Details

sample47.0ms

Algorithm

intervals

Results

18.0ms	296×	body	80	valid
12.0ms	296×	body	80	nan

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite62.0ms

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:

8.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
13.0ms	(+ (- 1.0 z) (log z))
39.0ms	(* y (+ (- 1.0 z) (log z)))

series293.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
159.0ms	(+ (- 1.0 z) (log z))
76.0ms	(* y (+ (- 1.0 z) (log z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (39.0ms)

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

prune156.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (+ (- 1.0 z) (log z))) (* x 0.5))
0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite72.0ms

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` `add-cbrt-cube`
4×	`associate-+l+` `log-pow` `distribute-lft-out--`
3×	`associate-+r+` `log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `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:

15.0ms	(+ (* y (+ (- 1.0 z) (log z))) (* x 0.5))
14.0ms	(+ (- 1.0 z) (log z))
42.0ms	(* y (+ (- 1.0 z) (log z)))

series307.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ (* y (+ (- 1.0 z) (log z))) (* x 0.5))
164.0ms	(+ (- 1.0 z) (log z))
76.0ms	(* y (+ (- 1.0 z) (log z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	351	422
1	1472	374
2	5001	373

prune158.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (log z) y) (* x 0.5))
0.0b	(* y (- 1.0 z))
0.1b	(+ (* y (- 1.0 z)) (+ (* (log z) y) (* x 0.5)))
0.3b	(* (log z) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

2.0ms	(+ (* (log z) y) (* x 0.5))
10.0ms	(* y (- 1.0 z))
10.0ms	(+ (* y (- 1.0 z)) (+ (* (log z) y) (* x 0.5)))
3.0ms	(* (log z) y)

series248.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(+ (* (log z) y) (* x 0.5))
32.0ms	(* y (- 1.0 z))
63.0ms	(+ (* y (- 1.0 z)) (+ (* (log z) y) (* x 0.5)))
63.0ms	(* (log z) y)

simplify68.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	478	615
1	2355	579
2	5002	565

prune219.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log z)) (cbrt (log z)))
0.5b	(cbrt (log z))
0.5b	(cbrt (log z))
0.5b	(cbrt (log z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (log z)) (cbrt (log z)))
1.0ms	(cbrt (log z))
1.0ms	(cbrt (log z))
1.0ms	(cbrt (log z))

series1.1s

Counts

4 → 12

Calls

4 calls:

271.0ms	(* (cbrt (log z)) (cbrt (log z)))
268.0ms	(cbrt (log z))
263.0ms	(cbrt (log z))
262.0ms	(cbrt (log z))

simplify84.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	121	487
1	430	416
2	2982	358
3	5001	351

prune216.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes200.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample1.4s

Algorithm

intervals

Results

587.0ms	9181×	body	80	valid
369.0ms	8912×	body	80	nan