Details

Time bar (total: 16.0s)

sample34.0ms

Algorithm
intervals
Results
13.0ms334×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite121.0ms

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:
119.0ms
(/ (- (+ x y) z) (* t 2.0))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify2.4s

Counts
35 → 35
Iterations

Useful iterations: 3 (884.0ms)

IterNodesCost
080438
1206430
2754374
34216372
done5000372

prune120.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

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)))

rewrite877.0ms

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:
25.0ms
(+ (/ y t) (/ x t))
230.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
580.0ms
(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))

series119.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (/ y t) (/ x t))
46.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
44.0ms
(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))

simplify2.6s

Counts
425 → 425
Iterations

Useful iterations: 2 (937.0ms)

IterNodesCost
051017156
1119415383
2498111773
done500011773

prune942.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (- (+ x y) z) (/ 1 (* t 2.0)))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
10×prod-exp add-cbrt-cube
9×*-un-lft-identity
8×add-sqr-sqrt
7×associate-*r*
6×associate-*l*
4×add-cube-cbrt div-exp cbrt-unprod
3×pow1 times-frac
2×cbrt-undiv frac-times rec-exp flip3-- 1-exp associate-*l/ flip-- distribute-lft-out--
1×expm1-log1p-u associate-*r/ pow-prod-down un-div-inv *-commutative log1p-expm1-u div-inv distribute-lft-out add-log-exp difference-of-squares unswap-sqr
Counts
1 → 41
Calls
1 calls:
171.0ms
(* (- (+ x y) z) (/ 1 (* t 2.0)))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (- (+ x y) z) (/ 1 (* t 2.0)))

simplify996.0ms

Counts
44 → 44
Iterations

Useful iterations: 2 (189.0ms)

IterNodesCost
0109639
1303591
21630465
done5000465

prune106.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (- (+ x y) z) (* t 2.0))) (cbrt (/ (- (+ x y) z) (* t 2.0))))
1.3b
(cbrt (/ (- (+ x y) z) (* t 2.0)))
1.3b
(cbrt (/ (- (+ x y) z) (* t 2.0)))
1.3b
(cbrt (/ (- (+ x y) z) (* t 2.0)))

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
86×cbrt-prod
81×*-un-lft-identity
54×times-frac
44×add-sqr-sqrt
22×add-cube-cbrt distribute-lft-out--
19×swap-sqr
13×associate-*r* associate-*l*
11×pow1 distribute-lft-out
9×pow1/3
7×cbrt-div div-inv difference-of-squares
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 135
Calls
4 calls:
211.0ms
(* (cbrt (/ (- (+ x y) z) (* t 2.0))) (cbrt (/ (- (+ x y) z) (* t 2.0))))
20.0ms
(cbrt (/ (- (+ x y) z) (* t 2.0)))
20.0ms
(cbrt (/ (- (+ x y) z) (* t 2.0)))
22.0ms
(cbrt (/ (- (+ x y) z) (* t 2.0)))

series1.5s

Counts
4 → 12
Calls
4 calls:
509.0ms
(* (cbrt (/ (- (+ x y) z) (* t 2.0))) (cbrt (/ (- (+ x y) z) (* t 2.0))))
329.0ms
(cbrt (/ (- (+ x y) z) (* t 2.0)))
348.0ms
(cbrt (/ (- (+ x y) z) (* t 2.0)))
348.0ms
(cbrt (/ (- (+ x y) z) (* t 2.0)))

simplify802.0ms

Counts
147 → 147
Iterations

Useful iterations: done (796.0ms)

IterNodesCost
01793121
13922977
213052803
done50002610

prune745.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes311.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11313
done1313

end0.0ms

sample1.2s

Algorithm
intervals
Results
566.0ms10831×body80valid