Details

sample13.0ms

Algorithm

intervals

Results

7.0ms

257×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	19	3
2	21	3
3	23	3
4	25	3
5	26	3
6	26	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))

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 (/ 841.0 108.0) x (/ 4.0 29.0))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	53
1	54	46
2	161	46
3	607	46
4	2687	46
5	5003	46

prune30.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.0b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.1b	(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

1.0ms	(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
7.0ms	(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series144.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
33.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
33.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
38.0ms	(* (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (sqrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify171.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	177	525
1	655	457
2	4084	433
3	5001	433

prune167.0ms

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	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.1b	(pow (fma (/ 841.0 108.0) x (/ 4.0 29.0)) 3)
21.5b	(cbrt (pow (fma (/ 841.0 108.0) x (/ 4.0 29.0)) 3))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

0.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
1.0ms	(pow (fma (/ 841.0 108.0) x (/ 4.0 29.0)) 3)
1.0ms	(cbrt (pow (fma (/ 841.0 108.0) x (/ 4.0 29.0)) 3))

series109.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
36.0ms	(pow (fma (/ 841.0 108.0) x (/ 4.0 29.0)) 3)
36.0ms	(cbrt (pow (fma (/ 841.0 108.0) x (/ 4.0 29.0)) 3))

simplify176.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	150	352
1	509	333
2	3679	327
3	5002	327

prune104.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.0b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.1b	(pow (fma (/ 841.0 108.0) x (/ 4.0 29.0)) 2)
21.5b	(cbrt (* (fma (/ 841.0 108.0) x (/ 4.0 29.0)) (pow (fma (/ 841.0 108.0) x (/ 4.0 29.0)) 2)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
2×	`fma-udef` `unpow2`
1×	`cbrt-prod` `pow-to-exp` `pow-pow` `cube-unmult` `pow1/3` `pow-exp` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 52

Calls

4 calls:

0.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
0.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
1.0ms	(pow (fma (/ 841.0 108.0) x (/ 4.0 29.0)) 2)
2.0ms	(cbrt (* (fma (/ 841.0 108.0) x (/ 4.0 29.0)) (pow (fma (/ 841.0 108.0) x (/ 4.0 29.0)) 2)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
33.0ms	(fma (/ 841.0 108.0) x (/ 4.0 29.0))
27.0ms	(pow (fma (/ 841.0 108.0) x (/ 4.0 29.0)) 2)
35.0ms	(cbrt (* (fma (/ 841.0 108.0) x (/ 4.0 29.0)) (pow (fma (/ 841.0 108.0) x (/ 4.0 29.0)) 2)))

simplify47.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	121	348
1	306	306
2	1189	241
3	5002	241

prune132.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes13.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3

end0.0ms

sample244.0ms

Algorithm

intervals

Results

160.0ms	8002×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid