Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	317×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	10×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	81	4
3	166	4
4	225	4
5	227	4
6	227	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`associate-l/` `-commutative`
1×	`diff-log` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

2.0ms	(- 2.0 (* x 3.0))
8.0ms	(* 3.0 (- 2.0 (* x 3.0)))
13.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series210.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- 2.0 (* x 3.0))
68.0ms	(* 3.0 (- 2.0 (* x 3.0)))
100.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	253	437
1	1184	374
2	5002	369

prune179.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.1b	(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `prod-diff` `flip--` `log1p-expm1-u`
2×	`associate-r/` `-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

2.0ms	(- 2.0 (* x 3.0))
7.0ms	(* (- 2.0 (* x 3.0)) x)
11.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series231.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- 2.0 (* x 3.0))
84.0ms	(* (- 2.0 (* x 3.0)) x)
100.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	234	366
1	880	311
2	5001	304

prune155.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 6.0 (* x 9.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in`
3×	`pow1` `add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 32

Calls

1 calls:

8.0ms

(* x (- 6.0 (* x 9.0)))

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

(* x (- 6.0 (* x 9.0)))

simplify119.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	151	198
1	642	173
2	3593	170
3	5001	162

prune73.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
0.3b	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
20×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`associate-r/` `associate-l/` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`cbrt-prod` `fma-neg` `prod-diff` `*-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

2.0ms	(- 2.0 (* x 3.0))
8.0ms	(* (- 2.0 (* x 3.0)) x)
45.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
13.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series508.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- 2.0 (* x 3.0))
85.0ms	(* (- 2.0 (* x 3.0)) x)
213.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
169.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify62.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	358	818
1	1431	632
2	5001	574

prune228.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample373.0ms

Algorithm

intervals

Results

198.0ms	9836×	body	80	valid
27.0ms	313×	body	1280	valid
20.0ms	302×	body	640	valid
7.0ms	137×	body	320	valid
3.0ms	72×	body	160	valid