Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

280×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 2.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

8.0ms	(/ (- z t) (- a t))
1.0ms	(fma y (/ (- z t) (- a t)) x)

series119.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- z t) (- a t))
72.0ms	(fma y (/ (- z t) (- a t)) x)

simplify60.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	258	433
1	707	410
2	2404	410
3	5003	410

prune166.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	61	9	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	10	71

Merged error: 0.7b

Counts

71 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.7b	(/ 1 (/ (- a t) (- z t)))
2.0b	(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

8.0ms	(/ (- a t) (- z t))
15.0ms	(/ 1 (/ (- a t) (- z t)))
1.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

series356.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- a t) (- z t))
132.0ms	(/ 1 (/ (- a t) (- z t)))
176.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	620	1891
1	2762	1708
2	5002	1537

prune299.0ms

Filtered

223 candidates to 106 candidates (47.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	221	2	223
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	225	8	233

Merged error: 0.7b

Counts

233 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ y (/ (- a t) (- z t))) x)
0.0b	(/ (- a t) (- z t))
3.1b	(/ y (/ (- a t) (- z t)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

386×	`times-frac`
322×	`*-un-lft-identity`
320×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
98×	`fma-def`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 310

Calls

3 calls:

39.0ms	(+ (/ y (/ (- a t) (- z t))) x)
8.0ms	(/ (- a t) (- z t))
11.0ms	(/ y (/ (- a t) (- z t)))

series378.0ms

Counts

3 → 9

Calls

3 calls:

192.0ms	(+ (/ y (/ (- a t) (- z t))) x)
44.0ms	(/ (- a t) (- z t))
141.0ms	(/ y (/ (- a t) (- z t)))

simplify80.0ms

Algorithm

egg-herbie

Counts

319 → 319

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	711	1921
1	3085	1862
2	5001	1858

prune623.0ms

Filtered

319 candidates to 223 candidates (69.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	316	3	319
Fresh	6	0	6
Picked	0	1	1
Done	0	1	1
Total	322	5	327

Merged error: 0b

Counts

327 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1 (/ (/ (- a t) (- z t)) y)) x)
0.0b	(/ (- a t) (- z t))
0.4b	(/ 1 (/ (/ (- a t) (- z t)) y))
3.0b	(/ (/ (- a t) (- z t)) y)

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

1976×	`times-frac`
1270×	`*-un-lft-identity`
1267×	`add-sqr-sqrt`
743×	`add-cube-cbrt`
296×	`fma-def`
262×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
54×	`associate-/r/`
39×	`associate-/l*`
37×	`div-inv`
32×	`add-exp-log`
27×	`flip3--` `flip--`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 928

Calls

4 calls:

103.0ms	(+ (/ 1 (/ (/ (- a t) (- z t)) y)) x)
8.0ms	(/ (- a t) (- z t))
27.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
13.0ms	(/ (/ (- a t) (- z t)) y)

series494.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(+ (/ 1 (/ (/ (- a t) (- z t)) y)) x)
44.0ms	(/ (- a t) (- z t))
162.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
87.0ms	(/ (/ (- a t) (- z t)) y)

simplify115.0ms

Algorithm

egg-herbie

Counts

940 → 940

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1840	7539
1	5002	6323

prune1.6s

Filtered

940 candidates to 513 candidates (54.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	940	0	940
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	940	5	945

Merged error: 0b

Counts

945 → 5

regimes181.0ms

Accuracy

28.8% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.4b

bsearch82.0ms

Steps

Iters	Range		Point
9	6.056511580473963e-105	2.513454972484143e-99	1.7883278228757425e-99
8	-1.7279404347794328e+40	-3.1399871291003827e+37	-3.1778304487720257e+37

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	14
1	24	14

end0.0ms

sample601.0ms

Algorithm

intervals

Results

332.0ms	8735×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid