Details

Time bar (total: 3.8s)

analyze626.0ms

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
3.1%96.7%0.2%8
17.2%82.7%0.2%9
21.8%78%0.2%10
30%68.8%1.2%11
31.8%65.3%2.9%12
40.1%55.3%4.6%13
44.5%50.1%5.4%14

sample25.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms66×body80invalid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
07339
17339

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

9.3b
(* (/ x y) (- z t))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
5×associate-*r*
3×pow1
2×frac-times sub-neg flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 40
Calls
1 calls:
9.0ms
(* (/ x y) (- z t))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(* (/ x y) (- z t))

simplify37.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05004388

prune78.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New38543
Fresh011
Picked011
Done000
Total38745

Merged error: 0.0b

Counts
45 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
2.6b
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
6.8b
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-div
98×frac-times
68×flip3-- flip--
50×associate-*r/
37×associate-*l/
34×add-exp-log
24×add-sqr-sqrt
21×*-un-lft-identity add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
15×cbrt-prod add-cube-cbrt
14×associate-*l*
10×times-frac
9×associate-*r* pow-prod-down
4×cbrt-undiv div-exp add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 164
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
21.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
15.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series102.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (- z t))
26.0ms
(cbrt (- z t))
13.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
35.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify59.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
053223383

prune251.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1751176
Fresh055
Picked011
Done011
Total1758183

Merged error: 0b

Counts
183 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
8.9b
(* (/ x y) (* (cbrt (- z t)) (* (cbrt (- z t)) (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
654×cbrt-div
352×frac-times
219×flip3-- flip--
216×associate-*r/
53×associate-*l/
36×add-exp-log
22×add-cbrt-cube
20×add-sqr-sqrt *-un-lft-identity prod-exp cbrt-unprod
18×pow1
15×cbrt-prod
14×add-cube-cbrt
13×associate-*l*
10×pow-prod-down
9×times-frac
4×cbrt-undiv div-exp add-log-exp
3×pow1/3 distribute-lft-out-- difference-of-squares
1×associate-*r* *-commutative div-inv
Counts
4 → 248
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
42.0ms
(* (/ x y) (* (cbrt (- z t)) (* (cbrt (- z t)) (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))))))

series120.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- z t))
28.0ms
(cbrt (- z t))
26.0ms
(cbrt (- z t))
39.0ms
(* (/ x y) (* (cbrt (- z t)) (* (cbrt (- z t)) (* (cbrt (cbrt (- z t))) (cbrt (cbrt (- z t)))))))

simplify87.0ms

Algorithm
egg-herbie
Counts
260 → 260
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
051458472

prune593.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2600260
Fresh055
Picked011
Done022
Total2608268

Merged error: 0b

Counts
268 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.8b
(* (- z t) (/ (cbrt x) y))
5.1b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (- z t) (/ (cbrt x) y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
32×add-sqr-sqrt
24×*-un-lft-identity
23×times-frac associate-*r*
22×add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
12×associate-*l*
11×pow1 frac-times
10×cbrt-undiv
8×associate-*r/
7×associate-*l/
6×flip3-- 1-exp flip--
4×pow-prod-down add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 123
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(* (- z t) (/ (cbrt x) y))
14.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (- z t) (/ (cbrt x) y)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
24.0ms
(cbrt x)
34.0ms
(* (- z t) (/ (cbrt x) y))
17.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (- z t) (/ (cbrt x) y)))

simplify80.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
050291143

prune337.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1350135
Fresh044
Picked011
Done033
Total1358143

Merged error: 0b

Counts
143 → 8

regimes497.0ms

Accuracy

10.8% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.0b

bsearch30.0ms

Steps
ItersRangePoint
6
1.8778512284352017e-120
1.6559377457976017e-119
1.9912695390203027e-120
10
-3.323309310268559e-153
-2.760375179436749e-164
-5.0212560282729745e-157

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04034
14034

end0.0ms

sample544.0ms

Algorithm
intervals
Results
247.0ms8000×body80valid
58.0ms1982×body80invalid

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