Details

sample104.0ms

Algorithm

intervals

Results

34.0ms	79×	body	1280	valid
20.0ms	76×	body	640	valid
20.0ms	289×	body	80	valid
7.0ms	38×	body	320	valid
3.0ms	27×	body	160	valid

simplify379.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	8
1	44	8
2	91	8
3	195	8
4	332	8
5	652	8
6	1279	8
7	1694	8
8	4980	8
9	5001	8

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 14.4b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
0.0b	(* J (- (exp l) (exp (- l))))
3.7b	(- (exp l) (exp (- l)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`prod-diff`
24×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `associate-l` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

1.0ms	(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
8.0ms	(* J (- (exp l) (exp (- l))))
5.0ms	(- (exp l) (exp (- l)))

series257.0ms

Counts

3 → 9

Calls

3 calls:

165.0ms	(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
52.0ms	(* J (- (exp l) (exp (- l))))
40.0ms	(- (exp l) (exp (- l)))

simplify44.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	318	1176
1	1096	780
2	5001	725

prune246.0ms

Filtered

93 candidates to 56 candidates (60.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	1	94

Merged error: 0.0b

Counts

94 → 1

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
0.0b	(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
0.0b	(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`fma-udef`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

3.0ms	(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
1.0ms	(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
1.0ms	(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

series429.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
53.0ms	(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
241.0ms	(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

simplify111.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	176	451
1	760	390
2	4093	382
3	5001	382

prune213.0ms

Filtered

51 candidates to 39 candidates (76.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Merged error: 0.0b

Counts

52 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt J) (cbrt J))
0.6b	(cbrt J)
0.6b	(cbrt J)
0.6b	(cbrt J)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

5.0ms	(* (cbrt J) (cbrt J))
1.0ms	(cbrt J)
1.0ms	(cbrt J)
1.0ms	(cbrt J)

series729.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt J) (cbrt J))
174.0ms	(cbrt J)
175.0ms	(cbrt J)
179.0ms	(cbrt J)

simplify93.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune449.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt J)
0.6b	(cbrt J)
0.6b	(cbrt (cbrt J))
0.6b	(cbrt (* (cbrt J) (cbrt J)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt J)
1.0ms	(cbrt J)
1.0ms	(cbrt (cbrt J))
4.0ms	(cbrt (* (cbrt J) (cbrt J)))

series1.0s

Counts

4 → 12

Calls

4 calls:

316.0ms	(cbrt J)
179.0ms	(cbrt J)
237.0ms	(cbrt (cbrt J))
271.0ms	(cbrt (* (cbrt J) (cbrt J)))

simplify109.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (104.0ms)

Iter	Nodes	Cost
0	112	239
1	242	219
2	759	209
3	3150	209
4	5002	204

prune379.0ms

Filtered

65 candidates to 58 candidates (89.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	66	5	71

Merged error: 0.0b

Counts

71 → 5

regimes229.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	2614×	body	1280	valid
675.0ms	2534×	body	640	valid
481.0ms	8479×	body	80	valid
264.0ms	1453×	body	320	valid
85.0ms	743×	body	160	valid