Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	308×	body	80	valid
7.0ms	280×	body	80	nan

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	5
1	57	5
2	121	5
3	241	5
4	364	5
5	490	5
6	641	5
7	1023	5
8	1797	5
9	2155	5
10	2161	5
11	2161	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
11×	`associate-+l+`
9×	`pow1` `prod-diff`
8×	`distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`fma-def`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube` `distribute-lft-out--`
4×	`log-pow`
3×	`expm1-log1p-u` `log-prod` `flip3-+` `associate-l` `sum-log` `flip-+` `log1p-expm1-u`
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` `difference-of-squares` `unswap-sqr`

Counts

3 → 82

Calls

3 calls:

16.0ms	(+ (- 1.0 z) (log z))
9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
39.0ms	(* y (+ (- 1.0 z) (log z)))

series294.0ms

Counts

3 → 9

Calls

3 calls:

160.0ms	(+ (- 1.0 z) (log z))
60.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
73.0ms	(* y (+ (- 1.0 z) (log z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	410	523
1	1823	431
2	5001	425

prune218.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
44×	`distribute-lft-out`
28×	`pow1`
22×	`add-sqr-sqrt` `log-pow`
18×	`add-cube-cbrt`
14×	`associate-+r+`
13×	`fma-def` `associate-r` `distribute-lft-out--` `add-log-exp`
12×	`associate-+l+` `log-prod`
9×	`prod-diff`
8×	`sum-log`
6×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`+-commutative` `associate-+l-` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-*r/`
1×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

46.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
18.0ms	(+ (- 1.0 z) (log (sqrt z)))
82.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
186.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

series337.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
55.0ms	(+ (- 1.0 z) (log (sqrt z)))
74.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
109.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

simplify74.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	560	1065
1	2358	874
2	5002	815

prune365.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt` `prod-diff`
28×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+l+`
12×	`log-prod`
11×	`add-log-exp`
9×	`pow1` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-+r+`
6×	`associate-l`
4×	`expm1-log1p-u` `sub-neg` `sum-log` `log1p-expm1-u`
2×	`+-commutative` `fma-def` `flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `log-pow` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 132

Calls

4 calls:

11.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
11.0ms	(* y (- 1.0 z))
9.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series239.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
33.0ms	(* y (- 1.0 z))
97.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
43.0ms	(* y (log z))

simplify78.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	573	974
1	2497	728
2	5003	716

prune354.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`associate-+r+`
15×	`sqrt-prod`
14×	`pow1` `distribute-rgt-in` `distribute-lft-in`
13×	`associate-+l+` `associate-r`
9×	`prod-diff` `distribute-lft-out` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`log-pow`
6×	`fma-def` `associate-l`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3-+` `sum-log` `flip-+`
2×	`+-commutative` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`associate-+l-` `sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `difference-of-squares`

Counts

4 → 133

Calls

4 calls:

18.0ms	(+ (- 1.0 z) (log (sqrt z)))
17.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
46.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
6.0ms	(* y (log (sqrt z)))

series368.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (- 1.0 z) (log (sqrt z)))
119.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
95.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
92.0ms	(* y (log (sqrt z)))

simplify75.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	571	1030
1	2411	898
2	5001	844

prune387.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes116.0ms

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	18	10
1	18	10

end0.0ms

sample975.0ms

Algorithm

intervals

Results

335.0ms	9193×	body	80	valid
254.0ms	9327×	body	80	nan