Details

Time bar (total: 7.9s)

sample437.0ms

Algorithm
intervals
Results
82.0ms27×body2560valid
31.0ms49×body1280valid
10.0ms148×body80valid
9.0ms32×body640valid
2.0ms11×body320valid
1.0ms7×body160valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.6b

Counts
2 → 1

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.4b
(/ 1.0 (* F F))
5.6b
(* (/ 1.0 (* F F)) (tan (* PI l)))
29.0b
(tan (* PI l))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*l*
8×pow1
7×times-frac
6×associate-*r* prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp
3×tan-quot associate-/l* unswap-sqr
2×pow-prod-down *-commutative div-inv
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r*
Counts
4 → 77
Calls
4 calls:
3.0ms
(* PI l)
4.0ms
(/ 1.0 (* F F))
9.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
4.0ms
(tan (* PI l))

series45.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
3.0ms
(/ 1.0 (* F F))
23.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
17.0ms
(tan (* PI l))

simplify40.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0323443
11416374
25001374

prune422.0ms

Filtered
89 candidates to 61 candidates (31.5%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New731689
Fresh000
Picked101
Done000
Total741690

Merged error: 11.7b

Counts
90 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* (/ 1 F) (* (/ 1.0 F) (tan (* PI l))))
0.3b
(* (/ 1.0 F) (tan (* PI l)))
29.0b
(tan (* PI l))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
32×add-cbrt-cube
29×associate-*l*
28×add-sqr-sqrt
23×prod-exp
21×add-cube-cbrt *-un-lft-identity
19×times-frac
13×pow1 cbrt-unprod
11×div-exp
7×tan-quot associate-*r*
6×cbrt-undiv frac-times associate-*r/
5×pow-prod-down
4×associate-*l/ add-log-exp
3×rec-exp 1-exp *-commutative unswap-sqr
2×div-inv
Counts
4 → 109
Calls
4 calls:
3.0ms
(* PI l)
11.0ms
(* (/ 1 F) (* (/ 1.0 F) (tan (* PI l))))
7.0ms
(* (/ 1.0 F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series54.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
21.0ms
(* (/ 1 F) (* (/ 1.0 F) (tan (* PI l))))
20.0ms
(* (/ 1.0 F) (tan (* PI l)))
11.0ms
(tan (* PI l))

simplify62.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0526766
12686631
25001623

prune674.0ms

Filtered
121 candidates to 80 candidates (33.9%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New11110121
Fresh7815
Picked101
Done000
Total11918137

Merged error: 11.6b

Counts
137 → 18

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.2b
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
29.0b
(tan (* PI l))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
29×add-cbrt-cube
22×prod-exp
19×add-sqr-sqrt associate-*l*
15×add-cube-cbrt *-un-lft-identity
13×pow1
12×cbrt-unprod
10×div-exp
9×times-frac
7×associate-*r*
5×cbrt-undiv pow-prod-down
4×add-log-exp
3×rec-exp 1-exp associate-*r/ *-commutative
2×unswap-sqr
1×tan-quot frac-times associate-*l/ div-inv
Counts
4 → 89
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(* PI l)
9.0ms
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
2.0ms
(tan (* PI l))

series37.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
24.0ms
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
8.0ms
(tan (* PI l))

simplify55.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0406553
12199441
25002434

prune419.0ms

Filtered
101 candidates to 61 candidates (39.6%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New965101
Fresh11617
Picked101
Done000
Total9821119

Merged error: 11.6b

Counts
119 → 21

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.2b
(* PI l)
0.2b
(* PI l)
29.0b
(tan (* PI l))

rewrite14.0ms

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:
4.0ms
(/ (tan (* PI l)) F)
3.0ms
(* PI l)
3.0ms
(* PI l)
2.0ms
(tan (* PI l))

series28.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ (tan (* PI l)) F)
2.0ms
(* PI l)
2.0ms
(* PI l)
8.0ms
(tan (* PI l))

simplify60.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0203349
1665322
22201322
35001322

prune427.0ms

Filtered
84 candidates to 60 candidates (28.6%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New76884
Fresh81220
Picked101
Done000
Total8520105

Merged error: 11.6b

Counts
105 → 20

regimes652.0ms

Accuracy

0% (0.3b remaining)

Error of 12.4b against oracle of 12.1b and baseline of 12.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127
1127

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.4s820×body2560valid
977.0ms1696×body1280valid
274.0ms998×body640valid
233.0ms4517×body80valid
68.0ms381×body320valid
26.0ms213×body160valid
2.0ms5×body5120exit

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