Details

sample440.0ms

Algorithm

intervals

Results

129.0ms	128×	body	10240	exit
112.0ms	118×	body	1280	valid
45.0ms	73×	body	640	valid
43.0ms	58×	body	1280	nan
32.0ms	55×	body	640	nan
18.0ms	41×	body	320	valid
6.0ms	15×	body	320	nan
5.0ms	17×	body	160	valid
3.0ms	10×	body	160	nan
2.0ms	18×	body	80	nan
1.0ms	10×	body	80	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	133	48
1	453	48
2	2766	47
3	5002	47

prune27.0ms

Filtered

1 candidates to 1 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: 62.0b

Counts

2 → 2

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- z 1.0) 1.0))) (/ -1259.1392167224028 (+ (- z 1.0) 2.0))) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))
1.0b	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
1.0b	(sqrt (* PI 2.0))
5.3b	(+ (- z 1.0) 1.0)

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

112×	`frac-add`
34×	`associate-*r/`
33×	`associate-/l/`
23×	`*-un-lft-identity`
21×	`associate-+l-`
20×	`add-exp-log`
18×	`pow-sub`
17×	`flip3-+` `flip-+`
16×	`frac-times`
15×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
11×	`associate-r`
10×	`prod-exp`
9×	`add-cube-cbrt` `add-log-exp`
7×	`pow1` `unpow-prod-down` `distribute-lft-out`
5×	`div-exp`
4×	`times-frac` `associate-l` `associate-/r*` `cbrt-unprod`
3×	`cbrt-undiv` `unswap-sqr`
2×	`pow-to-exp` `associate-+l+` `sqrt-pow1` `exp-sum` `pow-exp` `sum-log` `sqrt-prod` `distribute-lft-out--` `sqr-pow`
1×	`unpow-prod-up` `+-commutative` `sub-neg` `frac-2neg` `pow1/2` `exp-diff` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `associate-/r/` `-commutative` `div-inv` `associate-/l*`

Counts

4 → 120

Calls

4 calls:

156.0ms	(/ (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- z 1.0) 1.0))) (/ -1259.1392167224028 (+ (- z 1.0) 2.0))) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))
19.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
2.0ms	(sqrt (* PI 2.0))
8.0ms	(+ (- z 1.0) 1.0)

series948.0ms

Counts

4 → 10

Calls

4 calls:

657.0ms	(/ (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- z 1.0) 1.0))) (/ -1259.1392167224028 (+ (- z 1.0) 2.0))) (/ 771.3234287776531 (+ (- z 1.0) 3.0))) (/ -176.6150291621406 (+ (- z 1.0) 4.0))) (/ 12.507343278686905 (+ (- z 1.0) 5.0))) (/ -0.13857109526572012 (+ (- z 1.0) 6.0))) (/ 9.984369578019572e-06 (+ (- z 1.0) 7.0))) (/ 1.5056327351493116e-07 (+ (- z 1.0) 8.0)))) (exp (+ (+ (- z 1.0) 7.0) 0.5)))
275.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
0.0ms	(sqrt (* PI 2.0))
16.0ms	(+ (- z 1.0) 1.0)

simplify74.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1784	4152
1	5003	3792

prune1.3s

Filtered

130 candidates to 105 candidates (80.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	124	6	130
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	126	6	132

Merged error: 0.3b

Counts

132 → 6

localize73.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (sqrt 2.0) (exp 6.5))
1.0b	(* (log 6.5) (sqrt 2.0))
1.0b	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))
1.0b	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

132×	`add-sqr-sqrt`
104×	`unpow-prod-down`
84×	`times-frac`
68×	`*-un-lft-identity`
62×	`associate-l`
56×	`add-cube-cbrt`
53×	`add-exp-log`
40×	`sqrt-prod`
38×	`unswap-sqr`
26×	`pow-exp`
25×	`prod-exp`
20×	`sqr-pow`
18×	`associate-r`
13×	`div-exp`
12×	`add-cbrt-cube`
8×	`pow-to-exp`
7×	`pow1`
6×	`rec-exp` `1-exp` `associate-/l*`
4×	`add-log-exp`
3×	`associate-/r` `-commutative` `cbrt-unprod` `div-inv`
1×	`cbrt-undiv` `frac-2neg` `pow-prod-down` `clear-num` `log-pow`

Counts

4 → 210

Calls

4 calls:

5.0ms	(/ (sqrt 2.0) (exp 6.5))
6.0ms	(* (log 6.5) (sqrt 2.0))
16.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))
15.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (sqrt 2.0) (exp 6.5))
0.0ms	(* (log 6.5) (sqrt 2.0))
0.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))
0.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))

simplify80.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	584	1952
1	2136	1884
2	5001	1813

prune1.9s

Filtered

214 candidates to 130 candidates (60.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	212	8	220

Merged error: 0.2b

Counts

220 → 8

localize69.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(/ (sqrt 2.0) (exp 6.5))
1.0b	(* (log 6.5) (sqrt 2.0))
1.0b	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
52×	`unpow-prod-down`
51×	`times-frac`
46×	`*-un-lft-identity`
40×	`add-cube-cbrt`
33×	`associate-l`
31×	`sqrt-prod`
30×	`add-exp-log`
20×	`unswap-sqr`
13×	`pow-exp` `prod-exp`
12×	`associate-r`
10×	`add-cbrt-cube` `sqr-pow`
8×	`pow1`
7×	`div-exp`
6×	`associate-/l*`
4×	`pow-to-exp` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-/r*`
2×	`*-commutative` `cbrt-unprod` `div-inv`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `clear-num` `log-pow`

Counts

4 → 149

Calls

4 calls:

1.0ms	(sqrt PI)
5.0ms	(/ (sqrt 2.0) (exp 6.5))
5.0ms	(* (log 6.5) (sqrt 2.0))
15.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(/ (sqrt 2.0) (exp 6.5))
0.0ms	(* (log 6.5) (sqrt 2.0))
0.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))

simplify205.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	575	1313
1	2085	1282
2	5002	1223

prune1.4s

Filtered

153 candidates to 96 candidates (62.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	151	10	161

Merged error: 0.1b

Counts

161 → 10

localize60.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(* (log 6.5) (sqrt 2.0))
1.0b	(* (* 676.5203681218851 (sqrt PI)) (/ (* (log 6.5) (sqrt 2.0)) (exp 6.5)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-cbrt-cube`
23×	`add-exp-log`
17×	`add-sqr-sqrt`
14×	`pow1`
13×	`associate-r`
12×	`prod-exp` `cbrt-unprod`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-prod`
5×	`associate-l`
4×	`cbrt-undiv` `div-exp` `pow-prod-down` `add-log-exp`
3×	`times-frac`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`
1×	`associate-*r/` `log-pow` `div-inv`

Counts

4 → 80

Calls

4 calls:

1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
5.0ms	(* (log 6.5) (sqrt 2.0))
13.0ms	(* (* 676.5203681218851 (sqrt PI)) (/ (* (log 6.5) (sqrt 2.0)) (exp 6.5)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(* (log 6.5) (sqrt 2.0))
0.0ms	(* (* 676.5203681218851 (sqrt PI)) (/ (* (log 6.5) (sqrt 2.0)) (exp 6.5)))

simplify59.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	412	753
1	2067	669
2	5001	658

prune565.0ms

Filtered

84 candidates to 51 candidates (60.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	84	10	94

Merged error: 0.1b

Counts

94 → 10

regimes284.0ms

Accuracy

0% (1.2b remaining)

Error of 1.4b against oracle of 0.2b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	63
1	84	63
2	84	63

end0.0ms

sample11.8s

Algorithm

intervals

Results

3.9s	3788×	body	10240	exit
3.0s	3307×	body	1280	valid
1.6s	2488×	body	640	valid
1.1s	1477×	body	1280	nan
725.0ms	1235×	body	640	nan
590.0ms	1297×	body	320	valid
261.0ms	625×	body	320	nan
190.0ms	644×	body	160	valid
85.0ms	308×	body	160	nan
51.0ms	349×	body	80	valid
41.0ms	320×	body	80	nan