Details

sample30.0ms

Algorithm

intervals

Results

10.0ms	61×	body	1280	valid
5.0ms	52×	body	640	valid
3.0ms	172×	body	80	valid
3.0ms	40×	body	320	valid
1.0ms	16×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	13	3
2	15	3
3	15	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.6b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
5.8b	(- (exp x) 1.0)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
15×	`times-frac`
9×	`prod-diff`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `associate-/r*`
2×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 68

Calls

2 calls:

29.0ms	(/ (- (exp x) 1.0) x)
12.0ms	(- (exp x) 1.0)

series48.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (- (exp x) 1.0) x)
14.0ms	(- (exp x) 1.0)

simplify41.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	282	468
1	919	380
2	5001	377

prune134.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 1/6 (pow x 2) (fma 1/2 x 1))

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

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify25.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	36	59
1	104	52
2	535	52
3	5002	52

prune31.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 (exp x)) x)
5.8b	(- 1.0 (exp x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
15×	`times-frac`
9×	`prod-diff`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-neg` `associate-/r*`
2×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 68

Calls

2 calls:

20.0ms	(/ (- 1.0 (exp x)) x)
11.0ms	(- 1.0 (exp x))

series43.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- 1.0 (exp x)) x)
12.0ms	(- 1.0 (exp x))

simplify40.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	290	506
1	953	401
2	5001	399

prune123.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1.0 (exp x)))
5.8b	(- 1.0 (exp x))
5.8b	(- 1.0 (exp x))
5.8b	(- 1.0 (exp x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`fma-neg`
5×	`cbrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 101

Calls

4 calls:

5.0ms	(cbrt (- 1.0 (exp x)))
8.0ms	(- 1.0 (exp x))
8.0ms	(- 1.0 (exp x))
8.0ms	(- 1.0 (exp x))

series134.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (- 1.0 (exp x)))
12.0ms	(- 1.0 (exp x))
12.0ms	(- 1.0 (exp x))
16.0ms	(- 1.0 (exp x))

simplify86.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	203	856
1	577	564
2	2739	525
3	5001	478

prune229.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes40.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.0b

bsearch20.0ms

Steps

Iters	Range		Point
7	-0.00024241826916865248	-9.93567350853914e-07	-0.00015529374486214826

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	7
1	23	7
2	23	7

end0.0ms

sample900.0ms

Algorithm

intervals

Results

384.0ms	2317×	body	1280	valid
166.0ms	1615×	body	640	valid
98.0ms	5464×	body	80	valid
59.0ms	887×	body	320	valid
17.0ms	395×	body	160	valid