Details

Time bar (total: 8.5s)

sample410.0ms

Algorithm
intervals
Results
54.0ms16×body2560valid
35.0ms59×body1280valid
10.0ms38×body640valid
7.0ms146×body80valid
3.0ms16×body320valid
1.0ms8×body160valid
1.0ms1×body5120exit

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune7.0ms

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: 16.7b

Counts
2 → 1

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.3b
(/ 1.0 (* F F))
4.8b
(* (/ 1.0 (* F F)) (tan (* PI l)))
31.2b
(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)))
3.0ms
(tan (* PI l))

series297.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* PI l)
29.0ms
(/ 1.0 (* F F))
157.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
87.0ms
(tan (* PI l))

simplify43.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0323443
11416374
25001374

prune400.0ms

Filtered
89 candidates to 61 candidates (31.5%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New751489
Fresh000
Picked101
Done000
Total761490

Merged error: 11.5b

Counts
90 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.3b
(* (/ 1.0 F) (tan (* PI l)))
31.2b
(tan (* PI l))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
19×associate-*l*
16×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
10×pow1 times-frac
9×associate-*r*
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
3×tan-quot pow-prod-down *-commutative
1×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ div-inv
Counts
4 → 78
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(* PI l)
7.0ms
(* (/ 1.0 F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series265.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* PI l)
23.0ms
(* PI l)
144.0ms
(* (/ 1.0 F) (tan (* PI l)))
73.0ms
(tan (* PI l))

simplify85.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune492.0ms

Filtered
90 candidates to 64 candidates (28.9%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New771390
Fresh31013
Picked101
Done000
Total8123104

Merged error: 11.4b

Counts
104 → 23

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
0.2b
(* PI l)
0.2b
(* PI l)
31.2b
(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:
9.0ms
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
3.0ms
(* PI l)
3.0ms
(* PI l)
2.0ms
(tan (* PI l))

series272.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
25.0ms
(* PI l)
23.0ms
(* PI l)
74.0ms
(tan (* PI l))

simplify58.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0406553
12199441
25002434

prune416.0ms

Filtered
101 candidates to 61 candidates (39.6%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New1001101
Fresh12122
Picked101
Done000
Total10222124

Merged error: 11.4b

Counts
124 → 22

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.2b
(* PI l)
0.2b
(* PI l)
31.2b
(tan (* PI l))

rewrite15.0ms

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)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series238.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(/ (tan (* PI l)) F)
25.0ms
(* PI l)
23.0ms
(* PI l)
73.0ms
(tan (* PI l))

simplify62.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203349
1665322
22201322
35001322

prune411.0ms

Filtered
84 candidates to 60 candidates (28.6%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New76884
Fresh71421
Picked101
Done000
Total8422106

Merged error: 11.4b

Counts
106 → 22

regimes728.0ms

Accuracy

0% (0.4b remaining)

Error of 12.2b against oracle of 11.8b and baseline of 12.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02115
12115

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.3s785×body2560valid
951.0ms1733×body1280valid
239.0ms923×body640valid
215.0ms4595×body80valid
62.0ms378×body320valid
25.0ms226×body160valid
1.0ms3×body5120exit

Profiling

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