Details

Time bar (total: 3.6s)

analyze604.0ms

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

sample24.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms83×body80invalid

simplify128.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (126.0ms)

IterNodesCost
015519
115519

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.5b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.1b
(* (- 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)))
12.0ms
(* (- 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))

simplify51.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05511557

prune111.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New451055
Fresh000
Picked011
Done000
Total451156

Merged error: 0.0b

Counts
56 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
0.7b
(* z (/ (cbrt (- y x)) t))
3.5b
(* (* (cbrt (- y x)) (cbrt (- y x))) (* z (/ (cbrt (- y x)) t)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
32×*-un-lft-identity
30×add-exp-log
29×associate-*r*
28×cbrt-div
26×cbrt-prod times-frac
22×add-cube-cbrt
21×add-cbrt-cube
18×pow1
16×frac-times
15×associate-*r/ prod-exp cbrt-unprod
14×flip3-- flip--
12×associate-*l/
9×pow-prod-down
5×distribute-lft-out-- difference-of-squares
4×associate-*l* add-log-exp
3×cbrt-undiv div-exp unswap-sqr
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 121
Calls
4 calls:
5.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))
11.0ms
(* z (/ (cbrt (- y x)) t))
18.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* z (/ (cbrt (- y x)) t)))

series94.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(cbrt (- y x))
26.0ms
(cbrt (- y x))
28.0ms
(* z (/ (cbrt (- y x)) t))
12.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* z (/ (cbrt (- y x)) t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049471559
149471559

prune176.0ms

Filtered
94 candidates to 133 candidates (-41.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1312133
Fresh369
Picked101
Done011
Total1359144

Merged error: 0.0b

Counts
144 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.8b
(* (/ (cbrt (- y x)) t) (cbrt z))
3.5b
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (* (cbrt z) (cbrt z)) (* (/ (cbrt (- y x)) t) (cbrt z))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
74×add-exp-log
49×prod-exp cbrt-unprod
47×pow1
45×add-sqr-sqrt
33×add-cbrt-cube
32×pow-prod-down
29×cbrt-prod *-un-lft-identity associate-*l*
28×times-frac
24×cbrt-div
23×add-cube-cbrt
22×associate-*l/
16×frac-times
14×associate-*r/
12×flip3-- flip--
7×associate-*r*
6×unswap-sqr
5×cbrt-undiv div-exp
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 141
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
13.0ms
(* (/ (cbrt (- y x)) t) (cbrt z))
27.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (* (cbrt z) (cbrt z)) (* (/ (cbrt (- y x)) t) (cbrt z))))

series108.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
21.0ms
(cbrt z)
48.0ms
(* (/ (cbrt (- y x)) t) (cbrt z))
17.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (* (cbrt z) (cbrt z)) (* (/ (cbrt (- y x)) t) (cbrt z))))

simplify70.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049571672
149571672

prune168.0ms

Filtered
90 candidates to 153 candidates (-70.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1521153
Fresh077
Picked011
Done011
Total15210162

Merged error: 0b

Counts
162 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.5b
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (* (cbrt z) (cbrt z)) (* (/ 1 (* (cbrt t) (cbrt t))) (* (cbrt (- y x)) (/ (cbrt z) (cbrt t))))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
589×add-exp-log
443×prod-exp
217×frac-times
216×cbrt-div
197×associate-*r/
195×cbrt-unprod
123×add-cbrt-cube
108×flip3-- flip--
77×associate-*l/
76×div-exp
69×pow1
51×pow-prod-down
36×cbrt-undiv
24×rec-exp 1-exp
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 296
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
44.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (* (cbrt z) (cbrt z)) (* (/ 1 (* (cbrt t) (cbrt t))) (* (cbrt (- y x)) (/ (cbrt z) (cbrt t))))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt z)
21.0ms
(cbrt z)
21.0ms
(cbrt z)
13.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (* (cbrt z) (cbrt z)) (* (/ 1 (* (cbrt t) (cbrt t))) (* (cbrt (- y x)) (/ (cbrt z) (cbrt t))))))

simplify161.0ms

Algorithm
egg-herbie
Counts
308 → 308
Iterations

Useful iterations: 0 (120.0ms)

IterNodesCost
048897282
148897282

prune253.0ms

Filtered
113 candidates to 308 candidates (-172.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New3071308
Fresh167
Picked011
Done022
Total30810318

Merged error: 0b

Counts
318 → 10

regimes587.0ms

Accuracy

-23.8% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 1.9b

bsearch76.0ms

Steps
ItersRangePoint
11
-1.4131614540694945e-306
1.466203358494786e-282
9.673003892922062e-301
10
-2.7348752505173987e-127
-7.428459597781338e-144
-2.6852554968962853e-127

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08935
18935

end0.0ms

sample600.0ms

Algorithm
intervals
Results
259.0ms8000×body80valid
71.0ms2105×body80invalid

Profiling

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