Details

sample112.0ms

Algorithm

intervals

Results

30.0ms	47×	body	1280	valid
22.0ms	57×	body	640	valid
9.0ms	101×	body	80	valid
8.0ms	32×	body	320	valid
5.0ms	91×	body	80	nan
5.0ms	3×	body	2560	valid
4.0ms	14×	body	640	nan
4.0ms	51×	body	80	overflowed
3.0ms	16×	body	160	valid
2.0ms	10×	body	320	nan
2.0ms	4×	body	1280	nan
1.0ms	4×	body	160	nan

simplify205.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	33	7
2	49	7
3	71	7
4	93	7
5	180	7
6	232	7
7	411	7
8	710	7
9	1092	7
10	1240	7
11	1558	7
12	4191	7
13	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.0b	(log (+ (- 1.0 y) (* y (exp z))))
3.1b	(+ (- 1.0 y) (* y (exp z)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* y (exp z))
21.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
8.0ms	(log (+ (- 1.0 y) (* y (exp z))))
12.0ms	(+ (- 1.0 y) (* y (exp z)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* y (exp z))
157.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
74.0ms	(log (+ (- 1.0 y) (* y (exp z))))
37.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5001	726

prune258.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (pow z 2))
0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
3.3b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.1b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`add-exp-log`
11×	`associate-r`
10×	`times-frac` `add-cbrt-cube`
6×	`pow1` `associate-l` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `associate-r/` `-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unpow2` `difference-of-squares` `sqr-pow`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 93

Calls

4 calls:

5.0ms	(* 0.5 (pow z 2))
10.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
10.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
10.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series352.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 0.5 (pow z 2))
121.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
85.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
122.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify63.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	460	952
1	1914	882
2	5002	882

prune312.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
3.9b	(/ (* z y) t)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`add-cube-cbrt`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `diff-log` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

30.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
3.0ms	(/ (* z y) t)

series106.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
19.0ms	(/ (* z y) t)

simplify83.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	204	286
1	812	256
2	3760	256
3	5001	256

prune121.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.4b

localize13.0ms

Local error

Found 4 expressions with local error:

3.9b	(/ (* z y) t)
20.0b	(cbrt (/ (* z y) t))
20.0b	(cbrt (/ (* z y) t))
20.0b	(cbrt (/ (* z y) t))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 69

Calls

4 calls:

3.0ms	(/ (* z y) t)
2.0ms	(cbrt (/ (* z y) t))
2.0ms	(cbrt (/ (* z y) t))
2.0ms	(cbrt (/ (* z y) t))

series265.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z y) t)
82.0ms	(cbrt (/ (* z y) t))
82.0ms	(cbrt (/ (* z y) t))
82.0ms	(cbrt (/ (* z y) t))

simplify72.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	181	439
1	697	391
2	3119	364
3	5003	361

prune284.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.4b

regimes426.0ms

Accuracy

64.2% (5.0b remaining)

Error of 8.7b against oracle of 3.7b and baseline of 17.5b

bsearch180.0ms

Steps

Iters	Range		Point
8	7.828017428086319e-118	4.340545787691401e-113	2.229337771929231e-115
7	-482.0998985786282	-14.579906112121636	-14.738053439146872

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	33
1	54	33

end0.0ms

sample3.2s

Algorithm

intervals

Results

981.0ms	1477×	body	1280	valid
591.0ms	1474×	body	640	valid
317.0ms	3572×	body	80	valid
253.0ms	961×	body	320	valid
150.0ms	2452×	body	80	nan
107.0ms	74×	body	2560	valid
104.0ms	1512×	body	80	overflowed
81.0ms	268×	body	640	nan
79.0ms	465×	body	160	valid
48.0ms	107×	body	1280	nan
46.0ms	210×	body	320	nan
16.0ms	103×	body	160	nan