Details

Time bar (total: 4.9s)

sample47.0ms

Algorithm
intervals
Results
14.0ms181×body80valid
11.0ms26×body1280valid
7.0ms26×body640valid
3.0ms13×body320valid
1.0ms10×body160valid

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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:
3.0ms
(+ x (cos y))
22.0ms
(- (+ x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))

series105.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ x (cos y))
43.0ms
(- (+ x (cos y)) (* z (sin y)))
39.0ms
(* z (sin y))

simplify88.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0223348
1754317
23691316
35001309

prune173.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.3b
(cbrt (* z (sin y)))
8.3b
(cbrt (* z (sin y)))
8.3b
(cbrt (* z (sin y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
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))))
2.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))

series503.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
117.0ms
(cbrt (* z (sin y)))
124.0ms
(cbrt (* z (sin y)))
117.0ms
(cbrt (* z (sin y)))

simplify87.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0195499
1648448
23129396
35002368

prune269.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt z)
8.3b
(cbrt (* z (sin y)))
8.3b
(cbrt (* z (sin y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt (sin y))
0.0ms
(cbrt z)
2.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))

series506.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(cbrt (sin y))
175.0ms
(cbrt z)
120.0ms
(cbrt (* z (sin y)))
115.0ms
(cbrt (* z (sin y)))

simplify40.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0164272
1354250
21116232
35001220

prune279.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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)

rewrite9.0ms

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))
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series735.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt z) (cbrt z))
175.0ms
(cbrt z)
184.0ms
(cbrt z)
176.0ms
(cbrt z)

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune295.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes170.0ms

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

sample1.4s

Algorithm
intervals
Results
459.0ms1001×body1280valid
361.0ms5552×body80valid
266.0ms847×body640valid
90.0ms405×body320valid
28.0ms195×body160valid