Details

Time bar (total: 4.5s)

sample47.0ms

Algorithm
intervals
Results
14.0ms184×body80valid
13.0ms30×body1280valid
6.0ms22×body640valid
3.0ms13×body320valid
1.0ms7×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×add-sqr-sqrt
7×add-log-exp
6×add-cube-cbrt
4×pow1 add-exp-log fma-neg prod-diff add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u diff-log log1p-expm1-u distribute-lft-out
1×sub-neg flip3-- pow-prod-down prod-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod unswap-sqr
Counts
2 → 44
Calls
2 calls:
22.0ms
(- (+ x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))

series86.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (+ x (cos y)) (* z (sin y)))
42.0ms
(* z (sin y))

simplify84.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0179287
1653257
23467256
35001249

prune129.0ms

Pruning

6 alts after pruning (6 fresh and 0 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))))
7.5b
(cbrt (* z (sin y)))
7.5b
(cbrt (* z (sin y)))
7.5b
(cbrt (* z (sin y)))

rewrite13.0ms

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:
7.0ms
(* (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)))

series509.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
118.0ms
(cbrt (* z (sin y)))
123.0ms
(cbrt (* z (sin y)))
118.0ms
(cbrt (* z (sin y)))

simplify91.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0195499
1648448
23129396
35002368

prune256.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (sin y))
7.5b
(cbrt (* z (sin y)))
7.5b
(cbrt (* z (sin y)))

rewrite5.0ms

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

series511.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt z)
101.0ms
(cbrt (sin y))
116.0ms
(cbrt (* z (sin y)))
117.0ms
(cbrt (* z (sin y)))

simplify40.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0164272
1354250
21116232
35001220

prune247.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt (sin y))
7.5b
(cbrt (* z (sin y)))
7.5b
(cbrt (* z (sin y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 48
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt (sin y))
5.0ms
(cbrt (* z (sin y)))
2.0ms
(cbrt (* z (sin y)))

series522.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt z)
95.0ms
(cbrt (sin y))
118.0ms
(cbrt (* z (sin y)))
123.0ms
(cbrt (* z (sin y)))

simplify40.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
0164272
1354250
21116232
35001220

prune266.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02423
12423

end0.0ms

sample1.4s

Algorithm
intervals
Results
449.0ms990×body1280valid
436.0ms5575×body80valid
239.0ms809×body640valid
89.0ms421×body320valid
30.0ms205×body160valid