Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

277×

body

valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

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: 1.5b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.0b	(* y (/ (- z t) (- a t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
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-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

8.0ms	(/ (- z t) (- a t))
13.0ms	(* y (/ (- z t) (- a t)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- z t) (- a t))
66.0ms	(* y (/ (- z t) (- a t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	349	647
1	1396	606
2	5001	606

prune202.0ms

Filtered

108 candidates to 71 candidates (65.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	6	109

Merged error: 0b

Counts

109 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (- a t) (- z t)))
2.0b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-r`
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×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 327

Calls

3 calls:

10.0ms	(/ (- a t) (- z t))
19.0ms	(/ 1 (/ (- a t) (- z t)))
31.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series325.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- a t) (- z t))
133.0ms	(/ 1 (/ (- a t) (- z t)))
145.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify107.0ms

Algorithm

egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	886	2724
1	4539	2439
2	5001	2153

prune590.0ms

Filtered

336 candidates to 174 candidates (51.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	334	2	336
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	338	4	342

Merged error: 0b

Counts

342 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.0b	(/ y (/ (- a t) (- z t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

8.0ms	(/ (- a t) (- z t))
15.0ms	(/ y (/ (- a t) (- z t)))

series195.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- a t) (- z t))
149.0ms	(/ y (/ (- a t) (- z t)))

simplify75.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	633	1784
1	2862	1733
2	5001	1730

prune410.0ms

Filtered

200 candidates to 134 candidates (67.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	200	4	204

Merged error: 0b

Counts

204 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
11.3b	(* (/ y (- a t)) (- z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 87

Calls

2 calls:

5.0ms	(/ y (- a t))
14.0ms	(* (/ y (- a t)) (- z t))

series192.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ y (- a t))
157.0ms	(* (/ y (- a t)) (- z t))

simplify39.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	340	501
1	1399	463
2	5001	463

prune155.0ms

Filtered

93 candidates to 66 candidates (71.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0b

Counts

97 → 4

regimes172.0ms

Accuracy

-34.2% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.4b

bsearch75.0ms

Steps

Iters	Range		Point
10	3.942126246748409e-110	2.991205587829519e-95	3.4166986187621397e-99
6	-7.309844064450707e-163	-5.430966296732814e-164	-2.2035163990877547e-163

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	16
1	31	16

end0.0ms

sample549.0ms

Algorithm

intervals

Results

286.0ms	8741×	body	80	valid
0.0ms	3×	body	320	valid

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5