Details

Time bar (total: 3.2s)

analyze850.0ms

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

sample22.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms69×body80invalid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
07339
17339

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.5b
(* (- y x) (/ z t))

rewrite18.0ms

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:
3.0ms
(+ x (* (- y x) (/ z t)))
13.0ms
(* (- y x) (/ z t))

series24.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ x (* (- y x) (/ z t)))
13.0ms
(* (- y x) (/ z t))

simplify46.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05329557

prune104.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

5.7b
(cbrt (* (- y x) (/ z t)))
6.5b
(* (- y x) (/ z t))
6.5b
(* (- y x) (/ z t))
6.5b
(* (- y x) (/ z t))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×associate-*r*
34×*-un-lft-identity
30×times-frac
28×add-cube-cbrt
19×add-exp-log add-cbrt-cube
15×associate-*l*
10×pow1
8×frac-times flip3-- associate-*l/ flip--
6×prod-exp cbrt-unprod unswap-sqr
5×cbrt-div
4×associate-*r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
1×cbrt-prod pow1/3
Counts
4 → 128
Calls
4 calls:
6.0ms
(cbrt (* (- y x) (/ z t)))
9.0ms
(* (- y x) (/ z t))
10.0ms
(* (- y x) (/ z t))
9.0ms
(* (- y x) (/ z t))

series80.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(cbrt (* (- y x) (/ z t)))
12.0ms
(* (- y x) (/ z t))
14.0ms
(* (- y x) (/ z t))
13.0ms
(* (- y x) (/ z t))

simplify41.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050461369

prune166.0ms

Filtered
103 candidates to 140 candidates (-35.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1400140
Fresh088
Picked011
Done011
Total14010150

Merged error: 0b

Counts
150 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (- 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))

series86.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
13.0ms
(cbrt (/ z t))
15.0ms
(cbrt (/ z t))
13.0ms
(cbrt (/ z t))

simplify80.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
049171044
149171044

prune141.0ms

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

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh077
Picked011
Done022
Total11010120

Merged error: 0b

Counts
120 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
5.3b
(* (/ (- 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)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt t)
22.0ms
(cbrt t)
25.0ms
(cbrt t)
17.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify39.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050811017

prune88.0ms

Filtered
73 candidates to 106 candidates (-45.2%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1060106
Fresh066
Picked011
Done033
Total10610116

Merged error: 0b

Counts
116 → 10

regimes545.0ms

Accuracy

4.7% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.9b

bsearch33.0ms

Steps
ItersRangePoint
8
2.524625664871697e-197
1.029725045825366e-192
4.0513237570269454e-197
8
-2.6962762173365187e-257
-5.078982308596368e-260
-1.6621494539914967e-259

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03734
13734

end0.0ms

sample558.0ms

Algorithm
intervals
Results
243.0ms8000×body80valid
65.0ms2070×body80invalid

Profiling

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