Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

282×

body

valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	4
1	44	4
2	82	4
3	132	4
4	175	4
5	208	4
6	221	4
7	221	4

prune8.0ms

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: 6.1b

Counts

2 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
6.0b	(/ x (/ (* z (- y t)) 2.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
4×	`pow1`
3×	`associate-l` `associate-/l*`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 74

Calls

2 calls:

10.0ms	(* z (- y t))
16.0ms	(/ x (/ (* z (- y t)) 2.0))

series90.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* z (- y t))
52.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	353	467
1	1535	417
2	5001	414

prune160.0ms

Filtered

80 candidates to 57 candidates (71.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	76	6	82

Merged error: 0.0b

Counts

82 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (- y t))
0.2b	(/ (/ 2.0 (- y t)) z)
5.8b	(* x (/ (/ 2.0 (- y t)) z))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
180×	`add-sqr-sqrt`
171×	`*-un-lft-identity`
121×	`add-cube-cbrt`
67×	`associate-r`
25×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r/`
10×	`div-inv`
8×	`flip3--` `associate-/r*` `flip--`
7×	`cbrt-undiv` `div-exp`
5×	`pow1`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 228

Calls

3 calls:

5.0ms	(/ 2.0 (- y t))
9.0ms	(/ (/ 2.0 (- y t)) z)
21.0ms	(* x (/ (/ 2.0 (- y t)) z))

series189.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ 2.0 (- y t))
68.0ms	(/ (/ 2.0 (- y t)) z)
75.0ms	(* x (/ (/ 2.0 (- y t)) z))

simplify85.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	742	1638
1	3418	1557
2	5001	1557

prune561.0ms

Filtered

237 candidates to 177 candidates (74.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	233	4	237
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	234	9	243

Merged error: 0b

Counts

243 → 9

localize6.0ms

Local error

Found 1 expressions with local error:

5.7b	(/ (/ x z) (/ (- y t) 2.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

637×	`times-frac`
351×	`add-sqr-sqrt` `*-un-lft-identity`
267×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
35×	`div-inv`
19×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `associate-/l/` `add-log-exp`

Counts

1 → 299

Calls

1 calls:

14.0ms

(/ (/ x z) (/ (- y t) 2.0))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(/ (/ x z) (/ (- y t) 2.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1564	3639
1	5001	3548

prune731.0ms

Filtered

302 candidates to 217 candidates (71.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	298	4	302
Fresh	5	2	7
Picked	1	0	1
Done	1	0	1
Total	305	6	311

Merged error: 0b

Counts

311 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (/ (/ x z) (- y t)) (/ 1 2.0))
5.7b	(/ (/ x z) (- y t))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

3230×	`times-frac`
1640×	`add-sqr-sqrt` `*-un-lft-identity`
1248×	`add-cube-cbrt`
196×	`distribute-lft-out--` `difference-of-squares`
164×	`div-inv`
84×	`associate-/l*`
46×	`add-exp-log`
33×	`div-exp`
31×	`associate-/r/`
28×	`add-cbrt-cube`
18×	`cbrt-undiv` `associate-/r*`
15×	`flip3--` `flip--`
3×	`rec-exp` `1-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

2 → 1137

Calls

2 calls:

37.0ms	(/ (/ (/ x z) (- y t)) (/ 1 2.0))
8.0ms	(/ (/ x z) (- y t))

series90.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (/ (/ x z) (- y t)) (/ 1 2.0))
46.0ms	(/ (/ x z) (- y t))

simplify238.0ms

Algorithm

egg-herbie

Counts

1143 → 1143

Iterations

Useful iterations: 1 (78.0ms)

Iter	Nodes	Cost
0	4854	16953
1	5001	16262

prune2.3s

Filtered

1143 candidates to 587 candidates (51.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	1143	0	1143
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	1143	6	1149

Merged error: 0b

Counts

1149 → 6

regimes168.0ms

Accuracy

55.9% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 6.0b

bsearch71.0ms

Steps

Iters	Range		Point
8	1.9643604573599217e-63	2.0522646471221353e-60	3.861992641392967e-62
7	-3.857969354615995e+95	-3.277729253430659e+93	-6.501064448897589e+94

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	10
1	29	10

end0.0ms

sample468.0ms

Algorithm

intervals

Results

259.0ms

8709×

body

valid