Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

370×

body

valid

simplify219.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	4
1	35	4
2	89	4
3	157	4
4	170	4
5	186	4
6	244	4
7	442	4
8	1389	4
9	4761	4
10	5001	4

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) (- 3.0 (* x 2.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

7.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	216	252
1	984	214
2	5002	203

prune61.0ms

Filtered

36 candidates to 20 candidates (55.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	6	37

Merged error: 0b

Counts

37 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
0.2b	(* (* x x) 3.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`add-sqr-sqrt`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sum-log` `log1p-expm1-u`
1×	`+-commutative` `neg-sub0` `associate-+r-` `fma-def` `flip3-+` `associate-l` `unsub-neg` `neg-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

6.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
9.0ms	(* (* x x) 3.0)

series129.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(+ (* (* x x) 3.0) (- (* 2.0 (pow x 3))))
26.0ms	(* (* x x) 3.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	204	229
1	1021	204
2	5001	195

prune105.0ms

Filtered

45 candidates to 33 candidates (73.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	46	5	51

Merged error: 0b

Counts

51 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.2b	(* x (* x (- 3.0 (* x 2.0))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`distribute-rgt-in` `distribute-lft-in`
18×	`prod-diff`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `associate-r/` `associate-l*`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 74

Calls

2 calls:

6.0ms	(* x (- 3.0 (* x 2.0)))
8.0ms	(* x (* x (- 3.0 (* x 2.0))))

series157.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(* x (- 3.0 (* x 2.0)))
79.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify50.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	248	535
1	1174	460
2	5001	440

prune103.0ms

Filtered

80 candidates to 38 candidates (47.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	80	5	85

Merged error: 0b

Counts

85 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
0.2b	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
0.2b	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
33×	`add-exp-log`
27×	`pow-prod-down`
21×	`prod-exp` `cbrt-unprod`
20×	`add-cbrt-cube`
7×	`associate-r` `add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow-plus` `pow-prod-up`
3×	`cbrt-prod` `expm1-log1p-u` `log1p-expm1-u`
2×	`pow2` `associate-l` `sum-log` `pow-sqr` `*-commutative`
1×	`+-commutative` `neg-sub0` `associate-+r-` `fma-def` `flip3-+` `unsub-neg` `neg-log` `flip-+` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

16.0ms	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
12.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
20.0ms	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series366.0ms

Counts

3 → 9

Calls

3 calls:

179.0ms	(+ (* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) (- (* 2.0 (pow x 3))))
83.0ms	(* (* x x) (* (cbrt 3.0) (cbrt 3.0)))
103.0ms	(* (* (* x x) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	324	694
1	1814	511
2	5001	450

prune172.0ms

Filtered

90 candidates to 51 candidates (56.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	90	5	95

Merged error: 0b

Counts

95 → 5

regimes23.0ms

Accuracy

0% (0.2b 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	10	4
1	10	4

end0.0ms

sample359.0ms

Algorithm

intervals

Results

233.0ms

11834×

body

valid