Details

Time bar (total: 7.2s)

sample74.0ms

Algorithm
intervals
Results
33.0ms1115×body80nan
12.0ms297×body80valid

simplify89.0ms

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

rewrite82.0ms

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)))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
36.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series542.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
77.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
185.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
145.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify91.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08231338
136071238
250021238

prune372.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize12.0ms

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

rewrite131.0ms

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))))
13.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
35.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
44.0ms
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

series629.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))))
81.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
157.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
235.0ms
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

simplify45.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010862160
150011926

prune544.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
163×times-frac
126×add-sqr-sqrt
102×sqrt-prod
86×*-un-lft-identity
58×add-cube-cbrt
26×difference-of-squares
14×add-exp-log add-cbrt-cube
13×distribute-lft-out--
11×div-inv
10×associate-/l*
9×associate-/r*
6×pow1 associate-*l*
5×cbrt-undiv flip3-- div-exp flip--
4×frac-times sqrt-div associate-*r*
3×flip3-+ flip-+ add-log-exp
2×associate-*r/ associate-*l/ prod-exp associate-/r/ cbrt-unprod
1×distribute-rgt-in rem-sqrt-square frac-2neg distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down clear-num *-commutative associate-/l/ distribute-lft-out unswap-sqr
Counts
3 → 178
Calls
3 calls:
10.0ms
(sqrt (- a (/ 1.0 3.0)))
206.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
22.0ms
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series521.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(sqrt (- a (/ 1.0 3.0)))
188.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
289.0ms
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify126.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
09882523
144182362
250012362

prune482.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.2b
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
0.5b
(/ (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)) (sqrt 9.0))
5.6b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

rewrite154.0ms

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:
13.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
37.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
40.0ms
(/ (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)) (sqrt 9.0))
56.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

series583.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
166.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
205.0ms
(/ (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)) (sqrt 9.0))
126.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

simplify100.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09061837
138411609
250011589

prune495.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes63.0ms

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
01711
11711

end0.0ms

sample1.8s

Algorithm
intervals
Results
869.0ms28285×body80nan
310.0ms9207×body80valid