Details

Time bar (total: 20.7s)

sample58.0ms

Algorithm
intervals
Results
22.0ms345×body80valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1209
2419
3579
4769
51109
62199
75259
815169
949449
done50009

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (+ x y) z) (* t 2.0))

rewrite175.0ms

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 expm1-log1p-u flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
173.0ms
(/ (- (+ x y) z) (* t 2.0))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify3.0s

Counts
35 → 35
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
080438
1206430
2754374
34216372
done5000372

prune223.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) (* t 2.0))
0.0b
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
63×*-un-lft-identity
56×prod-diff
38×add-sqr-sqrt
36×add-cube-cbrt
19×div-inv
11×distribute-lft-out
8×fma-neg
7×add-exp-log add-cbrt-cube
4×associate-/l* add-log-exp
3×distribute-lft-out--
2×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l/
1×sub-neg flip3-- distribute-rgt-out-- frac-2neg flip3-+ diff-log prod-exp clear-num associate-/r* frac-sub flip-- cbrt-unprod flip-+ sub-div difference-of-squares
Counts
2 → 112
Calls
2 calls:
42.0ms
(/ (+ x y) (* t 2.0))
141.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (+ x y) (* t 2.0))
67.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify2.3s

Counts
118 → 118
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01893481
14842929
218232349
done50001866

prune513.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite482.0ms

Algorithm
rewrite-expression-head
Rules
246×*-un-lft-identity
181×times-frac
117×add-sqr-sqrt
112×add-cube-cbrt
104×prod-diff
64×distribute-lft-out
39×div-inv
15×distribute-rgt-out
13×fma-def
9×add-log-exp
8×fma-neg
5×distribute-lft-out--
3×frac-sub
2×pow1 add-exp-log expm1-log1p-u flip3-+ diff-log frac-add sum-log add-cbrt-cube flip-+ log1p-expm1-u difference-of-squares
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
2 → 170
Calls
2 calls:
412.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
42.0ms
(+ (/ y t) (/ x t))

series68.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
30.0ms
(+ (/ y t) (/ x t))

simplify2.9s

Counts
176 → 176
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02545747
16335137
223343903
done50012951

prune567.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (+ x y) z) (* t 2.0))
0.3b
(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
0.6b
(sqrt (/ (- (+ x y) z) (* t 2.0)))
0.6b
(sqrt (/ (- (+ x y) z) (* t 2.0)))

rewrite559.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
78×sqrt-prod
54×times-frac
52×add-sqr-sqrt
24×distribute-lft-out--
22×add-cube-cbrt
21×pow1 swap-sqr
13×associate-*r* associate-*l*
12×distribute-lft-out
11×add-exp-log add-cbrt-cube
10×sqrt-pow1 pow1/2
8×difference-of-squares
7×div-inv
6×sqrt-div associate-/l*
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square div-exp prod-exp cbrt-unprod associate-/l/
1×pow2 frac-times flip3-- frac-2neg pow-plus sqrt-unprod div-sub associate-*r/ associate-*l/ clear-num associate-/r* rem-square-sqrt *-commutative flip--
Counts
4 → 159
Calls
4 calls:
132.0ms
(/ (- (+ x y) z) (* t 2.0))
274.0ms
(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
69.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))
73.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))

series712.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ (- (+ x y) z) (* t 2.0))
265.0ms
(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
184.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))
198.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))

simplify1.8s

Counts
171 → 171
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01873180
14472331
223992140
done50002099

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes535.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11213
done1213

end0.0ms

sample1.7s

Algorithm
intervals
Results
893.0ms10870×body80valid