Details

Time bar (total: 3.5s)

analyze892.0ms

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
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
26.2%73.6%0.2%14

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms20×body80invalid

simplify191.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (189.0ms)

IterNodesCost
0560011

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 113
Calls
3 calls:
3.0ms
(+ x (* y (/ (- z t) (- a t))))
8.0ms
(/ (- z t) (- a t))
13.0ms
(* y (/ (- z t) (- a t)))

series54.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ x (* y (/ (- z t) (- a t))))
9.0ms
(/ (- z t) (- a t))
16.0ms
(* y (/ (- z t) (- a t)))

simplify41.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049841366
149841366

prune131.0ms

Filtered
82 candidates to 122 candidates (-48.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1166122
Fresh011
Picked011
Done000
Total1168124

Merged error: 0b

Counts
124 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))

series105.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (- a t))
26.0ms
(cbrt (- z t))
26.0ms
(cbrt (- z t))
26.0ms
(cbrt (- z t))

simplify40.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05111580

prune99.0ms

Filtered
56 candidates to 72 candidates (-28.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh066
Picked011
Done011
Total72880

Merged error: 0b

Counts
80 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
4.2b
(cbrt (/ (- z t) (- a t)))
4.2b
(cbrt (/ (- z t) (- a t)))
4.2b
(cbrt (/ (- z t) (- a t)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
98×*-un-lft-identity
93×cbrt-prod
75×times-frac
38×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
6×associate-/r/
4×associate-*r/ add-log-exp
3×flip3-- pow1/3 associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 142
Calls
4 calls:
21.0ms
(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
7.0ms
(cbrt (/ (- z t) (- a t)))
7.0ms
(cbrt (/ (- z t) (- a t)))
7.0ms
(cbrt (/ (- z t) (- a t)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
58.0ms
(cbrt (/ (- z t) (- a t)))
59.0ms
(cbrt (/ (- z t) (- a t)))
62.0ms
(cbrt (/ (- z t) (- a t)))

simplify72.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
053222380

prune157.0ms

Filtered
108 candidates to 154 candidates (-42.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1540154
Fresh055
Picked011
Done022
Total1548162

Merged error: 0b

Counts
162 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- a t)))
0.0b
(* y (- z t))
10.3b
(/ (* y (- z t)) (- a t))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-/r* add-log-exp
4×associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 65
Calls
3 calls:
7.0ms
(+ x (/ (* y (- z t)) (- a t)))
6.0ms
(* y (- z t))
9.0ms
(/ (* y (- z t)) (- a t))

series52.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ x (/ (* y (- z t)) (- a t)))
9.0ms
(* y (- z t))
17.0ms
(/ (* y (- z t)) (- a t))

simplify39.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05392699

prune63.0ms

Filtered
51 candidates to 74 candidates (-45.1%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New73174
Fresh224
Picked011
Done033
Total75782

Merged error: 0b

Counts
82 → 7

regimes520.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03233
13233

end0.0ms

sample589.0ms

Algorithm
intervals
Results
296.0ms7996×body80valid
24.0ms712×body80invalid
0.0ms1×body2560valid
0.0ms3×body160valid

Profiling

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