Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

278×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 1.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
7.0ms	(/ (- z t) (- a t))
13.0ms	(* y (/ (- z t) (- a t)))

series186.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (* y (/ (- z t) (- a t))))
47.0ms	(/ (- z t) (- a t))
65.0ms	(* y (/ (- z t) (- a t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	421	747
1	1657	704
2	5001	704

prune238.0ms

Filtered

122 candidates to 83 candidates (68.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	8	123

Merged error: 0b

Counts

123 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))

series602.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- a t))
148.0ms	(cbrt (- z t))
157.0ms	(cbrt (- z t))
147.0ms	(cbrt (- z t))

simplify156.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 4 (150.0ms)

Iter	Nodes	Cost
0	229	428
1	487	408
2	1319	396
3	4622	372
4	5001	364

prune246.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	72	8	80

Merged error: 0b

Counts

80 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
2.0b	(* y (* (- z t) (/ 1 (- a t))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

3.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
5.0ms	(/ 1 (- a t))
16.0ms	(* (- z t) (/ 1 (- a t)))
12.0ms	(* y (* (- z t) (/ 1 (- a t))))

series224.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
38.0ms	(/ 1 (- a t))
46.0ms	(* (- z t) (/ 1 (- a t)))
67.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify61.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	453	788
1	2003	679
2	5001	634

prune216.0ms

Filtered

142 candidates to 86 candidates (60.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	142	8	150

Merged error: 0b

Counts

150 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
3.5b	(cbrt (/ (- z t) (- a t)))
3.5b	(cbrt (/ (- z t) (- a t)))
3.5b	(cbrt (/ (- z t) (- a t)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

33.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
7.0ms	(cbrt (/ (- z t) (- a t)))
7.0ms	(cbrt (/ (- z t) (- a t)))
10.0ms	(cbrt (/ (- z t) (- a t)))

series1.2s

Counts

4 → 12

Calls

4 calls:

271.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
304.0ms	(cbrt (/ (- z t) (- a t)))
298.0ms	(cbrt (/ (- z t) (- a t)))
299.0ms	(cbrt (/ (- z t) (- a t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	544	3638
1	1748	3570
2	5001	3366

prune693.0ms

Filtered

288 candidates to 180 candidates (62.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	288	8	296

Merged error: 0b

Counts

296 → 8

regimes297.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19

end0.0ms

sample578.0ms

Algorithm

intervals

Results

315.0ms	8700×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	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