Details

Time bar (total: 10.8s)

sample89.0ms

Algorithm
intervals
Results
44.0ms766×body80nan
21.0ms294×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17610
221110
353010
4106510
5219810
6379410
7500110

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

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)))))
0.6b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite108.0ms

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×expm1-log1p-u frac-times associate-/r* associate-/r/ log1p-expm1-u 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 → 122
Calls
4 calls:
27.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
37.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
30.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series534.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
191.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
146.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
75.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify94.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08601389
137741282
250011276

prune388.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
183×add-sqr-sqrt
175×sqrt-prod
162×times-frac
125×*-un-lft-identity
106×associate-*l*
97×add-cube-cbrt
34×add-exp-log add-cbrt-cube
28×difference-of-squares
14×distribute-lft-out--
13×pow1 prod-exp cbrt-unprod
9×associate-/r*
7×cbrt-undiv div-exp associate-*r*
6×associate-*l/ associate-/l* unswap-sqr
5×frac-times flip3-- pow-prod-down flip--
4×expm1-log1p-u sqrt-div associate-/r/ log1p-expm1-u add-log-exp
3×flip3-+ associate-*r/ *-commutative flip-+ div-inv
1×distribute-rgt-in sqrt-undiv frac-2neg distribute-lft-in clear-num
Counts
4 → 271
Calls
4 calls:
27.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
46.0ms
(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
14.0ms
(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
56.0ms
(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

series956.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))))
217.0ms
(* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand)
107.0ms
(/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0))))
364.0ms
(* (/ (sqrt 1.0) (sqrt 9.0)) (* (/ (sqrt 1.0) (sqrt (- a (/ 1.0 3.0)))) rand))

simplify66.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
012293446
150023183

prune875.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1 (/ (/ 1.0 (/ (sqrt 9.0) rand)) (sqrt (- a (/ 1.0 3.0)))))))
0.2b
(/ 1.0 (/ (sqrt 9.0) rand))
0.3b
(/ (/ 1.0 (/ (sqrt 9.0) rand)) (sqrt (- a (/ 1.0 3.0))))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
2051×times-frac
1219×add-sqr-sqrt
995×*-un-lft-identity
846×add-cube-cbrt
744×sqrt-prod
148×difference-of-squares
74×associate-/l* distribute-lft-out--
46×div-inv
31×associate-/r*
20×add-exp-log add-cbrt-cube
13×associate-/r/
9×cbrt-undiv div-exp
7×pow1
6×associate-*l*
5×flip3-- flip--
4×expm1-log1p-u frac-times sqrt-div associate-*r* log1p-expm1-u add-log-exp
3×flip3-+ flip-+
2×frac-2neg associate-*r/ associate-*l/ clear-num
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l/ distribute-lft-out unswap-sqr
Counts
4 → 902
Calls
4 calls:
17.0ms
(sqrt (- a (/ 1.0 3.0)))
27.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1 (/ (/ 1.0 (/ (sqrt 9.0) rand)) (sqrt (- a (/ 1.0 3.0)))))))
7.0ms
(/ 1.0 (/ (sqrt 9.0) rand))
45.0ms
(/ (/ 1.0 (/ (sqrt 9.0) rand)) (sqrt (- a (/ 1.0 3.0))))

series692.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(sqrt (- a (/ 1.0 3.0)))
353.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* 1 (/ (/ 1.0 (/ (sqrt 9.0) rand)) (sqrt (- a (/ 1.0 3.0)))))))
63.0ms
(/ 1.0 (/ (sqrt 9.0) rand))
237.0ms
(/ (/ 1.0 (/ (sqrt 9.0) rand)) (sqrt (- a (/ 1.0 3.0))))

simplify181.0ms

Algorithm
egg-herbie
Counts
914 → 914
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
0291615565
1500214897

prune2.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 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)))))
0.6b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
9.4b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite187.0ms

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×expm1-log1p-u associate-*r* associate-/r* associate-/r/ log1p-expm1-u 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 → 119
Calls
4 calls:
37.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
32.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
105.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series568.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
145.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
76.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
160.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify81.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
07871284
131571135
250011129

prune370.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111
12311
22311

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.6s26896×body80nan
662.0ms9131×body80valid