Details

Time bar (total: 6.7s)

sample337.0ms

Algorithm
intervals
Results
196.0ms43×body640valid
83.0ms29×body2560valid
30.0ms54×body1280valid
9.0ms134×body80valid
2.0ms12×body320valid
0.0ms2×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.9b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.4b
(/ 1.0 (* F F))
4.8b
(* (/ 1.0 (* F F)) (tan (* PI l)))
32.2b
(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:
4.0ms
(* PI l)
4.0ms
(/ 1.0 (* F F))
9.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series47.0ms

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

simplify48.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0323443
11416374
25001374

prune154.0ms

Filtered
61 candidates to 89 candidates (-45.9%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New761389
Fresh000
Picked101
Done000
Total771390

Merged error: 13.0b

Counts
90 → 13

localize14.0ms

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)))
32.2b
(tan (* PI l))

rewrite27.0ms

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))

series53.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
22.0ms
(* (/ 1 F) (* (/ 1.0 F) (tan (* PI l))))
21.0ms
(* (/ 1.0 F) (tan (* PI l)))
8.0ms
(tan (* PI l))

simplify66.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0526766
12686631
25001623

prune204.0ms

Filtered
79 candidates to 121 candidates (-53.2%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New10813121
Fresh4812
Picked101
Done000
Total11321134

Merged error: 12.9b

Counts
134 → 21

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.3b
(* (/ 1.0 F) (tan (* PI l)))
32.2b
(tan (* PI l))

rewrite20.0ms

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:
5.0ms
(* PI l)
4.0ms
(* PI l)
7.0ms
(* (/ 1.0 F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series34.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* PI l)
2.0ms
(* PI l)
21.0ms
(* (/ 1.0 F) (tan (* PI l)))
8.0ms
(tan (* PI l))

simplify82.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune182.0ms

Filtered
64 candidates to 90 candidates (-40.6%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New801090
Fresh51520
Picked101
Done000
Total8625111

Merged error: 12.9b

Counts
111 → 25

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 F))
0.6b
(cbrt (/ 1 F))
0.6b
(cbrt (/ 1 F))
32.2b
(tan (* PI l))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×cbrt-div pow1/3 div-inv
1×tan-quot
Counts
4 → 74
Calls
4 calls:
2.0ms
(cbrt (/ 1 F))
2.0ms
(cbrt (/ 1 F))
2.0ms
(cbrt (/ 1 F))
2.0ms
(tan (* PI l))

series76.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt (/ 1 F))
21.0ms
(cbrt (/ 1 F))
25.0ms
(cbrt (/ 1 F))
8.0ms
(tan (* PI l))

simplify111.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 4 (105.0ms)

IterNodesCost
0163475
1370443
21028404
33566320
45002317

prune119.0ms

Filtered
51 candidates to 86 candidates (-68.6%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New84286
Fresh12324
Picked101
Done000
Total8625111

Merged error: 12.9b

Counts
111 → 25

regimes681.0ms

Accuracy

0% (0.5b remaining)

Error of 12.8b against oracle of 12.4b and baseline of 12.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02922
12922

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.5s839×body2560valid
981.0ms1721×body1280valid
254.0ms929×body640valid
237.0ms4532×body80valid
65.0ms368×body320valid
24.0ms205×body160valid
2.0ms3×body5120exit

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