Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	285×	body	80	valid
7.0ms	290×	body	80	nan

simplify66.0ms

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

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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)))

rewrite78.0ms

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:

11.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
17.0ms	(+ (- 1.0 z) (log z))
47.0ms	(* y (+ (- 1.0 z) (log z)))

series305.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
176.0ms	(+ (- 1.0 z) (log z))
72.0ms	(* y (+ (- 1.0 z) (log z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (48.0ms)

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

prune214.0ms

Filtered

91 candidates to 66 candidates (72.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 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)) (* y (log z))))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* 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	(* y (- 1.0 z))
12.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
9.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series231.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* y (- 1.0 z))
63.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
95.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
41.0ms	(* y (log z))

simplify76.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (65.0ms)

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

prune349.0ms

Filtered

144 candidates to 93 candidates (64.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.3b	(* y (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`cbrt-prod` `log-prod`
9×	`pow1`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

20.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
5.0ms	(* y (log (cbrt z)))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series613.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
96.0ms	(* y (log (cbrt z)))
189.0ms	(cbrt z)
184.0ms	(cbrt z)

simplify40.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	271	531
1	1150	472
2	5001	441

prune358.0ms

Filtered

96 candidates to 79 candidates (82.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.3b	(* (* y 1/3) (log z))
0.4b	(* y 1/3)
0.6b	(cbrt z)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`pow1` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
10×	`associate-r`
9×	`associate-l`
6×	`log-prod`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `*-commutative`
2×	`associate-*l/` `unswap-sqr`
1×	`flip3--` `pow1/3` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

20.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
8.0ms	(* (* y 1/3) (log z))
3.0ms	(* y 1/3)
1.0ms	(cbrt z)

series390.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
43.0ms	(* (* y 1/3) (log z))
20.0ms	(* y 1/3)
181.0ms	(cbrt z)

simplify49.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	360	484
1	1731	417
2	5001	401

prune310.0ms

Filtered

96 candidates to 71 candidates (74.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes82.0ms

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	26	12
1	26	12

end0.0ms

sample951.0ms

Algorithm

intervals

Results

318.0ms	9205×	body	80	valid
255.0ms	9071×	body	80	nan