Details

sample113.0ms

Algorithm

intervals

Results

38.0ms	80×	body	1280	valid
24.0ms	80×	body	640	valid
16.0ms	241×	body	80	valid
13.0ms	46×	body	320	valid
2.0ms	19×	body	160	valid

simplify375.0ms

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

prune7.0ms

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: 20.7b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* J (- (exp l) (exp (- l))))
6.0b	(- (exp l) (exp (- l)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 74

Calls

2 calls:

8.0ms	(* J (- (exp l) (exp (- l))))
5.0ms	(- (exp l) (exp (- l)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* J (- (exp l) (exp (- l))))
40.0ms	(- (exp l) (exp (- l)))

simplify44.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	260	1031
1	922	661
2	5002	608

prune186.0ms

Filtered

80 candidates to 44 candidates (55.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	2	81

Merged error: 0.0b

Counts

81 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
0.0b	(fma 1/60 (pow l 5) (* 2 l))
0.0b	(* J (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)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

1.0ms	(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
1.0ms	(fma 1/60 (pow l 5) (* 2 l))
4.0ms	(* J (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)

series550.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
126.0ms	(fma 1/60 (pow l 5) (* 2 l))
134.0ms	(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
236.0ms	(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

simplify116.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	186	510
1	795	442
2	4250	434
3	5001	434

prune244.0ms

Filtered

64 candidates to 49 candidates (76.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	6	66

Merged error: 0.0b

Counts

66 → 6

localize20.0ms

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)

series756.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(* (cbrt J) (cbrt J))
179.0ms	(cbrt J)
185.0ms	(cbrt J)
184.0ms	(cbrt J)

simplify93.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (87.0ms)

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

prune401.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Merged error: 0.0b

Counts

99 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* J (fma 1/3 (pow l 3) (cbrt (pow (fma 1/60 (pow l 5) (* 2 l)) 3))))
0.0b	(pow (fma 1/60 (pow l 5) (* 2 l)) 3)
0.0b	(fma (* J (fma 1/3 (pow l 3) (cbrt (pow (fma 1/60 (pow l 5) (* 2 l)) 3)))) (cos (/ K 2.0)) U)
36.1b	(cbrt (pow (fma 1/60 (pow l 5) (* 2 l)) 3))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `fma-udef`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

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

series649.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* J (fma 1/3 (pow l 3) (cbrt (pow (fma 1/60 (pow l 5) (* 2 l)) 3))))
135.0ms	(pow (fma 1/60 (pow l 5) (* 2 l)) 3)
249.0ms	(fma (* J (fma 1/3 (pow l 3) (cbrt (pow (fma 1/60 (pow l 5) (* 2 l)) 3)))) (cos (/ K 2.0)) U)
126.0ms	(cbrt (pow (fma 1/60 (pow l 5) (* 2 l)) 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	296	766
1	1157	671
2	5001	649

prune298.0ms

Filtered

92 candidates to 60 candidates (65.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

regimes250.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b 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

sample3.6s

Algorithm

intervals

Results

1.3s	2691×	body	1280	valid
762.0ms	2612×	body	640	valid
541.0ms	8268×	body	80	valid
430.0ms	1397×	body	320	valid
103.0ms	770×	body	160	valid