Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	299×	body	80	valid
9.0ms	327×	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

prune6.0ms

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)))

rewrite28.0ms

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:

6.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
11.0ms	(+ (- 1.0 z) (log z))
9.0ms	(* y (+ (- 1.0 z) (log z)))

series303.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
166.0ms	(+ (- 1.0 z) (log z))
79.0ms	(* y (+ (- 1.0 z) (log z)))

simplify60.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (47.0ms)

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

prune193.0ms

Filtered

91 candidates to 66 candidates (72.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	5	92

Merged error: 0.0b

Counts

92 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

6.0ms	(* (- 1.0 z) y)
4.0ms	(+ (fma x 0.5 (* (- 1.0 z) y)) (* y (log z)))
4.0ms	(* y (log z))

series128.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- 1.0 z) y)
62.0ms	(+ (fma x 0.5 (* (- 1.0 z) y)) (* y (log z)))
38.0ms	(* y (log z))

simplify44.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	327	418
1	1304	371
2	5002	358

prune187.0ms

Filtered

83 candidates to 61 candidates (73.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	82	6	88

Merged error: 0b

Counts

88 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 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:

6.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
9.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.4s

Counts

4 → 12

Calls

4 calls:

266.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
822.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
179.0ms	(cbrt z)
181.0ms	(cbrt z)

simplify42.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (34.0ms)

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

prune276.0ms

Filtered

89 candidates to 74 candidates (83.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	89	6	95

Merged error: 0b

Counts

95 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (log (cbrt z)))
0.3b	(* y (* 2 (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 104

Calls

4 calls:

5.0ms	(* y (log (cbrt z)))
6.0ms	(* y (* 2 (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series552.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* y (log (cbrt z)))
97.0ms	(* y (* 2 (log (cbrt z))))
185.0ms	(cbrt z)
179.0ms	(cbrt z)

simplify48.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	300	668
1	1170	590
2	5002	567

prune292.0ms

Filtered

116 candidates to 79 candidates (68.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	116	6	122

Merged error: 0b

Counts

122 → 6

regimes202.0ms

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	15	6
1	15	6

end0.0ms

sample983.0ms

Algorithm

intervals

Results

334.0ms	9141×	body	80	valid
269.0ms	9186×	body	80	nan