Details

sample39.0ms

Algorithm

intervals

Results

16.0ms	114×	body	1280	valid
7.0ms	83×	body	640	valid
3.0ms	374×	pre	80	true
2.0ms	33×	body	320	valid
1.0ms	127×	body	80	valid
1.0ms	17×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize3.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (exp x) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

5.0ms

(- (exp x) 1.0)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify62.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	140	205
1	403	130
2	2063	120
3	5003	90

prune60.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/6 (pow x 3) x)
0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma 1/6 (pow x 3) x)
0.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

series102.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(fma 1/6 (pow x 3) x)
27.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify40.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	55	118
1	186	104
2	1137	104
3	5001	104

prune70.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
4.7b	(fma (- 1.0) 1.0 (exp (+ x x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
4×	`associate-/r*`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `fma-udef` `div-inv`

Counts

3 → 62

Calls

3 calls:

4.0ms	(+ (exp x) 1.0)
7.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (exp x) 1.0)
66.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
40.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

simplify90.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	217	568
1	607	522
2	2817	511
3	5003	511

prune158.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
0.0b	(fma 1.0 (+ (exp x) 1.0) (exp (+ x x)))
0.0b	(pow (exp x) 3)
4.6b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

233×	`add-sqr-sqrt`
163×	`*-un-lft-identity`
144×	`prod-diff`
138×	`unpow-prod-down` `cube-prod`
113×	`add-cube-cbrt`
80×	`difference-of-squares`
75×	`times-frac`
66×	`sqr-pow`
26×	`cube-mult` `unpow3`
25×	`associate-/l*` `distribute-lft-out--`
12×	`fma-neg`
7×	`add-cbrt-cube`
6×	`add-exp-log` `add-log-exp`
5×	`pow1` `difference-cubes`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod` `associate-/r*`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `pow-exp` `clear-num` `fma-udef` `div-inv` `rem-cube-cbrt`

Counts

4 → 350

Calls

4 calls:

63.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
0.0ms	(fma 1.0 (+ (exp x) 1.0) (exp (+ x x)))
2.0ms	(pow (exp x) 3)
24.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series197.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (fma 1.0 (+ (exp x) 1.0) (exp (+ x x))))
33.0ms	(fma 1.0 (+ (exp x) 1.0) (exp (+ x x)))
24.0ms	(pow (exp x) 3)
43.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify138.0ms

Algorithm

egg-herbie

Counts

362 → 362

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	795	4646
1	2952	3884
2	5002	3789

prune436.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

481.0ms	3389×	body	1280	valid
225.0ms	2569×	body	640	valid
100.0ms	11928×	pre	80	true
67.0ms	1287×	body	320	valid
47.0ms	4113×	body	80	valid
19.0ms	570×	body	160	valid