Details

Time bar (total: 5.4s)

sample56.0ms

Algorithm
intervals
Results
21.0ms33×body1280valid
10.0ms184×body80valid
5.0ms20×body640valid
3.0ms12×body320valid
1.0ms7×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1205
2225
3225

prune5.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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:
3.0ms
(+ x (sin y))
6.0ms
(+ (+ x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))

series110.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ x (sin y))
45.0ms
(+ (+ x (sin y)) (* z (cos y)))
38.0ms
(* z (cos y))

simplify79.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0196244
1694228
22608228
35001228

prune210.0ms

Filtered
52 candidates to 37 candidates (71.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New47552
Fresh000
Picked011
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

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)

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 z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series796.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(* (cbrt z) (cbrt z))
186.0ms
(cbrt z)
191.0ms
(cbrt z)
186.0ms
(cbrt z)

simplify96.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune385.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh044
Picked011
Done011
Total84791

Merged error: 0.0b

Counts
91 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
5.0ms
(cbrt (+ (+ x (sin y)) (* z (cos y))))
5.0ms
(cbrt (+ (+ x (sin y)) (* z (cos y))))
5.0ms
(cbrt (+ (+ x (sin y)) (* z (cos y))))
14.0ms
(* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y)))))

series722.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt (+ (+ x (sin y)) (* z (cos y))))
188.0ms
(cbrt (+ (+ x (sin y)) (* z (cos y))))
172.0ms
(cbrt (+ (+ x (sin y)) (* z (cos y))))
160.0ms
(* (cbrt (+ (+ x (sin y)) (* z (cos y)))) (cbrt (+ (+ x (sin y)) (* z (cos y)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
03531536
113791439
250011355

prune491.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New98199
Fresh044
Picked011
Done022
Total988106

Merged error: 0.0b

Counts
106 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (cbrt (pow (+ x (sin y)) 3)) (* z (cos y)))
0.1b
(* z (cos y))
0.2b
(pow (+ x (sin y)) 3)
25.8b
(cbrt (pow (+ x (sin y)) 3))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
14×cbrt-prod add-sqr-sqrt
12×add-cube-cbrt
8×unpow-prod-down cube-prod
7×pow1 add-exp-log add-cbrt-cube
6×add-log-exp
4×cube-div distribute-lft-out
3×pow-unpow flip3-+ associate-*r* associate-*l* flip-+
2×cube-mult cbrt-div unpow3 sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative rem-cbrt-cube cbrt-unprod rem-cube-cbrt unswap-sqr
Counts
4 → 81
Calls
4 calls:
9.0ms
(+ (cbrt (pow (+ x (sin y)) 3)) (* z (cos y)))
4.0ms
(* z (cos y))
5.0ms
(pow (+ x (sin y)) 3)
5.0ms
(cbrt (pow (+ x (sin y)) 3))

series145.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (cbrt (pow (+ x (sin y)) 3)) (* z (cos y)))
38.0ms
(* z (cos y))
38.0ms
(pow (+ x (sin y)) 3)
27.0ms
(cbrt (pow (+ x (sin y)) 3))

simplify60.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0330506
11514448
25003441

prune294.0ms

Filtered
93 candidates to 55 candidates (59.1%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New93093
Fresh044
Picked011
Done033
Total938101

Merged error: 0.0b

Counts
101 → 8

regimes334.0ms

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 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample1.4s

Algorithm
intervals
Results
440.0ms962×body1280valid
311.0ms5590×body80valid
228.0ms808×body640valid
80.0ms430×body320valid
31.0ms210×body160valid

Profiling

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