Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

288×

body

valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 3.6b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
3.5b	(* (/ (- x y) (- z y)) t)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

13.0ms	(/ (- x y) (- z y))
13.0ms	(* (/ (- x y) (- z y)) t)

series143.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- x y) (- z y))
97.0ms	(* (/ (- x y) (- z y)) t)

simplify103.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	369	669
1	1149	628
2	4661	627
3	5001	627

prune208.0ms

Filtered

112 candidates to 76 candidates (67.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	105	7	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	7	113

Merged error: 0.0b

Counts

113 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z y) (- x y))
0.3b	(/ 1 (/ (- z y) (- x y)))
3.5b	(* (/ 1 (/ (- z y) (- x y))) t)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-l`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-r` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `inv-pow`

Counts

3 → 332

Calls

3 calls:

8.0ms	(/ (- z y) (- x y))
17.0ms	(/ 1 (/ (- z y) (- x y)))
24.0ms	(* (/ 1 (/ (- z y) (- x y))) t)

series338.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- z y) (- x y))
131.0ms	(/ 1 (/ (- z y) (- x y)))
155.0ms	(* (/ 1 (/ (- z y) (- x y))) t)

simplify104.0ms

Algorithm

egg-herbie

Counts

341 → 341

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	885	2703
1	4214	2416
2	5001	2191

prune681.0ms

Filtered

341 candidates to 185 candidates (54.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	341	0	341
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	341	7	348

Merged error: 0.0b

Counts

348 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (* (cbrt (/ (- x y) (- z y))) t))
4.7b	(cbrt (/ (- x y) (- z y)))
4.7b	(cbrt (/ (- x y) (- z y)))
4.7b	(cbrt (/ (- x y) (- z y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
16×	`pow1` `add-exp-log`
15×	`cbrt-div`
10×	`add-cbrt-cube`
9×	`associate-*l/`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-/r/`
5×	`frac-times`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-*r/` `flip--` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 157

Calls

4 calls:

31.0ms	(* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (* (cbrt (/ (- x y) (- z y))) t))
7.0ms	(cbrt (/ (- x y) (- z y)))
10.0ms	(cbrt (/ (- x y) (- z y)))
7.0ms	(cbrt (/ (- x y) (- z y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y)))) (* (cbrt (/ (- x y) (- z y))) t))
299.0ms	(cbrt (/ (- x y) (- z y)))
308.0ms	(cbrt (/ (- x y) (- z y)))
297.0ms	(cbrt (/ (- x y) (- z y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	453	1905
1	1252	1709
2	5001	1633

prune433.0ms

Filtered

169 candidates to 119 candidates (70.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	168	1	169
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	168	8	176

Merged error: 0b

Counts

176 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

4.7b	(cbrt (/ (- x y) (- z y)))
4.7b	(cbrt (/ (- x y) (- z y)))
4.7b	(cbrt (/ (- x y) (- z y)))
4.7b	(cbrt (/ (- x y) (- z y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

128×	`add-sqr-sqrt` `*-un-lft-identity`
124×	`cbrt-prod`
100×	`times-frac`
48×	`add-cube-cbrt`
40×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cbrt-div` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 168

Calls

4 calls:

7.0ms	(cbrt (/ (- x y) (- z y)))
7.0ms	(cbrt (/ (- x y) (- z y)))
7.0ms	(cbrt (/ (- x y) (- z y)))
7.0ms	(cbrt (/ (- x y) (- z y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

306.0ms	(cbrt (/ (- x y) (- z y)))
307.0ms	(cbrt (/ (- x y) (- z y)))
297.0ms	(cbrt (/ (- x y) (- z y)))
310.0ms	(cbrt (/ (- x y) (- z y)))

simplify80.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	302	1812
1	657	1776
2	2236	1768
3	5002	1728

prune566.0ms

Filtered

180 candidates to 132 candidates (73.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	180	8	188

Merged error: 0b

Counts

188 → 8

regimes265.0ms

Accuracy

37.2% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	29
1	31	29

end0.0ms

sample496.0ms

Algorithm

intervals

Results

276.0ms

8712×

body

valid

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4

Iter	Nodes	Cost
0	17	4
1	25	4
2	49	4
3	78	4
4	116	4
5	141	4
6	162	4
7	175	4
8	183	4
9	187	4
10	191	4
11	302	4
12	340	4
13	366	4
14	464	4
15	533	4
16	615	4
17	721	4
18	815	4
19	824	4
20	824	4