Details

Time bar (total: 2.3s)

analyze155.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms38×body80nan
0.0ms11×body80invalid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune3.0ms

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 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.3b
(* y (sqrt z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*l*
2×unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
2.0ms
(+ x (* y (sqrt z)))
5.0ms
(* y (sqrt z))

series14.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (* y (sqrt z)))
6.0ms
(* y (sqrt z))

simplify105.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0210185
1816175
23872168
35002168

prune64.0ms

Filtered
30 candidates to 39 candidates (-30.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New34539
Fresh000
Picked011
Done000
Total34640

Merged error: 0.0b

Counts
40 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

series44.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0317517
11370467
25002423

prune110.0ms

Filtered
59 candidates to 100 candidates (-69.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New973100
Fresh044
Picked101
Done011
Total988106

Merged error: 0.0b

Counts
106 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
0.6b
(cbrt (pow (sqrt (sqrt z)) 3))
0.7b
(pow (sqrt (sqrt z)) 3)

rewrite31.0ms

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)))
12.0ms
(* (* 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)

series53.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* y (sqrt (sqrt z)))
6.0ms
(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
14.0ms
(cbrt (pow (sqrt (sqrt z)) 3))
19.0ms
(pow (sqrt (sqrt z)) 3)

simplify71.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0528890
12431758
25002701

prune150.0ms

Filtered
72 candidates to 153 candidates (-112.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1512153
Fresh336
Picked011
Done011
Total1547161

Merged error: 0.0b

Counts
161 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
61×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
22×pow1
20×add-exp-log add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×sqrt-pow1 add-log-exp unswap-sqr
3×*-commutative
2×rem-sqrt-square pow1/2
Counts
4 → 103
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
7.0ms
(* y (sqrt (sqrt (sqrt z))))
11.0ms
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
15.0ms
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (sqrt z))
12.0ms
(* y (sqrt (sqrt (sqrt z))))
10.0ms
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
7.0ms
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0474882
12297725
25001636

prune96.0ms

Filtered
65 candidates to 115 candidates (-76.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1141115
Fresh134
Picked011
Done022
Total1157122

Merged error: 0.0b

Counts
122 → 7

regimes467.0ms

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

analyze162.0ms

Algorithm
search

sample526.0ms

Algorithm
intervals
Results
293.0ms7999×body80valid
35.0ms1077×body80nan
15.0ms414×body80invalid
0.0ms1×body640valid

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