Details

Time bar (total: 3.5s)

sample26.0ms

Algorithm
intervals
Results
9.0ms237×body80valid
2.0ms11×body1280valid
2.0ms13×body640valid
1.0ms9×body320valid
1.0ms10×body160valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0226
1526
21096
31956
44456
58286
614346
725206
848306
950016

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.3b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
2.5b
(- (+ x y) (/ (* (- z t) y) (- a t)))
11.5b
(/ (* (- z t) y) (- a t))

rewrite25.0ms

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:
6.0ms
(* (- z t) y)
9.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
8.0ms
(/ (* (- z t) y) (- a t))

series201.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (- z t) y)
109.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
63.0ms
(/ (* (- z t) y) (- a t))

simplify46.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0383461
11704422
25001422

prune188.0ms

Filtered
79 candidates to 56 candidates (70.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New691079
Fresh000
Picked101
Done000
Total701080

Merged error: 3.0b

Counts
80 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
3.3b
(- (+ x y) (* (- z t) (/ y (- a t))))
10.5b
(* (- z t) (/ y (- a t)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log frac-sub add-cbrt-cube
9×flip3-- flip--
8×distribute-lft-out-- add-log-exp difference-of-squares
6×frac-times associate-*l/
5×pow1 flip3-+ associate-*l* associate-/r* flip-+
4×associate-/r/
3×associate-*r/ associate-/l*
2×cbrt-undiv diff-log div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×sub-neg frac-2neg pow-prod-down associate--l+ clear-num sum-log *-commutative
Counts
3 → 107
Calls
3 calls:
5.0ms
(/ y (- a t))
6.0ms
(- (+ x y) (* (- z t) (/ y (- a t))))
12.0ms
(* (- z t) (/ y (- a t)))

series201.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ y (- a t))
110.0ms
(- (+ x y) (* (- z t) (/ y (- a t))))
63.0ms
(* (- z t) (/ y (- a t)))

simplify68.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0559844
12676803
25001803

prune267.0ms

Filtered
116 candidates to 84 candidates (72.4%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1115116
Fresh279
Picked101
Done000
Total11412126

Merged error: 2.9b

Counts
126 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
4.9b
(- y (* (- z t) (/ y (- a t))))
10.5b
(* (- z t) (/ y (- a t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 flip3-- associate-*l* associate-/r* flip-- add-log-exp
4×associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 95
Calls
3 calls:
5.0ms
(/ y (- a t))
3.0ms
(- y (* (- z t) (/ y (- a t))))
12.0ms
(* (- z t) (/ y (- a t)))

series167.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ y (- a t))
81.0ms
(- y (* (- z t) (/ y (- a t))))
59.0ms
(* (- z t) (/ y (- a t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0342578
11560541
25001541

prune228.0ms

Filtered
104 candidates to 76 candidates (73.1%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1022104
Fresh11011
Picked011
Done000
Total10313116

Merged error: 2.8b

Counts
116 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
3.3b
(- (+ x y) (/ (- z t) (/ (- a t) y)))
11.0b
(/ (- z t) (/ (- a t) y))

rewrite67.0ms

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:
5.0ms
(/ (- a t) y)
31.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
14.0ms
(/ (- z t) (/ (- a t) y))

series261.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (- a t) y)
109.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
127.0ms
(/ (- z t) (/ (- a t) y))

simplify80.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
08531851
133261798
250011798

prune402.0ms

Filtered
206 candidates to 138 candidates (67.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2024206
Fresh6511
Picked101
Done101
Total2109219

Merged error: 2.8b

Counts
219 → 9

regimes179.0ms

Accuracy

0% (5.0b remaining)

Error of 9.0b against oracle of 4.0b and baseline of 9.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample813.0ms

Algorithm
intervals
Results
324.0ms7304×body80valid
77.0ms457×body640valid
52.0ms264×body1280valid
49.0ms400×body320valid
23.0ms285×body160valid
2.0ms10×body2560valid