Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	47×	body	1280	valid
6.0ms	137×	body	80	valid
6.0ms	45×	body	640	valid
2.0ms	17×	body	320	valid
1.0ms	10×	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: 28.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.5b	(cbrt x)
2.4b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite29.0ms

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:

2.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
25.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series418.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(cbrt (+ x 1.0))
176.0ms	(cbrt x)
153.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify159.0ms

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

prune153.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.5b	(cbrt x)
1.9b	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
2.4b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

2.0ms	(cbrt (+ x 1.0))
0.0ms	(cbrt x)
53.0ms	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
22.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series571.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (+ x 1.0))
183.0ms	(cbrt x)
146.0ms	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
153.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify36.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	336	568
1	1025	536
2	5001	505

prune240.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.2b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
0.2b	(cbrt (+ x 1.0))
0.5b	(cbrt x)
2.4b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite57.0ms

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:

26.0ms	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
5.0ms	(cbrt (+ x 1.0))
0.0ms	(cbrt x)
22.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series642.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(pow (- (cbrt (+ x 1.0)) (cbrt x)) 3)
88.0ms	(cbrt (+ x 1.0))
177.0ms	(cbrt x)
154.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify77.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (67.0ms)

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

prune268.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
2.4b	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 46

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
11.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series709.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt x)
181.0ms	(cbrt x)
176.0ms	(cbrt x)
176.0ms	(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify133.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	243	356
1	829	292
2	4198	276
3	5001	276

prune159.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.6b

regimes89.0ms

Accuracy

98.3% (0.4b remaining)

Error of 8.4b against oracle of 8.1b and baseline of 29.4b

bsearch78.0ms

Steps

Iters	Range		Point
9	4.470557786745182e-11	0.00035723662727133143	1.6325139996809951e-09
9	-27324391.726681516	-29.541817090935037	-5417.701077393596

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	28
1	51	28
2	51	28

end0.0ms

sample879.0ms

Algorithm

intervals

Results

313.0ms	1684×	body	1280	valid
196.0ms	4142×	body	80	valid
180.0ms	1253×	body	640	valid
66.0ms	610×	body	320	valid
24.0ms	311×	body	160	valid