Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	290×	body	80	valid
9.0ms	298×	body	80	nan

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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	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

localize10.0ms

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

rewrite25.0ms

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`
7×	`associate-r`
6×	`add-log-exp`
5×	`add-exp-log` `fma-def` `add-cbrt-cube` `distribute-lft-out--`
4×	`log-pow`
3×	`expm1-log1p-u` `associate-+r+` `log-prod` `associate-l` `log1p-expm1-u`
2×	`flip3-+` `associate-*r/` `sum-log` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `difference-of-squares` `unswap-sqr`

Counts

3 → 76

Calls

3 calls:

1.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
9.0ms	(+ (- 1.0 z) (log z))
13.0ms	(* y (+ (- 1.0 z) (log z)))

series286.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
157.0ms	(+ (- 1.0 z) (log z))
76.0ms	(* y (+ (- 1.0 z) (log z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	336	468
1	1466	370
2	5001	366

prune221.0ms

Filtered

85 candidates to 61 candidates (71.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	7	86

Merged error: 0.0b

Counts

86 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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`
9×	`pow1` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `sum-log` `log-pow` `flip--` `flip-+` `fma-udef` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 126

Calls

4 calls:

1.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
8.0ms	(* y (- 1.0 z))
10.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
5.0ms	(* y (log z))

series236.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
33.0ms	(* y (- 1.0 z))
101.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
37.0ms	(* y (log z))

simplify66.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	494	914
1	2048	666
2	5003	654

prune351.0ms

Filtered

138 candidates to 89 candidates (64.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	134	4	138
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	139	6	145

Merged error: 0b

Counts

145 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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:

8.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
5.0ms	(* y (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series599.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
93.0ms	(* y (log (cbrt z)))
178.0ms	(cbrt z)
183.0ms	(cbrt z)

simplify38.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (31.0ms)

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

prune359.0ms

Filtered

96 candidates to 79 candidates (82.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.2b	(* (log (pow (/ 1 z) -1/3)) y)
0.6b	(cbrt z)
4.9b	(pow (/ 1 z) -1/3)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`add-exp-log` `unpow-prod-down`
10×	`pow1`
9×	`times-frac` `associate-l`
8×	`add-cbrt-cube`
6×	`associate-r`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `rec-exp` `flip3--` `pow-flip` `pow1/3` `1-exp` `log-pow` `flip--` `div-inv` `distribute-lft-out--` `inv-pow` `difference-of-squares` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

8.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
5.0ms	(* (log (pow (/ 1 z) -1/3)) y)
1.0ms	(cbrt z)
9.0ms	(pow (/ 1 z) -1/3)

series613.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
113.0ms	(* (log (pow (/ 1 z) -1/3)) y)
180.0ms	(cbrt z)
182.0ms	(pow (/ 1 z) -1/3)

simplify50.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	410	576
1	1630	499
2	5003	459

prune384.0ms

Filtered

104 candidates to 79 candidates (76.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	104	4	108

Merged error: 0b

Counts

108 → 4

regimes123.0ms

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

sample1.0s

Algorithm

intervals

Results

352.0ms	9196×	body	80	valid
282.0ms	9298×	body	80	nan