Details

Time bar (total: 3.2s)

sample38.0ms

Algorithm
intervals
Results
9.0ms234×body80valid
6.0ms15×body640valid
2.0ms16×body320valid
1.0ms5×body1280valid
1.0ms10×body160valid

simplify119.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.9b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
2.6b
(- (+ x y) (/ (* (- z t) y) (- a t)))
10.4b
(/ (* (- 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))

series56.0ms

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

prune136.0ms

Filtered
56 candidates to 79 candidates (-41.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New671279
Fresh000
Picked101
Done000
Total681280

Merged error: 6.1b

Counts
80 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
3.8b
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
7.8b
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite43.0ms

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))
27.0ms
(* (/ (- 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)))))

series110.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- a t))
25.0ms
(cbrt (- a t))
21.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
37.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify88.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07931744
133531585
250011502

prune202.0ms

Filtered
104 candidates to 139 candidates (-33.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1327139
Fresh5611
Picked101
Done000
Total13813151

Merged error: 5.9b

Counts
151 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
3.8b
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
14.5b
(- y (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite41.0ms

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--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
5×frac-times
3×associate-*r/ associate-*l/
2×pow1/3 div-inv
1×sub-neg diff-log pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
28.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
3.0ms
(- y (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series96.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a t))
25.0ms
(cbrt (- a t))
24.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
22.0ms
(- y (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify75.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06651532
128231381
250011298

prune188.0ms

Filtered
99 candidates to 131 candidates (-32.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1292131
Fresh01212
Picked101
Done000
Total13014144

Merged error: 5.4b

Counts
144 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
3.4b
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
5.2b
(- y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
35×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
14×associate-*l*
9×pow1 add-cube-cbrt
8×times-frac
6×cbrt-div add-log-exp
5×frac-times associate-*r/
4×flip3-- flip--
3×pow-prod-down associate-*l/ distribute-lft-out-- difference-of-squares
2×pow1/3 associate-/r/
1×sub-neg diff-log associate-*r* *-commutative div-inv
Counts
4 → 104
Calls
4 calls:
5.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
31.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
3.0ms
(- y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (- a t))
25.0ms
(cbrt (- a t))
22.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
23.0ms
(- y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

simplify71.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06071975
123591566
250011402

prune100.0ms

Filtered
69 candidates to 116 candidates (-68.1%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1133116
Fresh11213
Picked011
Done000
Total11416130

Merged error: 5.4b

Counts
130 → 16

regimes647.0ms

Accuracy

0% (4.0b remaining)

Error of 7.9b against oracle of 3.9b and baseline of 7.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02020
12020

end0.0ms

sample934.0ms

Algorithm
intervals
Results
291.0ms7362×body80valid
69.0ms455×body640valid
51.0ms266×body1280valid
43.0ms386×body320valid
19.0ms253×body160valid
2.0ms8×body2560valid

Profiling

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