Details

Time bar (total: 54.8s)

sample1.4s

Algorithm
intervals
Results
811.0ms280×body10240exit
193.0ms269×body80valid
6.0ms10×body160valid

simplify416.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
415.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.0b

localize23.0ms

Local error

Found 4 expressions with local error:

7.4b
(/ (tan (* PI l)) (* F F))
2.8b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite40.0ms

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
17.0ms
(/ (tan (* PI l)) (* F F))
10.0ms
(tan (* PI l))
6.0ms
(* PI l)
5.0ms
(* PI l)

series254.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
142.0ms
(/ (tan (* PI l)) (* F F))
64.0ms
(tan (* PI l))
25.0ms
(* PI l)
23.0ms
(* PI l)

simplify3.8s

Counts
95 → 90
Calls
95 calls:
Slowest
407.0ms
(* (* (* PI PI) PI) (* (* l l) l))
407.0ms
(/ (* F F) (cbrt (tan (* PI l))))
373.0ms
(* (* (* PI PI) PI) (* (* l l) l))
360.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
334.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))

prune884.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.7b

localize30.0ms

Local error

Found 4 expressions with local error:

2.8b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite45.0ms

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
17.0ms
(tan (* PI l))
15.0ms
(/ (tan (* PI l)) F)
7.0ms
(* PI l)
5.0ms
(* PI l)

series307.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
144.0ms
(/ (tan (* PI l)) F)
105.0ms
(tan (* PI l))
29.0ms
(* PI l)
28.0ms
(* PI l)

simplify3.2s

Counts
107 → 96
Calls
107 calls:
Slowest
463.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
409.0ms
(* (* (* PI PI) PI) (* (* l l) l))
368.0ms
(* (* (* PI PI) PI) (* (* l l) l))
227.0ms
(* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F))
221.0ms
(* (* (* PI l) (* PI l)) (* PI l))

prune993.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.6b

localize32.0ms

Local error

Found 4 expressions with local error:

2.8b
(tan (* PI l))
0.6b
(/ 1 (/ F (tan (* PI l))))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite38.0ms

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
17.0ms
(/ 1 (/ F (tan (* PI l))))
8.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series253.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
147.0ms
(/ 1 (/ F (tan (* PI l))))
65.0ms
(tan (* PI l))
21.0ms
(* PI l)
20.0ms
(* PI l)

simplify9.3s

Counts
191 → 148
Calls
191 calls:
Slowest
564.0ms
(/ (* (* 1 1) 1) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l)))))
448.0ms
(* (* (/ 1 (/ F (tan (* PI l)))) (/ 1 (/ F (tan (* PI l))))) (/ 1 (/ F (tan (* PI l)))))
362.0ms
(* (* (* PI PI) PI) (* (* l l) l))
340.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
319.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.5s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.6b

localize18.0ms

Local error

Found 4 expressions with local error:

2.8b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(* (/ 1 F) (/ (tan (* PI l)) F))

rewrite42.0ms

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
17.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
13.0ms
(tan (* PI l))
6.0ms
(* PI l)
6.0ms
(* PI l)

series296.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
181.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
65.0ms
(tan (* PI l))
29.0ms
(* PI l)
21.0ms
(* PI l)

simplify10.1s

Counts
131 → 124
Calls
131 calls:
Slowest
591.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))
536.0ms
(* (/ 1 F) (/ (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (* (cbrt F) (cbrt F))))
525.0ms
(exp (* (/ 1 F) (/ (tan (* PI l)) F)))
425.0ms
(* (* (* (/ 1 F) (/ (tan (* PI l)) F)) (* (/ 1 F) (/ (tan (* PI l)) F))) (* (/ 1 F) (/ (tan (* PI l)) F)))
388.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.2s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.6b

regimes498.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch3.0ms

end0.0ms

sample20.1s

Algorithm
intervals
Results
17.6s7450×body10240exit
2.0s8907×body80valid
118.0ms237×body160valid