Details

Time bar (total: 4.4s)

analyze803.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 90.109253%

sample70.0ms

Algorithm
intervals
Results
22.0ms30×body1280valid
15.0ms182×body80valid
13.0ms32×body640valid
2.0ms6×body320valid
1.0ms6×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0135
1205
2225
3225

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize13.0ms

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))

rewrite21.0ms

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:
4.0ms
(+ x (sin y))
12.0ms
(+ (+ x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))

series24.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ x (sin y))
11.0ms
(+ (+ x (sin y)) (* z (cos y)))
7.0ms
(* z (cos y))

simplify76.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0196244
1694228
22608228
35001228

prune65.0ms

Filtered
37 candidates to 52 candidates (-40.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New48452
Fresh000
Picked011
Done000
Total48553

Merged error: 0.0b

Counts
53 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.7b
(cbrt (* z (cos y)))
0.7b
(cbrt (* z (cos y)))
0.7b
(cbrt (* z (cos y)))

rewrite14.0ms

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 (cos y))) (cbrt (* z (cos y))))
2.0ms
(cbrt (* z (cos y)))
2.0ms
(cbrt (* z (cos y)))
3.0ms
(cbrt (* z (cos y)))

series107.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
24.0ms
(cbrt (* z (cos y)))
24.0ms
(cbrt (* z (cos y)))
27.0ms
(cbrt (* z (cos y)))

simplify94.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0183458
1597407
22879365
35002343

prune86.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh033
Picked011
Done011
Total69675

Merged error: 0.0b

Counts
75 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (* z (cos y)))
0.7b
(cbrt (* z (cos y)))
0.7b
(cbrt (* z (cos y)))
0.7b
(cbrt (* z (cos y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 36
Calls
4 calls:
3.0ms
(cbrt (* z (cos y)))
3.0ms
(cbrt (* z (cos y)))
3.0ms
(cbrt (* z (cos y)))
3.0ms
(cbrt (* z (cos y)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt (* z (cos y)))
24.0ms
(cbrt (* z (cos y)))
24.0ms
(cbrt (* z (cos y)))
26.0ms
(cbrt (* z (cos y)))

simplify91.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 3 (20.0ms)

IterNodesCost
078292
1162264
2470252
32349204
45002204

prune73.0ms

Filtered
40 candidates to 48 candidates (-20.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New48048
Fresh033
Picked011
Done022
Total48654

Merged error: 0.0b

Counts
54 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (sin y) (sin y)))
0.1b
(* z (cos y))
0.3b
(* (sin y) (sin y))
19.2b
(/ (- (* x x) (* (sin y) (sin y))) (- x (sin y)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
31×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
13×pow1
12×difference-of-squares
10×add-exp-log add-cbrt-cube
6×associate-*r* associate-*l* add-log-exp
5×associate-/r* distribute-lft-out--
4×associate-/l*
3×flip3-- swap-sqr flip--
2×pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod sqr-sin associate-/l/ unswap-sqr
1×cbrt-undiv pow2 sub-neg frac-2neg pow-plus diff-log div-sub div-exp clear-num pow-sqr pow-prod-up div-inv sin-mult associate--r-
Counts
4 → 105
Calls
4 calls:
4.0ms
(- (* x x) (* (sin y) (sin y)))
4.0ms
(* z (cos y))
5.0ms
(* (sin y) (sin y))
9.0ms
(/ (- (* x x) (* (sin y) (sin y))) (- x (sin y)))

series34.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* x x) (* (sin y) (sin y)))
7.0ms
(* z (cos y))
4.0ms
(* (sin y) (sin y))
15.0ms
(/ (- (* x x) (* (sin y) (sin y))) (- x (sin y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0418884
11951771
25002749

prune108.0ms

Filtered
83 candidates to 117 candidates (-41.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1170117
Fresh022
Picked011
Done033
Total1176123

Merged error: 0.0b

Counts
123 → 6

regimes240.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

analyze798.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 90.109253%

sample1.4s

Algorithm
intervals
Results
474.0ms1018×body1280valid
367.0ms5591×body80valid
217.0ms787×body640valid
81.0ms390×body320valid
29.0ms214×body160valid

Profiling

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