Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

333×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

72×	`prod-diff`
64×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`add-cube-cbrt`
38×	`distribute-rgt-in` `distribute-lft-in`
25×	`associate-r`
22×	`associate-l`
8×	`unswap-sqr`
7×	`*-commutative`
3×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 102

Calls

1 calls:

12.0ms

(* x (- 1.0 (* x y)))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* x (- 1.0 (* x y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	426	1391
1	1521	901
2	5001	874

prune61.0ms

Filtered

105 candidates to 26 candidates (24.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	98	7	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y x))))
50.6b	(fma (- y) x (* y x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

3.0ms	(* x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y x))))
1.0ms	(fma (- y) x (* y x))

series122.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(* x (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* y x))))
27.0ms	(fma (- y) x (* y x))

simplify70.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	114	304
1	460	255
2	2446	234
3	5003	209

prune94.0ms

Filtered

38 candidates to 30 candidates (78.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	38	7	45

Merged error: 0.0b

Counts

45 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 85

Calls

2 calls:

31.0ms	(+ (* x 1.0) (* x (- (* x y))))
10.0ms	(* x (- (* x y)))

series64.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x 1.0) (* x (- (* x y))))
22.0ms	(* x (- (* x y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	289	335
1	1464	301
2	5001	298

prune127.0ms

Filtered

91 candidates to 66 candidates (72.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
19.2b	(cbrt (* x (- (* x y))))
19.2b	(cbrt (* x (- (* x y))))
19.2b	(cbrt (* x (- (* x y))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

294×	`associate-r`
291×	`cbrt-prod`
137×	`add-sqr-sqrt`
111×	`associate-l`
92×	`distribute-rgt-neg-in`
91×	`*-un-lft-identity`
88×	`distribute-lft-neg-in`
71×	`add-cube-cbrt`
50×	`swap-sqr`
36×	`unswap-sqr`
22×	`*-commutative`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
7×	`neg-mul-1`
6×	`add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 303

Calls

4 calls:

51.0ms	(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
10.0ms	(cbrt (* x (- (* x y))))
11.0ms	(cbrt (* x (- (* x y))))
11.0ms	(cbrt (* x (- (* x y))))

series446.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
100.0ms	(cbrt (* x (- (* x y))))
96.0ms	(cbrt (* x (- (* x y))))
117.0ms	(cbrt (* x (- (* x y))))

simplify92.0ms

Algorithm

egg-herbie

Counts

315 → 315

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	567	2912
1	2149	2803
2	5001	2705

prune676.0ms

Filtered

315 candidates to 229 candidates (72.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	313	2	315
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	314	8	322

Merged error: 0b

Counts

322 → 8

regimes59.0ms

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	20	13
1	22	13
2	22	13

end0.0ms

sample374.0ms

Algorithm

intervals

Results

205.0ms

10636×

body

valid