Details

Time bar (total: 5.1s)

analyze898.0ms

Algorithm
search

sample70.0ms

Algorithm
intervals
Results
29.0ms66×body1280valid
14.0ms50×body640valid
7.0ms99×body80valid
6.0ms30×body320valid
1.0ms11×body160valid
1.0ms9×body80invalid

simplify372.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
0.1b
(/ 1.0 (sin B))
0.2b
(/ 1.0 (tan B))
0.2b
(* x (/ 1.0 (tan B)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity times-frac
14×associate-*r*
13×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/l* add-log-exp
3×cbrt-undiv div-exp associate-*l* div-inv
2×tan-quot frac-2neg associate-*r/ prod-exp clear-num associate-/r/ cbrt-unprod unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip--
Counts
4 → 101
Calls
4 calls:
6.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
3.0ms
(/ 1.0 (sin B))
4.0ms
(/ 1.0 (tan B))
9.0ms
(* x (/ 1.0 (tan B)))

series98.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
5.0ms
(/ 1.0 (sin B))
11.0ms
(/ 1.0 (tan B))
54.0ms
(* x (/ 1.0 (tan B)))

simplify45.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0386627
11479584
25001584

prune174.0ms

Filtered
88 candidates to 113 candidates (-28.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1067113
Fresh000
Picked101
Done000
Total1077114

Merged error: 0.0b

Counts
114 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
0.1b
(* x (cos B))
0.1b
(/ 1.0 (sin B))
0.2b
(/ (* x (cos B)) (sin B))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
12×times-frac
6×pow1 associate-/r* add-log-exp
4×associate-/l*
3×cbrt-undiv div-exp associate-*r* associate-*l* div-inv
2×frac-2neg associate-*r/ prod-exp clear-num cbrt-unprod
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- distribute-lft-out-- sub-div unswap-sqr
Counts
4 → 81
Calls
4 calls:
6.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
4.0ms
(* x (cos B))
3.0ms
(/ 1.0 (sin B))
5.0ms
(/ (* x (cos B)) (sin B))

series56.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
6.0ms
(* x (cos B))
5.0ms
(/ 1.0 (sin B))
18.0ms
(/ (* x (cos B)) (sin B))

simplify42.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0333572
11375511
25001511

prune113.0ms

Filtered
68 candidates to 93 candidates (-36.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New91293
Fresh246
Picked101
Done000
Total946100

Merged error: 0.0b

Counts
100 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (cos B))
0.2b
(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv unswap-sqr
Counts
2 → 48
Calls
2 calls:
4.0ms
(* x (cos B))
5.0ms
(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))

series24.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (cos B))
17.0ms
(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))

simplify91.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0228414
1798374
23416373
35001373

prune77.0ms

Filtered
40 candidates to 54 candidates (-35.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New54054
Fresh055
Picked011
Done000
Total54660

Merged error: 0.0b

Counts
60 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin B)) (cbrt (sin B)))
0.6b
(cbrt (sin B))
0.6b
(cbrt (sin B))
0.6b
(cbrt (sin B))

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×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:
6.0ms
(* (cbrt (sin B)) (cbrt (sin B)))
1.0ms
(cbrt (sin B))
1.0ms
(cbrt (sin B))
1.0ms
(cbrt (sin B))

series85.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt (sin B)) (cbrt (sin B)))
19.0ms
(cbrt (sin B))
19.0ms
(cbrt (sin B))
21.0ms
(cbrt (sin B))

simplify120.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0161512
1598454
23692400
35001394

prune88.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh134
Picked101
Done011
Total85691

Merged error: 0.0b

Counts
91 → 6

regimes102.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116
1116

end0.0ms

analyze698.0ms

Algorithm
search

sample1.8s

Algorithm
intervals
Results
765.0ms1728×body1280valid
381.0ms1394×body640valid
264.0ms3804×body80valid
140.0ms702×body320valid
51.0ms372×body160valid
12.0ms181×body80invalid
0.0ms1×body1280invalid

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