Details

Time bar (total: 4.2s)

sample25.0ms

Algorithm
intervals
Results
8.0ms246×body80valid
2.0ms14×body640valid
1.0ms7×body1280valid
1.0ms12×body160valid
1.0ms7×body320valid

simplify123.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0226
1526
21096
31956
44456
58286
614346
725206
848306
950016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
2.6b
(- (+ x y) (/ (* (- z t) y) (- a t)))
10.7b
(/ (* (- z t) y) (- a t))

rewrite51.0ms

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:
10.0ms
(* (- z t) y)
28.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
9.0ms
(/ (* (- z t) y) (- a t))

series205.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* (- z t) y)
111.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
64.0ms
(/ (* (- z t) y) (- a t))

simplify50.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0383461
11704422
25001422

prune202.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
4.3b
(- (+ x y) (/ (- z t) (/ (- a t) y)))
12.5b
(/ (- z t) (/ (- a t) y))

rewrite96.0ms

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:
7.0ms
(/ (- a t) y)
61.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
15.0ms
(/ (- z t) (/ (- a t) y))

series240.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- a t) y)
112.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
101.0ms
(/ (- z t) (/ (- a t) y))

simplify88.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08531851
133261798
250011798

prune518.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
5.8b
(- y (/ (- z t) (/ (- a t) y)))
12.5b
(/ (- z t) (/ (- a t) y))

rewrite75.0ms

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:
7.0ms
(/ (- a t) y)
43.0ms
(- y (/ (- z t) (/ (- a t) y)))
15.0ms
(/ (- z t) (/ (- a t) y))

series209.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- a t) y)
81.0ms
(- y (/ (- z t) (/ (- a t) y)))
102.0ms
(/ (- z t) (/ (- a t) y))

simplify80.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07731773
129751720
250011720

prune512.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.7b
(* y (- 1 (/ (- z t) (- a t))))
2.4b
(- 1 (/ (- z t) (- a t)))

rewrite161.0ms

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:
10.0ms
(/ (- z t) (- a t))
116.0ms
(* y (- 1 (/ (- z t) (- a t))))
31.0ms
(- 1 (/ (- z t) (- a t)))

series214.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- z t) (- a t))
98.0ms
(* y (- 1 (/ (- z t) (- a t))))
67.0ms
(- 1 (/ (- z t) (- a t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0386711
11432667
25001667

prune258.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.8b

regimes326.0ms

Accuracy

40.3% (3.0b remaining)

Error of 6.0b against oracle of 3.1b and baseline of 8.0b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04342
14342

end0.0ms

sample673.0ms

Algorithm
intervals
Results
255.0ms7411×body80valid
56.0ms454×body640valid
36.0ms404×body320valid
35.0ms235×body1280valid
14.0ms227×body160valid
3.0ms17×body2560valid