Details

sample135.0ms

Algorithm

intervals

Results

35.0ms	50×	body	10240	exit
27.0ms	45×	body	1280	valid
20.0ms	54×	body	640	valid
12.0ms	114×	body	80	valid
7.0ms	28×	body	320	valid
6.0ms	95×	body	80	nan
2.0ms	14×	body	160	valid
2.0ms	1×	body	2560	valid
2.0ms	5×	body	1280	nan
1.0ms	4×	body	640	nan
1.0ms	4×	body	320	nan
0.0ms	2×	body	160	nan
0.0ms	3×	body	80	overflowed

simplify209.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.9b	(log (+ (- 1.0 y) (* y (exp z))))
2.1b	(+ (- 1.0 y) (* y (exp z)))

rewrite50.0ms

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:

4.0ms	(* y (exp z))
21.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
8.0ms	(log (+ (- 1.0 y) (* y (exp z))))
14.0ms	(+ (- 1.0 y) (* y (exp z)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* y (exp z))
146.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
71.0ms	(log (+ (- 1.0 y) (* y (exp z))))
33.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify59.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (51.0ms)

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

prune278.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.8b

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))
3.8b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
4.6b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite37.0ms

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))
9.0ms	(- 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)

series345.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 0.5 (pow z 2))
117.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
82.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
123.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify61.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (12.0ms)

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

prune342.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
3.8b	(/ (* z y) t)

rewrite33.0ms

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:

27.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
6.0ms	(/ (* z y) t)

series99.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
19.0ms	(/ (* z y) t)

simplify109.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (6.0ms)

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

prune163.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
0.5b	(/ 1 (/ t (* z y)))
3.9b	(/ t (* z y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

44.0ms	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
6.0ms	(/ 1 (/ t (* z y)))
3.0ms	(/ t (* z y))

series147.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
20.0ms	(/ 1 (/ t (* z y)))
19.0ms	(/ t (* z y))

simplify44.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	374	632
1	1604	546
2	5002	496

prune192.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.6b

regimes675.0ms

Accuracy

66.5% (4.3b remaining)

Error of 8.0b against oracle of 3.6b and baseline of 16.6b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	17
1	32	17

end0.0ms

sample4.1s

Algorithm

intervals

Results

951.0ms	1463×	body	10240	exit
914.0ms	1452×	body	1280	valid
611.0ms	1581×	body	640	valid
383.0ms	3463×	body	80	valid
250.0ms	946×	body	320	valid
173.0ms	2517×	body	80	nan
132.0ms	93×	body	2560	valid
87.0ms	486×	body	160	valid
77.0ms	278×	body	640	nan
40.0ms	196×	body	320	nan
36.0ms	97×	body	1280	nan
16.0ms	117×	body	160	nan
7.0ms	86×	body	80	overflowed