Details

Time bar (total: 2.9s)

sample51.0ms

Algorithm
intervals
Results
15.0ms35×body1280valid
10.0ms178×body80valid
7.0ms24×body640valid
3.0ms14×body320valid
1.0ms5×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
02269
12269

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×diff-log
1×sub-neg flip3-- pow-prod-down prod-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
6.0ms
(- (+ x (cos y)) (* z (sin y)))
5.0ms
(* z (sin y))

series21.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(- (+ x (cos y)) (* z (sin y)))
8.0ms
(* z (sin y))

simplify50.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05156320

prune64.0ms

Filtered
26 candidates to 38 candidates (-46.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New32638
Fresh000
Picked011
Done000
Total32739

Merged error: 0b

Counts
39 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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:
7.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series84.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
19.0ms
(cbrt (sin y))
22.0ms
(cbrt (sin y))
19.0ms
(cbrt (sin y))

simplify60.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04991490
14991490

prune99.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done011
Total85792

Merged error: 0b

Counts
92 → 7

localize14.0ms

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)

rewrite13.0ms

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)
2.0ms
(cbrt z)

series98.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt z) (cbrt z))
23.0ms
(cbrt z)
25.0ms
(cbrt z)
23.0ms
(cbrt z)

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05165356

prune93.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ x (- (cos y) (* z (sin y))))) (cbrt (+ x (- (cos y) (* z (sin y))))))
0.5b
(cbrt (+ x (- (cos y) (* z (sin y)))))
0.5b
(cbrt (+ x (- (cos y) (* z (sin y)))))
0.5b
(cbrt (+ x (- (cos y) (* z (sin y)))))

rewrite31.0ms

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:
13.0ms
(* (cbrt (+ x (- (cos y) (* z (sin y))))) (cbrt (+ x (- (cos y) (* z (sin y))))))
4.0ms
(cbrt (+ x (- (cos y) (* z (sin y)))))
4.0ms
(cbrt (+ x (- (cos y) (* z (sin y)))))
5.0ms
(cbrt (+ x (- (cos y) (* z (sin y)))))

series235.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* (cbrt (+ x (- (cos y) (* z (sin y))))) (cbrt (+ x (- (cos y) (* z (sin y))))))
56.0ms
(cbrt (+ x (- (cos y) (* z (sin y)))))
53.0ms
(cbrt (+ x (- (cos y) (* z (sin y)))))
56.0ms
(cbrt (+ x (- (cos y) (* z (sin y)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049582050
149582050

prune102.0ms

Filtered
72 candidates to 107 candidates (-48.6%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1070107
Fresh033
Picked011
Done033
Total1077114

Merged error: 0b

Counts
114 → 7

regimes265.0ms

Accuracy

0% (0.0b 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 (1.0ms)

IterNodesCost
0369
1369

end0.0ms

sample1.5s

Algorithm
intervals
Results
439.0ms963×body1280valid
345.0ms5585×body80valid
223.0ms809×body640valid
82.0ms436×body320valid
27.0ms207×body160valid

Profiling

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