Details

Time bar (total: 7.1s)

sample425.0ms

Algorithm
intervals
Results
95.0ms31×body2560valid
27.0ms49×body1280valid
9.0ms139×body80valid
8.0ms31×body640valid
3.0ms17×body320valid
1.0ms9×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 (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.0b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
2.9b
(* (/ 1.0 (* F F)) (tan (* PI l)))
31.3b
(tan (* PI l))

rewrite21.0ms

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:
3.0ms
(* PI l)
4.0ms
(* PI l)
9.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series256.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
19.0ms
(* PI l)
134.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
84.0ms
(tan (* PI l))

simplify41.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0306403
11397345
25002345

prune220.0ms

Filtered
86 candidates to 58 candidates (67.4%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New671986
Fresh000
Picked101
Done000
Total681987

Merged error: 12.7b

Counts
87 → 19

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)))
31.3b
(tan (* PI l))

rewrite18.0ms

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

series225.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
19.0ms
(* PI l)
124.0ms
(* (/ 1.0 F) (tan (* PI l)))
63.0ms
(tan (* PI l))

simplify86.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune217.0ms

Filtered
90 candidates to 64 candidates (71.1%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New83790
Fresh9918
Picked101
Done000
Total9316109

Merged error: 12.7b

Counts
109 → 16

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.3b
(/ (* 1.0 (sin (* PI l))) (* F (cos (* PI l))))
31.0b
(sin (* PI l))
31.2b
(cos (* PI l))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×pow1 add-cube-cbrt *-un-lft-identity
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp
3×associate-*r* associate-*l*
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 53
Calls
4 calls:
4.0ms
(* PI l)
8.0ms
(/ (* 1.0 (sin (* PI l))) (* F (cos (* PI l))))
2.0ms
(sin (* PI l))
2.0ms
(cos (* PI l))

series175.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
118.0ms
(/ (* 1.0 (sin (* PI l))) (* F (cos (* PI l))))
21.0ms
(sin (* PI l))
17.0ms
(cos (* PI l))

simplify44.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0335403
11655314
25001314

prune186.0ms

Filtered
65 candidates to 43 candidates (66.2%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New62365
Fresh31215
Picked101
Done000
Total661581

Merged error: 8.1b

Counts
81 → 15

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt PI)
1.0b
(* (cbrt PI) (cbrt PI))
31.0b
(sin (* PI l))
31.3b
(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×cbrt-prod
13×add-cube-cbrt *-un-lft-identity
11×pow1
7×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt PI)
6.0ms
(* (cbrt PI) (cbrt PI))
2.0ms
(sin (* PI l))
3.0ms
(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

series47.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt PI)
0.0ms
(* (cbrt PI) (cbrt PI))
26.0ms
(sin (* PI l))
21.0ms
(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

simplify129.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
0177348
1667311
23382294
35002286

prune186.0ms

Filtered
73 candidates to 48 candidates (65.8%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New69473
Fresh11314
Picked101
Done000
Total711788

Merged error: 8.1b

Counts
88 → 17

regimes457.0ms

Accuracy

83.9% (0.8b remaining)

Error of 8.6b against oracle of 7.8b and baseline of 12.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06646
16646

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.5s844×body2560valid
953.0ms1638×body1280valid
272.0ms998×body640valid
234.0ms4465×body80valid
72.0ms394×body320valid
28.0ms231×body160valid
1.0ms2×body5120exit

Profiling

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