Details

Time bar (total: 4.5s)

analyze578.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms22×body80invalid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1294
2544
3774
41044
51254
61344
71444
81454
91494
101534
112484
122864
133084
143944
154634
165214
176154
186914
197004
207004

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.4b
(/ (* x (- y z)) (- t z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* x (- y z))
8.0ms
(/ (* x (- y z)) (- t z))

series25.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (- y z))
18.0ms
(/ (* x (- y z)) (- t z))

simplify34.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264276
11209239
25001239

prune72.0ms

Filtered
40 candidates to 61 candidates (-52.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New56561
Fresh000
Picked011
Done000
Total56662

Merged error: 0.0b

Counts
62 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.5b
(/ x (/ (- t z) (- y z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
7.0ms
(/ (- t z) (- y z))
10.0ms
(/ x (/ (- t z) (- y z)))

series33.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- t z) (- y z))
25.0ms
(/ x (/ (- t z) (- y z)))

simplify70.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06331784
128631733
250011730

prune171.0ms

Filtered
133 candidates to 200 candidates (-50.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1973200
Fresh314
Picked011
Done011
Total2006206

Merged error: 0b

Counts
206 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
1.3b
(/ (cbrt x) (/ (- t z) (- y z)))
1.4b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (- t z) (- y z))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
703×times-frac
547×add-sqr-sqrt
536×*-un-lft-identity
276×add-cube-cbrt
197×cbrt-prod
191×associate-*r*
130×distribute-lft-out-- difference-of-squares
31×associate-/r*
30×add-exp-log
28×associate-/r/
18×add-cbrt-cube
15×div-inv
13×flip3-- flip--
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
6×associate-/l*
5×unswap-sqr
4×add-log-exp
3×pow-prod-down
2×pow1/3
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 480
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
13.0ms
(/ (cbrt x) (/ (- t z) (- y z)))
45.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (- t z) (- y z))))

series176.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
21.0ms
(cbrt x)
103.0ms
(/ (cbrt x) (/ (- t z) (- y z)))
29.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ (- t z) (- y z))))

simplify86.0ms

Algorithm
egg-herbie
Counts
492 → 492
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
015945694
150025587

prune369.0ms

Filtered
341 candidates to 492 candidates (-44.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4920492
Fresh033
Picked011
Done022
Total4926498

Merged error: 0b

Counts
498 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
8.2b
(* (/ x (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
60×*-un-lft-identity
50×times-frac
46×associate-*r*
42×cbrt-prod
28×add-cube-cbrt
25×add-exp-log
20×cbrt-div
18×add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
15×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 136
Calls
4 calls:
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
33.0ms
(* (/ x (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z))))

series108.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- t z))
26.0ms
(cbrt (- t z))
30.0ms
(cbrt (- t z))
26.0ms
(* (/ x (* (cbrt (- t z)) (cbrt (- t z)))) (/ (- y z) (cbrt (- t z))))

simplify78.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06581608
131321455
250011384

prune144.0ms

Filtered
114 candidates to 148 candidates (-29.8%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1480148
Fresh022
Picked011
Done033
Total1486154

Merged error: 0b

Counts
154 → 6

regimes336.0ms

Accuracy

12.4% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.3b

bsearch929.0ms

Steps
ItersRangePoint
11
1.0682746279908822e-152
4.2696199381852685e-127
4.38805792391361e-143
6
-1.8502946392193687e-265
-3.6195779218337575e-266
-1.1286509858861362e-265

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

analyze538.0ms

Algorithm
search

sample475.0ms

Algorithm
intervals
Results
250.0ms8000×body80valid
17.0ms580×body80invalid

Profiling

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