Details

Time bar (total: 35.9s)

sample1.2s

Algorithm
intervals
Results
878.0ms264×body10240exit
75.0ms292×body80valid
7.0ms7×body160valid

simplify445.0ms

Counts
1 → 1

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.9b

localize24.0ms

Local error

Found 4 expressions with local error:

9.7b
(/ (tan (* PI l)) (* F F))
3.4b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-cbrt-cube add-exp-log
10×*-un-lft-identity add-cube-cbrt
8×pow1
6×associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×times-frac prod-exp cbrt-unprod associate-/l*
2×cbrt-undiv div-exp pow-prod-down tan-quot *-commutative unswap-sqr
1×clear-num associate-/r* frac-2neg div-inv associate-/l/
Counts
4 → 78
Calls
4 calls:
Slowest
32.0ms
(/ (tan (* PI l)) (* F F))
9.0ms
(tan (* PI l))
6.0ms
(* PI l)
6.0ms
(* PI l)

series369.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
190.0ms
(/ (tan (* PI l)) (* F F))
102.0ms
(tan (* PI l))
39.0ms
(* PI l)
37.0ms
(* PI l)

simplify871.0ms

Counts
90 → 90

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

3.4b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
10×add-cbrt-cube add-exp-log
9×times-frac
8×pow1
6×associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×pow-prod-down prod-exp tan-quot *-commutative cbrt-unprod unswap-sqr
1×cbrt-undiv clear-num frac-2neg div-exp div-inv associate-/l/
Counts
4 → 84
Calls
4 calls:
Slowest
19.0ms
(/ (tan (* PI l)) F)
16.0ms
(tan (* PI l))
7.0ms
(* PI l)
5.0ms
(* PI l)

series260.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
122.0ms
(/ (tan (* PI l)) F)
78.0ms
(tan (* PI l))
36.0ms
(* PI l)
24.0ms
(* PI l)

simplify1.8s

Counts
96 → 96

prune906.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

localize39.0ms

Local error

Found 4 expressions with local error:

3.4b
(tan (* PI l))
0.5b
(/ 1 (/ F (tan (* PI l))))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
55×add-sqr-sqrt
51×*-un-lft-identity add-cube-cbrt
19×add-exp-log
14×associate-/r*
13×add-cbrt-cube
9×pow1
7×div-exp
6×associate-*r* associate-*l*
5×tan-quot associate-/r/ div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/l*
2×rec-exp 1-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×clear-num frac-2neg pow-flip inv-pow
Counts
4 → 136
Calls
4 calls:
Slowest
29.0ms
(/ 1 (/ F (tan (* PI l))))
17.0ms
(tan (* PI l))
11.0ms
(* PI l)
11.0ms
(* PI l)

series311.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
170.0ms
(/ 1 (/ F (tan (* PI l))))
84.0ms
(tan (* PI l))
32.0ms
(* PI l)
25.0ms
(* PI l)

simplify1.3s

Counts
148 → 148

prune1.5s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

3.4b
(tan (* PI l))
0.3b
(/ 1 (tan (* PI l)))
0.3b
(/ (/ 1 F) (/ 1 (tan (* PI l))))
0.3b
(* PI l)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
452×times-frac
219×add-sqr-sqrt
217×*-un-lft-identity add-cube-cbrt
50×add-exp-log
34×div-exp
31×div-inv
20×add-cbrt-cube
17×associate-/r*
16×tan-quot associate-/r/ associate-/l*
9×cbrt-undiv rec-exp 1-exp
7×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×clear-num frac-2neg
1×pow-prod-down prod-exp *-commutative cbrt-unprod pow-flip inv-pow unswap-sqr associate-/l/
Counts
4 → 311
Calls
4 calls:
Slowest
27.0ms
(/ (/ 1 F) (/ 1 (tan (* PI l))))
13.0ms
(/ 1 (tan (* PI l)))
11.0ms
(* PI l)
9.0ms
(tan (* PI l))

series440.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
183.0ms
(/ (/ 1 F) (/ 1 (tan (* PI l))))
121.0ms
(/ 1 (tan (* PI l)))
109.0ms
(tan (* PI l))
28.0ms
(* PI l)

simplify894.0ms

Counts
323 → 323

prune3.3s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.3b

regimes430.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch2.0ms

end0.0ms

sample20.4s

Algorithm
intervals
Results
17.5s7713×body10240exit
2.3s8809×body80valid
134.0ms290×body160valid