Details

Time bar (total: 4.3s)

analyze1.0s

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
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.4%0.2%12
14.9%84.9%0.2%13
16.2%83.5%0.3%14

sample30.0ms

Algorithm
intervals
Results
7.0ms202×body80valid
2.0ms17×body640valid
2.0ms11×body1280valid
2.0ms45×body80invalid
1.0ms13×body320valid
1.0ms12×body160valid
0.0ms1×body2560valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
0491213
1491213

prune18.0ms

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: 12.4b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.4b
(* (- y x) (/ (- z t) (- a t)))
3.5b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ 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 → 119
Calls
3 calls:
7.0ms
(/ (- z t) (- a t))
16.0ms
(* (- y x) (/ (- z t) (- a t)))
4.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series93.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z t) (- a t))
32.0ms
(* (- y x) (/ (- z t) (- a t)))
52.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify42.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050681606

prune192.0ms

Filtered
87 candidates to 128 candidates (-47.1%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New11612128
Fresh011
Picked101
Done000
Total11713130

Merged error: 4.1b

Counts
130 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
2.4b
(* (- y x) (* (- z t) (/ 1 (- a t))))
5.4b
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
5.0ms
(/ 1 (- a t))
12.0ms
(* (- z t) (/ 1 (- a t)))
14.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
4.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series97.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (- a t))
10.0ms
(* (- z t) (/ 1 (- a t)))
32.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
51.0ms
(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
057481773

prune169.0ms

Filtered
95 candidates to 158 candidates (-66.3%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1562158
Fresh21012
Picked011
Done000
Total15813171

Merged error: 4.1b

Counts
171 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
2.4b
(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
10.3b
(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
82×frac-times
76×cbrt-div
56×flip3-- flip--
38×associate-*l/
32×associate-*r/
22×add-exp-log
16×add-cbrt-cube
13×pow1 add-sqr-sqrt *-un-lft-identity
11×prod-exp cbrt-unprod
10×cbrt-prod
7×add-cube-cbrt
6×pow-prod-down add-log-exp
5×associate-*l*
3×distribute-lft-out-- difference-of-squares
2×cbrt-undiv pow1/3 div-exp
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
4 → 121
Calls
4 calls:
5.0ms
(cbrt (- z t))
5.0ms
(cbrt (- z t))
40.0ms
(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
4.0ms
(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

series134.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- z t))
25.0ms
(cbrt (- z t))
33.0ms
(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
51.0ms
(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050062960

prune169.0ms

Filtered
88 candidates to 133 candidates (-51.1%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1330133
Fresh01111
Picked011
Done011
Total13313146

Merged error: 4.1b

Counts
146 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (- a t)))
0.6b
(cbrt (/ 1 (- a t)))
2.4b
(* (- y x) (* (* (- z t) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t)))))
10.3b
(+ x (* (- y x) (* (* (- z t) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t))))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
133×frac-times
110×cbrt-div
65×associate-*l/
62×associate-*r/
50×flip3-- flip--
42×cbrt-prod
37×add-sqr-sqrt *-un-lft-identity
30×times-frac
23×add-cube-cbrt
18×pow1 add-exp-log
13×add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
7×distribute-lft-out-- difference-of-squares
6×add-log-exp
5×associate-*l*
4×associate-/r/
2×pow1/3 div-inv
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
4 → 168
Calls
4 calls:
5.0ms
(cbrt (/ 1 (- a t)))
5.0ms
(cbrt (/ 1 (- a t)))
32.0ms
(* (- y x) (* (* (- z t) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t)))))
4.0ms
(+ x (* (- y x) (* (* (- z t) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t))))))

series154.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (/ 1 (- a t)))
28.0ms
(cbrt (/ 1 (- a t)))
32.0ms
(* (- y x) (* (* (- z t) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t)))))
67.0ms
(+ x (* (- y x) (* (* (- z t) (* (cbrt (/ 1 (- a t))) (cbrt (/ 1 (- a t))))) (cbrt (/ 1 (- a t))))))

simplify73.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
050393737

prune186.0ms

Filtered
97 candidates to 180 candidates (-85.6%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1791180
Fresh2810
Picked101
Done022
Total18211193

Merged error: 4.1b

Counts
193 → 11

regimes670.0ms

Accuracy

28.1% (6.0b remaining)

Error of 9.6b against oracle of 3.7b and baseline of 12.0b

bsearch42.0ms

Steps
ItersRangePoint
9
2.1055525070560304e-98
5.372826012267804e-90
7.092793367254986e-98
5
-1.0368049765222851e-121
-3.902228804921315e-122
-8.811147312754121e-122

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08537
18537

end0.0ms

sample804.0ms

Algorithm
intervals
Results
266.0ms6508×body80valid
80.0ms547×body640valid
52.0ms1274×body80invalid
46.0ms259×body1280valid
42.0ms401×body320valid
20.0ms273×body160valid
3.0ms12×body2560valid

Profiling

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