Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

346×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	74	3
3	112	3
4	123	3
5	127	3
6	127	3

prune1.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

8.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	292	436
1	1402	284
2	5001	272

prune50.0ms

Filtered

49 candidates to 19 candidates (38.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0.0b

Counts

50 → 6

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- 1.0 y))
6.0b	(* x (* y (- 1.0 y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
45×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `associate-r/` `associate-r` `associate-l*`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 112

Calls

2 calls:

7.0ms	(* y (- 1.0 y))
9.0ms	(* x (* y (- 1.0 y)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* y (- 1.0 y))
47.0ms	(* x (* y (- 1.0 y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	396	1094
1	1575	666
2	5002	648

prune117.0ms

Filtered

118 candidates to 41 candidates (34.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	118	6	124

Merged error: 0.0b

Counts

124 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b	(* (* x y) (- (* 1.0 1.0) (* y y)))
8.0b	(/ (* (* x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`pow1`
6×	`prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `pow-prod-down`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `prod-diff` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `distribute-lft-out` `add-log-exp`
1×	`frac-2neg` `flip3-+` `associate-l` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `difference-of-squares`

Counts

2 → 60

Calls

2 calls:

7.0ms	(* (* x y) (- (* 1.0 1.0) (* y y)))
11.0ms	(/ (* (* x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

series174.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (* x y) (- (* 1.0 1.0) (* y y)))
104.0ms	(/ (* (* x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

simplify64.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	388	548
1	2249	444
2	5002	443

prune140.0ms

Filtered

66 candidates to 43 candidates (65.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	66	6	72

Merged error: 0b

Counts

72 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* x y) (* 1.0 1.0)) (* (- (pow y 3)) x))
7.6b	(* (- (pow y 3)) x)
8.0b	(/ (+ (* (* x y) (* 1.0 1.0)) (* (- (pow y 3)) x)) (+ 1.0 y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`-un-lft-identity` `associate-l*`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `distribute-lft-neg-out` `add-log-exp`
4×	`associate-/r*` `distribute-lft-out`
3×	`expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `log1p-expm1-u` `associate-/l*`
2×	`cube-mult` `unpow3` `div-sub` `unsub-neg` `associate-/r/` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `neg-mul-1` `fma-def` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 101

Calls

3 calls:

7.0ms	(+ (* (* x y) (* 1.0 1.0)) (* (- (pow y 3)) x))
7.0ms	(* (- (pow y 3)) x)
12.0ms	(/ (+ (* (* x y) (* 1.0 1.0)) (* (- (pow y 3)) x)) (+ 1.0 y))

series270.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(+ (* (* x y) (* 1.0 1.0)) (* (- (pow y 3)) x))
25.0ms	(* (- (pow y 3)) x)
133.0ms	(/ (+ (* (* x y) (* 1.0 1.0)) (* (- (pow y 3)) x)) (+ 1.0 y))

simplify74.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	389	900
1	1936	834
2	5001	810

prune265.0ms

Filtered

110 candidates to 84 candidates (76.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	110	6	116

Merged error: 0b

Counts

116 → 6

regimes58.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample359.0ms

Algorithm

intervals

Results

192.0ms

10697×

body

valid