Details

sample103.0ms

Algorithm

intervals

Results

29.0ms	57×	body	1280	valid
23.0ms	47×	body	10240	exit
11.0ms	41×	body	640	valid
6.0ms	114×	body	80	valid
5.0ms	28×	body	320	valid
4.0ms	2×	body	2560	valid
3.0ms	91×	body	80	nan
2.0ms	15×	body	160	valid
1.0ms	8×	body	640	nan
1.0ms	8×	body	320	nan
0.0ms	2×	body	160	nan

simplify204.0ms

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: 26.0b

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	(+ (- 1.0 y) (* y (exp z)))
1.9b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite53.0ms

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))
24.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
13.0ms	(+ (- 1.0 y) (* y (exp z)))
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series296.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* y (exp z))
158.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
36.0ms	(+ (- 1.0 y) (* y (exp z)))
79.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify75.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (61.0ms)

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

prune271.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
2.4b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.1b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

10.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
11.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
13.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series322.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
84.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
116.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify48.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	376	855
1	1556	795
2	5001	795

prune257.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.2b	(/ (* z y) t)

rewrite37.0ms

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:

32.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.0ms	(/ (* z y) t)

series105.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
19.0ms	(/ (* z y) t)

simplify82.0ms

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

prune139.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
5.3b	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 92

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
0.0ms	(cbrt t)
24.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))

series613.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt t)
184.0ms	(cbrt t)
181.0ms	(cbrt t)
55.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ y (cbrt t)))

simplify56.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	420	720
1	2228	581
2	5001	542

prune351.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 4.3b

regimes596.0ms

Accuracy

64.3% (4.6b remaining)

Error of 8.0b against oracle of 3.4b and baseline of 16.3b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	29
1	36	29

end0.0ms

sample3.1s

Algorithm

intervals

Results

733.0ms	1403×	body	1280	valid
726.0ms	1505×	body	10240	exit
472.0ms	1633×	body	640	valid
210.0ms	3535×	body	80	valid
165.0ms	892×	body	320	valid
97.0ms	76×	body	2560	valid
92.0ms	2420×	body	80	nan
55.0ms	487×	body	160	valid
53.0ms	276×	body	640	nan
31.0ms	111×	body	1280	nan
25.0ms	192×	body	320	nan
12.0ms	119×	body	160	nan