Details

Time bar (total: 5.2s)

sample303.0ms

Algorithm
intervals
Results
23.0ms57×body1280valid
10.0ms33×body640valid
10.0ms165×body80valid
5.0ms31×body320valid
2.0ms16×body160valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0187
1316
2396
3506
4536
5536

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
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))
0.1b
(/ 1.0 (tan B))
0.3b
(* x (/ 1.0 (tan B)))

rewrite42.0ms

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))))
17.0ms
(/ 1.0 (sin B))
4.0ms
(/ 1.0 (tan B))
9.0ms
(* x (/ 1.0 (tan B)))

series297.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
21.0ms
(/ 1.0 (sin B))
35.0ms
(/ 1.0 (tan B))
120.0ms
(* x (/ 1.0 (tan B)))

simplify47.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0386627
11479584
25001584

prune303.0ms

Filtered
113 candidates to 88 candidates (77.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1076113
Fresh000
Picked101
Done000
Total1086114

Merged error: 0.0b

Counts
114 → 6

localize15.0ms

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))

series263.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
39.0ms
(* x (cos B))
18.0ms
(/ 1.0 (sin B))
94.0ms
(/ (* x (cos B)) (sin B))

simplify43.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0333572
11375511
25001511

prune234.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New90393
Fresh235
Picked011
Done000
Total92799

Merged error: 0.0b

Counts
99 → 7

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)))

rewrite28.0ms

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))
4.0ms
(/ 1.0 (sin B))
7.0ms
(* (* x (/ 1.0 (sin B))) (cos B))
7.0ms
(* x (/ 1.0 (sin B)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ 1.0 (sin B))
22.0ms
(/ 1.0 (sin B))
101.0ms
(* (* x (/ 1.0 (sin B))) (cos B))
53.0ms
(* x (/ 1.0 (sin B)))

simplify48.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315645
11562560
25001560

prune287.0ms

Filtered
119 candidates to 84 candidates (70.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh055
Picked011
Done011
Total1197126

Merged error: 0.0b

Counts
126 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1.0 (sin B))) (cbrt (/ 1.0 (sin B))))
0.5b
(cbrt (/ 1.0 (sin B)))
0.5b
(cbrt (/ 1.0 (sin B)))
0.5b
(cbrt (/ 1.0 (sin B)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
13.0ms
(* (cbrt (/ 1.0 (sin B))) (cbrt (/ 1.0 (sin B))))
3.0ms
(cbrt (/ 1.0 (sin B)))
3.0ms
(cbrt (/ 1.0 (sin B)))
3.0ms
(cbrt (/ 1.0 (sin B)))

series594.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (cbrt (/ 1.0 (sin B))) (cbrt (/ 1.0 (sin B))))
133.0ms
(cbrt (/ 1.0 (sin B)))
136.0ms
(cbrt (/ 1.0 (sin B)))
137.0ms
(cbrt (/ 1.0 (sin B)))

simplify51.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03011430
111231366
250021300

prune525.0ms

Filtered
156 candidates to 122 candidates (78.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1533156
Fresh134
Picked101
Done022
Total1558163

Merged error: 0b

Counts
163 → 8

regimes76.0ms

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
0128
1128

end0.0ms

sample1.7s

Algorithm
intervals
Results
710.0ms1707×body1280valid
353.0ms1395×body640valid
304.0ms4920×body80valid
142.0ms784×body320valid
49.0ms362×body160valid