Details

Time bar (total: 4.6s)

sample240.0ms

Algorithm
intervals
Results
10.0ms280×body80valid
9.0ms278×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune4.0ms

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 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.2b
(* y (sqrt z))

rewrite9.0ms

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:
3.0ms
(+ x (* y (sqrt z)))
5.0ms
(* y (sqrt z))

series15.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ x (* y (sqrt z)))
7.0ms
(* y (sqrt z))

simplify109.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0210185
1816175
23872168
35002168

prune151.0ms

Filtered
39 candidates to 30 candidates (23.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New32739
Fresh000
Picked011
Done000
Total32840

Merged error: 0.0b

Counts
40 → 8

localize10.0ms

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)))

rewrite21.0ms

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)))
9.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt z))
15.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
7.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0317517
11370467
25002423

prune439.0ms

Filtered
100 candidates to 58 candidates (42.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New973100
Fresh336
Picked011
Done011
Total1008108

Merged error: 0b

Counts
108 → 8

localize16.0ms

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)))
0.7b
(pow (sqrt (sqrt z)) 3)
0.7b
(cbrt (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
(pow (sqrt (sqrt z)) 3)
4.0ms
(cbrt (pow (sqrt (sqrt z)) 3))

series56.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* y (sqrt (sqrt z)))
11.0ms
(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
20.0ms
(pow (sqrt (sqrt z)) 3)
15.0ms
(cbrt (pow (sqrt (sqrt z)) 3))

simplify74.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0528890
12428758
25001701

prune766.0ms

Filtered
153 candidates to 71 candidates (53.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1530153
Fresh055
Picked011
Done022
Total1538161

Merged error: 0b

Counts
161 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
58×sqrt-prod
33×associate-*r*
26×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
3×*-commutative unswap-sqr
2×rem-sqrt-square pow1/2
Counts
4 → 102
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
16.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
11.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt z))
11.0ms
(* y (sqrt (sqrt z)))
10.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
19.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

simplify66.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0498894
12430750
25001669

prune673.0ms

Filtered
114 candidates to 64 candidates (43.9%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1140114
Fresh044
Picked011
Done033
Total1148122

Merged error: 0b

Counts
122 → 8

regimes557.0ms

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
302.0ms8556×body80valid
269.0ms8427×body80nan

Profiling

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