Details

sample46.0ms

Algorithm

intervals

Results

18.0ms	120×	body	1280	valid
8.0ms	79×	body	640	valid
5.0ms	371×	pre	80	overflowed
3.0ms	43×	body	320	valid
3.0ms	120×	body	80	valid
0.0ms	9×	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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize3.0ms

Local error

Found 1 expressions with local error:

3.0b	(- (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)

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

prune53.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

series106.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
75.0ms	(fma 1/6 (pow x 3) x)

simplify38.0ms

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

prune67.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/6 (pow x 3) x)
0.0b	(fma 1/2 (pow x 2) (exp (log (fma 1/6 (pow x 3) x))))
2.8b	(exp (log (fma 1/6 (pow x 3) x)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `exp-prod`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`log-pow` `rem-exp-log`

Counts

3 → 37

Calls

3 calls:

0.0ms	(fma 1/6 (pow x 3) x)
0.0ms	(fma 1/2 (pow x 2) (exp (log (fma 1/6 (pow x 3) x))))
2.0ms	(exp (log (fma 1/6 (pow x 3) x)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify40.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	89	217
1	239	192
2	1223	187
3	5002	181

prune114.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (fma 1/6 (pow x 3) x)))
0.3b	(* (cbrt (log (fma 1/6 (pow x 3) x))) (cbrt (log (fma 1/6 (pow x 3) x))))
1.6b	(exp (* (cbrt (log (fma 1/6 (pow x 3) x))) (cbrt (log (fma 1/6 (pow x 3) x)))))
2.8b	(pow (exp (* (cbrt (log (fma 1/6 (pow x 3) x))) (cbrt (log (fma 1/6 (pow x 3) x))))) (cbrt (log (fma 1/6 (pow x 3) x))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
24×	`add-sqr-sqrt`
20×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
9×	`swap-sqr`
8×	`log-pow`
7×	`pow-unpow` `pow1/3` `associate-r` `associate-l` `add-log-exp`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `unswap-sqr`
3×	`unpow-prod-down` `pow-pow`
2×	`exp-prod` `exp-to-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log` `sqr-pow`

Counts

4 → 98

Calls

4 calls:

4.0ms	(cbrt (log (fma 1/6 (pow x 3) x)))
7.0ms	(* (cbrt (log (fma 1/6 (pow x 3) x))) (cbrt (log (fma 1/6 (pow x 3) x))))
1.0ms	(exp (* (cbrt (log (fma 1/6 (pow x 3) x))) (cbrt (log (fma 1/6 (pow x 3) x)))))
3.0ms	(pow (exp (* (cbrt (log (fma 1/6 (pow x 3) x))) (cbrt (log (fma 1/6 (pow x 3) x))))) (cbrt (log (fma 1/6 (pow x 3) x))))

series1.8s

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (log (fma 1/6 (pow x 3) x)))
233.0ms	(* (cbrt (log (fma 1/6 (pow x 3) x))) (cbrt (log (fma 1/6 (pow x 3) x))))
287.0ms	(exp (* (cbrt (log (fma 1/6 (pow x 3) x))) (cbrt (log (fma 1/6 (pow x 3) x)))))
1.1s	(pow (exp (* (cbrt (log (fma 1/6 (pow x 3) x))) (cbrt (log (fma 1/6 (pow x 3) x))))) (cbrt (log (fma 1/6 (pow x 3) x))))

simplify247.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1580	2686
1	5001	2524

prune458.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample1.3s

Algorithm

intervals

Results

549.0ms	3418×	body	1280	valid
253.0ms	2506×	body	640	valid
150.0ms	12021×	pre	80	overflowed
93.0ms	4214×	body	80	valid
89.0ms	1272×	body	320	valid
28.0ms	611×	body	160	valid