Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

351×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	3
1	36	3
2	80	3
3	123	3
4	141	3
5	143	3
6	143	3

prune4.0ms

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: 8.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- x z))
7.6b	(* t (* y (- x z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
45×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `associate-r/` `associate-r` `associate-l*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 112

Calls

2 calls:

7.0ms	(* y (- x z))
9.0ms	(* t (* y (- x z)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* y (- x z))
45.0ms	(* t (* y (- x z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	402	1084
1	1572	663
2	5001	645

prune116.0ms

Filtered

118 candidates to 43 candidates (36.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	110	8	118
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	9	119

Merged error: 0.0b

Counts

119 → 9

localize6.0ms

Local error

Found 1 expressions with local error:

5.8b	(* (* t y) (- x z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 46

Calls

1 calls:

8.0ms

(* (* t y) (- x z))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (* t y) (- x z))

simplify38.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	303	430
1	1277	281
2	5002	269

prune59.0ms

Filtered

49 candidates to 19 candidates (38.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	48	10	58

Merged error: 0.0b

Counts

58 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* t y) x) (* (* t y) (- z)))
3.2b	(* (* t y) x)
4.1b	(* (* t y) (- z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `unsub-neg` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 65

Calls

3 calls:

5.0ms	(+ (* (* t y) x) (* (* t y) (- z)))
7.0ms	(* (* t y) x)
10.0ms	(* (* t y) (- z))

series110.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (* (* t y) x) (* (* t y) (- z)))
22.0ms	(* (* t y) x)
27.0ms	(* (* t y) (- z))

simplify64.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	303	327
1	1792	277
2	5002	271

prune121.0ms

Filtered

74 candidates to 54 candidates (73.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	74	10	84

Merged error: 0.0b

Counts

84 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

5.8b	(* (* t y) (- x z))
7.0b	(cbrt (* (* t y) (- x z)))
7.0b	(cbrt (* (* t y) (- x z)))
7.0b	(cbrt (* (* t y) (- x z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
6×	`cbrt-div`
5×	`associate-r`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

8.0ms	(* (* t y) (- x z))
5.0ms	(cbrt (* (* t y) (- x z)))
5.0ms	(cbrt (* (* t y) (- x z)))
5.0ms	(cbrt (* (* t y) (- x z)))

series404.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* t y) (- x z))
116.0ms	(cbrt (* (* t y) (- x z)))
126.0ms	(cbrt (* (* t y) (- x z)))
119.0ms	(cbrt (* (* t y) (- x z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	410	775
1	1609	599
2	5002	578

prune182.0ms

Filtered

97 candidates to 65 candidates (67.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	97	10	107

Merged error: 0.0b

Counts

107 → 10

regimes222.0ms

Accuracy

56.8% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 6.2b

bsearch65.0ms

Steps

Iters	Range		Point
6	5.323899295849905e-31	5.7589501133516216e-30	2.9579169691634028e-30
10	-5.333455327931211e+22	-6396838436636.773	-873265403809526.1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	9
1	33	9
2	40	9
3	40	9

end0.0ms

sample655.0ms

Algorithm

intervals

Results

365.0ms

10763×

body

valid