Details

sample16.0ms

Algorithm

intervals

Results

6.0ms	281×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ (+ 10.0 d2) 20.0))
0.0b	(+ (+ 10.0 d2) 20.0)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `distribute-lft-out`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-l` `sum-log`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

71.0ms	(* d1 (+ (+ 10.0 d2) 20.0))
28.0ms	(+ (+ 10.0 d2) 20.0)

series49.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* d1 (+ (+ 10.0 d2) 20.0))
17.0ms	(+ (+ 10.0 d2) 20.0)

simplify88.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	177	179
1	791	157
2	4227	156
3	5001	156

prune65.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 30.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

19.0ms

(* d1 (+ d2 30.0))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* d1 (+ d2 30.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	126	86
1	534	76
2	2147	76
3	5001	76

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ (+ 10.0 d2) 20.0))
0.2b	(cbrt (+ (+ 10.0 d2) 20.0))
0.2b	(cbrt (+ (+ 10.0 d2) 20.0))
0.7b	(* (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))) (cbrt (+ (+ 10.0 d2) 20.0)))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
29×	`*-un-lft-identity`
28×	`frac-times`
23×	`pow1`
21×	`cbrt-prod`
14×	`associate-*l/`
12×	`pow1/3` `distribute-lft-out`
11×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cube-cbrt` `pow-prod-up`
8×	`associate-r/` `associate-r*`
6×	`pow-plus`
5×	`pow-prod-down` `add-cbrt-cube`
4×	`add-log-exp`
3×	`prod-exp` `pow-sqr` `cbrt-unprod`
2×	`pow2` `unswap-sqr`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 108

Calls

4 calls:

16.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
16.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
15.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
214.0ms	(* (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))) (cbrt (+ (+ 10.0 d2) 20.0)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
82.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
83.0ms	(cbrt (+ (+ 10.0 d2) 20.0))
17.0ms	(* (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))) (cbrt (+ (+ 10.0 d2) 20.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	381	1467
1	1278	1306
2	5002	1226

prune222.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
0.0b	(+ (+ 10.0 d2) 20.0)
0.0b	(pow (+ (+ 10.0 d2) 20.0) 3)
10.9b	(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
36×	`cbrt-prod`
24×	`add-sqr-sqrt`
21×	`distribute-lft-out`
19×	`associate-r`
16×	`unpow-prod-down` `cube-prod`
15×	`add-cube-cbrt`
9×	`add-log-exp`
7×	`pow1` `add-exp-log`
6×	`cube-div` `add-cbrt-cube`
5×	`unswap-sqr`
4×	`cbrt-div` `flip3-+` `flip-+` `sqr-pow`
3×	`cube-mult` `pow-unpow` `unpow3` `associate-l` `sum-log`
2×	`associate-*r/`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 111

Calls

4 calls:

131.0ms	(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
25.0ms	(+ (+ 10.0 d2) 20.0)
38.0ms	(pow (+ (+ 10.0 d2) 20.0) 3)
33.0ms	(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

series93.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* d1 (cbrt (pow (+ (+ 10.0 d2) 20.0) 3)))
16.0ms	(+ (+ 10.0 d2) 20.0)
25.0ms	(pow (+ (+ 10.0 d2) 20.0) 3)
20.0ms	(cbrt (pow (+ (+ 10.0 d2) 20.0) 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	304	564
1	1480	534
2	5001	523

prune168.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	2
1	7	2

end0.0ms

sample400.0ms

Algorithm

intervals

Results

199.0ms	8979×	body	80	valid
6.0ms	60×	body	1280	valid
3.0ms	43×	body	640	valid
1.0ms	24×	body	320	valid
0.0ms	11×	body	160	valid