Details

Time bar (total: 41.2s)

sample710.0ms

Algorithm
intervals
Results
570.0ms279×body10240exit
60.0ms284×body80valid
4.0ms9×body160valid

simplify293.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
292.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.9b

localize37.0ms

Local error

Found 4 expressions with local error:

7.7b
(/ (tan (* PI l)) (* F F))
3.3b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* 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×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
28.0ms
(/ (tan (* PI l)) (* F F))
16.0ms
(tan (* PI l))
11.0ms
(* PI l)
11.0ms
(* PI l)

series727.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
436.0ms
(* PI l)
184.0ms
(/ (tan (* PI l)) (* F F))
79.0ms
(tan (* PI l))
26.0ms
(* PI l)

simplify2.1s

Counts
43 → 90
Calls
43 calls:
Slowest
363.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
362.0ms
(+ (/ (* 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)))))
345.0ms
(* (* (* PI PI) PI) (* (* l l) l))
312.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
216.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune913.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

3.3b
(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×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))
12.0ms
(/ (tan (* PI l)) F)
6.0ms
(* PI l)
6.0ms
(* PI l)

series282.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
139.0ms
(/ (tan (* PI l)) F)
85.0ms
(tan (* PI l))
37.0ms
(* PI l)
21.0ms
(* PI l)

simplify1.8s

Counts
55 → 96
Calls
55 calls:
Slowest
455.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
320.0ms
(* (* (* PI PI) PI) (* (* l l) l))
288.0ms
(* (* (* PI PI) PI) (* (* l l) l))
168.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
148.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

3.3b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

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:
Slowest
12.0ms
(/ (tan (* PI l)) F)
9.0ms
(tan (* PI l))
6.0ms
(* PI l)
6.0ms
(* PI l)

series336.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
183.0ms
(/ (tan (* PI l)) F)
89.0ms
(tan (* PI l))
34.0ms
(* PI l)
29.0ms
(* PI l)

simplify1.7s

Counts
55 → 96
Calls
55 calls:
Slowest
434.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
292.0ms
(* (* (* PI PI) PI) (* (* l l) l))
256.0ms
(* (* (* PI PI) PI) (* (* l l) l))
176.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))
145.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune958.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

3.3b
(tan (* PI l))
0.5b
(/ 1 (/ F (tan (* PI l))))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite79.0ms

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
37.0ms
(/ 1 (/ F (tan (* PI l))))
17.0ms
(tan (* PI l))
11.0ms
(* PI l)
11.0ms
(* PI l)

series355.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
166.0ms
(/ 1 (/ F (tan (* PI l))))
112.0ms
(tan (* PI l))
39.0ms
(* PI l)
38.0ms
(* PI l)

simplify6.6s

Counts
138 → 148
Calls
138 calls:
Slowest
427.0ms
(/ (* (* 1 1) 1) (* (* (/ F (tan (* PI l))) (/ F (tan (* PI l)))) (/ F (tan (* PI l)))))
316.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
310.0ms
(* (* (* PI PI) PI) (* (* l l) l))
308.0ms
(/ (sqrt 1) (/ (* (cbrt F) (cbrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l))))))
260.0ms
(* (* (* PI PI) PI) (* (* l l) l))

prune1.4s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

regimes335.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample21.3s

Algorithm
intervals
Results
18.5s7791×body10240exit
2.2s8963×body80valid
140.0ms271×body160valid