Details

Time bar (total: 7.9s)

sample109.0ms

Algorithm
intervals
Results
59.0ms953×body80nan
22.0ms298×body80valid

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219210
343710
481610
5157810
6276410
7500210

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)))))
0.4b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite85.0ms

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:
28.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
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)))))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series526.0ms

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)))
183.0ms
(* (/ 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))))

simplify88.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
08231338
136071238
250021238

prune376.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

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)))))
0.4b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
16×*-un-lft-identity
13×add-exp-log add-cbrt-cube
11×pow1
10×add-cube-cbrt associate-*r*
9×associate-*l*
8×associate-*r/
6×flip3-- times-frac flip--
4×frac-times sqrt-div associate-/r* add-log-exp difference-of-squares
3×distribute-rgt-in distribute-lft-in 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 div-inv distribute-lft-out associate-/l*
Counts
4 → 97
Calls
4 calls:
25.0ms
(* 9.0 (- a (/ 1.0 3.0)))
49.0ms
(* (- 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)))))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series434.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 9.0 (- a (/ 1.0 3.0)))
120.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
195.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
75.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify79.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
07441044
13484958
25001958

prune309.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9.0 (- a (/ 1.0 3.0)))
0.2b
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
7.8b
(* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×add-exp-log add-cbrt-cube
16×associate-*r*
15×*-un-lft-identity
11×pow1 add-cube-cbrt
10×times-frac
9×associate-*r/ associate-*l*
6×flip3-- sqrt-div prod-exp flip-- cbrt-unprod
4×cbrt-undiv div-exp associate-/r* sqrt-prod associate-/r/ add-log-exp difference-of-squares
3×pow-prod-down
2×distribute-rgt-in frac-times sub-neg distribute-lft-in sqrt-pow1 associate-*l/ *-commutative div-inv distribute-lft-out-- unswap-sqr
1×frac-2neg pow1/2 clear-num associate-/l*
Counts
4 → 102
Calls
4 calls:
23.0ms
(* 9.0 (- a (/ 1.0 3.0)))
10.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
53.0ms
(* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

series479.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 9.0 (- a (/ 1.0 3.0)))
195.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
75.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
164.0ms
(* (- a (/ 1.0 3.0)) (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

simplify74.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06971023
13246897
25001897

prune320.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.0b
(+ (* (- a (/ 1.0 3.0)) 1.0) (* (- a (/ 1.0 3.0)) (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
0.3b
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))
7.8b
(* (- a (/ 1.0 3.0)) (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
319×times-frac
230×add-sqr-sqrt
190×sqrt-prod
152×*-un-lft-identity
106×add-cube-cbrt
96×associate-*r*
46×difference-of-squares
27×add-exp-log add-cbrt-cube
23×distribute-lft-out--
21×div-inv
16×associate-*l/
14×flip3-- flip--
10×cbrt-undiv div-exp frac-add associate-/l*
9×associate-/r*
7×pow1
6×frac-times sqrt-div associate-*l* prod-exp cbrt-unprod add-log-exp
4×associate-/r/
3×associate-*r/ unswap-sqr
1×+-commutative rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 pow-prod-down clear-num sum-log *-commutative flip-+ associate-/l/ distribute-lft-out
Counts
4 → 295
Calls
4 calls:
11.0ms
(sqrt (- a (/ 1.0 3.0)))
11.0ms
(+ (* (- a (/ 1.0 3.0)) 1.0) (* (- a (/ 1.0 3.0)) (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
19.0ms
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))
85.0ms
(* (- a (/ 1.0 3.0)) (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))

series660.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sqrt (- a (/ 1.0 3.0)))
178.0ms
(+ (* (- a (/ 1.0 3.0)) 1.0) (* (- a (/ 1.0 3.0)) (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
239.0ms
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))
205.0ms
(* (- a (/ 1.0 3.0)) (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
307 → 307
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
013984194
150013889

prune769.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes69.0ms

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
02119
12119

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.6s27498×body80nan
672.0ms9124×body80valid