Details

Time bar (total: 4.4s)

sample56.0ms

Algorithm
intervals
Results
23.0ms53×body1280valid
10.0ms38×body640valid
8.0ms138×body80valid
3.0ms18×body320valid
1.0ms9×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1215
2255
3255

prune2.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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
3×expm1-log1p-u log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
3 → 56
Calls
3 calls:
4.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))
4.0ms
(* x (cos y))

series142.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (* x (cos y)) (* z (sin y)))
35.0ms
(* z (sin y))
40.0ms
(* x (cos y))

simplify65.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0190289
1696265
22348265
35002261

prune149.0ms

Filtered
65 candidates to 47 candidates (72.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New551065
Fresh000
Picked101
Done000
Total561066

Merged error: 0.0b

Counts
66 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

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

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
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))

series431.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
92.0ms
(cbrt (cos y))
93.0ms
(cbrt (cos y))
95.0ms
(cbrt (cos y))

simplify107.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune244.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New90393
Fresh279
Picked101
Done000
Total9310103

Merged error: 0.0b

Counts
103 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (pow (pow (cos y) 2) 1/3))
0.2b
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
22×add-sqr-sqrt
19×unpow-prod-down
18×associate-*r*
16×prod-exp
13×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
9×pow-exp
7×pow1 cbrt-unprod
6×cbrt-prod unswap-sqr
5×pow-to-exp sqr-pow
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×pow-unpow unpow2
2×unpow1/3 *-commutative
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 98
Calls
4 calls:
11.0ms
(* x (pow (pow (cos y) 2) 1/3))
9.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series237.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* x (pow (pow (cos y) 2) 1/3))
36.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms
(pow (cos y) 2)
94.0ms
(cbrt (cos y))

simplify54.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0330613
11441531
25001498

prune272.0ms

Filtered
110 candidates to 70 candidates (63.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1073110
Fresh279
Picked101
Done000
Total11010120

Merged error: 0.0b

Counts
120 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x (pow (pow (cos y) 2) 1/3)) (expm1 (log1p (cbrt (cos y)))))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))
0.4b
(log1p (cbrt (cos y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
11×prod-exp add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×pow1
5×expm1-log1p-u pow-exp cbrt-unprod
4×log1p-expm1-u add-log-exp
3×cbrt-prod pow-to-exp unpow-prod-down pow-unpow associate-*r*
1×log1p-udef pow-pow unpow1/3 pow1/3 log1p-expm1 associate-*l* pow-prod-down *-commutative unpow2 sqr-pow
Counts
4 → 68
Calls
4 calls:
8.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (expm1 (log1p (cbrt (cos y)))))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
1.0ms
(log1p (cbrt (cos y)))

series427.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (expm1 (log1p (cbrt (cos y)))))
16.0ms
(pow (cos y) 2)
94.0ms
(cbrt (cos y))
152.0ms
(log1p (cbrt (cos y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0275487
11140380
25001360

prune205.0ms

Filtered
80 candidates to 51 candidates (63.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh099
Picked011
Done000
Total801090

Merged error: 0.0b

Counts
90 → 10

regimes174.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912
11912

end0.0ms

sample1.7s

Algorithm
intervals
Results
657.0ms1494×body1280valid
338.0ms1195×body640valid
272.0ms4320×body80valid
125.0ms650×body320valid
55.0ms341×body160valid

Profiling

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