Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	310×	body	80	valid
1.0ms	10×	body	1280	valid
1.0ms	11×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	2×	body	160	valid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 1

localize6.0ms

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)

rewrite20.0ms

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:

3.0ms	(- 2.0 (* x 3.0))
6.0ms	(* 3.0 (- 2.0 (* x 3.0)))
8.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series204.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- 2.0 (* x 3.0))
65.0ms	(* 3.0 (- 2.0 (* x 3.0)))
97.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (52.0ms)

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

prune154.0ms

Filtered

83 candidates to 54 candidates (65.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	75	8	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	8	84

Merged error: 0.0b

Counts

84 → 8

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))

rewrite18.0ms

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:

4.0ms	(- 2.0 (* x 3.0))
6.0ms	(* (- 2.0 (* x 3.0)) x)
7.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series215.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- 2.0 (* x 3.0))
82.0ms	(* (- 2.0 (* x 3.0)) x)
95.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify52.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (45.0ms)

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

prune137.0ms

Filtered

73 candidates to 50 candidates (68.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	73	8	81

Merged error: 0.0b

Counts

81 → 8

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))

rewrite36.0ms

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:

3.0ms	(- 2.0 (* x 3.0))
6.0ms	(* (- 2.0 (* x 3.0)) x)
15.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
8.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series467.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- 2.0 (* x 3.0))
77.0ms	(* (- 2.0 (* x 3.0)) x)
189.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
157.0ms	(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify63.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (53.0ms)

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

prune200.0ms

Filtered

111 candidates to 67 candidates (60.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	111	8	119

Merged error: 0b

Counts

119 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- 2.0 (* x 3.0)) x)
0.1b	(* (cbrt (sqrt 3.0)) (* (- 2.0 (* x 3.0)) x))
0.2b	(* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (* (- 2.0 (* x 3.0)) x)))
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (* (- 2.0 (* x 3.0)) x))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1` `add-exp-log`
34×	`pow-prod-down` `prod-exp` `cbrt-unprod`
27×	`add-cbrt-cube`
22×	`associate-l`
14×	`add-sqr-sqrt`
12×	`cbrt-prod` `add-cube-cbrt` `-un-lft-identity` `associate-r/`
8×	`associate-*l/`
6×	`associate-r` `sqrt-prod`
4×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

4 → 119

Calls

4 calls:

6.0ms	(* (- 2.0 (* x 3.0)) x)
8.0ms	(* (cbrt (sqrt 3.0)) (* (- 2.0 (* x 3.0)) x))
16.0ms	(* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (* (- 2.0 (* x 3.0)) x)))
20.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (* (- 2.0 (* x 3.0)) x))))

series2.0s

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (- 2.0 (* x 3.0)) x)
561.0ms	(* (cbrt (sqrt 3.0)) (* (- 2.0 (* x 3.0)) x))
636.0ms	(* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (* (- 2.0 (* x 3.0)) x)))
764.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (* (- 2.0 (* x 3.0)) x))))

simplify82.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	449	1421
1	2224	1076
2	5003	1025

prune299.0ms

Filtered

131 candidates to 81 candidates (61.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	131	8	139

Merged error: 0b

Counts

139 → 8

regimes61.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample427.0ms

Algorithm

intervals

Results

233.0ms	9849×	body	80	valid
32.0ms	308×	body	1280	valid
29.0ms	299×	body	640	valid
8.0ms	136×	body	320	valid
2.0ms	57×	body	160	valid

Details

sample18.0ms

simplify31.0ms

prune2.0ms

localize6.0ms

rewrite20.0ms

series204.0ms

simplify63.0ms

prune154.0ms

localize6.0ms

rewrite18.0ms

series215.0ms

simplify52.0ms

prune137.0ms

localize10.0ms

rewrite36.0ms

series467.0ms

simplify63.0ms

prune200.0ms

localize14.0ms

rewrite56.0ms

series2.0s

simplify82.0ms

prune299.0ms

regimes61.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample427.0ms

Profiling