Details

Time bar (total: 4.2s)

sample40.0ms

Algorithm
intervals
Results
12.0ms30×body1280valid
9.0ms185×body80valid
6.0ms26×body640valid
2.0ms10×body320valid
1.0msbody160valid

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1285
2415
3575
4685
5865
61315
72145
82725
92965
103285
113965
123965

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

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ x (cos y)) (* z (sin y)))
0.0b
(+ x (cos y))
0.1b
(* z (sin y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
10×add-sqr-sqrt add-log-exp
add-cube-cbrt
pow1 add-exp-log add-cbrt-cube
fma-neg prod-diff
expm1-log1p-u fma-def associate-*r* associate-*l* log1p-expm1-u distribute-lft-out
diff-log sum-log
+-commutative sub-neg flip3-- flip3-+ pow-prod-down prod-exp associate--l+ *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
3 → 61
Calls
3 calls:
6.0ms
(- (+ x (cos y)) (* z (sin y)))
4.0ms
(+ x (cos y))
5.0ms
(* z (sin y))

series108.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- (+ x (cos y)) (* z (sin y)))
23.0ms
(+ x (cos y))
36.0ms
(* z (sin y))

simplify89.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0223348
1754317
23691316
35001309

prune147.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New66470
Fresh000
Picked011
Done000
Total66571

Merged error: 0.0b

Counts
71 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series729.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(* (cbrt z) (cbrt z))
181.0ms
(cbrt z)
178.0ms
(cbrt z)
177.0ms
(cbrt z)

simplify87.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune241.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh033
Picked101
Done011
Total92698

Merged error: 0.0b

Counts
98 → 6

localize17.0ms

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))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
3.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))
3.0ms
(cbrt (sin y))

series422.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
93.0ms
(cbrt (sin y))
99.0ms
(cbrt (sin y))
98.0ms
(cbrt (sin y))

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0160483
1568430
23134398
35001392

prune235.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh134
Picked101
Done011
Total94599

Merged error: 0.0b

Counts
99 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
0.3b
(pow (sin y) 2)
0.6b
(cbrt (sin y))
15.7b
(pow (pow (sin y) 2) 1/3)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×unpow-prod-down
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×prod-exp
pow-exp
add-cbrt-cube
pow1
cbrt-prod pow-unpow associate-*r*
pow-to-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
sqr-pow
pow-pow unpow1/3 unpow2
pow1/3 associate-*l* pow-prod-down *-commutative
Counts
4 → 87
Calls
4 calls:
9.0ms
(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
3.0ms
(pow (sin y) 2)
2.0ms
(cbrt (sin y))
4.0ms
(pow (pow (sin y) 2) 1/3)

series271.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
18.0ms
(pow (sin y) 2)
99.0ms
(cbrt (sin y))
118.0ms
(pow (pow (sin y) 2) 1/3)

simplify54.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0373519
11490446
25001422

prune222.0ms

Filtered
99 candidates to 62 candidates (62.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done011
Total995104

Merged error: 0.0b

Counts
104 → 5

regimes104.0ms

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
0105
1105

end0.0ms

sample1.2s

Algorithm
intervals
Results
372.0ms916×body1280valid
307.0ms5699×body80valid
196.0ms814×body640valid
66.0ms395×body320valid
20.0ms176×body160valid