Details

Time bar (total: 8.1s)

sample412.0ms

Algorithm
intervals
Results
85.0ms28×body2560valid
38.0ms52×body1280valid
11.0ms136×body80valid
10.0ms30×body640valid
3.0ms14×body320valid
1.0ms9×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.4b
(/ 1.0 (* F F))
4.6b
(* (/ 1.0 (* F F)) (tan (* PI l)))
30.8b
(tan (* PI l))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*l*
8×pow1
7×times-frac
6×associate-*r* prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp
3×tan-quot associate-/l* unswap-sqr
2×pow-prod-down *-commutative div-inv
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r*
Counts
4 → 77
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(/ 1.0 (* F F))
16.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series253.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI l)
24.0ms
(/ 1.0 (* F F))
135.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
73.0ms
(tan (* PI l))

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0323443
11416374
25001374

prune225.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 13.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(* (/ (sqrt 1.0) F) (tan (* PI l)))
30.8b
(tan (* PI l))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
28×associate-*l*
22×add-cube-cbrt *-un-lft-identity
20×times-frac
13×add-exp-log add-cbrt-cube
10×pow1 sqrt-prod
9×associate-*r*
5×unswap-sqr
4×prod-exp cbrt-unprod add-log-exp
3×tan-quot pow-prod-down *-commutative
1×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ div-inv
Counts
4 → 88
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(* PI l)
15.0ms
(* (/ (sqrt 1.0) F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series267.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
20.0ms
(* PI l)
163.0ms
(* (/ (sqrt 1.0) F) (tan (* PI l)))
65.0ms
(tan (* PI l))

simplify98.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0297498
11061455
24012454
35002454

prune311.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 13.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
30.8b
(tan (* PI l))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
9×times-frac
8×pow1
6×associate-*r* associate-*l*
4×add-log-exp
3×associate-/r* associate-/l*
2×tan-quot pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
4 → 72
Calls
4 calls:
3.0ms
(/ (tan (* PI l)) F)
3.0ms
(* PI l)
3.0ms
(* PI l)
2.0ms
(tan (* PI l))

series201.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ (tan (* PI l)) F)
19.0ms
(* PI l)
19.0ms
(* PI l)
65.0ms
(tan (* PI l))

simplify61.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203349
1665322
22215322
35001322

prune273.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 13.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt PI) (* (sqrt PI) l))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
30.6b
(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:
21.0ms
(* (sqrt PI) (* (sqrt PI) l))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
67.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify156.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0150236
1482202
21448202
34933202
45002202

prune189.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 13.7b

regimes439.0ms

Accuracy

0% (0.3b remaining)

Error of 13.0b against oracle of 12.7b and baseline of 13.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02217
12217

end0.0ms

sample4.9s

Algorithm
intervals
Results
2.6s830×body2560valid
1.3s1752×body1280valid
349.0ms974×body640valid
315.0ms4447×body80valid
93.0ms4×body10240exit
89.0ms391×body320valid
32.0ms207×body160valid