Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	52×	body	1280	valid
3.0ms	42×	body	640	valid
3.0ms	124×	body	80	valid
2.0ms	26×	body	320	valid
0.0ms	12×	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: 31.3b

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.5b	(cbrt x)
3.4b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite58.0ms

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:

4.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
49.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series389.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(cbrt (+ x 1.0))
169.0ms	(cbrt x)
135.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify53.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (43.0ms)

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

prune368.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 19.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (cbrt x))
10.7b	(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt`
11×	`pow1`
8×	`pow1/3`
7×	`fma-neg` `prod-diff`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up` `distribute-lft-out`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `diff-log` `prod-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 97

Calls

4 calls:

10.0ms	(* (cbrt x) (cbrt x))
5.0ms	(cbrt (* (cbrt x) (cbrt x)))
1.0ms	(cbrt (cbrt x))
54.0ms	(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

series833.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt x) (cbrt x))
260.0ms	(cbrt (* (cbrt x) (cbrt x)))
239.0ms	(cbrt (cbrt x))
139.0ms	(- (cbrt (+ x 1.0)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x))))

simplify47.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	399	880
1	1394	774
2	5001	744

prune517.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 19.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
2.7b	(- (+ x 1.0) x)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
19×	`cbrt-prod`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
12×	`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×	`pow1/3`
2×	`diff-log` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

5.0ms	(cbrt (* (cbrt x) (cbrt x)))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
43.0ms	(- (+ x 1.0) x)

series757.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt (* (cbrt x) (cbrt x)))
242.0ms	(cbrt (cbrt x))
242.0ms	(cbrt (cbrt x))
1.0ms	(- (+ x 1.0) x)

simplify109.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	212	470
1	677	344
2	3817	305
3	5001	294

prune780.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.6b

localize20.0ms

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))
0.6b	(cbrt (cbrt x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 54

Calls

4 calls:

5.0ms	(cbrt (* (cbrt x) (cbrt x)))
5.0ms	(cbrt (* (cbrt x) (cbrt x)))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))

series1.0s

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt (* (cbrt x) (cbrt x)))
271.0ms	(cbrt (* (cbrt x) (cbrt x)))
243.0ms	(cbrt (cbrt x))
241.0ms	(cbrt (cbrt x))

simplify76.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 4 (71.0ms)

Iter	Nodes	Cost
0	92	306
1	184	278
2	553	270
3	1965	270
4	5002	264

prune622.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.3b

regimes383.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	32
1	29	32
2	29	32

end0.0ms

sample534.0ms

Algorithm

intervals

Results

190.0ms	1765×	body	1280	valid
102.0ms	1234×	body	640	valid
89.0ms	4080×	body	80	valid
40.0ms	618×	body	320	valid
15.0ms	303×	body	160	valid