Details

Time bar (total: 9.0s)

sample94.0ms

Algorithm
intervals
Results
50.0ms854×body80nan
18.0ms283×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: 0.1b

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))))

rewrite112.0ms

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:
28.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
36.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
11.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
31.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series554.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
200.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
155.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
73.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify93.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08601389
137741282
250011276

prune427.0ms

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)))))
0.6b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
11.1b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite193.0ms

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:
38.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
31.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
111.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series601.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
157.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
78.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
172.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify77.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07871286
131511135
250021129

prune592.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
0.3b
(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
11.1b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-sqr-sqrt add-cbrt-cube
21×associate-*l*
18×*-un-lft-identity
15×pow1
14×add-cube-cbrt prod-exp cbrt-unprod
13×associate-*r* sqrt-prod
8×times-frac
7×associate-*r/ pow-prod-down
6×cbrt-undiv sqrt-div div-exp associate-*l/
5×flip3-- flip-- unswap-sqr
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp difference-of-squares
3×*-commutative associate-/l*
2×frac-times sqrt-pow1 pow1/2 div-inv distribute-lft-out--
1×frac-2neg sqrt-unprod clear-num associate-/r*
Counts
4 → 125
Calls
4 calls:
42.0ms
(* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)
10.0ms
(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
27.0ms
(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
129.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand))

series680.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand)
179.0ms
(/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
89.0ms
(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
196.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))) rand))

simplify98.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08111410
138231218
250031206

prune378.0ms

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)) 1.0) (* (- a (/ 1.0 3.0)) (* 1.0 (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)))))
0.2b
(/ rand (sqrt (- a (/ 1.0 3.0))))
0.2b
(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
11.1b
(* (- a (/ 1.0 3.0)) (* 1.0 (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
440×times-frac
333×add-sqr-sqrt
255×*-un-lft-identity
252×sqrt-prod
203×add-cube-cbrt
52×difference-of-squares
36×associate-/l*
26×distribute-lft-out--
25×add-exp-log add-cbrt-cube
19×flip3-- flip--
16×sqrt-div associate-*l/ associate-/r/
15×associate-/r*
12×associate-*r/
10×frac-add
9×pow1 div-inv
7×cbrt-undiv div-exp prod-exp cbrt-unprod
6×frac-times associate-*l* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×pow-prod-down
2×frac-2neg clear-num
1×+-commutative fma-def flip3-+ associate-*r* sum-log *-commutative flip-+ associate-/l/ distribute-lft-out
Counts
4 → 366
Calls
4 calls:
11.0ms
(+ (* (- a (/ 1.0 3.0)) 1.0) (* (- a (/ 1.0 3.0)) (* 1.0 (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)))))
13.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
31.0ms
(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
90.0ms
(* (- a (/ 1.0 3.0)) (* 1.0 (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))))

series676.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(+ (* (- a (/ 1.0 3.0)) 1.0) (* (- a (/ 1.0 3.0)) (* 1.0 (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)))))
89.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
200.0ms
(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
199.0ms
(* (- a (/ 1.0 3.0)) (* 1.0 (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))))

simplify77.0ms

Algorithm
egg-herbie
Counts
378 → 378
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015855542
150015189

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes77.0ms

Accuracy

-17.5% (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
02014
12014

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.6s28233×body80nan
574.0ms9119×body80valid