Details

Time bar (total: 20.5s)

sample647.0ms

Algorithm
intervals
Results
223.0ms62×body1280valid
131.0ms135×body80valid
106.0ms19×body2560valid
37.0ms9×body160valid
25.0ms32×body640valid
8.0ms15×body320valid

simplify163.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
3.5b
(* (/ 1.0 (* F F)) (tan (* PI l)))
31.2b
(tan (* PI l))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity
10×pow1
9×associate-*r*
6×prod-exp cbrt-unprod
4×times-frac add-log-exp unswap-sqr
3×tan-quot pow-prod-down *-commutative
2×cbrt-undiv div-exp
1×frac-times associate-*r/ associate-*l/ div-inv
Counts
4 → 74
Calls
4 calls:
7.0ms
(* PI l)
8.0ms
(* PI l)
59.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
10.0ms
(tan (* PI l))

series296.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* PI l)
31.0ms
(* PI l)
143.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
83.0ms
(tan (* PI l))

simplify608.0ms

Counts
86 → 86

prune293.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 11.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(* (/ (sqrt 1.0) F) (tan (* PI l)))
31.2b
(tan (* PI l))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
28×associate-*l*
22×add-cube-cbrt *-un-lft-identity
20×times-frac
13×add-exp-log add-cbrt-cube
10×pow1 sqrt-prod
9×associate-*r*
5×unswap-sqr
4×prod-exp cbrt-unprod add-log-exp
3×tan-quot pow-prod-down *-commutative
1×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ div-inv
Counts
4 → 88
Calls
4 calls:
8.0ms
(* PI l)
7.0ms
(* PI l)
83.0ms
(* (/ (sqrt 1.0) F) (tan (* PI l)))
17.0ms
(tan (* PI l))

series434.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* PI l)
22.0ms
(* PI l)
259.0ms
(* (/ (sqrt 1.0) F) (tan (* PI l)))
116.0ms
(tan (* PI l))

simplify1.8s

Counts
100 → 100

prune473.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
31.2b
(tan (* PI l))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
9×times-frac
8×pow1
6×associate-*r* associate-*l*
4×add-log-exp
3×associate-/r* associate-/l*
2×tan-quot pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
4 → 72
Calls
4 calls:
17.0ms
(/ (tan (* PI l)) F)
22.0ms
(* PI l)
8.0ms
(* PI l)
8.0ms
(tan (* PI l))

series309.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(/ (tan (* PI l)) F)
26.0ms
(* PI l)
22.0ms
(* PI l)
101.0ms
(tan (* PI l))

simplify1.3s

Counts
84 → 84

prune460.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 11.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt PI) (* (sqrt PI) l))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
31.4b
(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×add-exp-log sqrt-prod add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×rem-sqrt-square sqrt-pow1 pow1/2
1×tan-quot associate-*r* *-commutative
Counts
4 → 55
Calls
4 calls:
40.0ms
(* (sqrt PI) (* (sqrt PI) l))
6.0ms
(sqrt PI)
1.0ms
(sqrt PI)
35.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

series120.0ms

Counts
4 → 8
Calls
4 calls:
37.0ms
(* (sqrt PI) (* (sqrt PI) l))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
83.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify1.0s

Counts
63 → 63

prune312.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 11.8b

regimes814.0ms

Accuracy

0% (0.3b remaining)

Error of 12.5b against oracle of 12.2b and baseline of 12.5b

bsearch0.0ms

simplify1.5s

end0.0ms

sample9.5s

Algorithm
intervals
Results
4.2s801×body2560valid
2.6s1711×body1280valid
671.0ms429×body320valid
671.0ms4522×body80valid
667.0ms888×body640valid
143.0ms5×body10240exit
55.0ms199×body160valid