Details

Time bar (total: 38.2s)

sample1.1s

Algorithm
intervals
Results
834.0ms251×body10240exit
129.0ms285×body80valid
2.0ms4×body160valid

simplify998.0ms

Counts
1 → 1
Iterations
IterNodes
11939
10939
9887
8713
7493
6401
5274
4144
385
241
118
010

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
2.5b
(tan (* PI l))

rewrite57.0ms

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×insert-posit16 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 → 76
Calls
4 calls:
12.0ms
(/ (tan (* PI l)) F)
6.0ms
(* PI l)
10.0ms
(* PI l)
27.0ms
(tan (* PI l))

series340.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(/ (tan (* PI l)) F)
38.0ms
(* PI l)
38.0ms
(* PI l)
104.0ms
(tan (* PI l))

simplify1.8s

Counts
88 → 88
Iterations
IterNodes
44421
31440
2539
1211
0108

prune942.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.8b
(/ 1 (/ F (tan (* PI l))))
2.5b
(tan (* PI l))

rewrite50.0ms

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×insert-posit16 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 → 128
Calls
4 calls:
12.0ms
(* PI l)
9.0ms
(* PI l)
16.0ms
(/ 1 (/ F (tan (* PI l))))
9.0ms
(tan (* PI l))

series313.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* PI l)
30.0ms
(* PI l)
156.0ms
(/ 1 (/ F (tan (* PI l))))
88.0ms
(tan (* PI l))

simplify4.1s

Counts
140 → 140
Iterations
IterNodes
33208
21095
1455
0201

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(/ 1 (tan (* PI l)))
2.5b
(tan (* PI l))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
12×add-exp-log
10×add-cbrt-cube
9×pow1 times-frac
6×associate-*r* associate-*l*
4×insert-posit16 add-log-exp
3×associate-/r* associate-/l*
2×div-exp pow-prod-down prod-exp tan-quot *-commutative cbrt-unprod unswap-sqr
1×cbrt-undiv rec-exp clear-num frac-2neg 1-exp associate-/r/ div-inv pow-flip inv-pow
Counts
4 → 80
Calls
4 calls:
8.0ms
(* PI l)
11.0ms
(* PI l)
18.0ms
(/ 1 (tan (* PI l)))
12.0ms
(tan (* PI l))

series283.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* PI l)
33.0ms
(* PI l)
143.0ms
(/ 1 (tan (* PI l)))
79.0ms
(tan (* PI l))

simplify1.3s

Counts
92 → 92
Iterations
IterNodes
43331
31132
2455
1198
0105

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize62.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 1 (/ F (tan (* (sqrt PI) (* (sqrt PI) l)))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
2.5b
(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
51×add-sqr-sqrt
49×*-un-lft-identity add-cube-cbrt
15×add-exp-log
14×associate-/r*
9×add-cbrt-cube
7×pow1 div-exp
6×sqrt-prod
5×tan-quot associate-/r/ div-inv
4×insert-posit16 add-log-exp
3×cbrt-undiv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp
1×clear-num frac-2neg pow-flip inv-pow
Counts
4 → 118
Calls
4 calls:
76.0ms
(/ 1 (/ F (tan (* (sqrt PI) (* (sqrt PI) l)))))
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)
51.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

series269.0ms

Counts
4 → 8
Calls
4 calls:
186.0ms
(/ 1 (/ F (tan (* (sqrt PI) (* (sqrt PI) l)))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
83.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify2.1s

Counts
126 → 126
Iterations
IterNodes
32244
2909
1437
0193

prune1.4s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

regimes529.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
212
112
011

end0.0ms

sample19.8s

Algorithm
intervals
Results
16.6s7589×body10240exit
2.6s8868×body80valid
128.0ms266×body160valid