Details

Time bar (total: 4.3s)

sample31.0ms

Algorithm
intervals
Results
8.0ms310×body80nan
7.0ms268×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1475
2715
31035
41245
51385
61485
71485

prune2.0ms

Filtered
1 candidates to 0 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 → 1

localize8.0ms

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))

series85.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ x (* y (sqrt z)))
49.0ms
(* y (sqrt z))

simplify122.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0219188
1829168
23837161
35002161

prune102.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New31839
Fresh000
Picked011
Done000
Total31940

Merged error: 0.0b

Counts
40 → 9

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)))
0.4b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite22.0ms

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)))

series416.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(sqrt (sqrt z))
144.0ms
(sqrt (sqrt z))
85.0ms
(* y (sqrt (sqrt z)))
44.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0336520
11470454
25002427

prune225.0ms

Filtered
100 candidates to 59 candidates (59.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New973100
Fresh257
Picked011
Done011
Total9910109

Merged error: 0b

Counts
109 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series742.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt z) (cbrt z))
184.0ms
(cbrt z)
177.0ms
(cbrt z)
177.0ms
(cbrt z)

simplify91.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune337.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh077
Picked011
Done022
Total851095

Merged error: 0b

Counts
95 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (sqrt (sqrt z)))
0.4b
(* (* 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)

rewrite38.0ms

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:
10.0ms
(* y (sqrt (sqrt z)))
13.0ms
(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
5.0ms
(cbrt (pow (sqrt (sqrt z)) 3))
5.0ms
(pow (sqrt (sqrt z)) 3)

series478.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* y (sqrt (sqrt z)))
41.0ms
(* (* y (sqrt (sqrt z))) (cbrt (pow (sqrt (sqrt z)) 3)))
145.0ms
(cbrt (pow (sqrt (sqrt z)) 3))
206.0ms
(pow (sqrt (sqrt z)) 3)

simplify78.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0528885
12481740
25002699

prune268.0ms

Filtered
153 candidates to 71 candidates (46.4%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1512153
Fresh246
Picked101
Done033
Total1549163

Merged error: 0b

Counts
163 → 9

regimes293.0ms

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

sample815.0ms

Algorithm
intervals
Results
238.0ms8556×body80valid
222.0ms8670×body80nan

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