Details

Time bar (total: 9.1s)

sample62.0ms

Algorithm
intervals
Results
27.0ms866×body80nan
10.0ms288×body80valid

simplify100.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17610
221110
353010
4106510
5219810
6379410
7500110

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))))

rewrite58.0ms

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:
10.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
13.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
10.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
21.0ms
(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)))
180.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
144.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
77.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify95.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08601389
137741282
250011276

prune398.0ms

Filtered
134 candidates to 115 candidates (85.8%)
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))))

rewrite67.0ms

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:
12.0ms
(* 9.0 (- a (/ 1.0 3.0)))
14.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
11.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
20.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series443.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 9.0 (- a (/ 1.0 3.0)))
121.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
201.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
75.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify53.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011573007
150012366

prune385.0ms

Filtered
195 candidates to 103 candidates (52.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
189×add-sqr-sqrt
150×times-frac
103×*-un-lft-identity
92×sqrt-prod
75×add-cube-cbrt
66×associate-*r*
63×cbrt-prod
58×add-exp-log
43×add-cbrt-cube
28×difference-of-squares
24×prod-exp cbrt-unprod
17×associate-*l*
16×unswap-sqr
15×cbrt-undiv div-exp
14×distribute-lft-out--
13×pow1
9×associate-/r*
7×associate-*l/
6×frac-times associate-/l*
5×flip3-- pow-prod-down flip--
4×expm1-log1p-u sqrt-div associate-*r/ associate-/r/ log1p-expm1-u add-log-exp
3×flip3-+ *-commutative flip-+ div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 262
Calls
4 calls:
10.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand)))
20.0ms
(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand)
10.0ms
(/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))
34.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0)))))

series767.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand)))
269.0ms
(* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand)
109.0ms
(/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))
189.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013814127
150013825

prune942.0ms

Filtered
274 candidates to 202 candidates (73.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0)))))
0.5b
(* (+ (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (* (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (+ 1.0 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand))))
1.0b
(/ (sqrt 1.0) (sqrt 3.0))
1.0b
(/ (sqrt 1.0) (sqrt 3.0))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
167×add-sqr-sqrt
160×times-frac
134×sqrt-prod
109×*-un-lft-identity
95×add-cube-cbrt
61×associate-*r*
34×add-exp-log
33×cbrt-prod
29×frac-times
27×add-cbrt-cube
18×flip3-+ flip-+
15×associate-*r/ unswap-sqr
14×associate-*l*
12×associate-/r* associate-/l* difference-of-squares
11×pow1 prod-exp cbrt-unprod
10×flip3-- flip--
9×cbrt-undiv div-exp associate-*l/
6×distribute-lft-out--
4×distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down log1p-expm1-u div-inv add-log-exp
2×sqrt-undiv frac-2neg sqrt-div clear-num associate-/r/ *-commutative
1×distribute-lft-out
Counts
4 → 288
Calls
4 calls:
30.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0)))))
39.0ms
(* (+ (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (* (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (+ 1.0 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand))))
5.0ms
(/ (sqrt 1.0) (sqrt 3.0))
5.0ms
(/ (sqrt 1.0) (sqrt 3.0))

series1.4s

Counts
4 → 8
Calls
4 calls:
186.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0)))))
1.3s
(* (+ (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (* (- (sqrt a) (/ (sqrt 1.0) (sqrt 3.0))) (+ 1.0 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 9.0)) (/ (cbrt 1.0) (sqrt (- a (/ 1.0 3.0))))) rand))))
0.0ms
(/ (sqrt 1.0) (sqrt 3.0))
0.0ms
(/ (sqrt 1.0) (sqrt 3.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
296 → 296
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
016144994
150024680

prune1.4s

Filtered
296 candidates to 213 candidates (72.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes135.0ms

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
928.0ms27887×body80nan
325.0ms9133×body80valid