Details

Time bar (total: 4.2s)

sample55.0ms

Algorithm
intervals
Results
20.0ms46×body1280valid
12.0ms49×body640valid
7.0ms134×body80valid
3.0ms20×body320valid
1.0ms7×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (sin y)) (* z (cos y)))
0.1b
(* x (sin y))
0.2b
(* z (cos y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
11.0ms
(+ (* x (sin y)) (* z (cos y)))
9.0ms
(* x (sin y))
9.0ms
(* z (cos y))

series144.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ (* x (sin y)) (* z (cos y)))
35.0ms
(* x (sin y))
39.0ms
(* z (cos y))

simplify74.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune139.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite19.0ms

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:
13.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series448.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
97.0ms
(cbrt (cos y))
96.0ms
(cbrt (cos y))
98.0ms
(cbrt (cos y))

simplify105.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune267.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.1b
(* x (sin y))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
13×add-sqr-sqrt
12×prod-exp
11×add-cube-cbrt *-un-lft-identity
10×add-cbrt-cube
9×pow1 associate-*r*
6×cbrt-prod cbrt-unprod
5×pow-exp
4×associate-*l* add-log-exp
3×pow-to-exp unpow-prod-down pow-unpow
2×pow-prod-down *-commutative
1×pow-pow unpow1/3 pow1/3 unpow2 unswap-sqr sqr-pow
Counts
4 → 72
Calls
4 calls:
41.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
9.0ms
(* x (sin y))
3.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series190.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
39.0ms
(* x (sin y))
17.0ms
(pow (cos y) 2)
99.0ms
(cbrt (cos y))

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0294422
11280367
25001350

prune262.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (sin y))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))
0.7b
(log (exp (pow (cos y) 2)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
9×log-pow
8×pow1 exp-prod
7×add-exp-log
6×unpow-prod-down add-cbrt-cube
4×add-log-exp
3×cbrt-prod pow-unpow log-prod associate-*r* associate-*l*
2×unpow2 sqr-pow
1×pow-to-exp pow-pow pow1/3 rem-log-exp pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 67
Calls
4 calls:
9.0ms
(* x (sin y))
4.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))
7.0ms
(log (exp (pow (cos y) 2)))

series179.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* x (sin y))
17.0ms
(pow (cos y) 2)
102.0ms
(cbrt (cos y))
17.0ms
(log (exp (pow (cos y) 2)))

simplify95.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0205286
1670246
22633241
35001239

prune288.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample1.6s

Algorithm
intervals
Results
623.0ms1489×body1280valid
313.0ms1260×body640valid
239.0ms4303×body80valid
107.0ms609×body320valid
39.0ms339×body160valid