Details

Time bar (total: 3.1s)

sample56.0ms

Algorithm
intervals
Results
20.0ms48×body1280valid
9.0ms33×body640valid
8.0ms141×body80valid
5.0ms27×body320valid
1.0ms7×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
4.0ms
(+ (* x (sin y)) (* z (cos y)))
4.0ms
(* x (sin y))
4.0ms
(* z (cos y))

series32.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ (* x (sin y)) (* z (cos y)))
7.0ms
(* x (sin y))
6.0ms
(* z (cos y))

simplify70.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune81.0ms

Filtered
56 candidates to 40 candidates (28.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New48856
Fresh000
Picked101
Done000
Total49857

Merged error: 0.0b

Counts
57 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite12.0ms

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 (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series77.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
18.0ms
(cbrt (sin y))
17.0ms
(cbrt (sin y))
20.0ms
(cbrt (sin y))

simplify116.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0161512
1596460
23671403
35002397

prune109.0ms

Filtered
85 candidates to 60 candidates (29.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh077
Picked011
Done000
Total84993

Merged error: 0.0b

Counts
93 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.7b
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 42
Calls
4 calls:
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
5.0ms
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

series74.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (sin y))
17.0ms
(cbrt (sin y))
17.0ms
(cbrt (sin y))
22.0ms
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

simplify54.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0123333
1334305
21294275
35001228

prune86.0ms

Filtered
54 candidates to 44 candidates (18.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New54054
Fresh077
Picked011
Done011
Total54963

Merged error: 0.0b

Counts
63 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.5b
(cbrt (* z (cos y)))
0.5b
(cbrt (* z (cos y)))
0.5b
(cbrt (* z (cos y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
5.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
2.0ms
(cbrt (* z (cos y)))
2.0ms
(cbrt (* z (cos y)))
2.0ms
(cbrt (* z (cos y)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
22.0ms
(cbrt (* z (cos y)))
22.0ms
(cbrt (* z (cos y)))
24.0ms
(cbrt (* z (cos y)))

simplify87.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0183458
1597407
22879365
35002343

prune73.0ms

Filtered
70 candidates to 53 candidates (24.3%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New67370
Fresh066
Picked011
Done022
Total671279

Merged error: 0.0b

Counts
79 → 12

regimes244.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01512
11512

end0.0ms

sample1.7s

Algorithm
intervals
Results
640.0ms1486×body1280valid
325.0ms1216×body640valid
278.0ms4379×body80valid
129.0ms627×body320valid
42.0ms292×body160valid

Profiling

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