Details

Time bar (total: 4.8s)

analyze563.0ms

Algorithm
search
sampling

Space saved by range analysis: 99.986905%

Space saved by search: 99.993146%

Guaranteed chance to sample good point: 88.065532%

sample48.0ms

Algorithm
intervals
Results
16.0ms112×body320valid
9.0ms97×body160valid
8.0ms275×pre80true
3.0ms17×body640valid
1.0ms30×body80valid
1.0ms19×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: 52.8b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.2b
(* (* 3.0 a) c)
28.1b
(+ (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))
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(* (* 3.0 a) c)
10.0ms
(+ (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))
26.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
4.0ms
(* (* 3.0 a) c)
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
25002602

prune128.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh000
Picked101
Done000
Total80686

Merged error: 0.1b

Counts
86 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* 3.0 (* a c))
0.3b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite46.0ms

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)
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* 3.0 (* a c))
16.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series110.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (* 3.0 a) c)
59.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
4.0ms
(* 3.0 (* a c))
44.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify115.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
06282481
133222152
250022149

prune274.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1636169
Fresh325
Picked101
Done000
Total1678175

Merged error: 0.0b

Counts
175 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
389×times-frac
281×add-sqr-sqrt
255×*-un-lft-identity
169×add-cube-cbrt
117×add-exp-log
85×associate-*r*
77×add-cbrt-cube
62×div-exp
42×distribute-lft-out-- difference-of-squares
37×cbrt-undiv
33×associate-/l*
27×prod-exp
26×associate-*l*
21×distribute-rgt-neg-in sqrt-prod
19×div-inv
17×cbrt-unprod
16×associate-/r/
11×associate-/r*
8×unswap-sqr
7×flip3-- flip--
6×pow1
5×rec-exp 1-exp
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 360
Calls
4 calls:
4.0ms
(/ 3.0 (* a c))
16.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
6.0ms
(/ 3.0 (/ 3.0 (* a c)))
51.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series93.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 3.0 (* a c))
35.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
4.0ms
(/ 3.0 (/ 3.0 (* a c)))
51.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify78.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014665419
150014625

prune605.0ms

Filtered
216 candidates to 372 candidates (-72.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3684372
Fresh437
Picked101
Done000
Total3737380

Merged error: 0.0b

Counts
380 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (* a c) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×pow1 *-un-lft-identity
10×associate-*r*
8×prod-exp cbrt-unprod
7×add-cube-cbrt
6×add-log-exp
4×cbrt-undiv associate-*r/ div-exp associate-*l* pow-prod-down
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-/r/ *-commutative distribute-lft-out-- difference-of-squares
1×distribute-rgt-neg-in frac-2neg times-frac diff-log clear-num associate-/r* sqrt-prod div-inv associate-/l* unswap-sqr
Counts
4 → 81
Calls
4 calls:
10.0ms
(* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(* (* 3.0 a) c)
12.0ms
(/ (* a c) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series86.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
9.0ms
(- (* b b) (* (* 3.0 a) c))
4.0ms
(* (* 3.0 a) c)
46.0ms
(/ (* a c) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify74.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0442827
12571641
25001631

prune115.0ms

Filtered
59 candidates to 93 candidates (-57.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New91293
Fresh426
Picked101
Done000
Total964100

Merged error: 0.0b

Counts
100 → 4

regimes191.0ms

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
0208
1228
2228

end0.0ms

analyze557.0ms

Algorithm
search
sampling

Space saved by range analysis: 99.986905%

Space saved by search: 99.993146%

Guaranteed chance to sample good point: 88.065532%

sample1.4s

Algorithm
intervals
Results
510.0ms3670×body320valid
283.0ms2982×body160valid
247.0ms8419×pre80true
93.0ms495×body640valid
43.0ms853×body80valid
19.0ms419×body80nan

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