Details

sample35.0ms

Algorithm

intervals

Results

9.0ms	280×	body	80	valid
8.0ms	314×	body	80	nan

simplify67.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

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:

14.0ms	(+ (- 1.0 z) (log z))
9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
43.0ms	(* y (+ (- 1.0 z) (log z)))

series317.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(+ (- 1.0 z) (log z))
65.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
85.0ms	(* y (+ (- 1.0 z) (log z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	359	419
1	1515	371
2	5002	370

prune158.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(+ (* x 0.5) (* y (- 1.0 z)))
0.1b	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* (log z) y))
0.2b	(* (log z) y)

rewrite30.0ms

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`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `sum-log`
2×	`+-commutative` `flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`associate-+l+` `flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 73

Calls

4 calls:

10.0ms	(* y (- 1.0 z))
3.0ms	(+ (* x 0.5) (* y (- 1.0 z)))
11.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* (log z) y))
3.0ms	(* (log z) y)

series204.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* y (- 1.0 z))
45.0ms	(+ (* x 0.5) (* y (- 1.0 z)))
62.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* (log z) y))
62.0ms	(* (log z) y)

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	369	443
1	1760	411
2	5003	403

prune203.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))
0.5b	(cbrt (+ (- 1.0 z) (log z)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
93×	`cbrt-prod`
60×	`distribute-lft-out`
41×	`pow1`
30×	`swap-sqr` `log-pow` `distribute-lft-out--`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
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 → 131

Calls

4 calls:

79.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
9.0ms	(cbrt (+ (- 1.0 z) (log z)))
9.0ms	(cbrt (+ (- 1.0 z) (log z)))
9.0ms	(cbrt (+ (- 1.0 z) (log z)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (cbrt (+ (- 1.0 z) (log z))) (cbrt (+ (- 1.0 z) (log z))))
59.0ms	(cbrt (+ (- 1.0 z) (log z)))
64.0ms	(cbrt (+ (- 1.0 z) (log z)))
59.0ms	(cbrt (+ (- 1.0 z) (log z)))

simplify82.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	609	1962
1	2360	1884
2	5001	1654

prune383.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))
0.2b	(* y (+ (- 1.0 z) (log z)))
0.3b	(* (sqrt (* y (+ (- 1.0 z) (log z)))) (sqrt (* y (+ (- 1.0 z) (log z)))))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

64×	`pow1`
30×	`sqrt-pow1`
28×	`*-un-lft-identity`
23×	`pow-prod-down`
20×	`associate-*r/`
18×	`add-sqr-sqrt` `associate-r`
14×	`sqrt-div`
12×	`add-cube-cbrt`
11×	`pow1/2`
10×	`add-exp-log` `associate-l` `pow-prod-up` `add-cbrt-cube`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out`
6×	`pow-sqr`
5×	`sqrt-prod`
4×	`frac-times` `swap-sqr` `log-pow` `distribute-lft-out--` `add-log-exp`
3×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 122

Calls

4 calls:

12.0ms	(sqrt (* y (+ (- 1.0 z) (log z))))
40.0ms	(* y (+ (- 1.0 z) (log z)))
42.0ms	(* y (+ (- 1.0 z) (log z)))
83.0ms	(* (sqrt (* y (+ (- 1.0 z) (log z)))) (sqrt (* y (+ (- 1.0 z) (log z)))))

series996.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(sqrt (* y (+ (- 1.0 z) (log z))))
88.0ms	(* y (+ (- 1.0 z) (log z)))
88.0ms	(* y (+ (- 1.0 z) (log z)))
721.0ms	(* (sqrt (* y (+ (- 1.0 z) (log z)))) (sqrt (* y (+ (- 1.0 z) (log z)))))

simplify125.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	829	1140
1	3971	994
2	5001	964

prune334.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes186.0ms

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

sample956.0ms

Algorithm

intervals

Results

319.0ms	9157×	body	80	valid
250.0ms	9256×	body	80	nan