Details

sample62.0ms

Algorithm

intervals

Results

35.0ms	75×	body	1280	valid
13.0ms	65×	body	640	valid
3.0ms	26×	body	320	valid
2.0ms	84×	body	80	valid
1.0ms	80×	body	80	nan
0.0ms	6×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 40.5b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

2.7b	(log (+ 1.0 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(log (+ 1.0 x))

simplify41.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	131	99
1	363	89
2	1292	86
3	5002	81

prune39.0ms

Filtered

20 candidates to 15 candidates (75.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	16	4	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	5	21

Merged error: 0.1b

Counts

21 → 5

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `fma-udef` `div-inv`

Counts

2 → 122

Calls

2 calls:

19.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
1.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series95.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
42.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	560	763
1	2406	633
2	5001	632

prune245.0ms

Filtered

128 candidates to 81 candidates (63.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	128	5	133

Merged error: 0.1b

Counts

133 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 1.0 x))
0.2b	(cbrt (+ 1.0 x))
2.8b	(log (cbrt (+ 1.0 x)))
2.8b	(log (cbrt (+ 1.0 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`cbrt-prod`
14×	`log-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-div`
6×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `log-div` `flip3-+` `pow1/3` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-log-exp`

Counts

4 → 74

Calls

4 calls:

3.0ms	(cbrt (+ 1.0 x))
3.0ms	(cbrt (+ 1.0 x))
4.0ms	(log (cbrt (+ 1.0 x)))
4.0ms	(log (cbrt (+ 1.0 x)))

series410.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (+ 1.0 x))
88.0ms	(cbrt (+ 1.0 x))
121.0ms	(log (cbrt (+ 1.0 x)))
112.0ms	(log (cbrt (+ 1.0 x)))

simplify79.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	259	562
1	750	518
2	2689	498
3	5001	488

prune210.0ms

Filtered

86 candidates to 74 candidates (86.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	86	5	91

Merged error: 0.1b

Counts

91 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/3 (log (+ 1.0 x)))
0.2b	(cbrt (+ 1.0 x))
2.7b	(log (+ 1.0 x))
2.8b	(log (cbrt (+ 1.0 x)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

6.0ms	(* 1/3 (log (+ 1.0 x)))
3.0ms	(cbrt (+ 1.0 x))
3.0ms	(log (+ 1.0 x))
4.0ms	(log (cbrt (+ 1.0 x)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* 1/3 (log (+ 1.0 x)))
89.0ms	(cbrt (+ 1.0 x))
40.0ms	(log (+ 1.0 x))
116.0ms	(log (cbrt (+ 1.0 x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	395	567
1	1263	505
2	5001	481

prune203.0ms

Filtered

95 candidates to 74 candidates (77.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	94	6	100

Merged error: 0.1b

Counts

100 → 6

regimes99.0ms

Accuracy

98% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 21.4b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

965.0ms	2235×	body	1280	valid
367.0ms	1779×	body	640	valid
82.0ms	784×	body	320	valid
56.0ms	2768×	body	80	valid
35.0ms	2675×	body	80	nan
25.0ms	434×	body	160	valid