Details

Time bar (total: 11.4s)

sample34.0ms

Algorithm
intervals
Results
16.0ms340×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite83.0ms

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:
81.0ms
(/ (- (+ x y) z) (* t 2.0))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify1.9s

Counts
35 → 35
Iterations

Useful iterations: 3 (862.0ms)

IterNodesCost
080438
1206430
2754374
34216372
done5000372

prune70.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite902.0ms

Algorithm
rewrite-expression-head
Rules
664×*-un-lft-identity
491×times-frac
320×add-sqr-sqrt
312×prod-diff
308×add-cube-cbrt
172×distribute-lft-out
107×distribute-rgt-in distribute-lft-in div-inv
41×distribute-rgt-out
13×fma-def
10×associate-*r* distribute-lft-out-- add-log-exp
8×fma-neg
6×frac-sub
5×pow1 add-exp-log associate-*r/ add-cbrt-cube
4×difference-of-squares
3×expm1-log1p-u sub-neg flip3-+ associate-*l* frac-add associate--l+ flip-+ log1p-expm1-u
2×flip3-- diff-log sum-log flip--
1×+-commutative pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 416
Calls
3 calls:
26.0ms
(+ (/ y t) (/ x t))
262.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
574.0ms
(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))

series92.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ (/ y t) (/ x t))
25.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
47.0ms
(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))

simplify2.6s

Counts
425 → 425
Iterations

Useful iterations: 2 (891.0ms)

IterNodesCost
051017156
1119415383
2498111773
done500011773

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (* t 2.0))
0.2b
(* (- (+ x y) z) (/ 1 (* t 2.0)))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
16×add-cbrt-cube
13×prod-exp
12×*-un-lft-identity
11×add-sqr-sqrt
8×div-exp
7×pow1 add-cube-cbrt associate-*r*
6×times-frac associate-*l*
5×cbrt-unprod
4×cbrt-undiv rec-exp 1-exp
3×associate-/l*
2×expm1-log1p-u frac-times flip3-- pow-flip pow-prod-down associate-*l/ flip-- log1p-expm1-u div-inv distribute-lft-out-- add-log-exp
1×frac-2neg associate-*r/ clear-num associate-/r* un-div-inv *-commutative distribute-lft-out inv-pow difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
11.0ms
(/ 1 (* t 2.0))
147.0ms
(* (- (+ x y) z) (/ 1 (* t 2.0)))

series67.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ 1 (* t 2.0))
49.0ms
(* (- (+ x y) z) (/ 1 (* t 2.0)))

simplify775.0ms

Counts
77 → 77
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
0121858
1326772
21825626
done5000626

prune156.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes107.0ms

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

sample959.0ms

Algorithm
intervals
Results
451.0ms10871×body80valid