Details

sample37.0ms

Algorithm

intervals

Results

10.0ms	294×	body	80	valid
7.0ms	263×	body	80	nan

simplify67.0ms

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

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	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	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
33×	`associate-+l+`
31×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `prod-diff`
16×	`distribute-rgt-in` `distribute-lft-in`
11×	`add-log-exp`
9×	`pow1` `associate-+r+` `log-prod`
8×	`distribute-lft-out`
7×	`associate-r`
5×	`add-exp-log` `fma-def` `add-cbrt-cube` `distribute-lft-out--`
4×	`sum-log` `log-pow`
3×	`+-commutative` `expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
2×	`flip3-+` `diff-log` `associate-*r/` `flip-+`
1×	`associate-+l-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `difference-of-squares` `unswap-sqr`

Counts

3 → 108

Calls

3 calls:

1.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
8.0ms	(+ (- 1.0 z) (log z))
12.0ms	(* y (+ (- 1.0 z) (log z)))

series361.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
221.0ms	(+ (- 1.0 z) (log z))
80.0ms	(* y (+ (- 1.0 z) (log z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	433	825
1	1840	609
2	5002	600

prune378.0ms

Filtered

117 candidates to 67 candidates (42.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	111	6	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	6	118

Merged error: 0b

Counts

118 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (+ (* 2 (log (cbrt z))) 1.0) z) y)
0.3b	(* y (log (cbrt z)))
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

17.0ms	(* (- (+ (* 2 (log (cbrt z))) 1.0) z) y)
5.0ms	(* y (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series578.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (- (+ (* 2 (log (cbrt z))) 1.0) z) y)
94.0ms	(* y (log (cbrt z)))
171.0ms	(cbrt z)
176.0ms	(cbrt z)

simplify40.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	273	541
1	1177	473
2	5001	448

prune289.0ms

Filtered

98 candidates to 79 candidates (19.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	98	6	104

Merged error: 0b

Counts

104 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (* (cbrt z) (cbrt z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

71×	`cbrt-prod`
40×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
12×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube` `unswap-sqr`
6×	`add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 111

Calls

4 calls:

1.0ms	(cbrt z)
9.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt (cbrt z))
7.0ms	(cbrt (* (cbrt z) (cbrt z)))

series900.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt z)
204.0ms	(* (cbrt z) (cbrt z))
238.0ms	(cbrt (cbrt z))
266.0ms	(cbrt (* (cbrt z) (cbrt z)))

simplify111.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	204	630
1	700	578
2	3709	525
3	5002	522

prune448.0ms

Filtered

123 candidates to 88 candidates (28.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	123	6	129

Merged error: 0b

Counts

129 → 6

localize12.0ms

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)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

117×	`*-un-lft-identity`
93×	`associate-+l+`
70×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
54×	`log-prod`
50×	`distribute-rgt-in` `distribute-lft-in`
45×	`prod-diff`
42×	`associate-+r+`
40×	`associate-r`
37×	`distribute-lft-out`
27×	`sqrt-prod`
25×	`pow1`
21×	`fma-def`
18×	`log-pow`
17×	`associate-l`
14×	`add-log-exp`
11×	`distribute-lft-out--`
8×	`add-exp-log` `add-cbrt-cube`
6×	`+-commutative`
5×	`sub-neg` `sum-log` `*-commutative`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3-+` `flip-+` `unswap-sqr`
2×	`diff-log` `associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-+l-` `distribute-rgt-out` `sqrt-pow1` `pow1/2` `difference-of-squares`

Counts

4 → 239

Calls

4 calls:

11.0ms	(+ (- 1.0 z) (log (sqrt z)))
36.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
14.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
5.0ms	(* y (log (sqrt z)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ (- 1.0 z) (log (sqrt z)))
125.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
93.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
93.0ms	(* y (log (sqrt z)))

simplify94.0ms

Algorithm

egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	734	1954
1	3029	1554
2	5002	1481

prune515.0ms

Filtered

251 candidates to 162 candidates (35.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	250	1	251
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	251	6	257

Merged error: 0b

Counts

257 → 6

regimes100.0ms

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	20	11
1	20	11

end0.0ms

sample941.0ms

Algorithm

intervals

Results

326.0ms	9171×	body	80	valid
249.0ms	8995×	body	80	nan