Details

Time bar (total: 4.1s)

sample315.0ms

Algorithm
intervals
Results
26.0ms63×body1280valid
11.0ms43×body640valid
10.0ms154×body80valid
3.0ms16×body320valid
2.0ms14×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
28×times-frac
27×add-cube-cbrt *-un-lft-identity
14×associate-*r*
12×add-exp-log add-cbrt-cube
6×associate-/r* associate-/l*
5×pow1
3×cbrt-undiv div-exp associate-*l* div-inv add-log-exp
2×tan-quot frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod unswap-sqr
1×associate-*r/ pow-prod-down *-commutative
Counts
3 → 88
Calls
3 calls:
3.0ms
(/ 1.0 (sin B))
4.0ms
(/ 1.0 (tan B))
9.0ms
(* x (/ 1.0 (tan B)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ 1.0 (sin B))
36.0ms
(/ 1.0 (tan B))
133.0ms
(* x (/ 1.0 (tan B)))

simplify99.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0313479
11203438
24451438
35002438

prune263.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1.0 (sin B))
0.1b
(/ (* x 1.0) (tan B))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
6×associate-/r*
4×associate-/l*
3×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num div-inv add-log-exp
1×tan-quot prod-exp associate-/r/ cbrt-unprod
Counts
2 → 49
Calls
2 calls:
3.0ms
(/ 1.0 (sin B))
5.0ms
(/ (* x 1.0) (tan B))

series131.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ 1.0 (sin B))
112.0ms
(/ (* x 1.0) (tan B))

simplify90.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0236273
1924242
23785242
35002242

prune143.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
12×add-exp-log times-frac add-cbrt-cube
6×associate-/r*
5×pow1
4×associate-/l*
3×cbrt-undiv div-exp associate-*r* associate-*l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod div-inv
1×pow-prod-down *-commutative unswap-sqr
Counts
3 → 66
Calls
3 calls:
3.0ms
(/ 1.0 (sin B))
4.0ms
(* x (cos B))
5.0ms
(/ (* x (cos B)) (sin B))

series150.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(/ 1.0 (sin B))
36.0ms
(* x (cos B))
96.0ms
(/ (* x (cos B)) (sin B))

simplify106.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0241366
1975319
24705319
35001319

prune188.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1.0 (sin B))
18.0ms
(/ 1.0 (sin B))
102.0ms
(* (* x (/ 1.0 (sin B))) (cos B))
57.0ms
(* x (/ 1.0 (sin B)))

simplify46.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0315645
11562560
25001560

prune280.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128
1128

end0.0ms

sample1.7s

Algorithm
intervals
Results
722.0ms1763×body1280valid
362.0ms1392×body640valid
279.0ms4931×body80valid
120.0ms667×body320valid
48.0ms356×body160valid