Details

Time bar (total: 5.0s)

analyze567.0ms

Algorithm
search
sampling

Space saved by range analysis: 99.999783%

Space saved by search: 99.999887%

Guaranteed chance to sample good point: 88.012896%

sample37.0ms

Algorithm
intervals
Results
12.0ms135×body160valid
8.0ms276×pre80true
6.0ms121×body80valid
1.0ms20×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.5b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
26.4b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt
6×distribute-lft-out
5×times-frac associate-/l*
4×prod-exp cbrt-unprod
3×distribute-rgt-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 73
Calls
4 calls:
3.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(* (* 3.0 a) c)
13.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
4.0ms
(* (* 3.0 a) c)
26.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
16.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0417711
11922611
25001602

prune121.0ms

Filtered
59 candidates to 85 candidates (-44.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New80585
Fresh000
Picked101
Done000
Total81586

Merged error: 0.4b

Counts
86 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* a c))
0.4b
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×pow-prod-down associate-/r/
4×associate-*r* associate-*l* div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
5.0ms
(* 3.0 (* a c))
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
16.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series112.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (* 3.0 a) c)
4.0ms
(* 3.0 (* a c))
58.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
47.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify118.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
06282481
133222152
250022149

prune332.0ms

Filtered
104 candidates to 169 candidates (-62.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New15712169
Fresh404
Picked101
Done000
Total16212174

Merged error: 0.0b

Counts
174 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 3.0 (/ 3.0 (* a c)))
0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
221×times-frac
160×add-sqr-sqrt
134×*-un-lft-identity
108×add-exp-log
96×add-cube-cbrt
88×associate-*r*
72×add-cbrt-cube
54×div-exp
32×cbrt-undiv
29×prod-exp
27×associate-*l*
19×cbrt-unprod
18×distribute-lft-out-- difference-of-squares
13×div-inv
11×pow1
9×distribute-rgt-neg-in sqrt-prod
8×associate-/r/ unswap-sqr
7×associate-/r*
6×add-log-exp
4×rec-exp flip3-- 1-exp pow-prod-down flip--
3×associate-/l*
2×*-commutative
1×frac-times sub-neg frac-2neg diff-log associate-*r/ associate-*l/ clear-num
Counts
4 → 241
Calls
4 calls:
6.0ms
(/ 3.0 (/ 3.0 (* a c)))
3.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(* (* 3.0 a) c)
54.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series65.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 3.0 (/ 3.0 (* a c)))
9.0ms
(- (* b b) (* (* 3.0 a) c))
4.0ms
(* (* 3.0 a) c)
49.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify57.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
013843174
150012500

prune415.0ms

Filtered
156 candidates to 253 candidates (-62.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2494253
Fresh5611
Picked011
Done000
Total25411265

Merged error: 0b

Counts
265 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* (/ (sqrt 3.0) (/ (sqrt 3.0) a)) (/ (* c 1) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
0.3b
(/ (sqrt 3.0) a)
0.3b
(/ (sqrt 3.0) (/ (sqrt 3.0) a))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
527×times-frac
305×add-sqr-sqrt
281×add-cube-cbrt *-un-lft-identity
269×sqrt-prod
138×associate-*l*
112×add-exp-log
85×add-cbrt-cube
45×prod-exp
43×div-exp
31×cbrt-undiv
30×cbrt-unprod
25×associate-/r*
17×div-inv
12×associate-/l*
11×pow1
10×associate-*r*
7×unswap-sqr
6×1-exp
4×pow-prod-down associate-/r/ add-log-exp
3×associate-*r/
2×frac-2neg clear-num *-commutative
1×frac-times flip3-- associate-*l/ flip--
Counts
4 → 431
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
44.0ms
(* (/ (sqrt 3.0) (/ (sqrt 3.0) a)) (/ (* c 1) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
4.0ms
(/ (sqrt 3.0) a)
9.0ms
(/ (sqrt 3.0) (/ (sqrt 3.0) a))

series58.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (* 3.0 a) c)
48.0ms
(* (/ (sqrt 3.0) (/ (sqrt 3.0) a)) (/ (* c 1) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))))
4.0ms
(/ (sqrt 3.0) a)
2.0ms
(/ (sqrt 3.0) (/ (sqrt 3.0) a))

simplify76.0ms

Algorithm
egg-herbie
Counts
443 → 443
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014185705
150014555

prune779.0ms

Filtered
239 candidates to 443 candidates (-85.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New4403443
Fresh639
Picked011
Done011
Total4468454

Merged error: 0b

Counts
454 → 8

regimes194.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02615
13015
23015

end0.0ms

analyze575.0ms

Algorithm
search
sampling

Space saved by range analysis: 99.999783%

Space saved by search: 99.999887%

Guaranteed chance to sample good point: 88.012896%

sample1.1s

Algorithm
intervals
Results
429.0ms4501×body160valid
245.0ms8611×pre80true
174.0ms3499×body80valid
28.0ms611×body80nan

Profiling

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