Details

Time bar (total: 10.1s)

sample69.0ms

Algorithm
intervals
Results
14.0ms529×pre80true
12.0ms140×body160valid
11.0ms273×body80nan
5.0ms116×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.8b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (* 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))
27.6b
(+ (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:
4.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(* (* 3.0 a) c)
12.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (* b b) (* (* 3.0 a) c))
27.0ms
(* (* 3.0 a) c)
169.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
102.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify56.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0417711
11922611
25001602

prune360.0ms

Filtered
85 candidates to 59 candidates (30.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New76985
Fresh000
Picked101
Done000
Total77986

Merged error: 0.5b

Counts
86 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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)
4.0ms
(* 3.0 (* a c))
11.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
18.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series652.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* 3.0 a) c)
24.0ms
(* 3.0 (* a c))
332.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
272.0ms
(/ (/ (+ 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 (93.0ms)

IterNodesCost
06282481
133222152
250022149

prune967.0ms

Filtered
169 candidates to 104 candidates (38.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New15712169
Fresh808
Picked101
Done000
Total16612178

Merged error: 0.0b

Counts
178 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 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)))))
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×associate-*r* pow-prod-down associate-/r/
4×div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg associate-*l* clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
5.0ms
(* (* 3.0 a) c)
14.0ms
(/ (+ 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))

series653.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* 3.0 a) c)
24.0ms
(* (* 3.0 a) c)
335.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
271.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify103.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
05712482
130602153
250032150

prune916.0ms

Filtered
169 candidates to 103 candidates (39.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1663169
Fresh5611
Picked011
Done000
Total17110181

Merged error: 0b

Counts
181 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
353×times-frac
264×add-sqr-sqrt
238×*-un-lft-identity
152×add-cube-cbrt
108×add-exp-log
88×associate-*r*
68×add-cbrt-cube
55×div-exp
42×distribute-lft-out-- difference-of-squares
30×cbrt-undiv
28×prod-exp
27×associate-*l* associate-/l*
21×distribute-rgt-neg-in sqrt-prod
18×cbrt-unprod
15×associate-/r/
13×div-inv
11×pow1
8×flip3-- flip-- unswap-sqr
6×add-log-exp
5×rec-exp 1-exp
4×pow-prod-down
3×associate-/r*
2×*-commutative
1×frac-times sub-neg frac-2neg diff-log associate-*r/ associate-*l/ clear-num associate-/l/
Counts
4 → 321
Calls
4 calls:
14.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
3.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(* (* 3.0 a) c)
56.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series559.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
53.0ms
(- (* b b) (* (* 3.0 a) c))
28.0ms
(* (* 3.0 a) c)
275.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify92.0ms

Algorithm
egg-herbie
Counts
333 → 333
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
015045275
150014597

prune2.5s

Filtered
333 candidates to 185 candidates (44.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3321333
Fresh268
Picked011
Done011
Total3349343

Merged error: 0b

Counts
343 → 9

regimes318.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01813
12013
22013

end0.0ms

sample2.1s

Algorithm
intervals
Results
597.0ms4508×body160valid
432.0ms16569×pre80true
368.0ms8569×body80nan
154.0ms3492×body80valid

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