Details

Time bar (total: 5.8s)

sample67.0ms

Algorithm
intervals
Results
14.0ms509×pre80true
14.0ms111×body320valid
11.0ms253×body80nan
8.0ms97×body160valid
3.0ms19×body640valid
1.0ms29×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 51.7b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
25.3b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite31.0ms

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:
4.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(* (* 3.0 a) c)
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series254.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* b b) (* (* 3.0 a) c))
106.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms
(* (* 3.0 a) c)
81.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0419716
11930613
25002608

prune162.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New81485
Fresh000
Picked101
Done000
Total82486

Merged error: 0.1b

Counts
86 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* 3.0 (* a c))
0.4b
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite76.0ms

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-- div-sub flip-- associate-/l/
2×associate-+l- frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
26.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* 3.0 (* a c))
30.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series331.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* 3.0 a) c)
165.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms
(* 3.0 (* a c))
126.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify116.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
06843100
133072567
250012533

prune391.0ms

Filtered
171 candidates to 107 candidates (62.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1656171
Fresh213
Picked011
Done000
Total1678175

Merged error: 0.0b

Counts
175 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
518×times-frac
318×add-sqr-sqrt *-un-lft-identity
174×add-cube-cbrt
72×distribute-lft-out-- difference-of-squares
62×associate-/l*
48×add-exp-log add-cbrt-cube
42×div-inv
36×distribute-rgt-neg-in sqrt-prod
19×cbrt-undiv div-exp
14×pow1
12×prod-exp cbrt-unprod
10×associate-/r* associate-/r/
6×pow-prod-down
5×flip3-- flip--
4×associate-*r* associate-*l* add-log-exp
2×frac-2neg clear-num *-commutative associate-/l/
Counts
4 → 364
Calls
4 calls:
24.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
18.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* (* 3.0 a) c)
5.0ms
(* 3.0 (* a c))

series378.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
179.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
20.0ms
(* (* 3.0 a) c)
26.0ms
(* 3.0 (* a c))

simplify87.0ms

Algorithm
egg-herbie
Counts
376 → 376
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012267115
150016759

prune767.0ms

Filtered
376 candidates to 217 candidates (57.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New3742376
Fresh246
Picked011
Done011
Total3768384

Merged error: 0b

Counts
384 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
136×add-sqr-sqrt
121×*-un-lft-identity
113×add-exp-log
73×add-cbrt-cube
59×add-cube-cbrt associate-*r*
45×div-exp
41×prod-exp
30×distribute-lft-out-- difference-of-squares
26×cbrt-undiv
25×cbrt-unprod
18×div-inv
17×associate-*l*
16×pow1
15×distribute-rgt-neg-in sqrt-prod
7×pow-prod-down associate-/r* associate-/l*
6×unswap-sqr
5×rec-exp 1-exp
4×associate-/r/ add-log-exp
3×*-commutative
2×flip3-- flip--
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/l/
Counts
4 → 236
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
15.0ms
(/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* 3.0 (* a c))
36.0ms
(* (/ 1 3.0) (/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series339.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
149.0ms
(/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms
(* 3.0 (* a c))
151.0ms
(* (/ 1 3.0) (/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify61.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010233615
150013062

prune429.0ms

Filtered
248 candidates to 135 candidates (54.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2462248
Fresh235
Picked011
Done112
Total2497256

Merged error: 0b

Counts
256 → 7

regimes89.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02210
12410
22410

end0.0ms

sample2.0s

Algorithm
intervals
Results
469.0ms3670×body320valid
445.0ms15934×pre80true
340.0ms7934×body80nan
252.0ms2941×body160valid
82.0ms488×body640valid
40.0ms901×body80valid

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