Details

Time bar (total: 4.2s)

sample50.0ms

Algorithm
intervals
Results
18.0ms36×body1280valid
10.0ms166×body80valid
8.0ms31×body640valid
3.0ms14×body320valid
1.0ms9×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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
7.0ms
(- (+ x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))

series89.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (+ x (cos y)) (* z (sin y)))
38.0ms
(* z (sin y))

simplify86.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0179287
1653257
23467256
35001249

prune106.0ms

Filtered
50 candidates to 35 candidates (70.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New45550
Fresh000
Picked101
Done000
Total46551

Merged error: 0.0b

Counts
51 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.9b
(cbrt (* z (sin y)))
8.9b
(cbrt (* z (sin y)))
8.9b
(cbrt (* z (sin y)))

rewrite15.0ms

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:
5.0ms
(* (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)))

series518.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
114.0ms
(cbrt (* z (sin y)))
120.0ms
(cbrt (* z (sin y)))
114.0ms
(cbrt (* z (sin y)))

simplify106.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0195499
1648448
23129396
35002368

prune275.0ms

Filtered
78 candidates to 61 candidates (78.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New77178
Fresh044
Picked101
Done000
Total78583

Merged error: 0.0b

Counts
83 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))

rewrite13.0ms

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))
2.0ms
(cbrt (sin y))

series398.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
94.0ms
(cbrt (sin y))
96.0ms
(cbrt (sin y))
98.0ms
(cbrt (sin y))

simplify92.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0160483
1568430
23134398
35001392

prune249.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New90393
Fresh044
Picked101
Done000
Total91798

Merged error: 0b

Counts
98 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

8.9b
(cbrt (* z (sin y)))
8.9b
(cbrt (* z (sin y)))
8.9b
(cbrt (* z (sin y)))
8.9b
(cbrt (* z (sin y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 44
Calls
4 calls:
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))
6.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))

series471.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(cbrt (* z (sin y)))
122.0ms
(cbrt (* z (sin y)))
114.0ms
(cbrt (* z (sin y)))
118.0ms
(cbrt (* z (sin y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (16.0ms)

IterNodesCost
081324
1167296
2501260
32120244
45001244

prune190.0ms

Filtered
56 candidates to 48 candidates (85.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh066
Picked011
Done000
Total56763

Merged error: 0b

Counts
63 → 7

regimes94.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01833
11833

end0.0ms

sample1.3s

Algorithm
intervals
Results
436.0ms985×body1280valid
332.0ms5611×body80valid
219.0ms770×body640valid
81.0ms427×body320valid
28.0ms207×body160valid