Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify218.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	12	5
2	14	5
3	15	5
4	20	5
5	41	5
6	66	5
7	165	5
8	1121	5
9	5002	5

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ 2.0 (+ (exp x) (exp (- x))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

1 → 5

Calls

1 calls:

4.0ms

(/ 2.0 (+ (exp x) (exp (- x))))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(/ 2.0 (+ (exp x) (exp (- x))))

simplify155.0ms

Algorithm

egg-herbie

Counts

8 → 8

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	80	49
1	211	48
2	703	48
3	3768	48
4	5002	48

prune22.0ms

Filtered

8 candidates to 7 candidates (87.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	3	9

Merged error: 0.0b

Counts

9 → 3

localize9.0ms

Local error

Found 1 expressions with local error:

12.8b

(fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`fma-udef`

Counts

1 → 1

Calls

1 calls:

1.0ms

(fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(fma (pow x 4) 0.20833333333333334 (- 1.0 (* 0.5 (pow x 2))))

simplify126.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	20
1	93	17
2	233	17
3	752	17
4	3262	17
5	5001	17

prune8.0ms

Filtered

4 candidates to 2 candidates (50.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	4	3	7

Merged error: 0.0b

Counts

7 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.5b	(* (exp x) (exp (- x)))
0.5b	(* (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
1.8b	(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

61×	`exp-neg`
44×	`associate-*r/`
39×	`neg-sub0` `exp-diff`
27×	`frac-sub`
21×	`un-div-inv`
20×	`frac-times`
19×	`*-commutative`
16×	`associate-*l/`
15×	`sub-div`
12×	`associate-+r+` `prod-diff`
8×	`distribute-rgt-in` `distribute-lft-in`
6×	`flip3-+` `flip-+`
3×	`sub-neg` `frac-2neg` `associate-l` `clear-num` `associate-/r*` `sum-cubes`
2×	`+-commutative` `distribute-rgt-out--` `fma-neg` `associate-/r/` `distribute-lft-out--`
1×	`pow-to-exp` `flip3--` `unpow3` `rgt-mult-inverse` `pow-exp` `prod-exp` `flip--` `div-inv` `sqr-pow`

Counts

4 → 100

Calls

4 calls:

2.0ms	(pow (exp x) 3)
4.0ms	(* (exp x) (exp (- x)))
18.0ms	(* (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
11.0ms	(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

series348.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow (exp x) 3)
53.0ms	(* (exp x) (exp (- x)))
215.0ms	(* (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
53.0ms	(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

simplify90.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	735	1597
1	3087	1210
2	5001	1164

prune194.0ms

Filtered

112 candidates to 42 candidates (37.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	112	3	115

Merged error: 0b

Counts

115 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- x)) 4)
0.2b	(/ (fma (pow (exp (- x)) 4) 1 (- 1)) (+ (pow (exp (- x)) 2) 1))
0.5b	(* (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (+ (* (exp x) (exp x)) (/ (fma (pow (exp (- x)) 4) 1 (- 1)) (+ (pow (exp (- x)) 2) 1))))
1.7b	(fma (pow (exp (- x)) 4) 1 (- 1))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

8×	`frac-times`
7×	`flip3-+` `flip-+`
4×	`frac-2neg` `associate-*l/` `clear-num` `associate-/r/`
3×	`associate-l` `associate-/r*` `sum-cubes`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/` `div-inv`
1×	`pow-to-exp` `neg-mul-1` `exp-prod` `pow-pow` `pow-exp` `*-commutative` `fma-udef` `sqr-pow`

Counts

4 → 32

Calls

4 calls:

3.0ms	(pow (exp (- x)) 4)
5.0ms	(/ (fma (pow (exp (- x)) 4) 1 (- 1)) (+ (pow (exp (- x)) 2) 1))
15.0ms	(* (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (+ (* (exp x) (exp x)) (/ (fma (pow (exp (- x)) 4) 1 (- 1)) (+ (pow (exp (- x)) 2) 1))))
1.0ms	(fma (pow (exp (- x)) 4) 1 (- 1))

series405.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(pow (exp (- x)) 4)
85.0ms	(/ (fma (pow (exp (- x)) 4) 1 (- 1)) (+ (pow (exp (- x)) 2) 1))
250.0ms	(* (/ 2.0 (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (+ (* (exp x) (exp x)) (/ (fma (pow (exp (- x)) 4) 1 (- 1)) (+ (pow (exp (- x)) 2) 1))))
44.0ms	(fma (pow (exp (- x)) 4) 1 (- 1))

simplify60.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	486	904
1	2405	828
2	5002	813

prune190.0ms

Filtered

44 candidates to 34 candidates (77.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	44	3	47

Merged error: 0b

Counts

47 → 3

regimes52.0ms

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	8	5
1	8	5

end0.0ms

sample259.0ms

Algorithm

intervals

Results

172.0ms

8000×

body

valid