Details

sample77.0ms

Algorithm

intervals

Results

41.0ms

653×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune4.0ms

Filtered

1 candidates to 0 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: 13.2b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* i a))
4.7b	(* x (- (* y z) (* t a)))
6.0b	(* b (- (* c z) (* i a)))
7.8b	(* j (- (* c t) (* i y)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
33×	`associate-r`
25×	`associate-l`
19×	`unswap-sqr`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`diff-log`

Counts

4 → 116

Calls

4 calls:

12.0ms	(- (* c z) (* i a))
16.0ms	(* x (- (* y z) (* t a)))
16.0ms	(* b (- (* c z) (* i a)))
19.0ms	(* j (- (* c t) (* i y)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* c z) (* i a))
69.0ms	(* x (- (* y z) (* t a)))
68.0ms	(* b (- (* c z) (* i a)))
70.0ms	(* j (- (* c t) (* i y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	537	696
1	2117	629
2	5001	629

prune398.0ms

Filtered

128 candidates to 80 candidates (37.5%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	104	24	128
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	24	129

Merged error: 8.7b

Counts

129 → 24

localize23.0ms

Local error

Found 4 expressions with local error:

4.7b	(* x (- (* y z) (* t a)))
4.8b	(* b (* c z))
6.6b	(* b (- (* i a)))
7.8b	(* j (- (* c t) (* i y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

71×	`associate-r`
61×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
29×	`associate-l`
20×	`add-cube-cbrt`
17×	`unswap-sqr`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`*-commutative`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `add-log-exp`
2×	`flip3--` `flip--`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 139

Calls

4 calls:

19.0ms	(* x (- (* y z) (* t a)))
8.0ms	(* b (* c z))
10.0ms	(* b (- (* i a)))
16.0ms	(* j (- (* c t) (* i y)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* x (- (* y z) (* t a)))
24.0ms	(* b (* c z))
24.0ms	(* b (- (* i a)))
71.0ms	(* j (- (* c t) (* i y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	659	656
1	3071	591
2	5001	591

prune526.0ms

Filtered

151 candidates to 101 candidates (33.1%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	129	22	151
Fresh	19	4	23
Picked	1	0	1
Done	0	0	0
Total	149	26	175

Merged error: 7.2b

Counts

175 → 26

localize31.0ms

Local error

Found 4 expressions with local error:

3.4b	(* (* b (- (* (cbrt i) (cbrt i)))) (* (cbrt i) a))
4.7b	(* x (- (* y z) (* t a)))
4.8b	(* b (* c z))
7.8b	(* j (- (* c t) (* i y)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

126×	`associate-r`
113×	`add-sqr-sqrt`
108×	`associate-l`
53×	`*-un-lft-identity`
38×	`cbrt-prod` `unswap-sqr`
37×	`add-cube-cbrt`
30×	`add-cbrt-cube`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
25×	`pow1` `add-exp-log`
18×	`cbrt-unprod`
13×	`pow-prod-down` `prod-exp`
12×	`swap-sqr`
9×	`*-commutative`
8×	`distribute-lft-out--` `difference-of-squares`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `add-log-exp`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-out` `neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 207

Calls

4 calls:

45.0ms	(* (* b (- (* (cbrt i) (cbrt i)))) (* (cbrt i) a))
17.0ms	(* x (- (* y z) (* t a)))
8.0ms	(* b (* c z))
16.0ms	(* j (- (* c t) (* i y)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* b (- (* (cbrt i) (cbrt i)))) (* (cbrt i) a))
69.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* b (* c z))
72.0ms	(* j (- (* c t) (* i y)))

simplify124.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	983	1515
1	4946	1287
2	5001	1287

prune858.0ms

Filtered

219 candidates to 153 candidates (30.1%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	213	6	219
Fresh	4	21	25
Picked	1	0	1
Done	0	0	0
Total	218	27	245

Merged error: 6.3b

Counts

245 → 27

localize26.0ms

Local error

Found 4 expressions with local error:

3.8b	(* (* b (cbrt i)) (* (- (cbrt i)) (* (cbrt i) a)))
4.7b	(* x (- (* y z) (* t a)))
4.8b	(* b (* c z))
7.8b	(* j (- (* c t) (* i y)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

124×	`add-sqr-sqrt`
102×	`associate-r`
61×	`associate-l`
58×	`unswap-sqr`
53×	`add-cbrt-cube`
42×	`*-un-lft-identity`
40×	`cbrt-unprod`
34×	`pow1` `add-exp-log`
26×	`add-cube-cbrt`
22×	`cbrt-prod`
20×	`pow-prod-down` `prod-exp`
8×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `add-log-exp`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-out` `neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 196

Calls

4 calls:

34.0ms	(* (* b (cbrt i)) (* (- (cbrt i)) (* (cbrt i) a)))
16.0ms	(* x (- (* y z) (* t a)))
8.0ms	(* b (* c z))
16.0ms	(* j (- (* c t) (* i y)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* b (cbrt i)) (* (- (cbrt i)) (* (cbrt i) a)))
69.0ms	(* x (- (* y z) (* t a)))
24.0ms	(* b (* c z))
70.0ms	(* j (- (* c t) (* i y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1110	1655
1	5002	1429

prune945.0ms

Filtered

208 candidates to 151 candidates (27.4%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	207	1	208
Fresh	1	25	26
Picked	0	1	1
Done	0	0	0
Total	208	27	235

Merged error: 6.3b

Counts

235 → 27

regimes1.4s

Accuracy

23.5% (5.0b remaining)

Error of 10.3b against oracle of 5.3b and baseline of 11.8b

bsearch115.0ms

Steps

Iters	Range		Point
8	2.3018138540721667e+76	1.5213837867796213e+79	2.3284894862105833e+76

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	39
1	100	39
2	106	39
3	110	39
4	110	39

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

19253×

body

valid