Details

Time bar (total: 28.9s)

sample63.0ms

Algorithm
intervals
Results
24.0ms53×body1280valid
13.0ms49×body640valid
9.0ms149×body80valid
5.0ms26×body320valid
2.0ms13×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
99×frac-add distribute-neg-frac
90×associate-*r/
86×*-un-lft-identity
79×associate-/l*
75×add-sqr-sqrt
70×add-cube-cbrt
69×associate-/r*
33×clear-num
28×times-frac
23×frac-2neg
20×un-div-inv
14×associate-*r*
13×add-exp-log add-cbrt-cube
8×add-log-exp
6×pow1
4×associate-*l*
3×cbrt-undiv div-exp div-inv distribute-lft-out
2×tan-quot distribute-rgt-neg-in prod-exp sum-log associate-/r/ cbrt-unprod unswap-sqr
1×+-commutative neg-sub0 associate-+l- flip3-+ pow-prod-down neg-log *-commutative flip-+
Counts
4 → 213
Calls
4 calls:
43.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
4.0ms
(/ 1.0 (tan B))
3.0ms
(/ 1.0 (sin B))
8.0ms
(* x (/ 1.0 (tan B)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(+ (- (* x (/ 1.0 (tan B)))) (/ 1.0 (sin B)))
34.0ms
(/ 1.0 (tan B))
21.0ms
(/ 1.0 (sin B))
109.0ms
(* x (/ 1.0 (tan B)))

simplify52.0ms

Algorithm
egg-herbie
Counts
225 → 225
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012152296
150012160

prune489.0ms

Filtered
225 candidates to 142 candidates (63.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2178225
Fresh000
Picked101
Done000
Total2188226

Merged error: 0.0b

Counts
226 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
177×associate-/l*
162×frac-add distribute-neg-frac
136×add-sqr-sqrt
124×*-un-lft-identity
110×add-cube-cbrt
87×associate-/r*
53×times-frac
42×associate-*l*
39×associate-*r*
29×frac-2neg clear-num
13×*-commutative unswap-sqr
10×add-exp-log add-cbrt-cube
7×add-log-exp
6×distribute-lft-out
5×distribute-rgt-neg-in
3×pow1 cbrt-undiv div-exp
2×sum-log div-inv
1×tan-quot +-commutative neg-sub0 associate-+l- flip3-+ neg-log prod-exp associate-/r/ cbrt-unprod flip-+
Counts
3 → 274
Calls
3 calls:
58.0ms
(+ (- (/ (* 1.0 x) (tan B))) (/ 1.0 (sin B)))
8.0ms
(/ (* 1.0 x) (tan B))
4.0ms
(/ 1.0 (sin B))

series244.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(+ (- (/ (* 1.0 x) (tan B))) (/ 1.0 (sin B)))
112.0ms
(/ (* 1.0 x) (tan B))
19.0ms
(/ 1.0 (sin B))

simplify71.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
019903704
150023620

prune664.0ms

Filtered
283 candidates to 190 candidates (67.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2785283
Fresh527
Picked011
Done000
Total2838291

Merged error: 0.0b

Counts
291 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (sin B))
0.7b
(cbrt (sin B))
0.7b
(cbrt (sin B))
2.6b
(/ (+ (* (- (* x (sqrt 1.0))) (cbrt (sin B))) (* (/ (tan B) (sqrt 1.0)) (/ 1.0 (* (cbrt (sin B)) (cbrt (sin B)))))) (* (/ (tan B) (sqrt 1.0)) (cbrt (sin B))))

rewrite337.0ms

Algorithm
rewrite-expression-head
Rules
882×*-un-lft-identity
744×associate-*l*
693×times-frac
434×add-sqr-sqrt
320×distribute-lft-out
242×add-cube-cbrt
160×distribute-rgt-neg-in
135×sqrt-prod
81×cbrt-prod
72×associate-*r* unswap-sqr
45×associate-/r*
18×add-cbrt-cube
14×associate-/l*
13×add-exp-log associate-*l/ associate-/r/ div-inv
12×*-commutative
7×cbrt-undiv
4×pow1 div-exp cbrt-unprod add-log-exp
3×pow1/3 associate-/l/
2×frac-2neg prod-exp clear-num
1×tan-quot flip3-+ flip-+
Counts
4 → 545
Calls
4 calls:
1.0ms
(cbrt (sin B))
1.0ms
(cbrt (sin B))
1.0ms
(cbrt (sin B))
280.0ms
(/ (+ (* (- (* x (sqrt 1.0))) (cbrt (sin B))) (* (/ (tan B) (sqrt 1.0)) (/ 1.0 (* (cbrt (sin B)) (cbrt (sin B)))))) (* (/ (tan B) (sqrt 1.0)) (cbrt (sin B))))

series652.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(cbrt (sin B))
94.0ms
(cbrt (sin B))
97.0ms
(cbrt (sin B))
364.0ms
(/ (+ (* (- (* x (sqrt 1.0))) (cbrt (sin B))) (* (/ (tan B) (sqrt 1.0)) (/ 1.0 (* (cbrt (sin B)) (cbrt (sin B)))))) (* (/ (tan B) (sqrt 1.0)) (cbrt (sin B))))

simplify147.0ms

Algorithm
egg-herbie
Counts
557 → 557
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
0102318023
1500217592

prune826.0ms

Filtered
557 candidates to 172 candidates (30.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New5561557
Fresh156
Picked011
Done011
Total5578565

Merged error: 0b

Counts
565 → 8

localize32.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (sin B))
0.7b
(cbrt (sin B))
0.7b
(cbrt (sin B))
2.2b
(/ (* (cbrt (+ (* (- (* x (sqrt 1.0))) (cbrt (sin B))) (* (/ (tan B) (sqrt 1.0)) (/ 1.0 (* (cbrt (sin B)) (cbrt (sin B))))))) (cbrt (+ (* (- (* x (sqrt 1.0))) (cbrt (sin B))) (* (/ (tan B) (sqrt 1.0)) (/ 1.0 (* (cbrt (sin B)) (cbrt (sin B)))))))) (* (/ (tan B) (sqrt 1.0)) (* (cbrt (cbrt (sin B))) (cbrt (cbrt (sin B))))))

rewrite4.5s

Algorithm
rewrite-expression-head
Rules
42688×*-un-lft-identity
37521×cbrt-prod
32800×associate-*l*
26128×add-sqr-sqrt
19851×times-frac
18240×distribute-lft-out
12036×swap-sqr
10500×unswap-sqr
9120×distribute-rgt-neg-in
7796×associate-*r*
4384×add-cube-cbrt
2979×sqrt-prod
734×*-commutative
189×add-cbrt-cube
134×cbrt-unprod
126×associate-/l*
125×div-inv
119×associate-/r*
80×cbrt-undiv
45×add-exp-log
17×prod-exp
15×associate-*l/
14×div-exp
13×associate-/r/
12×cbrt-div
9×associate-/l/
6×flip3-+ flip-+
4×pow1 frac-times add-log-exp
3×pow1/3
2×frac-2neg associate-*r/ clear-num
1×tan-quot
Counts
4 → 14264
Calls
4 calls:
2.0ms
(cbrt (sin B))
2.0ms
(cbrt (sin B))
1.0ms
(cbrt (sin B))
857.0ms
(/ (* (cbrt (+ (* (- (* x (sqrt 1.0))) (cbrt (sin B))) (* (/ (tan B) (sqrt 1.0)) (/ 1.0 (* (cbrt (sin B)) (cbrt (sin B))))))) (cbrt (+ (* (- (* x (sqrt 1.0))) (cbrt (sin B))) (* (/ (tan B) (sqrt 1.0)) (/ 1.0 (* (cbrt (sin B)) (cbrt (sin B)))))))) (* (/ (tan B) (sqrt 1.0)) (* (cbrt (cbrt (sin B))) (cbrt (cbrt (sin B))))))

series886.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (sin B))
94.0ms
(cbrt (sin B))
97.0ms
(cbrt (sin B))
600.0ms
(/ (* (cbrt (+ (* (- (* x (sqrt 1.0))) (cbrt (sin B))) (* (/ (tan B) (sqrt 1.0)) (/ 1.0 (* (cbrt (sin B)) (cbrt (sin B))))))) (cbrt (+ (* (- (* x (sqrt 1.0))) (cbrt (sin B))) (* (/ (tan B) (sqrt 1.0)) (/ 1.0 (* (cbrt (sin B)) (cbrt (sin B)))))))) (* (/ (tan B) (sqrt 1.0)) (* (cbrt (cbrt (sin B))) (cbrt (cbrt (sin B))))))

simplify6.4s

Algorithm
egg-herbie
Counts
14276 → 14276
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05001957863

prune11.3s

Filtered
14276 candidates to 1680 candidates (11.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New14276014276
Fresh055
Picked011
Done022
Total14276814284

Merged error: 0b

Counts
14284 → 8

regimes80.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1207
2207

end0.0ms

sample1.8s

Algorithm
intervals
Results
710.0ms1683×body1280valid
367.0ms1394×body640valid
305.0ms4955×body80valid
132.0ms701×body320valid
48.0ms369×body160valid