Details

Time bar (total: 42.8s)

sample556.0ms

Algorithm
intervals
Results
416.0ms239×body10240exit
50.0ms285×body80valid
3.0ms8×body160valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
12685
11685
10661
9591
8471
7348
6273
5229
4147
391
245
121
010

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.2b
(* PI l)
0.2b
(* PI l)
4.1b
(tan (* PI l))

rewrite53.0ms

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:
24.0ms
(/ (tan (* PI l)) F)
5.0ms
(* PI l)
6.0ms
(* PI l)
14.0ms
(tan (* PI l))

series332.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(/ (tan (* PI l)) F)
24.0ms
(* PI l)
42.0ms
(* PI l)
108.0ms
(tan (* PI l))

simplify1.6s

Counts
96 → 96
Iterations
IterNodes
44204
31450
2558
1221
0114

prune971.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.3b
(* (tan (* PI l)) (/ 1 F))
4.1b
(tan (* PI l))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
19×associate-*r*
17×*-un-lft-identity add-exp-log
16×add-cube-cbrt
13×add-cbrt-cube
11×times-frac
10×pow1
9×associate-*l*
6×prod-exp
5×unswap-sqr
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down tan-quot *-commutative
2×div-exp
1×frac-times cbrt-undiv rec-exp 1-exp associate-*l/ associate-*r/ un-div-inv div-inv
Counts
4 → 94
Calls
4 calls:
11.0ms
(* PI l)
10.0ms
(* PI l)
48.0ms
(* (tan (* PI l)) (/ 1 F))
9.0ms
(tan (* PI l))

series323.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* PI l)
36.0ms
(* PI l)
137.0ms
(* (tan (* PI l)) (/ 1 F))
111.0ms
(tan (* PI l))

simplify2.3s

Counts
106 → 106
Iterations
IterNodes
44875
31883
2807
1319
0141

prune1.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (tan (* PI l)))
4.1b
(tan (* PI l))
4.1b
(tan (* PI l))
4.1b
(tan (* PI l))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube tan-quot add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod
1×cbrt-div pow1/3
Counts
4 → 48
Calls
4 calls:
5.0ms
(cbrt (tan (* PI l)))
8.0ms
(tan (* PI l))
8.0ms
(tan (* PI l))
9.0ms
(tan (* PI l))

series556.0ms

Counts
4 → 12
Calls
4 calls:
325.0ms
(cbrt (tan (* PI l)))
66.0ms
(tan (* PI l))
66.0ms
(tan (* PI l))
99.0ms
(tan (* PI l))

simplify8.3s

Counts
60 → 60
Iterations
IterNodes
411004
31753
2415
1150
068

prune828.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt F)
0.6b
(cbrt F)
0.6b
(cbrt F)
4.1b
(tan (* PI l))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×tan-quot
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt F)
1.0ms
(cbrt F)
1.0ms
(cbrt F)
17.0ms
(tan (* PI l))

series1.3s

Counts
4 → 12
Calls
4 calls:
726.0ms
(cbrt F)
263.0ms
(cbrt F)
255.0ms
(cbrt F)
87.0ms
(tan (* PI l))

simplify797.0ms

Counts
65 → 65
Iterations
IterNodes
42110
3737
2274
1111
057

prune810.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 0.5b

regimes623.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
214
114
010

end0.0ms

sample20.5s

Algorithm
intervals
Results
17.7s7691×body10240exit
2.1s8832×body80valid
189.0ms258×body160valid