Details

sample48.0ms

Algorithm

intervals

Results

17.0ms	97×	body	1280	valid
8.0ms	33×	body	640	valid
5.0ms	191×	body	80	valid
2.0ms	22×	body	320	valid
1.0ms	15×	body	160	valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	26	3
3	48	3
4	110	3
5	318	3
6	1623	3
7	5001	3

prune4.0ms

Filtered

1 candidates to 0 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: 29.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.3b	(- (exp (* a x)) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 24

Calls

2 calls:

2.0ms	(exp (* a x))
4.0ms	(- (exp (* a x)) 1.0)

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(exp (* a x))
8.0ms	(- (exp (* a x)) 1.0)

simplify42.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	115	135
1	333	127
2	1116	125
3	5001	125

prune85.0ms

Filtered

30 candidates to 20 candidates (33.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	24	6	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	7	31

Merged error: 6.7b

Counts

31 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* x (+ a (* (* 1/2 (pow a 2)) x)))
6.9b	(* (* 1/2 (pow a 2)) x)
12.3b	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
14.7b	(* (pow a 3) (pow x 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
28×	`add-exp-log`
18×	`associate-r`
17×	`prod-exp` `unswap-sqr`
16×	`associate-l`
14×	`unpow-prod-down` `cube-prod`
13×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`sqr-pow`
8×	`pow1`
7×	`pow-to-exp` `pow-exp`
6×	`add-log-exp`
5×	`cbrt-unprod`
3×	`pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `cube-mult` `associate-+l+` `distribute-lft-in` `flip3-+` `unpow3` `associate-*r/` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 113

Calls

4 calls:

5.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
6.0ms	(* (* 1/2 (pow a 2)) x)
7.0ms	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
12.0ms	(* (pow a 3) (pow x 3))

series47.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
4.0ms	(* (* 1/2 (pow a 2)) x)
20.0ms	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
10.0ms	(* (pow a 3) (pow x 3))

simplify101.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	471	797
1	2758	737
2	5001	737

prune511.0ms

Filtered

125 candidates to 75 candidates (40.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	126	6	132

Merged error: 3.5b

Counts

132 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (pow a 2))
0.0b	(+ a (* (* 1/2 (pow a 2)) x))
0.5b	(* x (+ a (* (* 1/2 (pow a 2)) x)))
6.9b	(* (* 1/2 (pow a 2)) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
18×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-cbrt-cube`
11×	`prod-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
7×	`associate-l`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down`
3×	`*-commutative`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-prod-down` `pow-exp` `flip-+` `unpow2` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `sum-log`

Counts

4 → 79

Calls

4 calls:

5.0ms	(* 1/2 (pow a 2))
3.0ms	(+ a (* (* 1/2 (pow a 2)) x))
5.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
6.0ms	(* (* 1/2 (pow a 2)) x)

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 1/2 (pow a 2))
7.0ms	(+ a (* (* 1/2 (pow a 2)) x))
13.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
4.0ms	(* (* 1/2 (pow a 2)) x)

simplify62.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	317	462
1	1753	406
2	5002	404

prune298.0ms

Filtered

91 candidates to 57 candidates (37.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	92	5	97

Merged error: 0.2b

Counts

97 → 5

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	2	2
Total	5	5

Merged error: 0.2b

Counts

5 → 5

regimes409.0ms

Accuracy

96.9% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 21.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

488.0ms	2825×	body	1280	valid
146.0ms	1286×	body	640	valid
130.0ms	5462×	body	80	valid
55.0ms	727×	body	320	valid
20.0ms	397×	body	160	valid

Details

sample48.0ms

simplify62.0ms

prune4.0ms

localize5.0ms

rewrite6.0ms

series12.0ms

simplify42.0ms

prune85.0ms

localize16.0ms

rewrite33.0ms

series47.0ms

simplify101.0ms

prune511.0ms

localize11.0ms

rewrite21.0ms

series27.0ms

simplify62.0ms

prune298.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes409.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling