Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

276×

body

valid

simplify45.0ms

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: 1.4b

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))
2.1b	(* y (/ (- z t) (- a t)))

rewrite29.0ms

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))))
8.0ms	(/ (- z t) (- a t))
14.0ms	(* y (/ (- z t) (- a t)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (* y (/ (- z t) (- a t))))
44.0ms	(/ (- z t) (- a t))
62.0ms	(* y (/ (- z t) (- a t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

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

prune239.0ms

Filtered

122 candidates to 83 candidates (68.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	7	123

Merged error: 0.0b

Counts

123 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (- a t) (- z t)))
2.1b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

3.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
8.0ms	(/ (- a t) (- z t))
16.0ms	(/ 1 (/ (- a t) (- z t)))
30.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series510.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
67.0ms	(/ (- a t) (- z t))
139.0ms	(/ 1 (/ (- a t) (- z t)))
159.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify117.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	950	2838
1	4759	2549
2	5001	2263

prune555.0ms

Filtered

350 candidates to 185 candidates (52.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	348	2	350
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	350	7	357

Merged error: 0b

Counts

357 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
2.1b	(/ y (/ (- a t) (- z t)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

26.0ms	(+ x (/ y (/ (- a t) (- z t))))
8.0ms	(/ (- a t) (- z t))
12.0ms	(/ y (/ (- a t) (- z t)))

series304.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(+ x (/ y (/ (- a t) (- z t))))
50.0ms	(/ (- a t) (- z t))
146.0ms	(/ y (/ (- a t) (- z t)))

simplify82.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	697	1888
1	3051	1835
2	5002	1832

prune396.0ms

Filtered

215 candidates to 144 candidates (67.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	215	7	222

Merged error: 0b

Counts

222 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

2.1b	(* y (/ (- z t) (- a t)))
5.2b	(cbrt (* y (/ (- z t) (- a t))))
5.2b	(cbrt (* y (/ (- z t) (- a t))))
5.2b	(cbrt (* y (/ (- z t) (- a t))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
16×	`add-cube-cbrt`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-l`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv`

Counts

4 → 80

Calls

4 calls:

16.0ms	(* y (/ (- z t) (- a t)))
8.0ms	(cbrt (* y (/ (- z t) (- a t))))
8.0ms	(cbrt (* y (/ (- z t) (- a t))))
8.0ms	(cbrt (* y (/ (- z t) (- a t))))

series690.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* y (/ (- z t) (- a t)))
217.0ms	(cbrt (* y (/ (- z t) (- a t))))
204.0ms	(cbrt (* y (/ (- z t) (- a t))))
207.0ms	(cbrt (* y (/ (- z t) (- a t))))

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	335	608
1	1360	548
2	5002	542

prune254.0ms

Filtered

92 candidates to 70 candidates (76.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	92	7	99

Merged error: 0b

Counts

99 → 7

regimes209.0ms

Accuracy

46.6% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.3b

bsearch61.0ms

Steps

Iters	Range		Point
8	5.5314836320008005e-244	2.882106368821281e-240	1.7945065782995238e-242
6	-2416.012398067356	-167.5179046238358	-714.4565574834934

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	10
1	25	10

end0.0ms

sample509.0ms

Algorithm

intervals

Results

259.0ms	8729×	body	80	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