Details

Time bar (total: 7.3s)

sample95.0ms

Algorithm
intervals
Results
40.0ms709×body80nan
17.0ms295×body80valid

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02710
17210
219210
343710
481610
5157810
6276410
7500210

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

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))))

rewrite83.0ms

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:
27.0ms
(* (- 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)
8.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series508.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
177.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
141.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
76.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify89.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
08231338
136071238
250021238

prune377.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 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
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
0.2b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.3b
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
104×add-sqr-sqrt
82×times-frac
70×*-un-lft-identity
61×associate-*l*
54×add-cube-cbrt
52×add-exp-log sqrt-prod
34×add-cbrt-cube
23×prod-exp
16×difference-of-squares
13×pow1 cbrt-unprod
12×div-exp
9×associate-/r*
8×distribute-lft-out--
7×cbrt-undiv associate-*r*
6×associate-*l/
5×frac-times flip3-- pow-prod-down flip--
4×sqrt-div associate-/r/ add-log-exp unswap-sqr
3×rec-exp flip3-+ 1-exp associate-*r/ *-commutative flip-+ div-inv associate-/l*
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 191
Calls
4 calls:
30.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))))
34.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
13.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
44.0ms
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

series598.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))))
150.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
79.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
216.0ms
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

simplify46.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010862160
150011926

prune620.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
0.2b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.3b
(/ (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)) (sqrt 9.0))
8.3b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
70×times-frac
60×*-un-lft-identity
49×sqrt-prod
44×add-cube-cbrt
39×associate-*l*
34×add-exp-log add-cbrt-cube
16×difference-of-squares
15×associate-/r*
12×prod-exp cbrt-unprod
11×pow1 associate-*l/
8×cbrt-undiv div-exp distribute-lft-out--
6×flip3-- flip--
5×associate-/l/
4×frac-times sqrt-div associate-*r* pow-prod-down associate-/r/ associate-/l* add-log-exp
3×div-inv unswap-sqr
2×frac-2neg associate-*r/ clear-num *-commutative
Counts
4 → 170
Calls
4 calls:
35.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
12.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
41.0ms
(/ (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)) (sqrt 9.0))
55.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

series560.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
75.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
205.0ms
(/ (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)) (sqrt 9.0))
122.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

simplify102.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
09061837
138411609
250011589

prune528.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
0.2b
(/ (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0))
0.2b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
8.4b
(* (- a (/ 1.0 3.0)) (/ (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
97×add-sqr-sqrt
76×times-frac
63×*-un-lft-identity
52×sqrt-prod
47×add-cube-cbrt
39×associate-*l*
34×add-exp-log add-cbrt-cube
16×difference-of-squares
15×associate-/r*
13×associate-*r*
10×cbrt-undiv div-exp prod-exp cbrt-unprod
8×pow1 distribute-lft-out--
4×flip3-- sqrt-div associate-*l/ associate-/r/ flip-- div-inv associate-/l* add-log-exp unswap-sqr
2×frac-times frac-2neg pow-prod-down clear-num *-commutative
1×associate-*r/ associate-/l/
Counts
4 → 175
Calls
4 calls:
34.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
14.0ms
(/ (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0))
13.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
59.0ms
(* (- a (/ 1.0 3.0)) (/ (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0)))

series656.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
216.0ms
(/ (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0))
81.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
204.0ms
(* (- a (/ 1.0 3.0)) (/ (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand) (sqrt 9.0)))

simplify98.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09151889
140821677
250021655

prune493.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes61.0ms

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

sample1.8s

Algorithm
intervals
Results
887.0ms27759×body80nan
324.0ms9179×body80valid