Details

Time bar (total: 5.4s)

sample61.0ms

Algorithm
intervals
Results
25.0ms54×body1280valid
11.0ms46×body640valid
7.0ms134×body80valid
2.0ms12×body320valid
1.0ms10×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1154
2154

prune5.0ms

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))

rewrite31.0ms

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
3×expm1-log1p-u log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
3 → 54
Calls
3 calls:
11.0ms
(+ (* x (sin y)) (* z (cos y)))
9.0ms
(* x (sin y))
9.0ms
(* z (cos y))

series164.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(+ (* x (sin y)) (* z (cos y)))
39.0ms
(* x (sin y))
42.0ms
(* z (cos y))

simplify72.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0197270
1757245
22524245
35001244

prune167.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
7.2b
(cbrt (* x (sin y)))
7.2b
(cbrt (* x (sin y)))
7.2b
(cbrt (* x (sin y)))

rewrite38.0ms

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:
23.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
5.0ms
(cbrt (* x (sin y)))
4.0ms
(cbrt (* x (sin y)))
5.0ms
(cbrt (* x (sin y)))

series539.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
132.0ms
(cbrt (* x (sin y)))
126.0ms
(cbrt (* x (sin y)))
127.0ms
(cbrt (* x (sin y)))

simplify89.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0195499
1648448
23141388
35002366

prune266.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite16.0ms

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:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series752.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt x) (cbrt x))
189.0ms
(cbrt x)
181.0ms
(cbrt x)
181.0ms
(cbrt x)

simplify88.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune297.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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
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:
15.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series612.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
294.0ms
(cbrt (sin y))
100.0ms
(cbrt (sin y))
107.0ms
(cbrt (sin y))

simplify93.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0160483
1568430
23134398
35001392

prune266.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes99.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01514
11514

end0.0ms

sample1.6s

Algorithm
intervals
Results
611.0ms1483×body1280valid
325.0ms1288×body640valid
247.0ms4268×body80valid
110.0ms644×body320valid
43.0ms317×body160valid