Details

Time bar (total: 42.7s)

sample1.2s

Algorithm
intervals
Results
945.0ms228×body10240exit
57.0ms268×body80valid
8.0ms15×body160valid

simplify175.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
175.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.8b

localize18.0ms

Local error

Found 4 expressions with local error:

6.1b
(/ (tan (* PI l)) (* F F))
5.8b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite37.0ms

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
16.0ms
(/ (tan (* PI l)) (* F F))
9.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series283.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
136.0ms
(/ (tan (* PI l)) (* F F))
103.0ms
(tan (* PI l))
21.0ms
(* PI l)
21.0ms
(* PI l)

simplify2.1s

Counts
43 → 90
Calls
43 calls:
Slowest
368.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
321.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
298.0ms
(* (* (* PI PI) PI) (* (* l l) l))
293.0ms
(+ (/ (* PI l) (pow F 2)) (+ (* 2/15 (/ (* (pow PI 5) (pow l 5)) (pow F 2))) (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2)))))
275.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune846.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize16.0ms

Local error

Found 4 expressions with local error:

5.8b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite56.0ms

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
23.0ms
(/ (tan (* PI l)) F)
15.0ms
(* PI l)
9.0ms
(tan (* PI l))
7.0ms
(* PI l)

series229.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
99.0ms
(/ (tan (* PI l)) F)
86.0ms
(tan (* PI l))
23.0ms
(* PI l)
21.0ms
(* PI l)

simplify1.7s

Counts
55 → 96
Calls
55 calls:
Slowest
406.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
303.0ms
(* (* (* PI PI) PI) (* (* l l) l))
228.0ms
(* (* (* PI PI) PI) (* (* l l) l))
210.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
185.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))

prune1.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.7b

localize21.0ms

Local error

Found 4 expressions with local error:

5.8b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(* (/ 1 F) (/ (tan (* PI l)) F))

rewrite54.0ms

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
19.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
18.0ms
(tan (* PI l))
10.0ms
(* PI l)
5.0ms
(* PI l)

series352.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
197.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
84.0ms
(tan (* PI l))
38.0ms
(* PI l)
33.0ms
(* PI l)

simplify4.2s

Counts
82 → 124
Calls
82 calls:
Slowest
494.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))
279.0ms
(* (* (* PI PI) PI) (* (* l l) l))
266.0ms
(* (* (* PI PI) PI) (* (* l l) l))
250.0ms
(* (/ (* (* 1 1) 1) (* (* F F) F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))
196.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))

prune1.4s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.7b

localize36.0ms

Local error

Found 4 expressions with local error:

5.8b
(tan (* PI l))
1.1b
(/ 1 (/ F (tan (* PI l))))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite48.0ms

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
16.0ms
(tan (* PI l))
15.0ms
(/ 1 (/ F (tan (* PI l))))
9.0ms
(* PI l)
6.0ms
(* PI l)

series276.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
145.0ms
(/ 1 (/ F (tan (* PI l))))
77.0ms
(tan (* PI l))
29.0ms
(* PI l)
24.0ms
(* PI l)

simplify6.6s

Counts
138 → 148
Calls
138 calls:
Slowest
436.0ms
(/ (* (* 1 1) 1) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l)))))
339.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
326.0ms
(* (* (* PI PI) PI) (* (* l l) l))
307.0ms
(* (* (* PI PI) PI) (* (* l l) l))
229.0ms
(/ (sqrt 1) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))

prune1.5s

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.7b

regimes422.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample20.3s

Algorithm
intervals
Results
17.7s7716×body10240exit
2.0s8902×body80valid
121.0ms253×body160valid