Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

307×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (15.0ms)

Iter	Nodes	Cost
0	16	3
1	24	3
2	38	3
3	45	3
4	53	3
5	57	3
6	67	3
7	309	2
8	2125	2
9	5001	2

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

1.7b	(fma (/ y z) x x)

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 (/ y z) x x)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(fma (/ y z) x x)

simplify138.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	44
1	62	39
2	205	39
3	849	39
4	4785	39
5	5001	39

prune29.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y z) x) x)
3.9b	(* (/ y z) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
11×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-out` `fma-def` `distribute-lft1-in` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 50

Calls

2 calls:

5.0ms	(+ (* (/ y z) x) x)
6.0ms	(* (/ y z) x)

series44.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (* (/ y z) x) x)
18.0ms	(* (/ y z) x)

simplify90.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	224	212
1	833	195
2	3624	193
3	5001	191

prune89.0ms

Filtered

56 candidates to 41 candidates (73.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Merged error: 0.0b

Counts

60 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y (/ x z)) x)
5.9b	(* y (/ x z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 48

Calls

2 calls:

5.0ms	(+ (* y (/ x z)) x)
7.0ms	(* y (/ x z))

series42.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* y (/ x z)) x)
21.0ms	(* y (/ x z))

simplify104.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	236	214
1	987	197
2	4326	196
3	5001	195

prune77.0ms

Filtered

54 candidates to 39 candidates (72.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	53	4	57

Merged error: 0b

Counts

57 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* y x) (/ 1 z)) x)
5.7b	(* (* y x) (/ 1 z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
14×	`add-cbrt-cube`
13×	`associate-r`
12×	`prod-exp`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`pow1`
6×	`cbrt-unprod`
4×	`div-exp` `add-log-exp`
3×	`pow-prod-down`
2×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `associate-r/` `associate-l` `sum-log` `un-div-inv` `-commutative` `flip-+` `div-inv`

Counts

2 → 54

Calls

2 calls:

7.0ms	(+ (* (* y x) (/ 1 z)) x)
8.0ms	(* (* y x) (/ 1 z))

series43.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(+ (* (* y x) (/ 1 z)) x)
21.0ms	(* (* y x) (/ 1 z))

simplify43.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	313	286
1	1512	241
2	5001	215

prune69.0ms

Filtered

60 candidates to 36 candidates (60.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	60	4	64

Merged error: 0b

Counts

64 → 4

regimes100.0ms

Accuracy

3% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.1b

bsearch54.0ms

Steps

Iters	Range		Point
8	-3.203706510711656e-197	-1.243875693689644e-199	-4.1524589431552566e-198
8	-1.883480870657156e-100	-5.832201551685393e-103	-3.503772176849162e-102

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	6
1	22	6

end0.0ms

sample390.0ms

Algorithm

intervals

Results

206.0ms

9556×

body

valid