Details

Time bar (total: 2.3s)

analyze166.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms34×body80nan
1.0ms19×body80invalid

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

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

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))

series15.0ms

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

simplify111.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0210185
1816175
23872168
35002168

prune67.0ms

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

localize10.0ms

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)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt z))
14.0ms
(sqrt (sqrt z))
10.0ms
(* y (sqrt (sqrt z)))
9.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0317517
11370467
25002423

prune106.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New982100
Fresh134
Picked011
Done011
Total997106

Merged error: 0b

Counts
106 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite11.0ms

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:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series90.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt z) (cbrt z))
21.0ms
(cbrt z)
21.0ms
(cbrt z)
24.0ms
(cbrt z)

simplify76.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune117.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792

Merged error: 0b

Counts
92 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt z)) (fabs (cbrt (sqrt z))))
0.4b
(* (* y (* (sqrt (sqrt z)) (fabs (cbrt (sqrt z))))) (sqrt (cbrt (sqrt z))))
0.6b
(cbrt (sqrt z))
0.6b
(cbrt (sqrt z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod
22×add-sqr-sqrt
18×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
15×pow1 add-exp-log associate-*r* add-cbrt-cube
10×associate-*l*
7×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 84
Calls
4 calls:
6.0ms
(* (sqrt (sqrt z)) (fabs (cbrt (sqrt z))))
11.0ms
(* (* y (* (sqrt (sqrt z)) (fabs (cbrt (sqrt z))))) (sqrt (cbrt (sqrt z))))
2.0ms
(cbrt (sqrt z))
2.0ms
(cbrt (sqrt z))

series75.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (sqrt (sqrt z)) (fabs (cbrt (sqrt z))))
26.0ms
(* (* y (* (sqrt (sqrt z)) (fabs (cbrt (sqrt z))))) (sqrt (cbrt (sqrt z))))
16.0ms
(cbrt (sqrt z))
16.0ms
(cbrt (sqrt z))

simplify58.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0474905
11915817
25001772

prune99.0ms

Filtered
63 candidates to 96 candidates (-52.4%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New96096
Fresh033
Picked011
Done033
Total967103

Merged error: 0b

Counts
103 → 7

regimes445.0ms

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

analyze157.0ms

Algorithm
search

sample505.0ms

Algorithm
intervals
Results
281.0ms8000×body80valid
35.0ms1048×body80nan
13.0ms389×body80invalid

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