Details

Time bar (total: 4.1s)

analyze853.0ms

Algorithm
search

sample27.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms83×body80invalid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
5.7b
(/ (* y (- z t)) a)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 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/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
11.0ms
(/ (* y (- z t)) a)

simplify33.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0231226
11033189
25002189

prune74.0ms

Filtered
35 candidates to 55 candidates (-57.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New49655
Fresh000
Picked011
Done000
Total49756

Merged error: 0.0b

Counts
56 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
4.7b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite28.0ms

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)
3.0ms
(cbrt a)
1.0ms
(cbrt a)
19.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt a)
22.0ms
(cbrt a)
22.0ms
(cbrt a)
17.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0500954
12500845
25001783

prune116.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh055
Picked011
Done011
Total1167123

Merged error: 0.0b

Counts
123 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
5.7b
(* (* y (- z t)) (/ 1 a))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×associate-*r*
16×add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity prod-exp
11×add-cube-cbrt
9×pow1 times-frac
7×associate-*r/ cbrt-unprod
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 add-log-exp
1×un-div-inv div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
6.0ms
(* y (- z t))
10.0ms
(* (* y (- z t)) (/ 1 a))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* y (- z t))
11.0ms
(* (* y (- z t)) (/ 1 a))

simplify47.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0358362
11927294
25001282

prune81.0ms

Filtered
41 candidates to 74 candidates (-80.5%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New72274
Fresh044
Picked011
Done022
Total72981

Merged error: 0.0b

Counts
81 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
7.4b
(/ y (/ a (- z t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series20.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ a (- z t))
13.0ms
(/ y (/ a (- z t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04811051
121901013
250021004

prune122.0ms

Filtered
107 candidates to 145 candidates (-35.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1423145
Fresh325
Picked101
Done213
Total1486154

Merged error: 0b

Counts
154 → 6

regimes687.0ms

Accuracy

75.7% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02813
12813

end0.0ms

analyze870.0ms

Algorithm
search

sample723.0ms

Algorithm
intervals
Results
287.0ms8000×body80valid
90.0ms2625×body80invalid

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