Details

sample36.0ms

Algorithm

intervals

Results

10.0ms	297×	body	80	valid
6.0ms	249×	body	80	nan

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	6
1	51	6
2	104	6
3	191	6
4	262	6
5	353	6
6	466	6
7	712	6
8	1110	6
9	1256	6
10	1257	6
11	1257	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

21.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
27.0ms	(+ (- 1.0 z) (log z))
77.0ms	(* y (+ (- 1.0 z) (log z)))

series315.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
171.0ms	(+ (- 1.0 z) (log z))
82.0ms	(* y (+ (- 1.0 z) (log z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5001	370

prune149.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))) (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))))
0.6b	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
0.6b	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
0.6b	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

41.0ms	(* (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))) (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))))
5.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
8.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
5.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))

series3.1s

Counts

4 → 12

Calls

4 calls:

1.0s	(* (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))) (cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))))
591.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
829.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))
627.0ms	(cbrt (+ (* x 0.5) (* y (+ (- 1.0 z) (log z)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	398	1778
1	1580	1671
2	5002	1566

prune311.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
0.5b	(* (log z) (log z))
3.4b	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
7.6b	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
23×	`pow1`
18×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
12×	`log-prod` `associate--l+` `distribute-lft-out--`
10×	`log-pow`
9×	`sub-neg`
8×	`times-frac` `associate-r` `associate-/r*`
7×	`associate-l`
6×	`swap-sqr` `associate--r+` `add-log-exp`
4×	`flip3--` `associate-*r/` `flip--` `difference-of-squares`
3×	`prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 127

Calls

4 calls:

26.0ms	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
9.0ms	(* (log z) (log z))
77.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
86.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series490.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
152.0ms	(* (log z) (log z))
85.0ms	(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
215.0ms	(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify98.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	664	1400
1	3215	1209
2	5001	1201

prune314.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
0.2b	(/ y (/ (- (- 1.0 z) (log z)) (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))))
0.5b	(* (log z) (log z))
8.7b	(/ (- (- 1.0 z) (log z)) (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

287×	`*-un-lft-identity`
274×	`times-frac`
161×	`add-sqr-sqrt`
126×	`distribute-lft-out--`
117×	`add-cube-cbrt`
63×	`difference-of-squares`
59×	`pow1`
48×	`log-pow`
42×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
12×	`log-prod`
11×	`associate-/r/` `associate-/l*`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`flip3--` `flip--`
6×	`swap-sqr` `div-inv` `associate--r+` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `associate--l+`
3×	`sub-neg`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow2` `pow-plus` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 290

Calls

4 calls:

27.0ms	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
83.0ms	(/ y (/ (- (- 1.0 z) (log z)) (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))))
10.0ms	(* (log z) (log z))
101.0ms	(/ (- (- 1.0 z) (log z)) (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))

series481.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))
211.0ms	(/ y (/ (- (- 1.0 z) (log z)) (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))))
153.0ms	(* (log z) (log z))
80.0ms	(/ (- (- 1.0 z) (log z)) (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))

simplify76.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1139	5101
1	5001	4850

prune651.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes194.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

306.0ms	9198×	body	80	valid
230.0ms	9213×	body	80	nan