Details

Time bar (total: 2.6s)

sample54.0ms

Algorithm
intervals
Results
15.0ms35×body1280valid
9.0ms173×body80valid
7.0ms29×body640valid
5.0ms7×body160valid
3.0ms12×body320valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1205
2225
3225

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (sin y)) (* z (cos y)))
0.0b
(+ x (sin y))
0.1b
(* z (cos y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×sum-log
3×associate-*r* associate-*l*
2×+-commutative flip3-+ flip-+
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
6.0ms
(+ (+ x (sin y)) (* z (cos y)))
3.0ms
(+ x (sin y))
4.0ms
(* z (cos y))

series23.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(+ (+ x (sin y)) (* z (cos y)))
5.0ms
(+ x (sin y))
7.0ms
(* z (cos y))

simplify67.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0196244
1694228
22608228
35001228

prune75.0ms

Filtered
52 candidates to 37 candidates (28.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New46652
Fresh000
Picked101
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

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:
6.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series77.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
18.0ms
(cbrt (cos y))
16.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))

simplify102.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune102.0ms

Filtered
85 candidates to 60 candidates (29.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh145
Picked101
Done000
Total85691

Merged error: 0.0b

Counts
91 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cbrt (cos y)))
0.3b
(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cbrt (cos y)))
4.0ms
(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

series72.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (cos y))
18.0ms
(cbrt (cos y))
16.0ms
(cbrt (cbrt (cos y)))
21.0ms
(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

simplify40.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0109297
1287267
2925256
35002256

prune83.0ms

Filtered
57 candidates to 46 candidates (19.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New57057
Fresh055
Picked011
Done000
Total57663

Merged error: 0.0b

Counts
63 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
0.6b
(cbrt (+ x (sin y)))
0.6b
(cbrt (+ x (sin y)))
0.6b
(cbrt (+ x (sin y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
10.0ms
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
3.0ms
(cbrt (+ x (sin y)))
4.0ms
(cbrt (+ x (sin y)))
3.0ms
(cbrt (+ x (sin y)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
16.0ms
(cbrt (+ x (sin y)))
16.0ms
(cbrt (+ x (sin y)))
16.0ms
(cbrt (+ x (sin y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03801136
112821085
25001975

prune108.0ms

Filtered
107 candidates to 72 candidates (32.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh044
Picked011
Done011
Total1076113

Merged error: 0.0b

Counts
113 → 6

regimes177.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01920
11920

end0.0ms

sample1.4s

Algorithm
intervals
Results
441.0ms1012×body1280valid
323.0ms5641×body80valid
207.0ms730×body640valid
75.0ms400×body320valid
29.0ms217×body160valid

Profiling

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