Details

Time bar (total: 3.6s)

sample45.0ms

Algorithm
intervals
Results
15.0ms37×body1280valid
10.0ms176×body80valid
7.0ms24×body640valid
3.0ms14×body320valid
1.0ms5×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: 0.0b

Counts
2 → 1

localize14.0ms

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
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))

series105.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(+ x (sin y))
44.0ms
(+ (+ x (sin y)) (* z (cos y)))
36.0ms
(* z (cos y))

simplify70.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0196244
1694228
22608228
35001228

prune110.0ms

Filtered
52 candidates to 37 candidates (71.2%)
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:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite12.0ms

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 (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series463.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
105.0ms
(cbrt (cos y))
100.0ms
(cbrt (cos y))
101.0ms
(cbrt (cos y))

simplify111.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune200.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done011
Total85590

Merged error: 0.0b

Counts
90 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (cos y))
0.0b
(sqrt (cos y))
0.1b
(* z (sqrt (cos y)))
0.1b
(* (* z (sqrt (cos y))) (sqrt (cos y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 69
Calls
4 calls:
1.0ms
(sqrt (cos y))
1.0ms
(sqrt (cos y))
5.0ms
(* z (sqrt (cos y)))
7.0ms
(* (* z (sqrt (cos y))) (sqrt (cos y)))

series120.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (cos y))
15.0ms
(sqrt (cos y))
54.0ms
(* z (sqrt (cos y)))
36.0ms
(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify80.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0157356
1711312
22827306
35001306

prune153.0ms

Filtered
81 candidates to 50 candidates (61.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh022
Picked011
Done022
Total81586

Merged error: 0.0b

Counts
86 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (cos y))
0.1b
(* (sin y) (- (sin y) x))
0.4b
(pow (sin y) 3)
29.5b
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (* x x)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
31×add-sqr-sqrt
27×times-frac
25×add-cube-cbrt
20×distribute-lft-out
19×unpow-prod-down cube-prod
11×add-exp-log add-cbrt-cube
9×pow1 associate-/l*
8×associate-*r*
6×associate-*l*
4×sum-cubes add-log-exp
3×pow-unpow associate-/r*
2×distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-*r/ pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ associate-/l/ unswap-sqr
1×cbrt-undiv cube-mult pow-to-exp flip3-- pow-pow frac-2neg unpow3 div-exp pow-exp clear-num flip-- div-inv distribute-lft-out-- rem-cube-cbrt difference-of-squares sqr-pow
Counts
4 → 122
Calls
4 calls:
4.0ms
(* z (cos y))
7.0ms
(* (sin y) (- (sin y) x))
3.0ms
(pow (sin y) 3)
19.0ms
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (* x x)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* z (cos y))
54.0ms
(* (sin y) (- (sin y) x))
35.0ms
(pow (sin y) 3)
95.0ms
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (* x x)))

simplify84.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
04511301
123061233
250011226

prune297.0ms

Filtered
134 candidates to 77 candidates (57.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1331134
Fresh011
Picked101
Done033
Total1345139

Merged error: 0.0b

Counts
139 → 5

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample1.3s

Algorithm
intervals
Results
427.0ms976×body1280valid
328.0ms5579×body80valid
230.0ms841×body640valid
76.0ms388×body320valid
28.0ms216×body160valid