Details

Time bar (total: 7.4s)

sample384.0ms

Algorithm
intervals
Results
62.0ms20×body2560valid
38.0ms51×body1280valid
11.0ms33×body640valid
9.0ms141×body80valid
4.0ms17×body320valid
1.0ms7×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
4.9b
(* (/ 1.0 (* F F)) (tan (* PI l)))
29.8b
(tan (* PI l))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity
10×pow1
9×associate-*r*
6×prod-exp cbrt-unprod
4×times-frac add-log-exp unswap-sqr
3×tan-quot pow-prod-down *-commutative
2×cbrt-undiv div-exp
1×frac-times associate-*r/ associate-*l/ div-inv
Counts
4 → 74
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(* PI l)
17.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series247.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
20.0ms
(* PI l)
137.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
71.0ms
(tan (* PI l))

simplify41.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0306403
11397345
25002345

prune222.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 10.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.4b
(* (/ 1.0 F) (tan (* PI l)))
29.8b
(tan (* PI l))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
19×associate-*l*
16×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
10×pow1 times-frac
9×associate-*r*
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
3×tan-quot pow-prod-down *-commutative
1×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ div-inv
Counts
4 → 78
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(* PI l)
11.0ms
(* (/ 1.0 F) (tan (* PI l)))
5.0ms
(tan (* PI l))

series225.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI l)
19.0ms
(* PI l)
125.0ms
(* (/ 1.0 F) (tan (* PI l)))
61.0ms
(tan (* PI l))

simplify85.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune256.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt PI) (* (sqrt PI) l))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
29.7b
(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×add-exp-log sqrt-prod add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×rem-sqrt-square sqrt-pow1 pow1/2
1×tan-quot associate-*r* *-commutative
Counts
4 → 55
Calls
4 calls:
10.0ms
(* (sqrt PI) (* (sqrt PI) l))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
5.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

series87.0ms

Counts
4 → 8
Calls
4 calls:
20.0ms
(* (sqrt PI) (* (sqrt PI) l))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
67.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify154.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0150236
1482202
21448202
34933202
45002202

prune222.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.2b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
1.0b
(sqrt PI)
29.8b
(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×sqrt-prod
7×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log add-cbrt-cube add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
1×tan-quot
Counts
4 → 47
Calls
4 calls:
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
10.0ms
(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

series68.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
65.0ms
(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

simplify38.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
089218
1244199
2874199
35001199

prune185.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 10.2b

regimes372.0ms

Accuracy

0% (0.3b remaining)

Error of 12.1b against oracle of 11.8b and baseline of 12.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02419
12419

end0.0ms

sample4.7s

Algorithm
intervals
Results
2.4s773×body2560valid
1.2s1713×body1280valid
343.0ms940×body640valid
318.0ms4532×body80valid
116.0ms5×body10240exit
89.0ms387×body320valid
36.0ms209×body160valid