Details

sample55.0ms

Algorithm

intervals

Results

20.0ms	100×	body	1280	valid
11.0ms	81×	body	640	valid
7.0ms	372×	pre	80	true
4.0ms	46×	body	320	valid
3.0ms	125×	body	80	valid
1.0ms	20×	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize3.0ms

Local error

Found 1 expressions with local error:

5.7b	(- (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)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(- (exp x) 1.0)

simplify60.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (57.0ms)

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

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

0.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify32.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	45	74
1	152	65
2	948	65
3	5001	65

prune65.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

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))
5.5b	(fma (- 1.0) 1.0 (exp (+ x x)))

rewrite12.0ms

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)))

series16.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ (exp x) 1.0)
10.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ (exp x) 1.0))
4.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (17.0ms)

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

prune374.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(* (fma (- 1.0) 1.0 (exp (+ x x))) (/ 1 (+ (exp x) 1.0)))
0.0b	(/ 1 (+ (exp x) 1.0))
5.5b	(fma (- 1.0) 1.0 (exp (+ x x)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
26×	`times-frac`
23×	`add-cube-cbrt`
18×	`associate-r`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`distribute-lft-out`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `associate-/r*` `associate-/r/` `log1p-expm1-u`
3×	`fma-def` `flip3-+` `associate-l` `flip-+` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

4 → 109

Calls

4 calls:

4.0ms	(+ (exp x) 1.0)
18.0ms	(* (fma (- 1.0) 1.0 (exp (+ x x))) (/ 1 (+ (exp x) 1.0)))
7.0ms	(/ 1 (+ (exp x) 1.0))
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

series22.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ (exp x) 1.0)
10.0ms	(* (fma (- 1.0) 1.0 (exp (+ x x))) (/ 1 (+ (exp x) 1.0)))
5.0ms	(/ 1 (+ (exp x) 1.0))
4.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	340	830
1	1309	726
2	5001	682

prune559.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes38.0ms

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

sample1.7s

Algorithm

intervals

Results

704.0ms	3467×	body	1280	valid
341.0ms	2537×	body	640	valid
223.0ms	11868×	pre	80	true
110.0ms	1223×	body	320	valid
96.0ms	4047×	body	80	valid
34.0ms	594×	body	160	valid