Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

339×

body

valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ x y) z) (* t 2.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`add-exp-log` `times-frac` `add-cbrt-cube` `associate-/l*`
4×	`distribute-lft-out--`
3×	`add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

10.0ms

(/ (- (+ x y) z) (* t 2.0))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	207
1	763	178
2	3630	178
3	5002	178

prune60.0ms

Filtered

35 candidates to 25 candidates (71.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Merged error: 0b

Counts

36 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) (* t 2.0))
0.0b	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
63×	`*-un-lft-identity`
56×	`prod-diff`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
19×	`div-inv`
11×	`distribute-lft-out`
8×	`fma-neg`
7×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/l*` `add-log-exp`
3×	`distribute-lft-out--`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `associate-/l/`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `flip3-+` `diff-log` `prod-exp` `clear-num` `associate-/r*` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `sub-div` `difference-of-squares`

Counts

2 → 112

Calls

2 calls:

6.0ms	(/ (+ x y) (* t 2.0))
13.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series74.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (+ x y) (* t 2.0))
40.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	476	1714
1	1549	1268
2	5001	1158

prune133.0ms

Filtered

118 candidates to 54 candidates (45.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	119	4	123

Merged error: 0b

Counts

123 → 4

localize13.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (/ 1 t) (/ (+ x y) 2.0) (- (/ z (* t 2.0))))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ 1 t) (/ (+ x y) 2.0) (- (/ z (* t 2.0))))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(fma (/ 1 t) (/ (+ x y) 2.0) (- (/ z (* t 2.0))))

simplify46.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (43.0ms)

Iter	Nodes	Cost
0	70	124
1	165	103
2	435	102
3	1585	102
4	5001	99

prune36.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	13	4	17

Merged error: 0b

Counts

17 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma 0.5 (/ y t) (* (/ 0.5 t) (- x z)))
0.3b	(* (/ 0.5 t) (- x z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff`
13×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1`
2×	`expm1-log1p-u` `frac-times` `sub-neg` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `fma-udef` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 72

Calls

2 calls:

1.0ms	(fma 0.5 (/ y t) (* (/ 0.5 t) (- x z)))
10.0ms	(* (/ 0.5 t) (- x z))

series99.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(fma 0.5 (/ y t) (* (/ 0.5 t) (- x z)))
51.0ms	(* (/ 0.5 t) (- x z))

simplify43.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	418	615
1	1575	447
2	5001	435

prune124.0ms

Filtered

78 candidates to 48 candidates (61.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	78	4	82

Merged error: 0b

Counts

82 → 4

regimes164.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample693.0ms

Algorithm

intervals

Results

371.0ms

10829×

body

valid

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4