Details

sample53.0ms

Algorithm

intervals

Results

19.0ms	294×	body	80	valid
16.0ms	341×	body	80	nan

simplify69.0ms

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

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)))

rewrite70.0ms

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:

9.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
17.0ms	(+ (- 1.0 z) (log z))
40.0ms	(* y (+ (- 1.0 z) (log z)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
172.0ms	(+ (- 1.0 z) (log z))
71.0ms	(* y (+ (- 1.0 z) (log z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (49.0ms)

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

prune230.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

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

rewrite346.0ms

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:

47.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
84.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
20.0ms	(+ (- 1.0 z) (log (sqrt z)))
190.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

series334.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+ (* x 0.5) (* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))))
74.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
55.0ms	(+ (- 1.0 z) (log (sqrt z)))
110.0ms	(* 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

prune366.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 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)))
0.2b	(* y (log z))

rewrite42.0ms

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:

12.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
12.0ms	(* y (- 1.0 z))
9.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series237.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
34.0ms	(* y (- 1.0 z))
95.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
43.0ms	(* y (log z))

simplify77.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (66.0ms)

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

prune361.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
0.2b	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`cbrt-prod`
8×	`pow1`
6×	`add-exp-log` `associate-+r+` `log-prod` `add-cbrt-cube`
5×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out`
3×	`fma-def` `associate-l`
2×	`flip3-+` `pow1/3` `associate-*r/` `log-pow` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

12.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
4.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

261.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
654.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
187.0ms	(cbrt z)
182.0ms	(cbrt z)

simplify42.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	290	621
1	1166	547
2	5001	502

prune506.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes89.0ms

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	17	7
1	17	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

571.0ms	9157×	body	80	valid
436.0ms	8931×	body	80	nan