Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

365×

body

valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (39.0ms)

Iter	Nodes	Cost
0	27	6
1	63	6
2	154	5
3	323	5
4	426	5
5	528	5
6	604	5
7	832	5
8	1464	4
9	2035	4
10	2064	4
11	2064	4

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
3.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

series74.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
43.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

simplify58.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	108	205
1	332	171
2	2344	171
3	5003	168

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 9.0 x) 12.0)
0.1b	(fma x (- (* 9.0 x) 12.0) 3.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `flip--` `fma-udef`

Counts

2 → 28

Calls

2 calls:

3.0ms	(- (* 9.0 x) 12.0)
0.0ms	(fma x (- (* 9.0 x) 12.0) 3.0)

series67.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- (* 9.0 x) 12.0)
30.0ms	(fma x (- (* 9.0 x) 12.0) 3.0)

simplify80.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	140	157
1	462	122
2	2558	119
3	5002	115

prune63.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma x (- (* x 3.0) 4.0) 1.0)) (cbrt (fma x (- (* x 3.0) 4.0) 1.0)))
0.2b	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))
0.2b	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))
0.2b	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt (fma x (- (* x 3.0) 4.0) 1.0)) (cbrt (fma x (- (* x 3.0) 4.0) 1.0)))
0.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))
0.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))
1.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))

series640.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (cbrt (fma x (- (* x 3.0) 4.0) 1.0)) (cbrt (fma x (- (* x 3.0) 4.0) 1.0)))
156.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))
155.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))
158.0ms	(cbrt (fma x (- (* x 3.0) 4.0) 1.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	350	1099
1	1215	1024
2	5002	912

prune268.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(* (fma x (- (* x 3.0) 4.0) 1.0) (sqrt 3.0))
0.8b	(* (* (fma x (- (* x 3.0) 4.0) 1.0) (sqrt 3.0)) (sqrt 3.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
4.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) (sqrt 3.0))
11.0ms	(* (* (fma x (- (* x 3.0) 4.0) 1.0) (sqrt 3.0)) (sqrt 3.0))

series178.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
65.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) (sqrt 3.0))
84.0ms	(* (* (fma x (- (* x 3.0) 4.0) 1.0) (sqrt 3.0)) (sqrt 3.0))

simplify35.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	208	501
1	867	409
2	5002	384

prune109.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes21.0ms

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
1	8	3

end0.0ms

sample400.0ms

Algorithm

intervals

Results

279.0ms

10762×

body

valid