Details

Time bar (total: 3.9s)

sample46.0ms

Algorithm
intervals
Results
18.0ms45×body1280valid
8.0ms162×body80valid
6.0ms26×body640valid
3.0ms13×body320valid
1.0ms10×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1205
2225
3225

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

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))

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
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:
3.0ms
(+ x (sin y))
6.0ms
(+ (+ x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))

series102.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ x (sin y))
42.0ms
(+ (+ x (sin y)) (* z (cos y)))
36.0ms
(* z (cos y))

simplify69.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0196244
1694228
22608228
35001228

prune117.0ms

Filtered
52 candidates to 37 candidates (71.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New47552
Fresh000
Picked101
Done000
Total48553

Merged error: 0.0b

Counts
53 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b
(cbrt (* z (cos y)))
0.6b
(cbrt (* z (cos y)))
0.6b
(cbrt (* z (cos 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:
7.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
2.0ms
(cbrt (* z (cos y)))
2.0ms
(cbrt (* z (cos y)))
2.0ms
(cbrt (* z (cos y)))

series515.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
129.0ms
(cbrt (* z (cos y)))
119.0ms
(cbrt (* z (cos y)))
123.0ms
(cbrt (* z (cos y)))

simplify121.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0175423
1691372
23601342
35001317

prune202.0ms

Filtered
70 candidates to 52 candidates (74.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New69170
Fresh044
Picked011
Done000
Total69675

Merged error: 0b

Counts
75 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
0.6b
(cbrt (+ x (sin y)))
0.6b
(cbrt (+ x (sin y)))
0.6b
(cbrt (+ x (sin y)))

rewrite25.0ms

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:
13.0ms
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
3.0ms
(cbrt (+ x (sin y)))
3.0ms
(cbrt (+ x (sin y)))
3.0ms
(cbrt (+ x (sin y)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
54.0ms
(cbrt (+ x (sin y)))
59.0ms
(cbrt (+ x (sin y)))
53.0ms
(cbrt (+ x (sin y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03411022
11271971
25001904

prune326.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh044
Picked011
Done011
Total1076113

Merged error: 0b

Counts
113 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (cos y) 2)
0.3b
(* (cbrt (* (pow z 2) (pow (cos y) 2))) (cbrt (* z (cos y))))
0.6b
(cbrt (* z (cos y)))
31.8b
(cbrt (* (pow z 2) (pow (cos y) 2)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log
4×cbrt-prod pow1/3 associate-*r* associate-*l* add-cbrt-cube add-log-exp
3×unpow-prod-down pow-unpow
2×pow-prod-down
1×pow-to-exp pow-pow pow-exp prod-exp *-commutative cbrt-unprod unpow2 unswap-sqr sqr-pow
Counts
4 → 57
Calls
4 calls:
2.0ms
(pow (cos y) 2)
6.0ms
(* (cbrt (* (pow z 2) (pow (cos y) 2))) (cbrt (* z (cos y))))
2.0ms
(cbrt (* z (cos y)))
4.0ms
(cbrt (* (pow z 2) (pow (cos y) 2)))

series318.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(pow (cos y) 2)
43.0ms
(* (cbrt (* (pow z 2) (pow (cos y) 2))) (cbrt (* z (cos y))))
123.0ms
(cbrt (* z (cos y)))
130.0ms
(cbrt (* (pow z 2) (pow (cos y) 2)))

simplify141.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
0243460
1956412
24538389
35001384

prune220.0ms

Filtered
69 candidates to 52 candidates (75.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh033
Picked011
Done022
Total69675

Merged error: 0b

Counts
75 → 6

regimes86.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01514
11514

end0.0ms

sample1.2s

Algorithm
intervals
Results
387.0ms978×body1280valid
304.0ms5571×body80valid
210.0ms843×body640valid
70.0ms418×body320valid
22.0ms189×body160valid
1.0ms1×body2560valid