Details

Time bar (total: 4.4s)

analyze933.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample32.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
3.0ms88×body80invalid

simplify40.0ms

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: 5.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
6.7b
(/ (* y (- z t)) a)

rewrite14.0ms

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))
6.0ms
(/ (* y (- z t)) a)

series22.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* y (- z t))
13.0ms
(/ (* y (- z t)) a)

simplify33.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0231226
11033189
25002189

prune72.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.3b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite36.0ms

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:
2.0ms
(cbrt a)
2.0ms
(cbrt a)
2.0ms
(cbrt a)
23.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
22.0ms
(cbrt a)
24.0ms
(cbrt a)
31.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0500954
12500845
25001783

prune120.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1142116
Fresh145
Picked101
Done011
Total1167123

Merged error: 0b

Counts
123 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.8b
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
35×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
9×pow1
6×times-frac
5×frac-times associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
18.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

series83.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt y)
24.0ms
(cbrt y)
22.0ms
(cbrt y)
13.0ms
(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

simplify59.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04681174
11915863
25001714

prune109.0ms

Filtered
56 candidates to 103 candidates (-83.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh055
Picked011
Done011
Total1037110

Merged error: 0b

Counts
110 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (- z t))
5.0b
(/ y (/ a (- z t)))

rewrite20.0ms

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))
8.0ms
(/ y (/ a (- z t)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ a (- z t))
12.0ms
(/ y (/ a (- z t)))

simplify55.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04811051
121901013
250021004

prune183.0ms

Filtered
108 candidates to 145 candidates (-34.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1441145
Fresh314
Picked011
Done022
Total1475152

Merged error: 0b

Counts
152 → 5

regimes632.0ms

Accuracy

65.7% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02515
12515

end0.0ms

analyze928.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample730.0ms

Algorithm
intervals
Results
310.0ms8000×body80valid
87.0ms2468×body80invalid

Profiling

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