Details

Time bar (total: 35.4s)

sample800.0ms

Algorithm
intervals
Results
518.0ms234×body10240exit
98.0ms296×body80valid
1.0ms2×body160valid

simplify393.0ms

Counts
1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.0b

localize16.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (tan (* PI l)) (* F F))
2.2b
(tan (* PI l))
0.2b
(* PI l)
0.2b
(* PI l)

rewrite58.0ms

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
30.0ms
(/ (tan (* PI l)) (* F F))
11.0ms
(* PI l)
8.0ms
(tan (* PI l))
6.0ms
(* PI l)

series361.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
216.0ms
(/ (tan (* PI l)) (* F F))
77.0ms
(tan (* PI l))
36.0ms
(* PI l)
32.0ms
(* PI l)

simplify822.0ms

Counts
90 → 90

prune946.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 4 expressions with local error:

2.2b
(tan (* PI l))
0.2b
(* PI l)
0.2b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite61.0ms

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
22.0ms
(/ (tan (* PI l)) F)
16.0ms
(tan (* PI l))
11.0ms
(* PI l)
11.0ms
(* PI l)

series325.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
170.0ms
(/ (tan (* PI l)) F)
91.0ms
(tan (* PI l))
32.0ms
(* PI l)
32.0ms
(* PI l)

simplify2.2s

Counts
96 → 96

prune947.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.4b

localize23.0ms

Local error

Found 4 expressions with local error:

2.2b
(tan (* PI l))
0.2b
(* PI l)
0.2b
(* PI l)
0.2b
(* (/ 1 F) (/ (tan (* PI l)) F))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
30×add-exp-log
25×times-frac
24×*-un-lft-identity
22×add-cube-cbrt
20×add-cbrt-cube
19×associate-*r* associate-*l*
10×pow1 prod-exp
8×div-exp unswap-sqr
6×cbrt-unprod
4×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down *-commutative
2×rec-exp 1-exp div-inv
1×frac-times associate-*l/ tan-quot associate-*r/
Counts
4 → 112
Calls
4 calls:
Slowest
31.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
8.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series296.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
146.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
89.0ms
(tan (* PI l))
36.0ms
(* PI l)
25.0ms
(* PI l)

simplify1.9s

Counts
124 → 124

prune1.3s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.4b

localize26.0ms

Local error

Found 4 expressions with local error:

2.2b
(tan (* PI l))
1.0b
(/ 1 (/ F (tan (* PI l))))
0.2b
(* PI l)
0.2b
(* PI l)

rewrite44.0ms

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
24.0ms
(/ 1 (/ F (tan (* PI l))))
9.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series347.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
181.0ms
(/ 1 (/ F (tan (* PI l))))
106.0ms
(tan (* PI l))
36.0ms
(* PI l)
24.0ms
(* PI l)

simplify1.2s

Counts
148 → 148

prune1.4s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.4b

regimes398.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch2.0ms

end0.0ms

sample21.5s

Algorithm
intervals
Results
18.4s7812×body10240exit
2.5s8923×body80valid
114.0ms233×body160valid