Details

sample19.0ms

Algorithm

intervals

Results

7.0ms	307×	body	80	valid
1.0ms	9×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	6×	body	160	valid
0.0ms	1×	body	1280	valid

simplify10.0ms

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ 3.0 d2) d3)
0.0b	(* d1 (+ (+ 3.0 d2) d3))

rewrite52.0ms

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:

13.0ms	(+ (+ 3.0 d2) d3)
38.0ms	(* d1 (+ (+ 3.0 d2) d3))

series44.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ (+ 3.0 d2) d3)
32.0ms	(* d1 (+ (+ 3.0 d2) d3))

simplify96.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	180	185
1	842	163
2	4491	162
3	5002	162

prune77.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ 3.0 (+ d2 d3)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

31.0ms

(* d1 (+ 3.0 (+ d2 d3)))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(* d1 (+ 3.0 (+ d2 d3)))

simplify101.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	147	117
1	741	103
2	4508	103
3	5002	103

prune46.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 3.0 (+ d2 d3)))
0.3b	(cbrt (+ 3.0 (+ d2 d3)))
0.4b	(* (* d1 (* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))) (cbrt (+ 3.0 (+ d2 d3))))
0.4b	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
70×	`cbrt-div`
51×	`cbrt-prod`
35×	`flip3-+` `flip-+`
34×	`associate-*r/`
33×	`distribute-lft-out`
32×	`frac-times`
24×	`add-sqr-sqrt`
20×	`pow1`
16×	`add-cube-cbrt` `associate-r` `associate-*l/`
15×	`add-exp-log`
14×	`swap-sqr`
9×	`associate-l`
8×	`pow1/3` `pow-prod-down` `add-cbrt-cube`
7×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 142

Calls

4 calls:

7.0ms	(cbrt (+ 3.0 (+ d2 d3)))
7.0ms	(cbrt (+ 3.0 (+ d2 d3)))
214.0ms	(* (* d1 (* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))) (cbrt (+ 3.0 (+ d2 d3))))
60.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))

series315.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (+ 3.0 (+ d2 d3)))
96.0ms	(cbrt (+ 3.0 (+ d2 d3)))
32.0ms	(* (* d1 (* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))) (cbrt (+ 3.0 (+ d2 d3))))
93.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))

simplify80.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	593	1998
1	2282	1812
2	5002	1668

prune285.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (* d1 (* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))) (cbrt (* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3)))))) (cbrt (cbrt (+ 3.0 (+ d2 d3)))))
0.4b	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
0.4b	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
0.4b	(cbrt (cbrt (+ 3.0 (+ d2 d3))))

rewrite984.0ms

Algorithm

rewrite-expression-head

Rules

1216×	`cbrt-div`
576×	`frac-times`
418×	`flip3-+` `flip-+`
354×	`associate-*r/`
216×	`associate-*l/`
123×	`*-un-lft-identity`
98×	`cbrt-prod`
54×	`distribute-lft-out`
41×	`add-sqr-sqrt`
32×	`pow1`
28×	`swap-sqr`
27×	`associate-r`
25×	`add-cube-cbrt`
22×	`add-exp-log`
17×	`associate-l`
14×	`pow-prod-down`
13×	`pow1/3`
12×	`prod-exp` `cbrt-unprod`
9×	`add-cbrt-cube`
8×	`unswap-sqr`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
3×	`*-commutative`
2×	`pow2` `pow-plus`

Counts

4 → 412

Calls

4 calls:

798.0ms	(* (* (* d1 (* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))) (cbrt (* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3)))))) (cbrt (cbrt (+ 3.0 (+ d2 d3)))))
58.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
58.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
8.0ms	(cbrt (cbrt (+ 3.0 (+ d2 d3))))

series309.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* (* d1 (* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))) (cbrt (* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3)))))) (cbrt (cbrt (+ 3.0 (+ d2 d3)))))
90.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
91.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
98.0ms	(cbrt (cbrt (+ 3.0 (+ d2 d3))))

simplify152.0ms

Algorithm

egg-herbie

Counts

424 → 424

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1953	13895
1	5001	13708

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample490.0ms

Algorithm

intervals

Results

238.0ms	9568×	body	80	valid
20.0ms	227×	body	640	valid
13.0ms	87×	body	1280	valid
11.0ms	155×	body	320	valid
4.0ms	92×	body	160	valid