Details

Time bar (total: 3.9s)

sample34.0ms

Algorithm
intervals
Results
9.0ms275×body80valid
9.0ms308×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

series95.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* y (sqrt z)))
60.0ms
(* y (sqrt z))

simplify106.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0210185
1816175
23872168
35002168

prune95.0ms

Filtered
39 candidates to 30 candidates (76.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New33639
Fresh000
Picked011
Done000
Total33740

Merged error: 0.0b

Counts
40 → 7

localize9.0ms

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)))

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)))

series416.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(sqrt (sqrt z))
141.0ms
(sqrt (sqrt z))
80.0ms
(* y (sqrt (sqrt z)))
60.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0299492
11288445
25001425

prune199.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh235
Picked101
Done011
Total998107

Merged error: 0b

Counts
107 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ 1 z) -1/4)
0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
34×add-sqr-sqrt
26×add-cube-cbrt unpow-prod-down *-un-lft-identity associate-*r*
22×sqrt-prod
19×prod-exp
18×times-frac
12×pow-exp
11×add-cbrt-cube
10×pow1
6×div-exp
4×sqrt-pow1 associate-*l* cbrt-unprod add-log-exp
3×pow-to-exp rec-exp pow-unpow pow-pow 1-exp unswap-sqr
2×rem-sqrt-square pow1/2 *-commutative div-inv sqr-pow
1×pow-flip pow-prod-down inv-pow
Counts
4 → 117
Calls
4 calls:
5.0ms
(pow (/ 1 z) -1/4)
2.0ms
(sqrt (sqrt z))
6.0ms
(* y (sqrt (sqrt z)))
12.0ms
(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

series510.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(pow (/ 1 z) -1/4)
148.0ms
(sqrt (sqrt z))
82.0ms
(* y (sqrt (sqrt z)))
99.0ms
(* (* y (sqrt (sqrt z))) (pow (/ 1 z) -1/4))

simplify74.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0557738
12472676
25001671

prune268.0ms

Filtered
129 candidates to 75 candidates (58.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh066
Picked011
Done011
Total1298137

Merged error: 0b

Counts
137 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
0.4b
(* (* 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))))

series449.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(sqrt (sqrt z))
81.0ms
(* y (sqrt (sqrt z)))
62.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
166.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

simplify60.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0457868
12256727
25002654

prune224.0ms

Filtered
114 candidates to 67 candidates (58.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1140114
Fresh055
Picked011
Done022
Total1148122

Merged error: 0b

Counts
122 → 8

regimes242.0ms

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

sample895.0ms

Algorithm
intervals
Results
300.0ms8563×body80valid
263.0ms8200×body80nan

Profiling

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