Details

sample63.0ms

Algorithm

intervals

Results

28.0ms	907×	body	80	nan
10.0ms	302×	body	80	valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	192	10
3	437	10
4	816	10
5	1578	10
6	2764	10
7	5002	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.2b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
26×	`*-un-lft-identity` `times-frac`
24×	`add-cube-cbrt` `associate-l`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`associate-*r/` `sqrt-prod`
6×	`flip3--` `sqrt-div` `associate-r` `flip--`
4×	`frac-times` `associate-/r*` `associate-/r/` `add-log-exp`
3×	`flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `sqrt-pow1` `div-exp` `*-commutative` `div-inv` `difference-of-squares`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow1/2` `clear-num` `distribute-lft-out--`

Counts

4 → 114

Calls

4 calls:

26.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
33.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
12.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
6.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series517.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
186.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
144.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
70.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify91.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	823	1340
1	3601	1238
2	5002	1238

prune369.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
7.4b	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`times-frac`
25×	`*-un-lft-identity`
24×	`associate-l`
23×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
8×	`sqrt-prod`
7×	`associate-*r/` `prod-exp` `cbrt-unprod`
6×	`sqrt-div` `associate-*l/`
5×	`flip3--` `pow-prod-down` `flip--`
4×	`associate-r` `associate-/r*` `associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`frac-times` `sqrt-pow1` `*-commutative` `div-inv` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `pow1/2` `clear-num` `distribute-lft-out--`

Counts

4 → 111

Calls

4 calls:

35.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
6.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
102.0ms	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series587.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
145.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
77.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
168.0ms	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify76.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	754	1232
1	3048	1085
2	5001	1085

prune363.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
26×	`times-frac`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
9×	`associate-*l/`
8×	`associate-*r/` `sqrt-prod`
7×	`flip3--` `associate-l` `prod-exp` `flip--` `cbrt-unprod`
6×	`sqrt-div`
5×	`pow-prod-down`
4×	`frac-times` `associate-/r*` `associate-/r/` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`sqrt-pow1` `*-commutative` `div-inv` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `pow1/2` `clear-num` `distribute-lft-out--`

Counts

4 → 115

Calls

4 calls:

104.0ms	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
8.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
50.0ms	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
6.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series512.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
146.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
134.0ms	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
74.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify78.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	727	1338
1	3253	1177
2	5001	1177

prune354.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a (/ 1.0 3.0)) (sqrt 9.0))
0.3b	(* (* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.4b	(* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

209×	`add-sqr-sqrt`
158×	`times-frac`
119×	`*-un-lft-identity`
87×	`sqrt-prod`
79×	`add-cube-cbrt`
41×	`associate-l`
40×	`difference-of-squares`
38×	`add-exp-log` `add-cbrt-cube`
36×	`associate-r`
20×	`distribute-lft-out--`
15×	`associate-/r*`
13×	`prod-exp` `cbrt-unprod`
11×	`pow1`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/l*` `unswap-sqr`
5×	`associate-*l/`
4×	`sqrt-div` `pow-prod-down` `associate-/r/` `div-inv` `add-log-exp`
3×	`flip3--` `flip--`
2×	`frac-times` `frac-2neg` `associate-r/` `clear-num` `-commutative` `associate-/l/`
1×	`div-sub`

Counts

4 → 245

Calls

4 calls:

18.0ms	(/ (- a (/ 1.0 3.0)) (sqrt 9.0))
70.0ms	(* (* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
14.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
74.0ms	(* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

series545.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (- a (/ 1.0 3.0)) (sqrt 9.0))
200.0ms	(* (* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
82.0ms	(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
174.0ms	(* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

simplify113.0ms

Algorithm

egg-herbie

Counts

257 → 257

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1085	2881
1	4681	2628
2	5002	2628

prune708.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	13
1	19	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

981.0ms	27466×	body	80	nan
324.0ms	9173×	body	80	valid