Details

sample404.0ms

Algorithm

intervals

Results

81.0ms	25×	body	2560	valid
35.0ms	60×	body	1280	valid
8.0ms	29×	body	640	valid
7.0ms	147×	body	80	valid
3.0ms	16×	body	320	valid
1.0ms	9×	body	160	valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	41	7
2	82	7
3	122	7
4	147	7
5	157	7
6	159	7
7	159	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.6b	(/ 1.0 (* F F))
4.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
32.0b	(tan (* PI l))

rewrite25.0ms

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` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `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 → 85

Calls

4 calls:

3.0ms	(* PI l)
5.0ms	(/ 1.0 (* F F))
10.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms	(tan (* PI l))

series265.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
136.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
83.0ms	(tan (* PI l))

simplify43.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	334	468
1	1442	399
2	5001	398

prune270.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 12.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
32.0b	(tan (* PI l))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`associate-l`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
13×	`add-exp-log`
12×	`add-cbrt-cube`
10×	`pow1` `cbrt-prod`
9×	`associate-r`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `div-inv`

Counts

4 → 96

Calls

4 calls:

4.0ms	(* PI l)
4.0ms	(* PI l)
9.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
2.0ms	(tan (* PI l))

series281.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* PI l)
20.0ms	(* PI l)
170.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
66.0ms	(tan (* PI l))

simplify97.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	303	519
1	1044	478
2	4000	476
3	5001	475

prune391.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 12.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (cbrt 1.0) (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
32.0b	(tan (* PI l))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log`
12×	`add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`tan-quot` `cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `clear-num` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 74

Calls

4 calls:

6.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
3.0ms	(* PI l)
4.0ms	(* PI l)
2.0ms	(tan (* PI l))

series288.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
25.0ms	(* PI l)
20.0ms	(* PI l)
66.0ms	(tan (* PI l))

simplify124.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	264	362
1	1059	321
2	4830	320
3	5001	319

prune304.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 12.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (cbrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
31.9b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`associate-l`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
10×	`cbrt-prod`
9×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot` `associate-r` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `prod-exp` `cbrt-unprod`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `pow-prod-down` `associate-l/` `*-commutative` `div-inv`

Counts

4 → 86

Calls

4 calls:

10.0ms	(* (/ (cbrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
1.0ms	(sqrt PI)
2.0ms	(sqrt PI)
3.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series241.0ms

Counts

4 → 8

Calls

4 calls:

171.0ms	(* (/ (cbrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
69.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify86.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	284	683
1	885	623
2	3443	620
3	5001	617

prune346.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 12.4b

regimes569.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	18
1	23	18

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.4s	817×	body	2560	valid
986.0ms	1713×	body	1280	valid
231.0ms	879×	body	640	valid
220.0ms	4585×	body	80	valid
70.0ms	394×	body	320	valid
25.0ms	220×	body	160	valid