Details

Time bar (total: 2.6s)

sample36.0ms

Algorithm
intervals
Results
10.0ms271×body80valid
7.0ms232×body80nan

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (sqrt z))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
5.0ms
(* y (sqrt z))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* y (sqrt z))

simplify78.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0141110
1601105
22999100
35002100

prune48.0ms

Filtered
25 candidates to 17 candidates (32.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New20525
Fresh000
Picked011
Done000
Total20626

Merged error: 0.0b

Counts
26 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
8.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (sqrt z))
14.0ms
(sqrt (sqrt z))
10.0ms
(* y (sqrt (sqrt z)))
7.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify53.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0317517
11370467
25002423

prune116.0ms

Filtered
100 candidates to 59 candidates (41.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New973100
Fresh224
Picked011
Done011
Total997106

Merged error: 0b

Counts
106 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
0.6b
(cbrt (pow (sqrt (sqrt z)) 3))
0.8b
(pow (sqrt (sqrt z)) 3)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
66×sqrt-prod
48×cbrt-prod
36×add-sqr-sqrt associate-*r*
30×add-cube-cbrt *-un-lft-identity
27×unpow-prod-down cube-prod
14×pow1
12×add-exp-log
10×add-cbrt-cube
5×pow-pow
4×sqrt-pow1 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×cube-mult pow-unpow unpow3 unswap-sqr sqr-pow
2×pow1/2 *-commutative
1×pow-to-exp pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 141
Calls
4 calls:
6.0ms
(* y (sqrt (sqrt z)))
13.0ms
(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
4.0ms
(cbrt (pow (sqrt (sqrt z)) 3))
4.0ms
(pow (sqrt (sqrt z)) 3)

series56.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* y (sqrt (sqrt z)))
12.0ms
(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
15.0ms
(cbrt (pow (sqrt (sqrt z)) 3))
19.0ms
(pow (sqrt (sqrt z)) 3)

simplify73.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0528890
12431758
25002701

prune141.0ms

Filtered
153 candidates to 71 candidates (53.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1530153
Fresh044
Picked011
Done022
Total1537160

Merged error: 0b

Counts
160 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt (sqrt z)))
0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
0.3b
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
69×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
23×pow1
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×sqrt-pow1
5×associate-*l*
4×add-log-exp
3×rem-sqrt-square pow1/2 *-commutative unswap-sqr
Counts
4 → 108
Calls
4 calls:
3.0ms
(sqrt (sqrt (sqrt z)))
6.0ms
(* y (sqrt (sqrt z)))
11.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
17.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt (sqrt (sqrt z)))
10.0ms
(* y (sqrt (sqrt z)))
18.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))
7.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))

simplify64.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0534938
12571793
25001709

prune96.0ms

Filtered
120 candidates to 67 candidates (44.2%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1200120
Fresh033
Picked011
Done033
Total1207127

Merged error: 0b

Counts
127 → 7

regimes458.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample1.1s

Algorithm
intervals
Results
304.0ms8529×body80valid
274.0ms8552×body80nan

Profiling

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