Details

Time bar (total: 2.4s)

analyze169.0ms

Algorithm
search

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms25×body80nan
1.0ms16×body80invalid

simplify16.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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)))
7.0ms
(* y (sqrt z))

series14.0ms

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

simplify111.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0210185
1816175
23872168
35002168

prune69.0ms

Filtered
30 candidates to 39 candidates (-30.0%)
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))
0.2b
(* y (sqrt (sqrt z)))
0.4b
(* (* 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:
14.0ms
(sqrt (sqrt z))
15.0ms
(sqrt (sqrt z))
12.0ms
(* y (sqrt (sqrt z)))
7.0ms
(* (* 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

prune103.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New982100
Fresh235
Picked011
Done011
Total1007107

Merged error: 0.0b

Counts
107 → 7

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))))
0.4b
(* (* 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)))
15.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
11.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt z))
10.0ms
(* y (sqrt (sqrt z)))
7.0ms
(* (* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
18.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

simplify64.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0498894
12430750
25001669

prune117.0ms

Filtered
65 candidates to 114 candidates (-75.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1131114
Fresh044
Picked011
Done022
Total1138121

Merged error: 0b

Counts
121 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:
11.0ms
(* (* y (* (sqrt (sqrt z)) (fabs (cbrt (sqrt z))))) (sqrt (cbrt (sqrt z))))
6.0ms
(* (sqrt (sqrt z)) (fabs (cbrt (sqrt z))))
4.0ms
(cbrt (sqrt z))
2.0ms
(cbrt (sqrt z))

series69.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* y (* (sqrt (sqrt z)) (fabs (cbrt (sqrt z))))) (sqrt (cbrt (sqrt z))))
18.0ms
(* (sqrt (sqrt z)) (fabs (cbrt (sqrt z))))
15.0ms
(cbrt (sqrt z))
16.0ms
(cbrt (sqrt z))

simplify60.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0474905
11915817
25001772

prune95.0ms

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

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New96096
Fresh044
Picked011
Done033
Total968104

Merged error: 0b

Counts
104 → 8

regimes474.0ms

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

sample537.0ms

Algorithm
intervals
Results
300.0ms8000×body80valid
34.0ms1044×body80nan
13.0ms368×body80invalid

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