Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	58×	body	1280	valid
3.0ms	41×	body	640	valid
3.0ms	135×	body	80	valid
1.0ms	15×	body	320	valid
0.0ms	7×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 28.7b

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.2b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 44

Calls

3 calls:

3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
7.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series417.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(cbrt (+ x 1.0))
174.0ms	(cbrt x)
155.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify160.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	287	358
1	934	344
2	4833	322
3	5001	322

prune159.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 11.3b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.2b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
31×	`cbrt-prod`
12×	`difference-of-squares`
10×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt` `distribute-lft-out--`
6×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`distribute-lft-out`
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 → 83

Calls

4 calls:

9.0ms	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series644.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
91.0ms	(cbrt (+ x 1.0))
176.0ms	(cbrt x)
150.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify78.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	694	859
1	3138	808
2	5001	804

prune286.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (pow (- (cbrt (+ x 1.0)) (cbrt x)) (sqrt 3)) (sqrt 3))
0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.2b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`unpow-prod-down`
23×	`cbrt-prod`
10×	`add-cube-cbrt`
8×	`difference-of-squares`
6×	`add-exp-log` `pow-unpow` `distribute-lft-out--` `add-log-exp`
4×	`pow1` `pow-exp` `add-cbrt-cube`
3×	`sqrt-prod` `distribute-lft-out`
2×	`pow-to-exp` `cbrt-div` `pow1/3` `sqr-pow`
1×	`sub-neg` `flip3--` `pow-pow` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

4 → 77

Calls

4 calls:

11.0ms	(pow (pow (- (cbrt (+ x 1.0)) (cbrt x)) (sqrt 3)) (sqrt 3))
3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series865.0ms

Counts

4 → 12

Calls

4 calls:

443.0ms	(pow (pow (- (cbrt (+ x 1.0)) (cbrt x)) (sqrt 3)) (sqrt 3))
88.0ms	(cbrt (+ x 1.0))
179.0ms	(cbrt x)
154.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify78.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	731	1141
1	3165	1090
2	5001	1090

prune341.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.6b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`cbrt-prod`
26×	`*-un-lft-identity`
12×	`difference-of-squares`
10×	`add-log-exp`
9×	`distribute-lft-out--`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt x)
12.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series627.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt x)
152.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
152.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
147.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify128.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	234	664
1	748	628
2	3971	589
3	5002	589

prune398.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.6b

regimes90.0ms

Accuracy

98.2% (0.4b remaining)

Error of 8.4b against oracle of 8.0b and baseline of 29.4b

bsearch63.0ms

Steps

Iters	Range		Point
7	1.0470030283923776e-18	7.116322985707972e-17	4.9505821770774615e-17
9	-66949431.36780037	-914.1439753575298	-4426.842232407257

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	35
1	53	35
2	53	35

end0.0ms

sample490.0ms

Algorithm

intervals

Results

172.0ms	1701×	body	1280	valid
95.0ms	1226×	body	640	valid
81.0ms	4138×	body	80	valid
34.0ms	610×	body	320	valid
16.0ms	325×	body	160	valid