Details

Time bar (total: 40.8s)

sample1.0s

Algorithm
intervals
Results
805.0ms251×body10240exit
126.0ms285×body80valid
5.0ms4×body160valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
12974
11974
10972
9868
8710
7513
6412
5279
4149
390
243
119
010

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize37.0ms

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))

rewrite34.0ms

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:
11.0ms
(/ (tan (* PI l)) F)
5.0ms
(* PI l)
6.0ms
(* PI l)
10.0ms
(tan (* PI l))

series313.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(/ (tan (* PI l)) F)
41.0ms
(* PI l)
30.0ms
(* PI l)
110.0ms
(tan (* PI l))

simplify2.0s

Counts
96 → 96
Iterations
IterNodes
44376
31479
2556
1219
0114

prune945.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

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))

rewrite80.0ms

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:
11.0ms
(* PI l)
16.0ms
(* PI l)
31.0ms
(/ 1 (/ F (tan (* PI l))))
18.0ms
(tan (* PI l))

series379.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* PI l)
37.0ms
(* PI l)
199.0ms
(/ 1 (/ F (tan (* PI l))))
106.0ms
(tan (* PI l))

simplify2.1s

Counts
148 → 148
Iterations
IterNodes
32710
21033
1464
0207

prune1.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

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))

rewrite49.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 88
Calls
4 calls:
5.0ms
(* PI l)
5.0ms
(* PI l)
22.0ms
(/ 1 (tan (* PI l)))
15.0ms
(tan (* PI l))

series292.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* PI l)
40.0ms
(* PI l)
111.0ms
(/ 1 (tan (* PI l)))
101.0ms
(tan (* PI l))

simplify1.7s

Counts
100 → 100
Iterations
IterNodes
43608
31188
2475
1207
0111

prune1.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize40.0ms

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)))

rewrite67.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 126
Calls
4 calls:
37.0ms
(/ 1 (/ F (tan (* (sqrt PI) (* (sqrt PI) l)))))
1.0ms
(sqrt PI)
1.0ms
(sqrt PI)
26.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

series260.0ms

Counts
4 → 8
Calls
4 calls:
186.0ms
(/ 1 (/ F (tan (* (sqrt PI) (* (sqrt PI) l)))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
73.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify4.9s

Counts
134 → 134
Iterations
IterNodes
32870
21031
1447
0199

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

regimes469.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
212
112
011

end0.0ms

sample20.2s

Algorithm
intervals
Results
17.5s7589×body10240exit
2.0s8868×body80valid
154.0ms266×body160valid