Details

Time bar (total: 4.7s)

analyze898.0ms

Algorithm
search

sample28.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms92×body80invalid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
6.0ms
(* y (- z t))
4.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(/ (* y (- z t)) a)

series34.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z t))
15.0ms
(+ x (/ (* y (- z t)) a))
12.0ms
(/ (* y (- z t)) a)

simplify37.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0297325
11236280
25001280

prune90.0ms

Filtered
45 candidates to 70 candidates (-55.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New64670
Fresh000
Picked011
Done000
Total64771

Merged error: 0.0b

Counts
71 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
6.3b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
19.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
21.0ms
(cbrt a)
24.0ms
(cbrt a)
18.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0500954
12500845
25001783

prune119.0ms

Filtered
84 candidates to 116 candidates (-38.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh145
Picked011
Done011
Total1167123

Merged error: 0.0b

Counts
123 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (* (* y (- z t)) (/ 1 a)))
5.0b
(* (* y (- z t)) (/ 1 a))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
18×associate-*r*
17×add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×div-exp associate-*l* pow-prod-down
3×flip3-- flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative
1×+-commutative flip3-+ sum-log un-div-inv flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 79
Calls
3 calls:
6.0ms
(* y (- z t))
3.0ms
(+ x (* (* y (- z t)) (/ 1 a)))
11.0ms
(* (* y (- z t)) (/ 1 a))

series34.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z t))
16.0ms
(+ x (* (* y (- z t)) (/ 1 a)))
12.0ms
(* (* y (- z t)) (/ 1 a))

simplify58.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0424472
12166394
25002380

prune96.0ms

Filtered
52 candidates to 88 candidates (-69.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New87188
Fresh044
Picked011
Done022
Total87895

Merged error: 0.0b

Counts
95 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (* (* y (- z t)) (/ 1 a))))
5.0b
(* (* y (- z t)) (/ 1 a))
5.0b
(* (* y (- z t)) (/ 1 a))
5.0b
(* (* y (- z t)) (/ 1 a))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
70×add-exp-log
40×add-cbrt-cube
39×associate-*r*
36×prod-exp
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×pow1
18×cbrt-unprod
15×associate-*r/
12×div-exp
9×pow-prod-down
6×cbrt-undiv frac-times rec-exp flip3-- 1-exp associate-*l/ flip--
4×add-log-exp
3×cbrt-prod associate-*l* un-div-inv *-commutative div-inv
2×cbrt-div
1×flip3-+ pow1/3 flip-+
Counts
4 → 139
Calls
4 calls:
2.0ms
(cbrt (+ x (* (* y (- z t)) (/ 1 a))))
10.0ms
(* (* y (- z t)) (/ 1 a))
10.0ms
(* (* y (- z t)) (/ 1 a))
10.0ms
(* (* y (- z t)) (/ 1 a))

series101.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(cbrt (+ x (* (* y (- z t)) (/ 1 a))))
11.0ms
(* (* y (- z t)) (/ 1 a))
12.0ms
(* (* y (- z t)) (/ 1 a))
15.0ms
(* (* y (- z t)) (/ 1 a))

simplify63.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0482973
12091831
25002767

prune205.0ms

Filtered
89 candidates to 151 candidates (-69.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1501151
Fresh044
Picked101
Done033
Total1518159

Merged error: 0.0b

Counts
159 → 8

regimes960.0ms

Accuracy

89.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02817
12817

end0.0ms

analyze902.0ms

Algorithm
search

sample727.0ms

Algorithm
intervals
Results
308.0ms8000×body80valid
94.0ms2553×body80invalid

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