Details

sample80.0ms

Algorithm

intervals

Results

41.0ms

653×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize20.0ms

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)))

rewrite70.0ms

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:

13.0ms	(- (* c z) (* i a))
17.0ms	(* x (- (* y z) (* t a)))
17.0ms	(* b (- (* c z) (* i a)))
19.0ms	(* j (- (* c t) (* i y)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* c z) (* i a))
70.0ms	(* x (- (* y z) (* t a)))
69.0ms	(* b (- (* c z) (* i a)))
71.0ms	(* j (- (* c t) (* i y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (15.0ms)

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

prune410.0ms

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

localize22.0ms

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)))

rewrite59.0ms

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)))
17.0ms	(* j (- (* c t) (* i y)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* b (* c z))
28.0ms	(* b (- (* i a)))
68.0ms	(* j (- (* c t) (* i y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (20.0ms)

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

prune521.0ms

Filtered

151 candidates to 101 candidates (33.1%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	136	15	151
Fresh	12	11	23
Picked	1	0	1
Done	0	0	0
Total	149	26	175

Merged error: 7.2b

Counts

175 → 26

localize26.0ms

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)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

138×	`add-sqr-sqrt`
112×	`associate-r`
85×	`associate-l`
58×	`unswap-sqr`
48×	`*-un-lft-identity`
36×	`cbrt-prod`
32×	`add-cube-cbrt`
30×	`add-cbrt-cube`
22×	`pow1` `add-exp-log`
20×	`cbrt-unprod`
16×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
11×	`pow-prod-down` `prod-exp` `*-commutative`
10×	`swap-sqr`
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×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 206

Calls

4 calls:

48.0ms	(* (* b (* (cbrt i) (cbrt i))) (- (* (cbrt i) a)))
17.0ms	(* x (- (* y z) (* t a)))
8.0ms	(* b (* c z))
20.0ms	(* j (- (* c t) (* i y)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* b (* (cbrt i) (cbrt i))) (- (* (cbrt i) a)))
72.0ms	(* x (- (* y z) (* t a)))
26.0ms	(* b (* c z))
74.0ms	(* j (- (* c t) (* i y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1054	1582
1	5002	1434

prune871.0ms

Filtered

218 candidates to 149 candidates (31.7%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	213	5	218
Fresh	5	20	25
Picked	1	0	1
Done	0	0	0
Total	219	25	244

Merged error: 6.3b

Counts

244 → 25

localize31.0ms

Local error

Found 4 expressions with local error:

4.2b	(* b (* (pow (cbrt i) 3) (* (cbrt a) (cbrt a))))
4.7b	(* x (- (* y z) (* t a)))
4.8b	(* b (* c z))
7.8b	(* j (- (* c t) (* i y)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

265×	`add-sqr-sqrt`
159×	`unswap-sqr`
149×	`associate-r`
85×	`cbrt-prod`
42×	`unpow-prod-down` `*-un-lft-identity`
40×	`associate-l`
34×	`add-exp-log`
30×	`add-cbrt-cube`
26×	`add-cube-cbrt`
22×	`pow1` `swap-sqr`
21×	`prod-exp`
20×	`cbrt-unprod`
19×	`sqr-pow`
15×	`*-commutative`
11×	`pow-prod-down`
8×	`distribute-lft-out--` `difference-of-squares`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `add-log-exp`
2×	`pow-to-exp` `flip3--` `pow-exp` `flip--`
1×	`unpow3`

Counts

4 → 238

Calls

4 calls:

41.0ms	(* b (* (pow (cbrt i) 3) (* (cbrt a) (cbrt a))))
22.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* b (* c z))
17.0ms	(* j (- (* c t) (* i y)))

series347.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* b (* (pow (cbrt i) 3) (* (cbrt a) (cbrt a))))
73.0ms	(* x (- (* y z) (* t a)))
33.0ms	(* b (* c z))
79.0ms	(* j (- (* c t) (* i y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

250 → 250

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1143	1775
1	5001	1621

prune1.2s

Filtered

250 candidates to 146 candidates (41.6%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	247	3	250
Fresh	1	23	24
Picked	1	0	1
Done	0	0	0
Total	249	26	275

Merged error: 6.3b

Counts

275 → 26

regimes1.6s

Accuracy

22.9% (5.0b remaining)

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

bsearch117.0ms

Steps

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

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	39
1	99	39
2	107	39
3	109	39
4	109	39

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s

19253×

body

valid