Details

Time bar (total: 2.9s)

analyze636.0ms

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
17.2%82.7%0.2%9
22.6%77.2%0.2%10
25.7%74.1%0.2%11
28.3%69.9%1.9%12
40.1%55.3%4.6%13
44.4%49.9%5.8%14

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms59×body80invalid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
07339
17339

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
5.8b
(* (- y x) (/ z t))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
7.0ms
(+ x (* (- y x) (/ z t)))
9.0ms
(* (- y x) (/ z t))

series23.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ x (* (- y x) (/ z t)))
12.0ms
(* (- y x) (/ z t))

simplify44.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05329557

prune90.0ms

Filtered
39 candidates to 55 candidates (-41.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New46955
Fresh000
Picked011
Done000
Total461056

Merged error: 0b

Counts
56 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
9.6b
(cbrt (/ z t))
9.6b
(cbrt (/ z t))
9.6b
(cbrt (/ z t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
29×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
26×add-cube-cbrt
15×cbrt-div
9×pow1 add-exp-log frac-times
7×add-cbrt-cube
6×associate-*r/
5×associate-*l* associate-*l/
4×flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod div-inv
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
13.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))

series83.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
13.0ms
(cbrt (/ z t))
13.0ms
(cbrt (/ z t))
13.0ms
(cbrt (/ z t))

simplify83.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049171044
149171044

prune131.0ms

Filtered
84 candidates to 110 candidates (-31.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1100110
Fresh088
Picked011
Done011
Total11010120

Merged error: 0b

Counts
120 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

5.8b
(* (- y x) (/ z t))
7.3b
(cbrt (* (- y x) (/ z t)))
7.3b
(cbrt (* (- y x) (/ z t)))
7.3b
(cbrt (* (- y x) (/ z t)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×cbrt-div
14×*-un-lft-identity
13×associate-*r*
12×add-cube-cbrt
10×times-frac
9×add-exp-log add-cbrt-cube
8×frac-times flip3-- associate-*l/ flip--
6×pow1
5×associate-*l*
4×associate-*r/ add-log-exp
3×cbrt-prod pow1/3
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 80
Calls
4 calls:
9.0ms
(* (- y x) (/ z t))
6.0ms
(cbrt (* (- y x) (/ z t)))
8.0ms
(cbrt (* (- y x) (/ z t)))
6.0ms
(cbrt (* (- y x) (/ z t)))

series126.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (- y x) (/ z t))
37.0ms
(cbrt (* (- y x) (/ z t)))
39.0ms
(cbrt (* (- y x) (/ z t)))
37.0ms
(cbrt (* (- y x) (/ z t)))

simplify43.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050461099

prune132.0ms

Filtered
77 candidates to 92 candidates (-19.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh077
Picked011
Done022
Total9210102

Merged error: 0b

Counts
102 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
3.9b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
9×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
17.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt t)
24.0ms
(cbrt t)
22.0ms
(cbrt t)
17.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify41.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050811017

prune77.0ms

Filtered
72 candidates to 106 candidates (-47.2%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1060106
Fresh066
Picked011
Done033
Total10610116

Merged error: 0b

Counts
116 → 10

regimes564.0ms

Accuracy

29.9% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.1b

bsearch17.0ms

Steps
ItersRangePoint
5
1.8203445554484207e+65
7.237888600524887e+65
1.9185651848884492e+65
4
-208571.1841984717
-114951.30816072988
-205141.79145231508

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03427
13427

end0.0ms

sample563.0ms

Algorithm
intervals
Results
247.0ms8000×body80valid
72.0ms2050×body80invalid

Profiling

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