Details

sample41.0ms

Algorithm

intervals

Results

12.0ms	283×	body	80	valid
12.0ms	277×	body	80	nan

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	1600	14
1	1600	14

prune13.0ms

Filtered

1 candidates to 1 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: 0.3b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
0.2b	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
0.3b	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))
0.5b	(/ 1.0 (* x 9.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
11×	`pow1`
10×	`add-cube-cbrt`
9×	`associate-l` `add-log-exp`
6×	`associate-r/` `associate-r*`
5×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `sqrt-prod` `distribute-lft-out`
3×	`flip3-+` `times-frac` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `associate-+r+` `div-exp` `sum-log` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 90

Calls

4 calls:

8.0ms	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
11.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
12.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))
4.0ms	(/ 1.0 (* x 9.0))

series27.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (- (/ 1.0 (* x 9.0)) 1.0))
10.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
12.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))
2.0ms	(/ 1.0 (* x 9.0))

simplify28.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5560	1248

prune158.0ms

Filtered

72 candidates to 102 candidates (-41.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	92	10	102
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	93	11	104

Merged error: 0.0b

Counts

104 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
12×	`associate-r`
11×	`pow1`
10×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
11.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms	(* 3.0 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series22.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
12.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms	(* 3.0 (sqrt x))
2.0ms	(/ 1.0 (* x 9.0))

simplify25.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5351	976

prune132.0ms

Filtered

63 candidates to 96 candidates (-52.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	90	6	96
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	97	10	107

Merged error: 0.0b

Counts

107 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (sqrt x))
0.4b	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))
0.5b	(/ 1.0 (* x 9.0))
0.5b	(/ 1.0 (* x 9.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
38×	`sqrt-prod`
23×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow1`
18×	`add-exp-log` `times-frac` `add-cbrt-cube`
16×	`associate-r`
13×	`associate-l`
12×	`swap-sqr`
8×	`sqrt-pow1` `pow1/2`
6×	`div-inv` `associate-/l*` `unswap-sqr`
5×	`pow-prod-up`
4×	`cbrt-undiv` `sqrt-div` `div-exp` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-sqr`
2×	`frac-2neg` `clear-num` `associate-/r` `-commutative`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `rem-square-sqrt`

Counts

4 → 128

Calls

4 calls:

4.0ms	(* 3.0 (sqrt x))
11.0ms	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))
4.0ms	(/ 1.0 (* x 9.0))
4.0ms	(/ 1.0 (* x 9.0))

series16.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 3.0 (sqrt x))
8.0ms	(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))
2.0ms	(/ 1.0 (* x 9.0))
2.0ms	(/ 1.0 (* x 9.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5670	985

prune200.0ms

Filtered

87 candidates to 140 candidates (-60.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	140	10	150

Merged error: 0.0b

Counts

150 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ y (- (/ 0.1111111111111111 x) 1.0))
0.2b	(* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0)))
0.3b	(* 3.0 (* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-l`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`associate-r/` `associate-r*`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `distribute-lft-out`
3×	`flip3-+` `flip-+`
2×	`associate-+r+` `sum-log` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `sub-neg` `diff-log`

Counts

3 → 69

Calls

3 calls:

8.0ms	(+ y (- (/ 0.1111111111111111 x) 1.0))
11.0ms	(* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0)))
12.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0))))

series27.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ y (- (/ 0.1111111111111111 x) 1.0))
10.0ms	(* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0)))
12.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 0.1111111111111111 x) 1.0))))

simplify38.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5020	954

prune80.0ms

Filtered

50 candidates to 78 candidates (-56.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	78	10	88

Merged error: 0.0b

Counts

88 → 10

regimes131.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	22
1	18	22

end0.0ms

sample1.2s

Algorithm

intervals

Results

378.0ms	8565×	body	80	valid
361.0ms	8437×	body	80	nan

Details

sample41.0ms

simplify38.0ms

prune13.0ms

localize9.0ms

rewrite37.0ms

series27.0ms

simplify28.0ms

prune158.0ms

localize9.0ms

rewrite25.0ms

series22.0ms

simplify25.0ms

prune132.0ms

localize12.0ms

rewrite28.0ms

series16.0ms

simplify38.0ms

prune200.0ms

localize10.0ms

rewrite32.0ms

series27.0ms

simplify38.0ms

prune80.0ms

regimes131.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling