Details

Time bar (total: 5.1s)

sample63.0ms

Algorithm
intervals
Results
14.0ms538×pre80true
13.0ms160×body160valid
11.0ms282×body80nan
4.0ms37×body320valid
3.0ms59×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 42.7b

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)
0.3b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
37.9b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite33.0ms

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)
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
12.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series247.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
103.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
79.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify58.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0419716
11930613
25002608

prune164.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh000
Picked101
Done000
Total80686

Merged error: 0.3b

Counts
86 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

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)
5.0ms
(* 3.0 (* a c))
25.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
29.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series322.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
19.0ms
(* 3.0 (* a c))
161.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
123.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify119.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
06843098
133092567
250012533

prune399.0ms

Filtered
171 candidates to 106 candidates (62.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1638171
Fresh415
Picked011
Done000
Total16710177

Merged error: 0.0b

Counts
177 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
64×add-sqr-sqrt *-un-lft-identity
37×add-exp-log add-cbrt-cube
32×add-cube-cbrt
16×distribute-lft-out-- difference-of-squares
14×pow1
12×prod-exp cbrt-unprod
10×cbrt-undiv div-exp associate-/r* div-inv
8×distribute-rgt-neg-in sqrt-prod associate-/l*
6×pow-prod-down
4×associate-*r* associate-*l* add-log-exp
2×frac-2neg clear-num associate-/r/ *-commutative
1×flip3-- flip-- associate-/l/
Counts
4 → 143
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
6.0ms
(/ (* 3.0 (* a c)) 3.0)
5.0ms
(* 3.0 (* a c))
18.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series242.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* 3.0 a) c)
19.0ms
(/ (* 3.0 (* a c)) 3.0)
19.0ms
(* 3.0 (* a c))
180.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify87.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
05841858
130261667
250011653

prune314.0ms

Filtered
155 candidates to 92 candidates (59.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1523155
Fresh268
Picked101
Done011
Total15510165

Merged error: 0b

Counts
165 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
65×add-sqr-sqrt *-un-lft-identity
37×add-exp-log add-cbrt-cube
33×add-cube-cbrt
23×pow1
16×distribute-lft-out-- difference-of-squares
15×prod-exp cbrt-unprod
14×sqrt-prod
13×associate-*r*
12×pow-prod-down
9×div-inv
8×distribute-rgt-neg-in
7×cbrt-undiv div-exp associate-/r* associate-/l*
5×associate-*l*
4×add-log-exp
3×*-commutative
2×associate-/r/
1×flip3-- frac-2neg clear-num flip-- associate-/l/
Counts
4 → 147
Calls
4 calls:
5.0ms
(* 3.0 (* a c))
18.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (neg b) (sqrt (- (* b b) (* (* (* 3.0 a) (sqrt c)) (sqrt c))))))
10.0ms
(* (* (* 3.0 a) (sqrt c)) (sqrt c))
6.0ms
(* (* 3.0 a) (sqrt c))

series489.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* 3.0 (* a c))
373.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (neg b) (sqrt (- (* b b) (* (* (* 3.0 a) (sqrt c)) (sqrt c))))))
39.0ms
(* (* (* 3.0 a) (sqrt c)) (sqrt c))
58.0ms
(* (* 3.0 a) (sqrt c))

simplify111.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07122297
139222064
250012064

prune286.0ms

Filtered
159 candidates to 90 candidates (56.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1590159
Fresh088
Picked011
Done011
Total15910169

Merged error: 0b

Counts
169 → 10

regimes127.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02315
12315

end0.0ms

sample1.8s

Algorithm
intervals
Results
452.0ms16425×pre80true
415.0ms4859×body160valid
360.0ms8425×body80nan
168.0ms1312×body320valid
82.0ms1829×body80valid

Profiling

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