Details

Time bar (total: 6.4s)

sample71.0ms

Algorithm
intervals
Results
31.0ms928×body80nan
13.0ms296×body80valid

simplify93.0ms

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)))
0.2b
(* (/ 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))))

rewrite48.0ms

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:
10.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
14.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
10.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series533.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
191.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
150.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
72.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify86.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
08231338
136071238
250021238

prune365.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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))))
6.9b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×times-frac
25×*-un-lft-identity
24×associate-*l*
23×add-cube-cbrt
20×add-exp-log add-cbrt-cube
14×pow1
8×sqrt-prod
7×associate-*r/ prod-exp cbrt-unprod
6×sqrt-div associate-*l/
5×flip3-- pow-prod-down flip--
4×associate-*r* associate-/r* associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×frac-times sqrt-pow1 *-commutative div-inv difference-of-squares unswap-sqr
1×frac-2neg pow1/2 clear-num distribute-lft-out--
Counts
4 → 111
Calls
4 calls:
14.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
10.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
8.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
24.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series594.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
150.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
86.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
172.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify73.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
07541232
130481085
250011085

prune365.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×times-frac
25×*-un-lft-identity
23×add-cube-cbrt
21×associate-*r*
20×add-exp-log add-cbrt-cube
14×pow1
9×associate-*l/
8×associate-*r/ sqrt-prod
7×flip3-- associate-*l* prod-exp flip-- cbrt-unprod
6×sqrt-div
5×pow-prod-down
4×frac-times associate-/r* associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×sqrt-pow1 *-commutative div-inv difference-of-squares unswap-sqr
1×frac-2neg pow1/2 clear-num distribute-lft-out--
Counts
4 → 115
Calls
4 calls:
20.0ms
(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
24.0ms
(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
10.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series535.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
168.0ms
(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
159.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
79.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify90.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07271338
132531177
250011177

prune412.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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))))
6.9b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×times-frac
25×*-un-lft-identity
24×associate-*l*
23×add-cube-cbrt
20×add-exp-log add-cbrt-cube
14×pow1
8×sqrt-prod
7×associate-*r/ prod-exp cbrt-unprod
6×sqrt-div associate-*l/
5×flip3-- pow-prod-down flip--
4×associate-*r* associate-/r* associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×frac-times sqrt-pow1 *-commutative div-inv difference-of-squares unswap-sqr
1×frac-2neg pow1/2 clear-num distribute-lft-out--
Counts
4 → 111
Calls
4 calls:
14.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
10.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
19.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series586.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
151.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
77.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
167.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify72.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
07541232
130481085
250011085

prune345.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01913
11913

end0.0ms

sample1.8s

Algorithm
intervals
Results
873.0ms27467×body80nan
308.0ms9179×body80valid