Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

273×

body

valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	46	4
2	88	4
3	138	4
4	188	4
5	236	4
6	260	4
7	263	4
8	263	4

prune6.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
6.1b	(/ x (/ (* z (- y t)) 2.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
33×	`times-frac`
32×	`add-cube-cbrt`
18×	`prod-diff`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
4×	`pow1`
3×	`associate-l` `associate-/l*`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 96

Calls

2 calls:

7.0ms	(* z (- y t))
7.0ms	(/ x (/ (* z (- y t)) 2.0))

series79.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* z (- y t))
45.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	433	735
1	1861	559
2	5001	556

prune169.0ms

Filtered

102 candidates to 63 candidates (61.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	95	7	102
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	96	8	104

Merged error: 0b

Counts

104 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
4.4b	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

243×	`times-frac`
184×	`add-sqr-sqrt`
157×	`*-un-lft-identity`
112×	`add-cube-cbrt`
62×	`associate-r`
46×	`add-exp-log`
28×	`add-cbrt-cube`
21×	`div-exp` `distribute-lft-out--` `difference-of-squares`
19×	`associate-/r*`
13×	`associate-l`
12×	`cbrt-undiv` `prod-exp`
10×	`div-inv`
9×	`unswap-sqr`
6×	`cbrt-unprod`
4×	`pow1`
3×	`rec-exp` `1-exp` `associate-/l*`
2×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 212

Calls

2 calls:

8.0ms	(/ x (/ (- y t) 2.0))
31.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ x (/ (- y t) 2.0))
44.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify102.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	919	1696
1	4284	1528
2	5001	1521

prune401.0ms

Filtered

218 candidates to 154 candidates (70.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	216	2	218
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	219	7	226

Merged error: 0b

Counts

226 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
4.4b	(/ (/ x (/ (- y t) 2.0)) z)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

711×	`times-frac`
405×	`add-sqr-sqrt` `*-un-lft-identity`
309×	`add-cube-cbrt`
65×	`associate-/l*`
48×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*` `div-inv`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 366

Calls

2 calls:

9.0ms	(/ x (/ (- y t) 2.0))
18.0ms	(/ (/ x (/ (- y t) 2.0)) z)

series104.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ x (/ (- y t) 2.0))
69.0ms	(/ (/ x (/ (- y t) 2.0)) z)

simplify69.0ms

Algorithm

egg-herbie

Counts

372 → 372

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1363	3876
1	5001	3759

prune779.0ms

Filtered

372 candidates to 287 candidates (77.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	371	1	372
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	372	7	379

Merged error: 0b

Counts

379 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ z x) 2.0)
0.0b	(/ 1 (- y t))
5.8b	(/ (/ 1 (- y t)) (/ (/ z x) 2.0))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

3105×	`times-frac`
1493×	`add-sqr-sqrt` `*-un-lft-identity`
1221×	`add-cube-cbrt`
139×	`div-inv`
136×	`distribute-lft-out--` `difference-of-squares`
91×	`associate-/r/`
51×	`add-exp-log` `associate-/r*`
45×	`flip3--` `flip--`
37×	`associate-/l*`
35×	`div-exp`
31×	`add-cbrt-cube`
19×	`cbrt-undiv`
4×	`pow1` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

3 → 1114

Calls

3 calls:

6.0ms	(/ (/ z x) 2.0)
5.0ms	(/ 1 (- y t))
36.0ms	(/ (/ 1 (- y t)) (/ (/ z x) 2.0))

series169.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (/ z x) 2.0)
33.0ms	(/ 1 (- y t))
117.0ms	(/ (/ 1 (- y t)) (/ (/ z x) 2.0))

simplify184.0ms

Algorithm

egg-herbie

Counts

1123 → 1123

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5001	16617

prune2.5s

Filtered

1123 candidates to 795 candidates (70.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1123	0	1123
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	1123	7	1130

Merged error: 0b

Counts

1130 → 7

regimes272.0ms

Accuracy

76.8% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 5.3b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	15
1	26	15

end0.0ms

sample479.0ms

Algorithm

intervals

Results

259.0ms

8747×

body

valid