Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

366×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	44	3
3	62	3
4	63	3
5	63	3

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`prod-diff`
8×	`add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `fma-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

3.0ms	(- 1.0 (* x y))
9.0ms	(* x (- 1.0 (* x y)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- 1.0 (* x y))
40.0ms	(* x (- 1.0 (* x y)))

simplify108.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	171	294
1	703	256
2	3872	252
3	5002	250

prune94.0ms

Filtered

58 candidates to 37 candidates (63.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	50	8	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	8	59

Merged error: 0.0b

Counts

59 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* x y))))
0.2b	(* x (- (* x y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* x (- (* x y))))
5.0ms	(* x (- (* x y)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x 1.0) (* x (- (* x y))))
20.0ms	(* x (- (* x y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	191	230
1	1093	202
2	5002	198

prune83.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	47	8	55

Merged error: 0.0b

Counts

55 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite13.0ms

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:

8.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series705.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt x) (cbrt x))
174.0ms	(cbrt x)
169.0ms	(cbrt x)
168.0ms	(cbrt x)

simplify92.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

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

prune186.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	94	7	101

Merged error: 0.0b

Counts

101 → 7

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (* 1 (pow (cbrt 1.0) 3))) (* (pow x 2) y))
9.3b	(* (pow x 2) y)
50.9b	(fma (- y) x (* y x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`add-exp-log` `associate-l`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube` `add-log-exp`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `expm1-log1p-u` `associate-r` `prod-exp` `log1p-expm1-u`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef`

Counts

3 → 55

Calls

3 calls:

7.0ms	(- (* x (* 1 (pow (cbrt 1.0) 3))) (* (pow x 2) y))
5.0ms	(* (pow x 2) y)
1.0ms	(fma (- y) x (* y x))

series87.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* x (* 1 (pow (cbrt 1.0) 3))) (* (pow x 2) y))
17.0ms	(* (pow x 2) y)
27.0ms	(fma (- y) x (* y x))

simplify39.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	214	326
1	853	277
2	5002	271

prune167.0ms

Filtered

64 candidates to 47 candidates (73.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

regimes78.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	5
1	23	5
2	24	5
3	24	5

end0.0ms

sample365.0ms

Algorithm

intervals

Results

198.0ms

10577×

body

valid