Details

Time bar (total: 7.0s)

sample33.0ms

Algorithm
intervals
Results
8.0ms237×body80valid
2.0ms14×body640valid
1.0ms11×body320valid
1.0ms6×body1280valid
0.0ms7×body160valid
0.0ms1×body2560valid

simplify120.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0226
1526
21096
31956
44456
58286
614346
725206
848306
950016

prune8.0ms

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: 15.4b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
2.3b
(- (+ x y) (/ (* (- z t) y) (- a t)))
10.1b
(/ (* (- z t) y) (- a t))

rewrite27.0ms

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

series193.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* (- z t) y)
105.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
61.0ms
(/ (* (- z t) y) (- a t))

simplify44.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0383461
11704422
25001422

prune353.0ms

Filtered
79 candidates to 56 candidates (70.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New70979
Fresh000
Picked101
Done000
Total71980

Merged error: 4.4b

Counts
80 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(* (cbrt (- a t)) (cbrt (- a t)))
3.4b
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
6.4b
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
54×*-un-lft-identity
50×cbrt-prod
38×associate-*r*
36×times-frac
30×add-cube-cbrt
28×cbrt-div
27×add-exp-log
25×associate-*l*
18×add-cbrt-cube
15×flip3-- flip--
13×pow1
11×frac-times distribute-lft-out--
10×swap-sqr associate-/r/ unswap-sqr
9×prod-exp cbrt-unprod add-log-exp difference-of-squares
7×cbrt-undiv pow1/3 associate-*r/ div-exp associate-*l/
6×frac-sub
3×flip3-+ pow-prod-down flip-+
2×diff-log pow-sqr *-commutative pow-prod-up div-inv
1×pow2 sub-neg pow-plus associate--l+ sum-log
Counts
4 → 168
Calls
4 calls:
3.0ms
(cbrt (- a t))
11.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
30.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
6.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series466.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- a t))
117.0ms
(* (cbrt (- a t)) (cbrt (- a t)))
95.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
112.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify121.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
08862068
143261890
250031779

prune825.0ms

Filtered
180 candidates to 126 candidates (70.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1773180
Fresh178
Picked011
Done000
Total17811189

Merged error: 4.4b

Counts
189 → 11

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.0b
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))
7.9b
(- (+ 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))))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
32×cbrt-div
22×add-sqr-sqrt add-cbrt-cube
19×frac-times
17×associate-*l*
16×times-frac associate-*r* associate-/r/
15×associate-*l/ prod-exp cbrt-unprod
14×frac-sub
13×flip3-- flip--
12×cbrt-undiv *-un-lft-identity div-exp
11×associate-*r/
10×add-cube-cbrt
9×cbrt-prod add-log-exp
7×flip3-+ flip-+
6×pow1 unswap-sqr
2×pow1/3 diff-log div-inv
1×sub-neg pow-prod-down associate--l+ sum-log *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 119
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
27.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))
7.0ms
(- (+ 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))))))

series977.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt y)
177.0ms
(cbrt y)
467.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))
163.0ms
(- (+ 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))))))

simplify121.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
09952863
143942493
250012438

prune817.0ms

Filtered
131 candidates to 100 candidates (76.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1301131
Fresh099
Picked011
Done011
Total13012142

Merged error: 4.4b

Counts
142 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
4.5b
(- (+ x y) (/ (- z t) (/ (- a t) y)))
12.9b
(/ (- z t) (/ (- a t) y))

rewrite65.0ms

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:
6.0ms
(/ (- a t) y)
35.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
12.0ms
(/ (- z t) (/ (- a t) y))

series229.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (- a t) y)
107.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
97.0ms
(/ (- z t) (/ (- a t) y))

simplify87.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08531851
133261798
250011798

prune753.0ms

Filtered
206 candidates to 138 candidates (67.0%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New2051206
Fresh279
Picked011
Done022
Total20711218

Merged error: 4.4b

Counts
218 → 11

regimes590.0ms

Accuracy

29.9% (5.4b remaining)

Error of 9.4b against oracle of 3.9b and baseline of 11.7b

bsearch109.0ms

Steps
ItersRangePoint
9
4.166587233023692e-214
3.020865046852297e-207
2.430920150558392e-207
9
-1.0795552794892863e-75
-5.467794281488863e-83
-6.01489719976399e-83

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03016
13016

end0.0ms

sample893.0ms

Algorithm
intervals
Results
269.0ms7416×body80valid
64.0ms467×body640valid
43.0ms259×body1280valid
39.0ms386×body320valid
19.0ms255×body160valid
5.0ms22×body2560valid

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