Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

347×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	69	4
3	148	4
4	238	4
5	364	4
6	518	4
7	638	4
8	740	4
9	813	4
10	842	4
11	842	4

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: 8.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
8.8b	(/ (* y (- z t)) a)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

4.0ms	(- x (/ (* y (- z t)) a))
6.0ms	(* y (- z t))
7.0ms	(/ (* y (- z t)) a)

series145.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- x (/ (* y (- z t)) a))
37.0ms	(* y (- z t))
54.0ms	(/ (* y (- z t)) a)

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	291	345
1	1204	306
2	5001	306

prune148.0ms

Filtered

72 candidates to 47 candidates (65.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
4.9b	(/ y (/ a (- z t)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
112×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
19×	`difference-of-squares`
17×	`distribute-lft-out--`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log`

Counts

3 → 155

Calls

3 calls:

25.0ms	(- x (/ y (/ a (- z t))))
6.0ms	(/ a (- z t))
9.0ms	(/ y (/ a (- z t)))

series147.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- x (/ y (/ a (- z t))))
31.0ms	(/ a (- z t))
63.0ms	(/ y (/ a (- z t)))

simplify73.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	551	1200
1	2371	1160
2	5001	1157

prune375.0ms

Filtered

164 candidates to 122 candidates (74.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	3	3	6
Picked	0	1	1
Done	1	0	1
Total	166	6	172

Merged error: 0b

Counts

172 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ y a) (/ 1 (- z t))))
0.0b	(/ 1 (- z t))
7.8b	(/ (/ y a) (/ 1 (- z t)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

709×	`times-frac`
410×	`add-sqr-sqrt`
389×	`*-un-lft-identity`
293×	`add-cube-cbrt`
53×	`difference-of-squares`
47×	`distribute-lft-out--`
38×	`div-inv`
31×	`associate-/r/`
29×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`flip3--` `flip--` `associate-/l*`
9×	`cbrt-undiv`
5×	`add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `associate-/l/` `inv-pow`

Counts

3 → 392

Calls

3 calls:

70.0ms	(- x (/ (/ y a) (/ 1 (- z t))))
6.0ms	(/ 1 (- z t))
19.0ms	(/ (/ y a) (/ 1 (- z t)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- x (/ (/ y a) (/ 1 (- z t))))
36.0ms	(/ 1 (- z t))
63.0ms	(/ (/ y a) (/ 1 (- z t)))

simplify84.0ms

Algorithm

egg-herbie

Counts

401 → 401

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1735	4403
1	5001	4018

prune736.0ms

Filtered

401 candidates to 221 candidates (55.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	401	0	401
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	401	6	407

Merged error: 0b

Counts

407 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* y (/ (- z t) a)))
0.0b	(/ (- z t) a)
5.2b	(* y (/ (- z t) a))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

3 → 88

Calls

3 calls:

3.0ms	(- x (* y (/ (- z t) a)))
6.0ms	(/ (- z t) a)
10.0ms	(* y (/ (- z t) a))

series141.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- x (* y (/ (- z t) a)))
29.0ms	(/ (- z t) a)
56.0ms	(* y (/ (- z t) a))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	336	506
1	1388	473
2	5001	461

prune184.0ms

Filtered

97 candidates to 66 candidates (68.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	97	6	103

Merged error: 0b

Counts

103 → 6

regimes263.0ms

Accuracy

69% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.6b

bsearch109.0ms

Steps

Iters	Range		Point
10	3.443827461722442e-74	3.328521043133734e-63	3.285289901381684e-63
10	-71914824.75180596	-1.9027306785960326e-05	-2424.503126146885

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	9
1	27	9

end0.0ms

sample640.0ms

Algorithm

intervals

Results

310.0ms

10711×

body

valid