Details

Time bar (total: 4.1s)

sample47.0ms

Algorithm
intervals
Results
18.0ms45×body1280valid
9.0ms162×body80valid
6.0ms26×body640valid
3.0ms13×body320valid
1.0ms10×body160valid

simplify25.0ms

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: 0.1b

Counts
2 → 1

localize9.0ms

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))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
10×add-sqr-sqrt add-log-exp
8×add-cube-cbrt
5×pow1 add-exp-log add-cbrt-cube
4×fma-neg prod-diff
3×expm1-log1p-u fma-def associate-*r* associate-*l* log1p-expm1-u distribute-lft-out
2×diff-log sum-log
1×+-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:
7.0ms
(- (+ x (cos y)) (* z (sin y)))
7.0ms
(+ x (cos y))
4.0ms
(* z (sin y))

series108.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- (+ x (cos y)) (* z (sin y)))
24.0ms
(+ x (cos y))
36.0ms
(* z (sin y))

simplify90.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0223348
1754317
23691316
35001309

prune176.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New64670
Fresh000
Picked011
Done000
Total64771

Merged error: 0b

Counts
71 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.9b
(cbrt (* z (sin y)))
6.9b
(cbrt (* z (sin y)))
6.9b
(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×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:
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)))

series497.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
119.0ms
(cbrt (* z (sin y)))
116.0ms
(cbrt (* z (sin y)))
119.0ms
(cbrt (* z (sin y)))

simplify88.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0195499
1648448
23129396
35002368

prune262.0ms

Filtered
78 candidates to 61 candidates (78.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh055
Picked011
Done011
Total78785

Merged error: 0b

Counts
85 → 7

localize12.0ms

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))

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
6.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series393.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
97.0ms
(cbrt (sin y))
94.0ms
(cbrt (sin y))
94.0ms
(cbrt (sin y))

simplify91.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0160483
1568430
23134398
35001392

prune275.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New92193
Fresh134
Picked011
Done022
Total937100

Merged error: 0b

Counts
100 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (sin y) 2)
0.3b
(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
0.6b
(cbrt (sin y))
13.7b
(cbrt (pow (sin y) 2))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
6×unpow-prod-down associate-*r* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow associate-*l* pow-exp *-commutative
Counts
4 → 74
Calls
4 calls:
3.0ms
(pow (sin y) 2)
8.0ms
(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
3.0ms
(cbrt (pow (sin y) 2))

series269.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(pow (sin y) 2)
37.0ms
(* (* z (cbrt (pow (sin y) 2))) (cbrt (sin y)))
93.0ms
(cbrt (sin y))
114.0ms
(cbrt (pow (sin y) 2))

simplify43.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0294466
11217407
25001388

prune250.0ms

Filtered
86 candidates to 59 candidates (68.6%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New85186
Fresh123
Picked011
Done033
Total86793

Merged error: 0b

Counts
93 → 7

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample1.2s

Algorithm
intervals
Results
415.0ms979×body1280valid
297.0ms5570×body80valid
224.0ms843×body640valid
78.0ms418×body320valid
23.0ms190×body160valid