Details

Time bar (total: 3.7s)

sample89.0ms

Algorithm
intervals
Results
29.0ms63×body1280valid
17.0ms51×body640valid
15.0ms157×body80valid
4.0ms17×body320valid
2.0ms13×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04911
14911

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))
0.3b
(* x (/ 1.0 (tan B)))

rewrite31.0ms

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))))
4.0ms
(/ 1.0 (sin B))
4.0ms
(/ 1.0 (tan B))
10.0ms
(* x (/ 1.0 (tan B)))

series94.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
6.0ms
(/ 1.0 (sin B))
13.0ms
(/ 1.0 (tan B))
37.0ms
(* x (/ 1.0 (tan B)))

simplify62.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04974986
14974986

prune192.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1058113
Fresh000
Picked101
Done000
Total1068114

Merged error: 0.0b

Counts
114 → 8

localize11.0ms

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))

rewrite25.0ms

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:
14.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
4.0ms
(/ 1.0 (sin B))
6.0ms
(/ (* x 1.0) (tan B))

series63.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
5.0ms
(/ 1.0 (sin B))
26.0ms
(/ (* x 1.0) (tan B))

simplify35.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04988739
14988739

prune110.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New74074
Fresh077
Picked011
Done000
Total74882

Merged error: 0.0b

Counts
82 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity times-frac
13×add-exp-log associate-*r* add-cbrt-cube
6×pow1 associate-/r* associate-/l* add-log-exp
5×associate-*r/
4×div-inv
3×cbrt-undiv div-exp associate-*l*
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 101
Calls
4 calls:
8.0ms
(- (/ 1.0 (sin B)) (* 1.0 (* (cos B) (/ x (sin B)))))
4.0ms
(/ 1.0 (sin B))
4.0ms
(/ x (sin B))
8.0ms
(* (cos B) (/ x (sin B)))

series65.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (/ 1.0 (sin B)) (* 1.0 (* (cos B) (/ x (sin B)))))
5.0ms
(/ 1.0 (sin B))
14.0ms
(/ x (sin B))
18.0ms
(* (cos B) (/ x (sin B)))

simplify31.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
052921077

prune139.0ms

Filtered
86 candidates to 113 candidates (-31.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh066
Picked011
Done011
Total1138121

Merged error: 0.0b

Counts
121 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (/ 1.0 (tan B)))) (cbrt (* x (/ 1.0 (tan B)))))
0.6b
(cbrt (* x (/ 1.0 (tan B))))
0.6b
(cbrt (* x (/ 1.0 (tan B))))
0.6b
(cbrt (* x (/ 1.0 (tan B))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity associate-*r/
7×cbrt-prod cbrt-div
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
6.0ms
(* (cbrt (* x (/ 1.0 (tan B)))) (cbrt (* x (/ 1.0 (tan B)))))
5.0ms
(cbrt (* x (/ 1.0 (tan B))))
5.0ms
(cbrt (* x (/ 1.0 (tan B))))
5.0ms
(cbrt (* x (/ 1.0 (tan B))))

series224.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (cbrt (* x (/ 1.0 (tan B)))) (cbrt (* x (/ 1.0 (tan B)))))
49.0ms
(cbrt (* x (/ 1.0 (tan B))))
52.0ms
(cbrt (* x (/ 1.0 (tan B))))
51.0ms
(cbrt (* x (/ 1.0 (tan B))))

simplify41.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04952691
14952691

prune153.0ms

Filtered
61 candidates to 76 candidates (-24.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh055
Picked011
Done022
Total76884

Merged error: 0.0b

Counts
84 → 8

regimes123.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11011

end0.0ms

sample2.0s

Algorithm
intervals
Results
753.0ms1755×body1280valid
407.0ms1441×body640valid
364.0ms4874×body80valid
149.0ms721×body320valid
53.0ms367×body160valid

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