Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	65×	body	1280	valid
3.0ms	130×	body	80	valid
3.0ms	33×	body	640	valid
1.0ms	22×	body	320	valid
0.0ms	6×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.2b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

64×	`cbrt-prod`
56×	`*-un-lft-identity`
42×	`prod-diff`
41×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
9×	`distribute-lft-out`
7×	`fma-neg`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 99

Calls

3 calls:

2.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
28.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series426.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(cbrt (+ x 1.0))
182.0ms	(cbrt x)
153.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify57.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	430	1315
1	1394	1045
2	5001	981

prune247.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 21.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
0.2b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.2b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-prod`
74×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
42×	`prod-diff`
37×	`add-cube-cbrt`
12×	`difference-of-squares`
11×	`distribute-lft-out`
10×	`unpow-prod-down` `cube-prod`
9×	`distribute-lft-out--`
7×	`fma-neg`
6×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow`
2×	`cube-div` `cbrt-div` `flip3--` `pow1/3` `flip--`
1×	`cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `flip3-+` `diff-log` `unpow3` `pow-exp` `flip-+` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 140

Calls

4 calls:

28.0ms	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
2.0ms	(cbrt (+ x 1.0))
4.0ms	(cbrt x)
28.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series645.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
91.0ms	(cbrt (+ x 1.0))
175.0ms	(cbrt x)
153.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify100.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	852	1818
1	3757	1458
2	5001	1454

prune405.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 17.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (* (cbrt x) (cbrt x)))
10.9b	(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod` `*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`fma-neg` `prod-diff`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow1/3`
2×	`distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 63

Calls

4 calls:

0.0ms	(cbrt x)
3.0ms	(cbrt (* (cbrt x) (cbrt x)))
3.0ms	(cbrt (* (cbrt x) (cbrt x)))
27.0ms	(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))

series879.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt x)
270.0ms	(cbrt (* (cbrt x) (cbrt x)))
274.0ms	(cbrt (* (cbrt x) (cbrt x)))
149.0ms	(- (cbrt (+ x 1.0)) (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x)))))

simplify106.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	312	737
1	904	642
2	3506	628
3	5001	627

prune369.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 17.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (* (cbrt x) (cbrt x)))
1.7b	(- (+ x 1.0) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
9×	`add-log-exp`
5×	`distribute-lft-out`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `add-cbrt-cube` `log1p-expm1-u`
3×	`cbrt-prod` `pow1/3`
2×	`diff-log` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

3.0ms	(cbrt (* (cbrt x) (cbrt x)))
3.0ms	(cbrt (* (cbrt x) (cbrt x)))
3.0ms	(cbrt (* (cbrt x) (cbrt x)))
23.0ms	(- (+ x 1.0) x)

series814.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(cbrt (* (cbrt x) (cbrt x)))
275.0ms	(cbrt (* (cbrt x) (cbrt x)))
272.0ms	(cbrt (* (cbrt x) (cbrt x)))
1.0ms	(- (+ x 1.0) x)

simplify105.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	175	456
1	581	334
2	3397	289
3	5001	278

prune345.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 17.5b

regimes56.0ms

Accuracy

0% (0.2b remaining)

Error of 15.4b against oracle of 15.1b and baseline of 15.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	37
1	26	37

end0.0ms

sample545.0ms

Algorithm

intervals

Results

196.0ms	1742×	body	1280	valid
100.0ms	1191×	body	640	valid
94.0ms	4123×	body	80	valid
41.0ms	623×	body	320	valid
14.0ms	321×	body	160	valid