Details

sample419.0ms

Algorithm

intervals

Results

125.0ms	123×	body	10240	exit
102.0ms	114×	body	1280	valid
47.0ms	75×	body	640	valid
45.0ms	50×	body	1280	nan
23.0ms	40×	body	640	nan
19.0ms	44×	body	320	valid
6.0ms	15×	body	320	nan
5.0ms	18×	body	160	valid
3.0ms	13×	body	160	nan
1.0ms	9×	body	80	valid
1.0ms	9×	body	80	nan

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	133	48
1	455	48
2	2797	47
3	5001	47

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.6b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (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))
5.0b	(+ (- z 1.0) 1.0)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cube-cbrt` `associate-r`
11×	`associate-+l+` `add-cbrt-cube`
10×	`prod-exp`
9×	`pow1` `prod-diff` `add-log-exp`
7×	`unpow-prod-down` `distribute-lft-out`
6×	`associate-*r/`
5×	`associate-+l-` `fma-def` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `pow-sub`
3×	`exp-neg` `distribute-lft-out--` `unswap-sqr`
2×	`neg-sub0` `frac-times` `pow-to-exp` `sqrt-pow1` `exp-diff` `pow-prod-down` `pow-exp` `sum-log` `sqrt-prod` `*-commutative` `sqr-pow`
1×	`unpow-prod-up` `+-commutative` `sub-neg` `distribute-neg-in` `flip3-+` `pow1/2` `diff-log` `exp-sum` `associate-*l/` `un-div-inv` `flip-+` `difference-of-squares`

Counts

4 → 107

Calls

4 calls:

37.0ms	(* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (exp (- (+ (+ (- z 1.0) 7.0) 0.5))))
18.0ms	(* (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)

series662.0ms

Counts

4 → 10

Calls

4 calls:

377.0ms	(* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (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))
9.0ms	(+ (- z 1.0) 1.0)

simplify99.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	775	1254
1	3561	1056
2	5001	1041

prune997.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.8b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (exp (- (+ (+ (- z 1.0) 7.0) 0.5))))
0.7b	(* (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (exp (- (+ (+ (- z 1.0) 7.0) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- z 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))))
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))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

392×	`frac-add`
132×	`frac-times`
107×	`associate-*r/`
62×	`*-un-lft-identity`
56×	`flip3-+` `flip-+`
55×	`associate-+l-` `pow-sub`
54×	`exp-neg`
41×	`distribute-lft-out`
36×	`neg-sub0` `exp-diff`
27×	`add-exp-log`
26×	`associate-r`
24×	`associate-*l/`
22×	`prod-exp`
20×	`add-cbrt-cube`
18×	`un-div-inv`
14×	`pow1` `add-sqr-sqrt`
10×	`cbrt-unprod`
9×	`add-cube-cbrt`
7×	`unpow-prod-down`
6×	`associate-l`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `*-commutative` `unswap-sqr`
2×	`sqrt-pow1` `sqrt-prod` `sqr-pow`
1×	`unpow-prod-up` `distribute-rgt-in` `distribute-neg-in` `distribute-lft-in` `pow1/2` `exp-sum` `distribute-lft-out--`

Counts

4 → 226

Calls

4 calls:

36.0ms	(* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (exp (- (+ (+ (- z 1.0) 7.0) 0.5))))
154.0ms	(* (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (exp (- (+ (+ (- z 1.0) 7.0) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- z 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))))
19.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
3.0ms	(sqrt (* PI 2.0))

series1.5s

Counts

4 → 10

Calls

4 calls:

365.0ms	(* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (exp (- (+ (+ (- z 1.0) 7.0) 0.5))))
806.0ms	(* (* (* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5))) (exp (- (+ (+ (- z 1.0) 7.0) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- z 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))))
285.0ms	(* (sqrt (* PI 2.0)) (pow (+ (+ (- z 1.0) 7.0) 0.5) (+ (- z 1.0) 0.5)))
0.0ms	(sqrt (* PI 2.0))

simplify317.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 1 (66.0ms)

Iter	Nodes	Cost
0	3920	25326
1	5003	25184

prune2.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

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))
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))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

216×	`add-sqr-sqrt`
208×	`unpow-prod-down`
132×	`times-frac`
116×	`associate-l`
96×	`add-exp-log` `*-un-lft-identity`
72×	`add-cube-cbrt` `unswap-sqr`
52×	`pow-exp`
48×	`prod-exp` `sqrt-prod`
40×	`sqr-pow`
24×	`div-exp` `associate-r`
16×	`pow-to-exp`
12×	`rec-exp` `1-exp` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 304

Calls

4 calls:

15.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))
15.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))
14.0ms	(* (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	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))
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))
0.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))

simplify65.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	412	2880
1	1325	2828
2	5001	2712

prune2.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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))
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))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

216×	`add-sqr-sqrt`
208×	`unpow-prod-down`
132×	`times-frac`
116×	`associate-l`
96×	`add-exp-log` `*-un-lft-identity`
72×	`add-cube-cbrt` `unswap-sqr`
52×	`pow-exp`
48×	`prod-exp` `sqrt-prod`
40×	`sqr-pow`
24×	`div-exp` `associate-r`
16×	`pow-to-exp`
12×	`rec-exp` `1-exp` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 304

Calls

4 calls:

14.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))
15.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))
15.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))
18.0ms	(* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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))
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))

simplify71.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	434	2840
1	1476	2764
2	5001	2644

prune2.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes130.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	47
1	85	47
2	85	47

end0.0ms

sample12.0s

Algorithm

intervals

Results

4.0s	3839×	body	10240	exit
3.2s	3420×	body	1280	valid
1.6s	2529×	body	640	valid
1.1s	1482×	body	1280	nan
647.0ms	1143×	body	640	nan
552.0ms	1226×	body	320	valid
253.0ms	604×	body	320	nan
165.0ms	568×	body	160	valid
90.0ms	330×	body	160	nan
50.0ms	342×	body	80	valid
41.0ms	310×	body	80	nan