Details

sample411.0ms

Algorithm

intervals

Results

80.0ms	25×	body	2560	valid
50.0ms	62×	body	1280	valid
11.0ms	144×	body	80	valid
8.0ms	23×	body	640	valid
4.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	39	7
2	76	7
3	114	7
4	137	7
5	144	7
6	144	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.5b	(/ 1.0 (* F F))
4.8b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.7b	(tan (* PI l))

rewrite81.0ms

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:

7.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
53.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
9.0ms	(tan (* PI l))

series238.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* PI l)
22.0ms	(/ 1.0 (* F F))
125.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
72.0ms	(tan (* PI l))

simplify41.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	323	443
1	1416	374
2	5001	374

prune310.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 12.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.4b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
31.7b	(tan (* PI l))

rewrite60.0ms

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×	`prod-exp` `cbrt-unprod` `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 → 88

Calls

4 calls:

6.0ms	(* PI l)
7.0ms	(* PI l)
37.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
8.0ms	(tan (* PI l))

series255.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* PI l)
18.0ms	(* PI l)
158.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
61.0ms	(tan (* PI l))

simplify95.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	294	496
1	1023	455
2	3911	454
3	5001	451

prune479.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 11.9b

localize13.0ms

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)
31.7b	(tan (* PI l))

rewrite46.0ms

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×	`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 → 66

Calls

4 calls:

20.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
10.0ms	(* PI l)
7.0ms	(* PI l)
8.0ms	(tan (* PI l))

series260.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
18.0ms	(* PI l)
19.0ms	(* PI l)
62.0ms	(tan (* PI l))

simplify122.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	254	340
1	1034	299
2	4729	299
3	5002	299

prune356.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 11.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ (cbrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
31.6b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite105.0ms

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×	`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 → 78

Calls

4 calls:

73.0ms	(* (/ (cbrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
27.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series217.0ms

Counts

4 → 8

Calls

4 calls:

153.0ms	(* (/ (cbrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
64.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify91.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	275	648
1	864	588
2	3374	585
3	5002	582

prune375.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 11.9b

regimes632.0ms

Accuracy

0% (0.3b remaining)

Error of 12.3b against oracle of 12.0b and baseline of 12.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	18
1	23	18

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.5s	785×	body	2560	valid
1.3s	1701×	body	1280	valid
369.0ms	969×	body	640	valid
345.0ms	4514×	body	80	valid
106.0ms	405×	body	320	valid
47.0ms	2×	body	10240	exit
40.0ms	209×	body	160	valid