Details

sample61.0ms

Algorithm

intervals

Results

33.0ms	69×	body	1280	valid
12.0ms	49×	body	640	valid
3.0ms	101×	body	80	valid
3.0ms	22×	body	320	valid
2.0ms	101×	body	80	nan
1.0ms	15×	body	160	valid

simplify5.0ms

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: 36.8b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

3.9b	(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))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(log (+ 1.0 x))

simplify42.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (39.0ms)

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

prune43.0ms

Filtered

20 candidates to 15 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	17	3	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	4	21

Merged error: 0.2b

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)))))

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)))))

series93.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
45.0ms	(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 (48.0ms)

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

prune234.0ms

Filtered

128 candidates to 81 candidates (63.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	128	4	132

Merged error: 0.2b

Counts

132 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
3.9b	(log (+ 1.0 x))
3.9b	(log (+ 1.0 x))
3.9b	(log (+ 1.0 x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
23×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`pow1`
15×	`add-cube-cbrt`
12×	`log-prod`
9×	`add-exp-log` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`log-div` `pow1/3`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

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

series318.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
44.0ms	(log (+ 1.0 x))
40.0ms	(log (+ 1.0 x))
44.0ms	(log (+ 1.0 x))

simplify57.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	458	860
1	1768	793
2	5001	696

prune219.0ms

Filtered

110 candidates to 75 candidates (68.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	110	4	114

Merged error: 0.1b

Counts

114 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (pow (cbrt (log (+ 1.0 x))) 6))
0.6b	(pow (cbrt (log (+ 1.0 x))) 6)
3.9b	(log (+ 1.0 x))
3.9b	(log (+ 1.0 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

3.0ms	(cbrt (pow (cbrt (log (+ 1.0 x))) 6))
3.0ms	(pow (cbrt (log (+ 1.0 x))) 6)
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

series566.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (pow (cbrt (log (+ 1.0 x))) 6))
290.0ms	(pow (cbrt (log (+ 1.0 x))) 6)
46.0ms	(log (+ 1.0 x))
41.0ms	(log (+ 1.0 x))

simplify72.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	689	869
1	2850	815
2	5001	771

prune226.0ms

Filtered

91 candidates to 67 candidates (73.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	90	5	95

Merged error: 0.1b

Counts

95 → 5

regimes99.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.5b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	2292×	body	1280	valid
376.0ms	1619×	body	640	valid
105.0ms	856×	body	320	valid
80.0ms	2793×	body	80	valid
50.0ms	2764×	body	80	nan
32.0ms	440×	body	160	valid