Details

Time bar (total: 3.2s)

sample36.0ms

Algorithm
intervals
Results
9.0ms240×body80valid
2.0ms14×body640valid
1.0ms8×body1280valid
1.0ms12×body320valid
1.0ms11×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

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.7b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
2.7b
(- (+ x y) (/ (* (- z t) y) (- a t)))
10.7b
(/ (* (- 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))

series55.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (- z t) y)
35.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
15.0ms
(/ (* (- z t) y) (- a t))

simplify43.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0383461
11704422
25001422

prune115.0ms

Filtered
79 candidates to 56 candidates (29.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New71879
Fresh000
Picked101
Done000
Total72880

Merged error: 4.4b

Counts
80 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
3.6b
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
7.3b
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
36×times-frac
35×*-un-lft-identity
30×associate-*r*
27×cbrt-prod
25×add-exp-log
23×add-cube-cbrt
18×cbrt-div add-cbrt-cube
17×associate-*l*
10×flip3-- associate-/r/ flip--
9×add-log-exp
8×prod-exp cbrt-unprod
7×cbrt-undiv frac-times div-exp
6×pow1 frac-sub distribute-lft-out-- difference-of-squares unswap-sqr
5×associate-*r/ associate-*l/
3×flip3-+ flip-+
2×pow1/3 diff-log div-inv
1×sub-neg pow-prod-down associate--l+ sum-log *-commutative
Counts
4 → 127
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
29.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
5.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series144.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a t))
43.0ms
(cbrt (- a t))
41.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
34.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify83.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07931744
133531585
250011502

prune367.0ms

Filtered
139 candidates to 104 candidates (25.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1327139
Fresh257
Picked101
Done000
Total13512147

Merged error: 4.4b

Counts
147 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
8.3b
(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×frac-sub
10×frac-times associate-*l/
9×cbrt-prod add-log-exp
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
6×associate-*r/
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
2×diff-log
1×sub-neg flip3-- associate--l+ sum-log flip--
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

series112.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
21.0ms
(cbrt y)
21.0ms
(cbrt y)
46.0ms
(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

simplify60.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04381340
117131275
250021236

prune139.0ms

Filtered
73 candidates to 59 candidates (19.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New70373
Fresh11011
Picked101
Done000
Total721385

Merged error: 4.4b

Counts
85 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- a t))
3.4b
(- (+ x y) (* (- z t) (/ y (- a t))))
7.7b
(* (- z t) (/ y (- a t)))

rewrite29.0ms

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:
7.0ms
(/ y (- a t))
6.0ms
(- (+ x y) (* (- z t) (/ y (- a t))))
13.0ms
(* (- z t) (/ y (- a t)))

series56.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ y (- a t))
34.0ms
(- (+ x y) (* (- z t) (/ y (- a t))))
15.0ms
(* (- z t) (/ y (- a t)))

simplify67.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0559844
12676803
25001803

prune99.0ms

Filtered
116 candidates to 85 candidates (26.7%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1115116
Fresh11112
Picked101
Done000
Total11316129

Merged error: 4.4b

Counts
129 → 16

regimes620.0ms

Accuracy

0% (5.2b remaining)

Error of 9.0b against oracle of 3.9b and baseline of 9.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136
1136

end0.0ms

sample885.0ms

Algorithm
intervals
Results
271.0ms7377×body80valid
66.0ms462×body640valid
48.0ms410×body320valid
45.0ms234×body1280valid
17.0ms238×body160valid
3.0ms14×body2560valid

Profiling

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