Details

Time bar (total: 6.9s)

sample75.0ms

Algorithm
intervals
Results
27.0ms926×body80nan
13.0ms299×body80valid

simplify108.0ms

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: 0.2b

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)))
0.1b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)

rewrite141.0ms

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:
47.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
11.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
17.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
62.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)

series539.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
75.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
142.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
197.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)

simplify97.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08231338
136091238
250011238

prune359.0ms

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

rewrite156.0ms

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:
36.0ms
(* 9.0 (- a (/ 1.0 3.0)))
86.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
11.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
20.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series498.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* 9.0 (- a (/ 1.0 3.0)))
133.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
71.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
252.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify92.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07441044
13484958
25001958

prune483.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite223.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1
23×add-exp-log
18×add-sqr-sqrt
17×pow-prod-down
16×add-cbrt-cube
14×associate-*r/
11×*-un-lft-identity
10×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
9×add-cube-cbrt
7×associate-*r* associate-*l*
6×sub-neg
5×sqrt-pow1 times-frac
4×cbrt-prod flip3-- sqrt-div associate-/r* flip-- add-log-exp
3×sqrt-prod
2×cbrt-undiv div-exp associate-/r/ *-commutative difference-of-squares unswap-sqr
1×frac-2neg pow1/2 clear-num div-inv associate-/l* distribute-lft-out--
Counts
4 → 104
Calls
4 calls:
41.0ms
(* (cbrt 9.0) (- a (/ 1.0 3.0)))
52.0ms
(sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0)))))
62.0ms
(/ (* 1.0 rand) (sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0))))))
64.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0))))

series509.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (cbrt 9.0) (- a (/ 1.0 3.0)))
83.0ms
(sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0)))))
223.0ms
(/ (* 1.0 rand) (sqrt (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0))))))
122.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (- a (/ 1.0 3.0))))

simplify72.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05801181
12638959
25001911

prune266.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

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))))
0.1b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b
(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand)
1.1b
(/ 1.0 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
109×times-frac
71×add-sqr-sqrt
68×*-un-lft-identity
64×add-cube-cbrt
19×associate-/r*
17×sqrt-prod
13×add-exp-log add-cbrt-cube
9×pow1
7×associate-/l*
6×associate-*r/ associate-*l* div-inv
5×flip3-- flip--
4×cbrt-undiv frac-times sqrt-div div-exp associate-*r* add-log-exp
3×flip3-+ flip-+
2×frac-2neg sqrt-pow1 pow-prod-down associate-*l/ clear-num associate-/l/ difference-of-squares
1×distribute-rgt-in distribute-lft-in pow1/2 prod-exp associate-/r/ *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- unswap-sqr
Counts
4 → 160
Calls
4 calls:
121.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1.0 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand))))
11.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
16.0ms
(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand)
21.0ms
(/ 1.0 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand))

series526.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1.0 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand))))
73.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
153.0ms
(/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand)
178.0ms
(/ 1.0 (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) rand))

simplify126.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010382042
146871935
250011935

prune477.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes74.0ms

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
02115
12115

end0.0ms

sample1.9s

Algorithm
intervals
Results
804.0ms26636×body80nan
299.0ms9118×body80valid