Details

sample17.0ms

Algorithm

intervals

Results

10.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(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))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify63.0ms

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

prune65.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 49

Calls

2 calls:

7.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
7.0ms	(* (/ 841.0 108.0) x)

series4.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
2.0ms	(* (/ 841.0 108.0) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	252	227
1	873	207
2	3441	206
3	5001	205

prune228.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(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))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify64.0ms

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

prune55.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.2b	(* (sqrt (/ 841.0 108.0)) x)
0.3b	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-l`
28×	`sqrt-prod`
27×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`sqrt-div`
7×	`associate-*l/`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `frac-add` `log1p-expm1-u` `unswap-sqr`
2×	`frac-times` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 89

Calls

3 calls:

20.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
10.0ms	(* (sqrt (/ 841.0 108.0)) x)
21.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series12.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
3.0ms	(* (sqrt (/ 841.0 108.0)) x)
4.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify124.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	337	607
1	1140	534
2	4996	524
3	5001	524

prune538.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b 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

sample419.0ms

Algorithm

intervals

Results

331.0ms	8014×	body	80	valid
0.0ms	1×	body	320	valid