Details

Time bar (total: 42.0s)

sample1.1s

Algorithm
intervals
Results
618.0ms251×body10240exit
117.0ms291×body80valid
6.0ms12×body160valid

simplify211.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
210.0ms
(- (* PI l) (* (/ 1 (* F F)) (tan (* PI l))))

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.9b

localize17.0ms

Local error

Found 4 expressions with local error:

8.1b
(/ (tan (* PI l)) (* F F))
4.6b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)

rewrite45.0ms

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
15.0ms
(/ (tan (* PI l)) (* F F))
14.0ms
(* PI l)
9.0ms
(tan (* PI l))
5.0ms
(* PI l)

series364.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
191.0ms
(/ (tan (* PI l)) (* F F))
97.0ms
(tan (* PI l))
38.0ms
(* PI l)
37.0ms
(* PI l)

simplify2.2s

Counts
43 → 90
Calls
43 calls:
Slowest
473.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) (* F F)) (* F F)))
341.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (* F F) F) (* (* F F) F)))
326.0ms
(+ (/ (* 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)))))
288.0ms
(* (* (* PI PI) PI) (* (* l l) l))
238.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))

prune1.4s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.8b

localize17.0ms

Local error

Found 4 expressions with local error:

4.6b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(/ (tan (* PI l)) F)

rewrite47.0ms

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)
10.0ms
(* PI l)
8.0ms
(tan (* PI l))
5.0ms
(* PI l)

series254.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
116.0ms
(/ (tan (* PI l)) F)
85.0ms
(tan (* PI l))
26.0ms
(* PI l)
26.0ms
(* PI l)

simplify1.8s

Counts
55 → 96
Calls
55 calls:
Slowest
445.0ms
(/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F))
301.0ms
(* (* (* PI PI) PI) (* (* l l) l))
284.0ms
(* (* (* PI PI) PI) (* (* l l) l))
203.0ms
(+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l)))
169.0ms
(+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F))))

prune1.0s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 0.7b

localize38.0ms

Local error

Found 4 expressions with local error:

4.6b
(tan (* PI l))
0.3b
(* PI l)
0.3b
(* PI l)
0.2b
(* (/ 1 F) (/ (tan (* PI l)) F))

rewrite38.0ms

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
18.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
8.0ms
(tan (* PI l))
5.0ms
(* PI l)
5.0ms
(* PI l)

series303.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
168.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
64.0ms
(tan (* PI l))
37.0ms
(* PI l)
34.0ms
(* PI l)

simplify4.2s

Counts
82 → 124
Calls
82 calls:
Slowest
504.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)))
326.0ms
(* (* (* PI PI) PI) (* (* l l) l))
271.0ms
(* (* (* PI PI) PI) (* (* l l) l))
262.0ms
(* (/ (* (* 1 1) 1) (* (* F F) F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))
195.0ms
(* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)))

prune1.3s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.7b

localize38.0ms

Local error

Found 4 expressions with local error:

24.2b
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
24.2b
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
24.2b
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
4.6b
(tan (* PI l))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-div
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod frac-times pow1/3 associate-*l/ associate-*r/
1×tan-quot
Counts
4 → 56
Calls
4 calls:
Slowest
12.0ms
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
10.0ms
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
8.0ms
(tan (* PI l))
6.0ms
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))

series897.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
284.0ms
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
271.0ms
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
242.0ms
(cbrt (* (/ 1 F) (/ (tan (* PI l)) F)))
99.0ms
(tan (* PI l))

simplify3.8s

Counts
24 → 68
Calls
24 calls:
Slowest
536.0ms
(+ (* 1/9 (* (exp (* 1/3 (- (+ (log l) (log PI)) (* 2 (log F))))) (* (pow PI 2) (pow l 2)))) (exp (* 1/3 (- (+ (log l) (log PI)) (* 2 (log F))))))
488.0ms
(+ (* 1/9 (* (exp (* 1/3 (- (+ (log l) (log PI)) (* 2 (log F))))) (* (pow PI 2) (pow l 2)))) (exp (* 1/3 (- (+ (log l) (log PI)) (* 2 (log F))))))
477.0ms
(+ (* 1/9 (* (exp (* 1/3 (- (+ (log l) (log PI)) (* 2 (log F))))) (* (pow PI 2) (pow l 2)))) (exp (* 1/3 (- (+ (log l) (log PI)) (* 2 (log F))))))
442.0ms
(exp (* 1/3 (+ (* 2 (log (/ 1 F))) (log (/ (sin (* PI l)) (cos (* PI l)))))))
440.0ms
(exp (* 1/3 (+ (* 2 (log (/ 1 F))) (log (/ (sin (* PI l)) (cos (* PI l)))))))

prune966.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.7b

regimes649.0ms

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.5b and baseline of 1.0b

bsearch3.0ms

end0.0ms

sample21.2s

Algorithm
intervals
Results
18.6s7882×body10240exit
2.0s8909×body80valid
162.0ms261×body160valid