Details

sample56.0ms

Algorithm

intervals

Results

29.0ms	66×	body	1280	valid
12.0ms	58×	body	640	valid
3.0ms	31×	body	320	valid
2.0ms	81×	body	80	valid
1.0ms	71×	body	80	nan
1.0ms	20×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 41.4b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.6b	(log (+ 1.0 x))

rewrite4.0ms

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))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(log (+ 1.0 x))

simplify49.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	129	99
1	357	89
2	1274	86
3	5001	81

prune41.0ms

Filtered

20 candidates to 15 candidates (25.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	16	4	20
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	4	21

Merged error: 0.0b

Counts

21 → 4

localize11.0ms

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)))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
74×	`add-sqr-sqrt`
68×	`associate-r`
62×	`unpow-prod-down`
41×	`*-un-lft-identity`
40×	`add-cube-cbrt`
26×	`unpow2` `sqr-pow`
25×	`add-exp-log`
19×	`associate-*r/`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp` `associate-/l*`
8×	`associate-/r*`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `clear-num` `un-div-inv` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `pow-prod-down` `*-commutative` `fma-udef` `div-inv`

Counts

2 → 142

Calls

2 calls:

24.0ms	(* 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)))))

series106.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
51.0ms	(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify73.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	599	820
1	2642	684
2	5001	683

prune475.0ms

Filtered

148 candidates to 95 candidates (35.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	148	4	152

Merged error: 0.0b

Counts

152 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

5.6b	(log (sqrt (+ 1.0 x)))
5.6b	(log (sqrt (+ 1.0 x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

4.0ms	(log (sqrt (+ 1.0 x)))
4.0ms	(log (sqrt (+ 1.0 x)))

series179.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(log (sqrt (+ 1.0 x)))
90.0ms	(log (sqrt (+ 1.0 x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	141	314
1	358	284
2	1276	272
3	5001	264

prune81.0ms

Filtered

50 candidates to 36 candidates (28.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	50	4	54

Merged error: 0.0b

Counts

54 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1.0 x)))
5.6b	(log (+ 1.0 x))
5.6b	(log (+ 1.0 x))
5.6b	(log (+ 1.0 x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt (log (+ 1.0 x)))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))
6.0ms	(log (+ 1.0 x))

series302.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (log (+ 1.0 x)))
44.0ms	(log (+ 1.0 x))
50.0ms	(log (+ 1.0 x))
45.0ms	(log (+ 1.0 x))

simplify115.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	319	470
1	1022	431
2	4262	399
3	5001	396

prune160.0ms

Filtered

77 candidates to 63 candidates (18.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	76	5	81

Merged error: 0.0b

Counts

81 → 5

regimes80.0ms

Accuracy

98.7% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample1.7s

Algorithm

intervals

Results

983.0ms	2242×	body	1280	valid
341.0ms	1625×	body	640	valid
91.0ms	879×	body	320	valid
59.0ms	2814×	body	80	valid
41.0ms	2681×	body	80	nan
26.0ms	440×	body	160	valid