Details

Time bar (total: 5.1s)

sample603.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 99.993146%

Space saved by search: 99.986905%

Guaranteed chance to sample good point: 0%

Results
17.0ms124×body320valid
9.0ms94×body160valid
8.0ms267×pre80true
3.0ms14×body640valid
1.0ms24×body80valid
1.0ms11×body80nan

simplify9.0ms

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: 53.7b

Counts
2 → 1

localize12.0ms

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)
24.6b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite29.0ms

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))
12.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(* (* 3.0 a) c)
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series56.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(- (* b b) (* (* 3.0 a) c))
26.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
3.0ms
(* (* 3.0 a) c)
15.0ms
(+ (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

prune118.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New81485
Fresh000
Picked101
Done000
Total82486

Merged error: 0.1b

Counts
86 → 4

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))
0.4b
(/ (/ (+ 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))

series109.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
58.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(* 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 (93.0ms)

IterNodesCost
06282481
133222152
250022149

prune271.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1627169
Fresh213
Picked011
Done000
Total1649173

Merged error: 0b

Counts
173 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

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))
6.0ms
(/ 3.0 (/ 3.0 (* a c)))
17.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
55.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series90.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 3.0 (* a c))
4.0ms
(/ 3.0 (/ 3.0 (* a c)))
35.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
48.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify79.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014665419
150014625

prune604.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3693372
Fresh347
Picked101
Done101
Total3747381

Merged error: 0b

Counts
381 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.4b
(* (* a c) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
309×times-frac
226×add-sqr-sqrt *-un-lft-identity
138×add-cube-cbrt
88×associate-*r*
53×add-exp-log
44×distribute-lft-out-- difference-of-squares
35×add-cbrt-cube
27×associate-/l*
22×distribute-rgt-neg-in sqrt-prod
18×div-exp prod-exp
14×pow1 associate-/r/
12×cbrt-unprod
9×cbrt-undiv div-inv
8×flip3-- flip-- add-log-exp
6×pow-prod-down
3×rec-exp 1-exp associate-/r*
2×diff-log associate-*l* *-commutative
1×associate--l- neg-sub0 sub-neg frac-2neg associate-*r/ neg-log clear-num associate-/l/
Counts
4 → 277
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
7.0ms
(* (* 3.0 a) c)
15.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
27.0ms
(* (* a c) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series100.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
3.0ms
(* (* 3.0 a) c)
39.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
42.0ms
(* (* a c) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify81.0ms

Algorithm
egg-herbie
Counts
289 → 289
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
010994139
150013708

prune372.0ms

Filtered
156 candidates to 289 candidates (-85.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2872289
Fresh246
Picked011
Done000
Total2897296

Merged error: 0b

Counts
296 → 7

regimes173.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01810
11810

end0.0ms

sample1.9s

Algorithm
intervals
sampling

Space saved by range analysis: 99.993146%

Space saved by search: 99.986905%

Guaranteed chance to sample good point: 0%

Results
518.0ms3675×body320valid
280.0ms2912×body160valid
241.0ms8401×pre80true
101.0ms530×body640valid
43.0ms883×body80valid
19.0ms401×body80nan

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