Details

Time bar (total: 8.3s)

sample63.0ms

Algorithm
intervals
Results
28.0ms866×body80nan
10.0ms288×body80valid

simplify103.0ms

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: 0.1b

localize10.0ms

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))))

rewrite65.0ms

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:
11.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
15.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
10.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
24.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series526.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
187.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
146.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
74.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify97.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08601389
137741282
250011276

prune408.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9.0 (- a (/ 1.0 3.0)))
0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
0.2b
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.6b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
84×*-un-lft-identity
78×add-cube-cbrt prod-diff
60×times-frac
42×distribute-rgt-in distribute-lft-in
13×add-exp-log add-cbrt-cube
11×pow1
10×associate-*r*
9×associate-*l*
8×associate-*r/
7×div-inv
6×flip3-- flip--
4×expm1-log1p-u frac-times sqrt-div associate-/r* log1p-expm1-u add-log-exp difference-of-squares
3×flip3-+ pow-prod-down prod-exp sqrt-prod cbrt-unprod flip-+
2×cbrt-undiv sub-neg sqrt-pow1 div-exp associate-*l/ associate-/r/ *-commutative distribute-lft-out-- unswap-sqr
1×frac-2neg pow1/2 clear-num distribute-lft-out associate-/l*
Counts
4 → 183
Calls
4 calls:
13.0ms
(* 9.0 (- a (/ 1.0 3.0)))
15.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
12.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
23.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series441.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 9.0 (- a (/ 1.0 3.0)))
118.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
203.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
76.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify50.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011573007
150012366

prune370.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)))
0.2b
(* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.4b
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
142×add-sqr-sqrt
102×times-frac
76×*-un-lft-identity
62×add-exp-log sqrt-prod
54×add-cube-cbrt
39×associate-*r*
38×add-cbrt-cube
29×associate-*l*
26×prod-exp
17×div-exp
16×difference-of-squares unswap-sqr
14×cbrt-unprod
13×pow1
9×cbrt-undiv associate-/r*
8×distribute-lft-out--
7×associate-*l/
6×frac-times
5×flip3-- pow-prod-down flip--
4×expm1-log1p-u rec-exp sqrt-div 1-exp associate-*r/ associate-/r/ log1p-expm1-u add-log-exp
3×flip3-+ *-commutative flip-+ div-inv associate-/l*
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 217
Calls
4 calls:
11.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)))
19.0ms
(* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
10.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
34.0ms
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

series641.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)))
223.0ms
(* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
76.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
189.0ms
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
229 → 229
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
012192615
150012311

prune677.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* rand (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)))
0.3b
(/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
0.3b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.5b
(* (sqrt (- a (/ 1.0 3.0))) (* (sqrt (- a (/ 1.0 3.0))) (+ 1.0 (* rand (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))))))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
828×times-frac
612×add-sqr-sqrt
470×sqrt-prod
456×*-un-lft-identity
368×add-cube-cbrt
203×associate-*r*
88×difference-of-squares
64×sqrt-div
44×distribute-lft-out--
36×associate-/l*
32×flip3-- flip--
28×frac-times associate-/r/
25×add-exp-log add-cbrt-cube
16×div-inv
15×associate-*r/ associate-/r*
12×associate-*l*
11×pow1
9×flip3-+ flip-+
8×associate-*l/
7×cbrt-undiv div-exp unswap-sqr
6×prod-exp cbrt-unprod
4×distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down log1p-expm1-u add-log-exp
2×frac-2neg clear-num *-commutative
1×associate-/l/
Counts
4 → 595
Calls
4 calls:
63.0ms
(* rand (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)))
21.0ms
(/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
10.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
21.0ms
(* (sqrt (- a (/ 1.0 3.0))) (* (sqrt (- a (/ 1.0 3.0))) (+ 1.0 (* rand (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))))))

series673.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(* rand (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)))
179.0ms
(/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
82.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
172.0ms
(* (sqrt (- a (/ 1.0 3.0))) (* (sqrt (- a (/ 1.0 3.0))) (+ 1.0 (* rand (/ (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))))))

simplify127.0ms

Algorithm
egg-herbie
Counts
607 → 607
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
020428131
150027591

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes80.0ms

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)

IterNodesCost
01710
11710

end0.0ms

sample1.9s

Algorithm
intervals
Results
922.0ms27887×body80nan
323.0ms9133×body80valid