Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

327×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	38	3
3	47	3
4	47	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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

5.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify87.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	122	130
1	534	113
2	2890	113
3	5002	113

prune49.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	19	8	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	8	28

Merged error: 0.0b

Counts

28 → 8

localize6.0ms

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`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `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 → 36

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* x (- (* x y))))
5.0ms	(* x (- (* x y)))

series59.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* x 1.0) (* x (- (* x y))))
21.0ms	(* x (- (* x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	181	210
1	1035	183
2	5001	179

prune72.0ms

Filtered

42 candidates to 31 candidates (73.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0b

Counts

50 → 6

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)

rewrite11.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series707.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt x) (cbrt x))
170.0ms	(cbrt x)
173.0ms	(cbrt x)
171.0ms	(cbrt x)

simplify89.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune158.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0b

Counts

91 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 1.0) (* (* x y) (* x y)))
0.3b	(* (* x y) (* x y))
1.2b	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
6.3b	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-r`
4×	`associate-r/` `associate-l*` `pow-sqr` `pow-prod-up`
3×	`sub-neg` `flip3--` `times-frac` `associate-/r*` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `associate-/l/` `difference-of-squares`
1×	`pow2` `frac-2neg` `flip3-+` `diff-log` `swap-sqr` `clear-num` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

3.0ms	(- (* 1.0 1.0) (* (* x y) (* x y)))
6.0ms	(* (* x y) (* x y))
6.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
8.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* 1.0 1.0) (* (* x y) (* x y)))
35.0ms	(* (* x y) (* x y))
71.0ms	(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
88.0ms	(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	390	764
1	2143	631
2	5003	631

prune137.0ms

Filtered

109 candidates to 65 candidates (59.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	109	6	115

Merged error: 0b

Counts

115 → 6

regimes42.0ms

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

sample348.0ms

Algorithm

intervals

Results

194.0ms

10557×

body

valid