Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

318×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	42	6
3	49	6
4	55	6
5	61	6
6	63	6
7	63	6

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: 1.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
3.3b	(* (/ x y) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `associate-l/` `associate-/r` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 117

Calls

3 calls:

5.0ms	(/ (+ x 4.0) y)
10.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms	(* (/ x y) z)

series91.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (+ x 4.0) y)
41.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
24.0ms	(* (/ x y) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	399	743
1	1422	683
2	5001	668

prune270.0ms

Filtered

126 candidates to 89 candidates (70.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	120	6	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	6	127

Merged error: 0b

Counts

127 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
3.3b	(* (/ x y) z)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r`
2×	`expm1-log1p-u` `prod-exp` `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`

Counts

2 → 44

Calls

2 calls:

1.0ms	(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
6.0ms	(* (/ x y) z)

series70.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(fma (+ x 4.0) (/ 1 y) (- (* (/ x y) z)))
20.0ms	(* (/ x y) z)

simplify55.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	191	242
1	672	210
2	2619	206
3	5001	199

prune115.0ms

Filtered

50 candidates to 38 candidates (76.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	50	6	56

Merged error: 0b

Counts

56 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

3.1b	(/ (- (+ x 4.0) (* x z)) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

8.0ms

(/ (- (+ x 4.0) (* x z)) y)

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(/ (- (+ x 4.0) (* x z)) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	171	262
1	603	241
2	2638	240
3	5001	238

prune78.0ms

Filtered

35 candidates to 28 candidates (80.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	36	5	41

Merged error: 0b

Counts

41 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ y (- (+ x 4.0) (* x z))))
3.1b	(/ y (- (+ x 4.0) (* x z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 117

Calls

2 calls:

10.0ms	(/ 1 (/ y (- (+ x 4.0) (* x z))))
7.0ms	(/ y (- (+ x 4.0) (* x z)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ 1 (/ y (- (+ x 4.0) (* x z))))
59.0ms	(/ y (- (+ x 4.0) (* x z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	481	1226
1	2390	1103
2	5001	1012

prune181.0ms

Filtered

123 candidates to 70 candidates (56.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	123	5	128

Merged error: 0b

Counts

128 → 5

regimes84.0ms

Accuracy

69.7% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.7b

bsearch72.0ms

Steps

Iters	Range		Point
7	3.321797440041489e-146	3.72730964240123e-144	3.115096122604751e-144
8	-5.466510813280087e-39	-3.4040993375076866e-43	-2.6054779217669993e-42

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	12
1	30	12

end0.0ms

sample554.0ms

Algorithm

intervals

Results

353.0ms

10089×

body

valid