Details

Time bar (total: 3.4s)

analyze262.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
37.4%62.4%0.1%6
49.9%49.9%0.1%7
62.4%37.4%0.1%8
62.4%37.4%0.1%9
71.8%28.1%0.1%10
79.6%20.3%0.1%11
79.6%20.3%0.1%12
85%14.8%0.1%13
89.3%10.5%0.1%14

sample58.0ms

Algorithm
intervals
Results
23.0ms50×body1280valid
11.0ms36×body640valid
9.0ms145×body80valid
3.0ms17×body320valid
1.0ms8×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0119
1119

prune4.0ms

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

rewrite14.0ms

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
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
4.0ms
(+ (* x (cos y)) (* z (sin y)))
4.0ms
(* x (cos y))
5.0ms
(* z (sin y))

series33.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (* x (cos y)) (* z (sin y)))
8.0ms
(* x (cos y))
9.0ms
(* z (sin y))

simplify66.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05163392

prune96.0ms

Filtered
39 candidates to 56 candidates (-43.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New451156
Fresh000
Picked101
Done000
Total461157

Merged error: 0.0b

Counts
57 → 11

localize14.0ms

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))

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×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))
2.0ms
(cbrt (sin y))

series85.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
19.0ms
(cbrt (sin y))
19.0ms
(cbrt (sin y))
22.0ms
(cbrt (sin y))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04991490
14991490

prune118.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh01010
Picked011
Done000
Total841296

Merged error: 0.0b

Counts
96 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.4b
(cbrt (* z (sin y)))
8.4b
(cbrt (* z (sin y)))
8.4b
(cbrt (* z (sin y)))

rewrite16.0ms

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)))

series112.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
25.0ms
(cbrt (* z (sin y)))
25.0ms
(cbrt (* z (sin y)))
26.0ms
(cbrt (* z (sin y)))

simplify65.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05014447

prune111.0ms

Filtered
52 candidates to 70 candidates (-34.6%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh01010
Picked011
Done011
Total691382

Merged error: 0.0b

Counts
82 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.6b
(cbrt (sin y))
8.4b
(cbrt (* z (sin y)))
8.4b
(cbrt (* z (sin y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 40
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt (sin y))
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))

series94.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt z)
21.0ms
(cbrt (sin y))
25.0ms
(cbrt (* z (sin y)))
25.0ms
(cbrt (* z (sin y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04907280
14907280

prune52.0ms

Filtered
40 candidates to 52 candidates (-30.0%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh01010
Picked011
Done022
Total521365

Merged error: 0.0b

Counts
65 → 13

regimes269.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01923
11923

end0.0ms

sample1.7s

Algorithm
intervals
Results
685.0ms1481×body1280valid
374.0ms1273×body640valid
289.0ms4311×body80valid
125.0ms611×body320valid
44.0ms324×body160valid

Profiling

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