Details

Time bar (total: 35.0s)

sample640.0ms

Algorithm
intervals
Results
490.0ms234×body10240exit
71.0ms296×body80valid
1.0ms2×body160valid

simplify879.0ms

Counts
1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.0b

localize20.0ms

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)

rewrite70.0ms

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
30.0ms
(/ (tan (* PI l)) (* F F))
16.0ms
(tan (* PI l))
10.0ms
(* PI l)
10.0ms
(* PI l)

series319.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
175.0ms
(/ (tan (* PI l)) (* F F))
73.0ms
(tan (* PI l))
38.0ms
(* PI l)
33.0ms
(* PI l)

simplify922.0ms

Counts
82 → 82

prune899.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.4b

localize36.0ms

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)

rewrite59.0ms

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
20.0ms
(/ (tan (* PI l)) F)
16.0ms
(tan (* PI l))
10.0ms
(* PI l)
10.0ms
(* PI l)

series305.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
153.0ms
(/ (tan (* PI l)) F)
98.0ms
(tan (* PI l))
31.0ms
(* PI l)
22.0ms
(* PI l)

simplify1.7s

Counts
88 → 88

prune834.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.4b

localize37.0ms

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))

rewrite73.0ms

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×cbrt-undiv insert-posit16 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 → 104
Calls
4 calls:
Slowest
28.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
20.0ms
(tan (* PI l))
11.0ms
(* PI l)
11.0ms
(* PI l)

series362.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
209.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
79.0ms
(tan (* PI l))
40.0ms
(* PI l)
34.0ms
(* PI l)

simplify1.8s

Counts
116 → 116

prune1.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.4b

localize59.0ms

Local error

Found 4 expressions with local error:

24.7b
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
24.7b
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
24.7b
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
2.2b
(tan (* PI l))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-div
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 add-log-exp
3×cbrt-prod frac-times pow1/3 associate-*l/ associate-*r/
1×tan-quot
Counts
4 → 48
Calls
4 calls:
Slowest
9.0ms
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
9.0ms
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
8.0ms
(tan (* PI l))
6.0ms
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
324.0ms
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
323.0ms
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
299.0ms
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
88.0ms
(tan (* PI l))

simplify1.6s

Counts
60 → 60

prune744.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.4b

regimes470.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample20.9s

Algorithm
intervals
Results
17.9s7812×body10240exit
2.4s8923×body80valid
114.0ms233×body160valid