Details

Time bar (total: 9.0s)

sample379.0ms

Algorithm
intervals
Results
63.0ms19×body2560valid
36.0ms49×body1280valid
10.0ms29×body640valid
10.0ms151×body80valid
3.0ms14×body320valid
1.0ms6×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1417
2827
31227
41477
51577
61597
71597

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.4b
(/ 1.0 (* F F))
5.8b
(* (/ 1.0 (* F F)) (tan (* PI l)))
27.2b
(tan (* PI l))

rewrite44.0ms

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 expm1-log1p-u div-exp log1p-expm1-u 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 → 85
Calls
4 calls:
4.0ms
(* PI l)
3.0ms
(/ 1.0 (* F F))
16.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series256.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
24.0ms
(/ 1.0 (* F F))
138.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
74.0ms
(tan (* PI l))

simplify48.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0334468
11442399
25001398

prune253.0ms

Filtered
97 candidates to 69 candidates (71.1%)
Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.3b
(* (/ (cbrt 1.0) F) (tan (* PI l)))
27.2b
(tan (* PI l))

rewrite28.0ms

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
12×add-cbrt-cube
10×pow1 cbrt-prod
9×associate-*r*
5×unswap-sqr
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u 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 → 96
Calls
4 calls:
6.0ms
(* PI l)
3.0ms
(* PI l)
15.0ms
(* (/ (cbrt 1.0) F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series272.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* PI l)
19.0ms
(* PI l)
166.0ms
(* (/ (cbrt 1.0) F) (tan (* PI l)))
62.0ms
(tan (* PI l))

simplify93.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0303519
11044478
24000476
35001475

prune377.0ms

Filtered
108 candidates to 82 candidates (75.9%)
Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 9.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* (cbrt 1.0) (tan (* PI l))) F)
0.2b
(* PI l)
0.2b
(* PI l)
27.2b
(tan (* PI l))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-exp-log
12×add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
8×pow1
6×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac prod-exp associate-/r* cbrt-unprod
2×tan-quot cbrt-undiv div-exp pow-prod-down *-commutative unswap-sqr
1×frac-2neg associate-*r/ clear-num div-inv associate-/l/ associate-/l*
Counts
4 → 74
Calls
4 calls:
9.0ms
(/ (* (cbrt 1.0) (tan (* PI l))) F)
3.0ms
(* PI l)
3.0ms
(* PI l)
2.0ms
(tan (* PI l))

series276.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(/ (* (cbrt 1.0) (tan (* PI l))) F)
19.0ms
(* PI l)
25.0ms
(* PI l)
61.0ms
(tan (* PI l))

simplify118.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
0264362
11059321
24830320
35001319

prune303.0ms

Filtered
86 candidates to 63 candidates (73.3%)
Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 9.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.3b
(/ F (tan (* PI l)))
0.6b
(/ (cbrt 1.0) (/ F (tan (* PI l))))
27.2b
(tan (* PI l))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
95×add-sqr-sqrt
93×add-cube-cbrt *-un-lft-identity
45×cbrt-prod
17×associate-/r*
13×add-exp-log
11×add-cbrt-cube
9×tan-quot associate-/r/ div-inv associate-/l*
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×frac-2neg clear-num
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 181
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(/ F (tan (* PI l)))
9.0ms
(/ (cbrt 1.0) (/ F (tan (* PI l))))
2.0ms
(tan (* PI l))

series394.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
143.0ms
(/ F (tan (* PI l)))
167.0ms
(/ (cbrt 1.0) (/ F (tan (* PI l))))
66.0ms
(tan (* PI l))

simplify64.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06031775
124231723
250021699

prune611.0ms

Filtered
193 candidates to 150 candidates (77.7%)
Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.0b

regimes327.0ms

Accuracy

0% (0.4b remaining)

Error of 8.5b against oracle of 8.1b and baseline of 8.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02015
12015

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.6s853×body2560valid
1.2s1665×body1280valid
368.0ms989×body640valid
297.0ms4491×body80valid
186.0ms8×body10240exit
104.0ms418×body320valid
32.0ms204×body160valid