Details

Time bar (total: 2.8s)

sample46.0ms

Algorithm
intervals
Results
13.0ms31×body1280valid
10.0ms182×body80valid
6.0ms23×body640valid
3.0ms18×body320valid
0.0ms2×body160valid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
0145
1285
2375
3435
4525
5665
61015
71665
82125
92365
102505
112705
122705

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: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ x (cos y)) (* z (sin y)))
0.0b
(+ x (cos y))
0.1b
(* z (sin 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
3×associate-*r* associate-*l*
2×diff-log sum-log
1×+-commutative sub-neg flip3-- flip3-+ pow-prod-down prod-exp associate--l+ *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
3 → 44
Calls
3 calls:
6.0ms
(- (+ x (cos y)) (* z (sin y)))
3.0ms
(+ x (cos y))
4.0ms
(* z (sin y))

series26.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(- (+ x (cos y)) (* z (sin y)))
5.0ms
(+ x (cos y))
8.0ms
(* z (sin y))

simplify76.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0198256
1668240
22771240
35001240

prune69.0ms

Filtered
53 candidates to 37 candidates (30.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New48553
Fresh000
Picked011
Done000
Total48654

Merged error: 0.0b

Counts
54 → 6

localize14.0ms

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))

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:
6.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))

series78.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
19.0ms
(cbrt (sin y))

simplify120.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0161512
1596460
23671403
35002397

prune106.0ms

Filtered
85 candidates to 60 candidates (29.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh044
Picked011
Done011
Total83891

Merged error: 0.0b

Counts
91 → 8

localize22.0ms

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))))

rewrite9.0ms

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))
4.0ms
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
22.0ms
(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

simplify54.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0123333
1334305
21294275
35001228

prune84.0ms

Filtered
54 candidates to 44 candidates (18.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New54054
Fresh055
Picked011
Done022
Total54862

Merged error: 0.0b

Counts
62 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
0.3b
(* z (pow (pow (sin y) 2) 1/3))
0.6b
(cbrt (sin y))
14.3b
(pow (pow (sin y) 2) 1/3)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
27×unpow-prod-down
23×add-sqr-sqrt
18×associate-*r*
16×prod-exp
14×add-cube-cbrt *-un-lft-identity
12×pow-exp
11×add-cbrt-cube
7×cbrt-unprod
6×pow1 cbrt-prod pow-to-exp unswap-sqr sqr-pow
4×associate-*l* add-log-exp
3×pow-unpow unpow1/3 unpow2
2×*-commutative
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 97
Calls
4 calls:
9.0ms
(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
7.0ms
(* z (pow (pow (sin y) 2) 1/3))
1.0ms
(cbrt (sin y))
4.0ms
(pow (pow (sin y) 2) 1/3)

series68.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
19.0ms
(* z (pow (pow (sin y) 2) 1/3))
17.0ms
(cbrt (sin y))
24.0ms
(pow (pow (sin y) 2) 1/3)

simplify48.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0369679
11538587
25002530

prune129.0ms

Filtered
109 candidates to 66 candidates (39.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1072109
Fresh134
Picked101
Done033
Total1098117

Merged error: 0b

Counts
117 → 8

regimes276.0ms

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
0105
1105

end0.0ms

sample1.4s

Algorithm
intervals
Results
436.0ms981×body1280valid
337.0ms5652×body80valid
219.0ms779×body640valid
83.0ms392×body320valid
26.0ms196×body160valid

Profiling

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