Details

sample60.0ms

Algorithm

intervals

Results

42.0ms

676×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	53	14
1	173	13
2	532	12
3	1681	12
4	4278	12
5	5001	12

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.1b	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.9b	(* (* b b) (+ 3.0 a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

1.0ms	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
1.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (+ 3.0 a))

series283.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
48.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
102.0ms	(pow (+ (* a a) (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	335	551
1	1554	479
2	5001	471

prune222.0ms

Filtered

77 candidates to 61 candidates (79.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	4	78

Merged error: 0.0b

Counts

78 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.9b	(* (* b b) (+ 3.0 a))
0.9b	(* (* b b) (+ 3.0 a))
0.9b	(* (* b b) (+ 3.0 a))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log`
19×	`add-cbrt-cube`
15×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `associate-r`
9×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `unpow-prod-down` `pow-unpow` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 97

Calls

4 calls:

5.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))
8.0ms	(* (* b b) (+ 3.0 a))
8.0ms	(* (* b b) (+ 3.0 a))

series207.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(pow (+ (* a a) (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))
32.0ms	(* (* b b) (+ 3.0 a))
36.0ms	(* (* b b) (+ 3.0 a))

simplify43.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	259	524
1	1255	452
2	5002	447

prune373.0ms

Filtered

109 candidates to 73 candidates (67.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	109	4	113

Merged error: 0.0b

Counts

113 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow a 2))
0.1b	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
0.9b	(* (* b b) (+ 3.0 a))
2.2b	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`add-exp-log`
12×	`associate-r`
11×	`add-cbrt-cube`
10×	`*-un-lft-identity`
9×	`pow1`
8×	`add-cube-cbrt`
6×	`prod-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`associate-r/` `-commutative` `fma-udef` `unpow2` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+` `distribute-lft-out`

Counts

4 → 75

Calls

4 calls:

5.0ms	(* 2.0 (pow a 2))
1.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
8.0ms	(* (* b b) (+ 3.0 a))
1.0ms	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

series177.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 2.0 (pow a 2))
46.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
32.0ms	(* (* b b) (+ 3.0 a))
75.0ms	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

simplify48.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	333	437
1	1629	374
2	5002	373

prune267.0ms

Filtered

87 candidates to 60 candidates (69.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Merged error: 0.0b

Counts

91 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (+ 3.0 a))
0.9b	(* (* b b) (+ 3.0 a))
0.9b	(* (* b b) (+ 3.0 a))
22.5b	(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
19×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`unpow-prod-down`
12×	`add-cube-cbrt` `associate-r`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`cube-prod`
6×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr` `sqr-pow`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube`

Counts

4 → 109

Calls

4 calls:

8.0ms	(* (* b b) (+ 3.0 a))
11.0ms	(* (* b b) (+ 3.0 a))
8.0ms	(* (* b b) (+ 3.0 a))
6.0ms	(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

series249.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* b b) (+ 3.0 a))
32.0ms	(* (* b b) (+ 3.0 a))
38.0ms	(* (* b b) (+ 3.0 a))
146.0ms	(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	329	677
1	1558	602
2	5001	602

prune459.0ms

Filtered

121 candidates to 74 candidates (61.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	120	5	125

Merged error: 0.0b

Counts

125 → 5

regimes92.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

20540×

body

valid