Details

Time bar (total: 15.6s)

sample56.0ms

Algorithm
intervals
Results
23.0ms241×body80valid
3.0ms12×body640valid
2.0ms11×body320valid
2.0ms5×body1280valid
1.0ms8×body160valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01113
12213
25213
310813
422213
564113
6301613
done500113

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
2.0b
(- (+ x y) (/ (* (- z t) y) (- a t)))
11.7b
(/ (* (- z t) y) (- a t))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
17×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* distribute-lft-out--
4×flip3-- associate-*l/ flip-- difference-of-squares
3×associate-*r*
2×cbrt-undiv diff-log div-exp prod-exp associate-/r/ frac-sub cbrt-unprod associate-/l/
1×sub-neg frac-2neg flip3-+ pow-prod-down associate--l+ clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 70
Calls
3 calls:
43.0ms
(* (- z t) y)
97.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
26.0ms
(/ (* (- z t) y) (- a t))

series341.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* (- z t) y)
198.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
109.0ms
(/ (* (- z t) y) (- a t))

simplify1.8s

Counts
79 → 79
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01501010
1392951
21972879
done5004873

prune326.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.2b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
2.5b
(- (+ x y) (/ (- z t) (/ (- a t) y)))
10.1b
(/ (- z t) (/ (- a t) y))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
180×add-sqr-sqrt
176×*-un-lft-identity
87×add-cube-cbrt
45×difference-of-squares
44×distribute-lft-out--
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 flip3-- div-sub flip--
2×frac-2neg diff-log clear-num frac-sub
1×sub-neg flip3-+ associate--l+ sum-log associate-/r/ flip-+ distribute-lft-out associate--r-
Counts
3 → 197
Calls
3 calls:
20.0ms
(/ (- a t) y)
151.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
54.0ms
(/ (- z t) (/ (- a t) y))

series390.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- a t) y)
181.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
161.0ms
(/ (- z t) (/ (- a t) y))

simplify2.0s

Counts
206 → 206
Iterations

Useful iterations: 2 (575.0ms)

IterNodesCost
03033656
19373463
245013319
done50003319

prune727.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
4.3b
(- y (/ (- z t) (/ (- a t) y)))
10.1b
(/ (- z t) (/ (- a t) y))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
180×add-sqr-sqrt
174×*-un-lft-identity
87×add-cube-cbrt
45×difference-of-squares
43×distribute-lft-out--
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 flip3-- div-sub flip--
2×frac-2neg clear-num associate-/r/
1×sub-neg distribute-rgt-out-- diff-log associate--r-
Counts
3 → 193
Calls
3 calls:
19.0ms
(/ (- a t) y)
71.0ms
(- y (/ (- z t) (/ (- a t) y)))
35.0ms
(/ (- z t) (/ (- a t) y))

series291.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ (- a t) y)
112.0ms
(- y (/ (- z t) (/ (- a t) y)))
135.0ms
(/ (- z t) (/ (- a t) y))

simplify1.7s

Counts
202 → 202
Iterations

Useful iterations: 2 (519.0ms)

IterNodesCost
02773491
18573304
241383162
done50013162

prune659.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.9b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.3b
(* y (- 1 (/ (- z t) (- a t))))
2.7b
(- 1 (/ (- z t) (- a t)))

rewrite329.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
49×*-un-lft-identity
29×times-frac
20×difference-of-squares
17×add-cube-cbrt
14×distribute-lft-out--
8×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×flip3-- div-sub flip--
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* associate--r-
2×associate-*r/ associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 101
Calls
3 calls:
27.0ms
(/ (- z t) (- a t))
227.0ms
(* y (- 1 (/ (- z t) (- a t))))
71.0ms
(- 1 (/ (- z t) (- a t)))

series255.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ (- z t) (- a t))
111.0ms
(* y (- 1 (/ (- z t) (- a t))))
86.0ms
(- 1 (/ (- z t) (- a t)))

simplify935.0ms

Counts
110 → 110
Iterations

Useful iterations: done (931.0ms)

IterNodesCost
01621480
14251401
215671327
done50021325

prune293.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.9b

regimes375.0ms

Accuracy

11.9% (4.5b remaining)

Error of 7.9b against oracle of 3.4b and baseline of 8.5b

bsearch118.0ms

Steps
ItersRangePoint
8
4.939518845348872e-48
4.0147992178466876e-45
6.772624804214055e-48
9
-2.3186634889325253e+146
-5.380568667662366e+139
-9.4418859001409e+140

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02643
13443
done3443

end0.0ms

sample1.7s

Algorithm
intervals
Results
531.0ms7263×body80valid
440.0ms272×body1280valid
113.0ms470×body640valid
92.0ms421×body320valid
26.0ms272×body160valid
5.0ms16×body2560valid