Details

Time bar (total: 8.0s)

sample101.0ms

Algorithm
intervals
Results
45.0ms972×body80nan
14.0ms301×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219210
343710
481610
5157810
6276410
7500210

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

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)))))
0.2b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.8b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite225.0ms

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:
55.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
31.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
114.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
21.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series547.0ms

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)))
151.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
201.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
71.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify97.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
08231338
136091238
250011238

prune406.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)))))

rewrite275.0ms

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×rec-exp sqrt-div 1-exp associate-*r/ associate-/r/ add-log-exp
3×flip3-+ *-commutative flip-+ div-inv associate-/l*
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 209
Calls
4 calls:
52.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)))
105.0ms
(* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
23.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
83.0ms
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

series671.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)))
226.0ms
(* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
84.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
196.0ms
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011782554
150022254

prune634.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
20×add-exp-log add-cbrt-cube
18×*-un-lft-identity
13×associate-*r* sqrt-prod
12×associate-*l*
10×pow1 add-cube-cbrt
6×associate-*r/ prod-exp cbrt-unprod add-log-exp
5×flip3-- flip-- unswap-sqr
4×cbrt-undiv frac-times flip3-+ sqrt-div div-exp pow-prod-down flip-+ difference-of-squares
3×times-frac
2×sqrt-pow1 pow1/2 associate-*l/ associate-/r/ *-commutative distribute-lft-out distribute-lft-out--
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in sqrt-unprod clear-num associate-/r* sum-log div-inv associate-/l*
Counts
4 → 102
Calls
4 calls:
16.0ms
(+ 1.0 (/ (* rand 1.0) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))
95.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* rand 1.0) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))))
27.0ms
(/ (* rand 1.0) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
52.0ms
(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

series783.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(+ 1.0 (/ (* rand 1.0) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))))
155.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* rand 1.0) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))))
387.0ms
(/ (* rand 1.0) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
92.0ms
(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

simplify102.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
07431334
139121223
250011219

prune336.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* rand 1.0)))))
0.2b
(/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* rand 1.0))
0.2b
(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
0.8b
(/ 1 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* rand 1.0)))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log
40×add-sqr-sqrt
38×add-cbrt-cube
27×*-un-lft-identity
26×div-exp
22×times-frac
20×add-cube-cbrt
18×prod-exp
14×associate-*r*
13×cbrt-undiv sqrt-prod
12×associate-*l*
11×pow1
10×cbrt-unprod
7×div-inv
6×associate-*r/ associate-/r*
5×rec-exp flip3-- 1-exp flip-- unswap-sqr
4×frac-times sqrt-div pow-prod-down associate-/l* add-log-exp difference-of-squares
3×flip3-+ flip-+
2×frac-2neg sqrt-pow1 pow1/2 associate-*l/ clear-num *-commutative associate-/l/ distribute-lft-out distribute-lft-out--
1×distribute-rgt-in pow-flip distribute-lft-in sqrt-unprod associate-/r/ inv-pow
Counts
4 → 147
Calls
4 calls:
100.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* rand 1.0)))))
26.0ms
(/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* rand 1.0))
49.0ms
(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
45.0ms
(/ 1 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* rand 1.0)))

series672.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* rand 1.0)))))
200.0ms
(/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* rand 1.0))
89.0ms
(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))
221.0ms
(/ 1 (/ (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))) (* rand 1.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09561875
150011672

prune355.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes158.0ms

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
01914
11914

end0.0ms

sample2.0s

Algorithm
intervals
Results
888.0ms27445×body80nan
319.0ms9072×body80valid