Details

sample71.0ms

Algorithm

intervals

Results

33.0ms	110×	body	1280	valid
14.0ms	78×	body	640	valid
7.0ms	243×	body	80	overflowed
4.0ms	39×	body	320	valid
1.0ms	21×	body	160	valid
0.0ms	8×	body	80	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (45.0ms)

Iter	Nodes	Cost
0	15	9
1	24	9
2	32	9
3	44	9
4	63	9
5	179	9
6	1184	9
7	5001	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1 1 (exp (+ x x)))
0.3b	(/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv` `expm1-udef`

Counts

2 → 40

Calls

2 calls:

0.0ms	(fma 1 1 (exp (+ x x)))
5.0ms	(/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))

series83.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(fma 1 1 (exp (+ x x)))
64.0ms	(/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))

simplify76.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	150	395
1	512	351
2	2464	344
3	5002	343

prune114.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
0.1b	(* 1/3 (pow x 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 43

Calls

2 calls:

0.0ms	(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
12.0ms	(* 1/3 (pow x 3))

series82.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
32.0ms	(* 1/3 (pow x 3))

simplify167.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	149	210
1	589	185
2	3445	185
3	5001	185

prune111.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
0.1b	(* 1/3 (pow x 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 43

Calls

2 calls:

0.0ms	(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
12.0ms	(* 1/3 (pow x 3))

series87.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
37.0ms	(* 1/3 (pow x 3))

simplify165.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	149	210
1	589	185
2	3445	185
3	5001	185

prune109.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
0.1b	(* 1/3 (pow x 3))
3.0b	(exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `exp-prod` `cube-prod` `unswap-sqr`
3×	`expm1-log1p-u` `log-prod` `associate-l` `exp-sum` `prod-exp` `log1p-expm1-u` `add-log-exp`
2×	`sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `rem-exp-log`

Counts

3 → 60

Calls

3 calls:

0.0ms	(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
12.0ms	(* 1/3 (pow x 3))
3.0ms	(exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))

series134.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))
33.0ms	(* 1/3 (pow x 3))
50.0ms	(exp (log (fma (pow x 5) 2/15 (- x (* 1/3 (pow x 3))))))

simplify169.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (163.0ms)

Iter	Nodes	Cost
0	180	360
1	651	321
2	3531	309
3	5002	303

prune155.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes19.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	6
1	13	6
2	13	6

end0.0ms

sample2.1s

Algorithm

intervals

Results

998.0ms	3309×	body	1280	valid
445.0ms	2433×	body	640	valid
206.0ms	7549×	body	80	overflowed
140.0ms	1224×	body	320	valid
45.0ms	636×	body	160	valid
15.0ms	398×	body	80	valid