ms
(cbrt (- (+ x y) z))

series595.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (cbrt (- (+ x y) z)) (cbrt (- (+ x y) z)))
156.0ms
(cbrt (- (+ x y) z))
156.0ms
(cbrt (- (+ x y) z))
153.0ms
(cbrt (- (+ x y) z))

simplify1.2s

Counts
123 → 123
Iterations

Useful iterations: 3 (520.0ms)

IterNodesCost
01251951
12611801
26811704
318381524
done50011524

prune296.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* t (+ y x))
0.0b
(- (/ (* t (+ y x)) (* t t)) (/ z t))
29.8b
(/ (* t (+ y x)) (* t t))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
9×*-un-lft-identity
5×pow1 add-cube-cbrt prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv associate-*r/ div-exp associate-*r*
3×associate-*l*
2×flip3-+ times-frac flip-+ associate-/l/ difference-of-squares
1×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in diff-log pow-prod-down clear-num associate-/r* *-commutative frac-sub flip-- div-inv distribute-lft-out associate-/l* distribute-lft-out-- unswap-sqr
Counts
3 → 62
Calls
3 calls:
9.0ms
(* t (+ y x))
13.0ms
(- (/ (* t (+ y x)) (* t t)) (/ z t))
7.0ms
(/ (* t (+ y x)) (* t t))

series77.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* t (+ y x))
27.0ms
(- (/ (* t (+ y x)) (* t t)) (/ z t))
24.0ms
(/ (* t (+ y x)) (* t t))

simplify2.4s

Counts
71 → 71
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0119934
1345812
21169612
done5000606

prune142.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes205.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11313
done1313

end0.0ms

sample583.0ms

Algorithm
intervals
Results
293.0ms10901×body80valid