Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	291×	body	80	valid
7.0ms	265×	body	80	nan

simplify68.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

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

rewrite29.0ms

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:

5.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
8.0ms	(+ (- 1.0 z) (log z))
13.0ms	(* y (+ (- 1.0 z) (log z)))

series298.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
164.0ms	(+ (- 1.0 z) (log z))
78.0ms	(* y (+ (- 1.0 z) (log z)))

simplify59.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (47.0ms)

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

prune223.0ms

Filtered

91 candidates to 66 candidates (72.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	6	92

Merged error: 0b

Counts

92 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

2.0ms	(log (sqrt z))
9.0ms	(+ (- 1.0 z) (log (sqrt z)))
13.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
16.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

series304.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(log (sqrt z))
54.0ms	(+ (- 1.0 z) (log (sqrt z)))
75.0ms	(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
109.0ms	(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

simplify62.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	483	916
1	1976	774
2	5002	717

prune367.0ms

Filtered

146 candidates to 93 candidates (63.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	147	5	152

Merged error: 0b

Counts

152 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* 1 (fma y (- 1.0 z) (* (log z) y))))
0.1b	(fma y (- 1.0 z) (* (log z) y))
0.2b	(* (log z) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

4.0ms	(+ (* x 0.5) (* 1 (fma y (- 1.0 z) (* (log z) y))))
1.0ms	(fma y (- 1.0 z) (* (log z) y))
4.0ms	(* (log z) y)

series209.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (* x 0.5) (* 1 (fma y (- 1.0 z) (* (log z) y))))
89.0ms	(fma y (- 1.0 z) (* (log z) y))
64.0ms	(* (log z) y)

simplify138.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	300	339
1	1049	296
2	4982	279
3	5001	279

prune157.0ms

Filtered

56 candidates to 41 candidates (73.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	57	4	61

Merged error: 0b

Counts

61 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
18×	`cbrt-prod`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`pow1` `distribute-lft-out`
9×	`associate-+r+` `log-prod` `associate-r` `sqrt-prod`
6×	`add-exp-log` `log-pow` `add-cbrt-cube`
5×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-l`
2×	`flip3-+` `pow1/3` `associate-*r/` `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 → 90

Calls

4 calls:

14.0ms	(* y (+ (+ (fma 2 (log (cbrt (sqrt z))) (- 1.0 z)) (log (cbrt (sqrt z)))) (log (sqrt z))))
5.0ms	(+ (fma 2 (log (cbrt (sqrt z))) (- 1.0 z)) (log (cbrt (sqrt z))))
2.0ms	(cbrt (sqrt z))
2.0ms	(cbrt (sqrt z))

series1.2s

Counts

4 → 12

Calls

4 calls:

215.0ms	(* y (+ (+ (fma 2 (log (cbrt (sqrt z))) (- 1.0 z)) (log (cbrt (sqrt z)))) (log (sqrt z))))
676.0ms	(+ (fma 2 (log (cbrt (sqrt z))) (- 1.0 z)) (log (cbrt (sqrt z))))
143.0ms	(cbrt (sqrt z))
151.0ms	(cbrt (sqrt z))

simplify57.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	460	944
1	1791	868
2	5003	849

prune380.0ms

Filtered

102 candidates to 78 candidates (76.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	102	4	106

Merged error: 0b

Counts

106 → 4

regimes92.0ms

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	22	15
1	22	15

end0.0ms

sample964.0ms

Algorithm

intervals

Results

332.0ms	9144×	body	80	valid
254.0ms	9190×	body	80	nan