Details

sample22.0ms

Algorithm

intervals

Results

10.0ms	307×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	7×	body	320	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	160	valid

simplify8.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:

8.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify87.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	149	120
1	720	103
2	3972	103
3	5002	103

prune47.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Merged error: 0.0b

Counts

29 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 26

Calls

2 calls:

5.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
3.0ms	(+ (* d1 3.0) (* d1 d2))

series82.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
45.0ms	(+ (* d1 3.0) (* d1 d2))

simplify108.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	187	191
1	787	163
2	3595	151
3	5001	151

prune71.0ms

Filtered

32 candidates to 23 candidates (71.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

5.0ms	(cbrt (+ (+ 3.0 d2) d3))
5.0ms	(cbrt (+ (+ 3.0 d2) d3))
5.0ms	(cbrt (+ (+ 3.0 d2) d3))
15.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (+ (+ 3.0 d2) d3))
100.0ms	(cbrt (+ (+ 3.0 d2) d3))
100.0ms	(cbrt (+ (+ 3.0 d2) d3))
107.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

simplify141.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (124.0ms)

Iter	Nodes	Cost
0	304	1036
1	971	979
2	4404	875
3	5001	870

prune281.0ms

Filtered

117 candidates to 75 candidates (64.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	117	5	122

Merged error: 0b

Counts

122 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
0.6b	(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
2.4b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
21.2b	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

133×	`*-un-lft-identity`
128×	`cbrt-prod`
73×	`add-sqr-sqrt`
63×	`times-frac`
49×	`add-cube-cbrt`
32×	`distribute-lft-out`
20×	`difference-of-squares`
18×	`cbrt-div`
16×	`distribute-lft-out--`
14×	`swap-sqr`
11×	`pow1`
9×	`associate-/r*`
8×	`add-exp-log` `associate-r` `associate-l`
7×	`pow1/3` `associate-/l*`
6×	`flip3-+` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `add-cbrt-cube` `flip--` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `associate--l+` `associate-/r/` `pow-sqr` `pow-prod-up` `associate-/l/`
1×	`cbrt-undiv` `pow2` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-plus` `diff-log` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 184

Calls

4 calls:

15.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
21.0ms	(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
8.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
8.0ms	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
151.0ms	(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
42.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
117.0ms	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

simplify87.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	579	2692
1	2142	2610
2	5001	2481

prune557.0ms

Filtered

196 candidates to 127 candidates (64.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	196	5	201

Merged error: 0b

Counts

201 → 5

regimes86.0ms

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

sample488.0ms

Algorithm

intervals

Results

238.0ms	9592×	body	80	valid
22.0ms	216×	body	640	valid
13.0ms	148×	body	320	valid
10.0ms	84×	body	1280	valid
3.0ms	68×	body	160	valid