Details

Time bar (total: 2.2s)

analyze332.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms22×body80invalid

simplify264.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (262.0ms)

IterNodesCost
055207

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* x (/ z y)))
7.6b
(* x (/ z y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log associate-*r/ div-exp pow-prod-down *-commutative flip-- div-inv
Counts
2 → 43
Calls
2 calls:
3.0ms
(- x (* x (/ z y)))
9.0ms
(* x (/ z y))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- x (* x (/ z y)))
5.0ms
(* x (/ z y))

simplify24.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05025377

prune65.0ms

Filtered
34 candidates to 49 candidates (-44.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New43649
Fresh101
Picked011
Done000
Total44751

Merged error: 0.0b

Counts
51 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

2.9b
(* x (* (cbrt (/ z y)) (cbrt (/ z y))))
15.6b
(cbrt (/ z y))
15.6b
(cbrt (/ z y))
15.6b
(cbrt (/ z y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
4×associate-*r/ add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 88
Calls
4 calls:
9.0ms
(* x (* (cbrt (/ z y)) (cbrt (/ z y))))
2.0ms
(cbrt (/ z y))
2.0ms
(cbrt (/ z y))
2.0ms
(cbrt (/ z y))

series63.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* x (* (cbrt (/ z y)) (cbrt (/ z y))))
12.0ms
(cbrt (/ z y))
15.0ms
(cbrt (/ z y))
12.0ms
(cbrt (/ z y))

simplify37.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05020774

prune124.0ms

Filtered
77 candidates to 100 candidates (-29.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh055
Picked011
Done011
Total1007107

Merged error: 0.0b

Counts
107 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

7.6b
(* x (/ z y))
14.0b
(cbrt (* x (/ z y)))
14.0b
(cbrt (* x (/ z y)))
14.0b
(cbrt (* x (/ z y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*r/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
6.0ms
(* x (/ z y))
3.0ms
(cbrt (* x (/ z y)))
3.0ms
(cbrt (* x (/ z y)))
3.0ms
(cbrt (* x (/ z y)))

series62.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* x (/ z y))
19.0ms
(cbrt (* x (/ z y)))
18.0ms
(cbrt (* x (/ z y)))
21.0ms
(cbrt (* x (/ z y)))

simplify39.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05000506

prune79.0ms

Filtered
54 candidates to 74 candidates (-37.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New73174
Fresh134
Picked011
Done022
Total74781

Merged error: 0.0b

Counts
81 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
5.1b
(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
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
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
13.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

series76.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
23.0ms
(cbrt y)
21.0ms
(cbrt y)
10.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04951801
14951801

prune91.0ms

Filtered
72 candidates to 104 candidates (-44.4%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1031104
Fresh033
Picked011
Done033
Total1038111

Merged error: 0b

Counts
111 → 8

regimes229.0ms

Accuracy

41.4% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.1b

bsearch64.0ms

Steps
ItersRangePoint
10
4.031752423876737e+289
3.435372307378455e+300
1.2735314140732662e+299
8
8.37087088901318e+144
3.0720787915081058e+149
8.55574750243714e+144
8
-2.171594552673354e+75
-4.1266758032911663e+71
-2.639338943466909e+72

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
013447
113447

end0.0ms

sample431.0ms

Algorithm
intervals
Results
222.0ms8000×body80valid
20.0ms761×body80invalid

Profiling

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