Details

Time bar (total: 4.0s)

analyze615.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 91.601563%

sample45.0ms

Algorithm
intervals
Results
13.0ms27×body1280valid
12.0ms190×body80valid
7.0ms27×body640valid
1.0ms7×body160valid
1.0ms5×body320valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

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))

rewrite20.0ms

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:
4.0ms
(+ x (cos y))
6.0ms
(- (+ x (cos y)) (* z (sin y)))
8.0ms
(* z (sin y))

series27.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ x (cos y))
13.0ms
(- (+ x (cos y)) (* z (sin y)))
9.0ms
(* z (sin y))

simplify82.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0198256
1668240
22771240
35001240

prune82.0ms

Filtered
37 candidates to 53 candidates (-43.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New46753
Fresh000
Picked101
Done000
Total47754

Merged error: 0.0b

Counts
54 → 7

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)

rewrite15.0ms

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:
9.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(cbrt z)

series98.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt z) (cbrt z))
23.0ms
(cbrt z)
23.0ms
(cbrt z)
24.0ms
(cbrt z)

simplify82.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune92.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh066
Picked011
Done000
Total85792

Merged error: 0.0b

Counts
92 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.5b
(cbrt (* z (sin y)))
9.5b
(cbrt (* z (sin y)))
9.5b
(cbrt (* z (sin y)))

rewrite17.0ms

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

series111.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
25.0ms
(cbrt (* z (sin y)))
24.0ms
(cbrt (* z (sin y)))
25.0ms
(cbrt (* z (sin y)))

simplify105.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0197476
1659425
23240368
35001346

prune94.0ms

Filtered
53 candidates to 70 candidates (-32.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh145
Picked011
Done011
Total70777

Merged error: 0.0b

Counts
77 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ x (cos y)))
0.4b
(cbrt (+ x (cos y)))
0.4b
(cbrt (+ x (cos y)))
0.4b
(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
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 → 95
Calls
4 calls:
3.0ms
(cbrt (+ x (cos y)))
6.0ms
(cbrt (+ x (cos y)))
3.0ms
(cbrt (+ x (cos y)))
11.0ms
(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))

series69.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(cbrt (+ x (cos y)))
16.0ms
(cbrt (+ x (cos y)))
17.0ms
(cbrt (+ x (cos y)))
19.0ms
(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03051038
11100987
25002912

prune105.0ms

Filtered
72 candidates to 107 candidates (-48.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh044
Picked011
Done022
Total1077114

Merged error: 0.0b

Counts
114 → 7

regimes192.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01410
11410

end0.0ms

analyze600.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 91.601563%

sample1.4s

Algorithm
intervals
Results
446.0ms967×body1280valid
366.0ms5628×body80valid
224.0ms800×body640valid
85.0ms384×body320valid
31.0ms221×body160valid

Profiling

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