Details

Time bar (total: 4.0s)

sample263.0ms

Algorithm
intervals
Results
213.0ms59×body1280valid
14.0ms49×body640valid
13.0ms145×body80valid
4.0ms20×body320valid
2.0ms15×body160valid

simplify440.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
038211
138211

prune12.0ms

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

localize23.0ms

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)))

rewrite28.0ms

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:
7.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
3.0ms
(/ 1.0 (sin B))
4.0ms
(/ 1.0 (tan B))
10.0ms
(* x (/ 1.0 (tan B)))

series96.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
5.0ms
(/ 1.0 (sin B))
16.0ms
(/ 1.0 (tan B))
40.0ms
(* x (/ 1.0 (tan B)))

simplify48.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05054996

prune168.0ms

Filtered
87 candidates to 113 candidates (-29.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1067113
Fresh000
Picked101
Done000
Total1077114

Merged error: 0.0b

Counts
114 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt times-frac
10×add-exp-log add-cbrt-cube
6×associate-/r*
5×add-log-exp
4×associate-/l*
3×pow1 cbrt-undiv div-exp
2×frac-2neg clear-num div-inv difference-of-squares
1×tan-quot sub-neg flip3-- diff-log prod-exp associate-/r/ frac-sub flip-- cbrt-unprod distribute-lft-out--
Counts
3 → 65
Calls
3 calls:
11.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
3.0ms
(/ 1.0 (sin B))
5.0ms
(/ (* x 1.0) (tan B))

series57.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
4.0ms
(/ 1.0 (sin B))
25.0ms
(/ (* x 1.0) (tan B))

simplify43.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05045739

prune100.0ms

Filtered
55 candidates to 74 candidates (-34.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New73174
Fresh066
Picked101
Done000
Total74781

Merged error: 0b

Counts
81 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (sin B))
0.1b
(/ 1.0 (sin B))
0.2b
(* (* x (/ 1.0 (sin B))) (cos B))
0.3b
(* x (/ 1.0 (sin B)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
28×times-frac
22×add-exp-log add-cbrt-cube
16×associate-*r*
11×pow1
7×prod-exp cbrt-unprod
6×associate-/r* associate-/l*
4×cbrt-undiv div-exp associate-*l* pow-prod-down add-log-exp
3×div-inv
2×frac-2neg associate-*r/ clear-num *-commutative unswap-sqr
1×associate-*l/
Counts
4 → 107
Calls
4 calls:
3.0ms
(/ 1.0 (sin B))
3.0ms
(/ 1.0 (sin B))
7.0ms
(* (* x (/ 1.0 (sin B))) (cos B))
7.0ms
(* x (/ 1.0 (sin B)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 1.0 (sin B))
7.0ms
(/ 1.0 (sin B))
19.0ms
(* (* x (/ 1.0 (sin B))) (cos B))
11.0ms
(* x (/ 1.0 (sin B)))

simplify54.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04986949
14986949

prune139.0ms

Filtered
85 candidates to 119 candidates (-40.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1190119
Fresh066
Picked011
Done000
Total1197126

Merged error: 0b

Counts
126 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
0.1b
(/ 1.0 (sin B))
0.2b
(/ (tan B) (* x 1.0))
0.3b
(/ 1 (/ (tan B) (* x 1.0)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
47×add-sqr-sqrt
39×*-un-lft-identity
32×add-exp-log
30×add-cube-cbrt
20×add-cbrt-cube
15×div-exp
11×associate-/r*
9×associate-/l*
8×cbrt-undiv div-inv
6×add-log-exp difference-of-squares
5×pow1
4×prod-exp
3×rec-exp frac-2neg 1-exp clear-num distribute-lft-out--
2×cbrt-unprod
1×tan-quot sub-neg flip3-- pow-flip diff-log associate-/r/ frac-sub flip-- associate-/l/ inv-pow
Counts
4 → 127
Calls
4 calls:
24.0ms
(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
3.0ms
(/ 1.0 (sin B))
5.0ms
(/ (tan B) (* x 1.0))
6.0ms
(/ 1 (/ (tan B) (* x 1.0)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
4.0ms
(/ 1.0 (sin B))
13.0ms
(/ (tan B) (* x 1.0))
19.0ms
(/ 1 (/ (tan B) (* x 1.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049651469
149651469

prune133.0ms

Filtered
93 candidates to 139 candidates (-49.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1363139
Fresh325
Picked011
Done011
Total1397146

Merged error: 0b

Counts
146 → 7

regimes110.0ms

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 (1.0ms)

IterNodesCost
06014
16014

end0.0ms

sample2.0s

Algorithm
intervals
Results
755.0ms1695×body1280valid
407.0ms1438×body640valid
348.0ms4899×body80valid
137.0ms702×body320valid
52.0ms369×body160valid

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