Details

sample12.0ms

Algorithm

intervals

Results

3.0ms	256×	body	80	valid
2.0ms	256×	pre	80	true

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	25	3
2	39	3
3	70	3
4	181	3
5	682	3
6	2463	3
7	5001	3

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.0b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* x x)) (* x x))
0.1b	(* x (* x x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `pow2` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `sum-log` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

6.0ms	(+ (* x (* x x)) (* x x))
5.0ms	(* x (* x x))

series97.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* x (* x x)) (* x x))
31.0ms	(* x (* x x))

simplify94.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	158	147
1	646	107
2	2546	106
3	5002	102

prune58.0ms

Filtered

43 candidates to 25 candidates (58.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Merged error: 0.0b

Counts

45 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x 1) (* x x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-l*`
3×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `associate-*l/`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

7.0ms

(* (+ x 1) (* x x))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* (+ x 1) (* x x))

simplify79.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	130	113
1	567	94
2	2874	93
3	5002	93

prune35.0ms

Filtered

25 candidates to 14 candidates (56.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- (* x x) 1) (* x x))
0.0b	(/ (* (- (* x x) 1) (* x x)) (- x 1))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

8.0ms	(* (- (* x x) 1) (* x x))
12.0ms	(/ (* (- (* x x) 1) (* x x)) (- x 1))

series177.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (- (* x x) 1) (* x x))
103.0ms	(/ (* (- (* x x) 1) (* x x)) (- x 1))

simplify55.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	325	450
1	2028	372
2	5001	361

prune102.0ms

Filtered

65 candidates to 43 candidates (66.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	63	2	65
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	65	4	69

Merged error: 0b

Counts

69 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* (+ x 1) (* (- x 1) (* x x))) (- x 1))
0.0b	(* (- x 1) (* x x))
0.0b	(* (+ x 1) (* (- x 1) (* x x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt`
18×	`-un-lft-identity` `associate-l/`
17×	`pow1`
15×	`prod-exp` `cbrt-unprod`
11×	`associate-l`
9×	`pow-prod-down`
8×	`frac-times` `flip3--` `flip--` `associate-/l/`
7×	`add-cube-cbrt` `times-frac` `associate-/r*`
6×	`flip3-+` `flip-+` `difference-of-squares`
4×	`cbrt-undiv` `associate-*r/` `div-exp`
3×	`difference-of-sqr-1` `distribute-lft-out--` `add-log-exp`
2×	`associate-r` `associate-/r/` `*-commutative`
1×	`frac-2neg` `clear-num` `div-inv` `distribute-lft-out` `associate-/l*` `unswap-sqr`

Counts

3 → 98

Calls

3 calls:

15.0ms	(/ (* (+ x 1) (* (- x 1) (* x x))) (- x 1))
8.0ms	(* (- x 1) (* x x))
12.0ms	(* (+ x 1) (* (- x 1) (* x x)))

series202.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (* (+ x 1) (* (- x 1) (* x x))) (- x 1))
50.0ms	(* (- x 1) (* x x))
103.0ms	(* (+ x 1) (* (- x 1) (* x x)))

simplify77.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	446	777
1	2927	609
2	5002	565

prune171.0ms

Filtered

107 candidates to 68 candidates (63.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	0	1
Picked	0	1	1
Done	1	1	2
Total	108	3	111

Merged error: 0b

Counts

111 → 3

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0ms

sample267.0ms

Algorithm

intervals

Results

112.0ms	8000×	body	80	valid
66.0ms	8000×	pre	80	true