Details

Time bar (total: 3.7s)

sample50.0ms

Algorithm
intervals
Results
12.0ms30×body640valid
10.0ms26×body1280valid
10.0ms183×body80valid
2.0ms10×body320valid
1.0ms7×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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:
3.0ms
(+ x (cos y))
5.0ms
(- (+ x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))

series23.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ x (cos y))
11.0ms
(- (+ x (cos y)) (* z (sin y)))
7.0ms
(* z (sin y))

simplify72.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0198256
1668240
22771240
35001240

prune321.0ms

Filtered
53 candidates to 37 candidates (30.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New47653
Fresh000
Picked011
Done000
Total47754

Merged error: 0.0b

Counts
54 → 7

localize15.0ms

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))

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))
2.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series78.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))

simplify112.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0161512
1596460
23671403
35002397

prune387.0ms

Filtered
85 candidates to 60 candidates (29.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh145
Picked101
Done011
Total84892

Merged error: 0.0b

Counts
92 → 8

localize13.0ms

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)

rewrite11.0ms

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:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series91.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt z) (cbrt z))
22.0ms
(cbrt z)
23.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify74.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune280.0ms

Filtered
85 candidates to 56 candidates (34.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh066
Picked011
Done011
Total85893

Merged error: 0.0b

Counts
93 → 8

localize17.0ms

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))))

series78.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0123333
1334305
21294275
35001228

prune263.0ms

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

regimes307.0ms

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
410.0ms945×body1280valid
320.0ms5636×body80valid
215.0ms802×body640valid
77.0ms418×body320valid
25.0ms199×body160valid

Profiling

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