Details

Time bar (total: 4.2s)

sample45.0ms

Algorithm
intervals
Results
17.0ms45×body1280valid
8.0ms162×body80valid
6.0ms26×body640valid
2.0ms13×body320valid
1.0ms10×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0135
1224
2284
3284

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

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))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-log-exp
9×add-sqr-sqrt
7×add-cube-cbrt fma-def
5×pow1 add-exp-log add-cbrt-cube
4×sum-log
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u
2×+-commutative flip3-+ flip-+ distribute-lft-out
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 56
Calls
3 calls:
4.0ms
(+ x (sin y))
6.0ms
(+ (+ x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))

series99.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ x (sin y))
37.0ms
(+ (+ x (sin y)) (* z (cos y)))
39.0ms
(* z (cos y))

simplify73.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0208268
1743242
22955242
35001242

prune212.0ms

Filtered
65 candidates to 50 candidates (76.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New60565
Fresh000
Picked101
Done000
Total61566

Merged error: 0.0b

Counts
66 → 5

localize22.0ms

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)))

rewrite24.0ms

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×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 66
Calls
4 calls:
10.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
4.0ms
(cbrt (* z (cos y)))
4.0ms
(cbrt (* z (cos y)))
4.0ms
(cbrt (* z (cos y)))

series567.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
122.0ms
(cbrt (* z (cos y)))
135.0ms
(cbrt (* z (cos y)))
159.0ms
(cbrt (* z (cos y)))

simplify125.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
0179463
1700412
23661382
35001357

prune266.0ms

Filtered
78 candidates to 60 candidates (76.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New77178
Fresh044
Picked011
Done000
Total77683

Merged error: 0b

Counts
83 → 6

localize15.0ms

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)))

rewrite23.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 103
Calls
4 calls:
11.0ms
(* (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)))

series223.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
53.0ms
(cbrt (+ x (sin y)))
58.0ms
(cbrt (+ x (sin y)))
58.0ms
(cbrt (+ x (sin y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03531062
113501002
25001932

prune378.0ms

Filtered
115 candidates to 83 candidates (72.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1150115
Fresh044
Picked011
Done011
Total1156121

Merged error: 0b

Counts
121 → 6

localize17.0ms

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 expm1-log1p-u pow1/3 associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 65
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)))
5.0ms
(cbrt (* (pow z 2) (pow (cos y) 2)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(pow (cos y) 2)
49.0ms
(* (cbrt (* (pow z 2) (pow (cos y) 2))) (cbrt (* z (cos y))))
119.0ms
(cbrt (* z (cos y)))
133.0ms
(cbrt (* (pow z 2) (pow (cos y) 2)))

simplify145.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0252506
1978457
24654434
35001434

prune274.0ms

Filtered
77 candidates to 61 candidates (79.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh033
Picked011
Done022
Total77683

Merged error: 0b

Counts
83 → 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
402.0ms978×body1280valid
291.0ms5571×body80valid
204.0ms843×body640valid
70.0ms418×body320valid
28.0ms189×body160valid
1.0ms1×body2560valid