Details

Time bar (total: 33.4s)

sample852.0ms

Algorithm
intervals
Results
624.0ms293×body10240exit
73.0ms285×body80valid
6.0ms11×body160valid

simplify541.0ms

Counts
1 → 1

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.4b

localize18.0ms

Local error

Found 4 expressions with local error:

7.2b
(/ (tan (* PI l)) (* F F))
3.5b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite53.0ms

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×insert-posit16 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 → 70
Calls
4 calls:
Slowest
23.0ms
(tan (* PI l))
17.0ms
(/ (tan (* PI l)) (* F F))
6.0ms
(* PI l)
5.0ms
(* PI l)

series356.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
166.0ms
(/ (tan (* PI l)) (* F F))
114.0ms
(tan (* PI l))
38.0ms
(* PI l)
38.0ms
(* PI l)

simplify855.0ms

Counts
82 → 82

prune907.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

3.5b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite41.0ms

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:
Slowest
21.0ms
(/ (tan (* PI l)) F)
8.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series633.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
422.0ms
(tan (* PI l))
147.0ms
(/ (tan (* PI l)) F)
35.0ms
(* PI l)
29.0ms
(* PI l)

simplify1.8s

Counts
88 → 88

prune973.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

3.5b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(* (tan (* PI l)) (/ 1 F))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
19×associate-*r*
17×*-un-lft-identity add-exp-log
16×add-cube-cbrt
13×add-cbrt-cube
11×times-frac
10×pow1
9×associate-*l*
6×prod-exp
5×unswap-sqr
4×cbrt-unprod insert-posit16 add-log-exp
3×pow-prod-down tan-quot *-commutative
2×div-exp
1×frac-times cbrt-undiv rec-exp 1-exp associate-*l/ associate-*r/ un-div-inv div-inv
Counts
4 → 86
Calls
4 calls:
Slowest
28.0ms
(* (tan (* PI l)) (/ 1 F))
8.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series273.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
152.0ms
(* (tan (* PI l)) (/ 1 F))
75.0ms
(tan (* PI l))
24.0ms
(* PI l)
22.0ms
(* PI l)

simplify988.0ms

Counts
98 → 98

prune1.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

3.5b
(tan (* PI l))
1.0b
(/ 1 (/ F (tan (* PI l))))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite51.0ms

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:
Slowest
19.0ms
(/ 1 (/ F (tan (* PI l))))
11.0ms
(* PI l)
10.0ms
(* PI l)
8.0ms
(tan (* PI l))

series305.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
138.0ms
(/ 1 (/ F (tan (* PI l))))
87.0ms
(tan (* PI l))
41.0ms
(* PI l)
38.0ms
(* PI l)

simplify1.2s

Counts
140 → 140

prune1.2s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.3b

regimes653.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample20.6s

Algorithm
intervals
Results
18.0s7589×body10240exit
2.0s8878×body80valid
126.0ms267×body160valid