Details

Time bar (total: 4.3s)

sample82.0ms

Algorithm
intervals
Results
19.0ms564×pre80true
15.0ms308×body80nan
14.0ms141×body160valid
8.0ms54×body320valid
3.0ms61×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune3.0ms

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: 44.2b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* 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))
38.1b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
pow1
add-sqr-sqrt add-cube-cbrt
distribute-lft-out
times-frac associate-/l*
prod-exp cbrt-unprod
distribute-rgt-neg-in associate-*r* pow-prod-down
cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
+-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)
14.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
4.0ms
(* (* 3.0 a) c)
25.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
15.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify54.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0417711
11922611
25001602

prune123.0ms

Filtered
85 candidates to 59 candidates (30.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New80585
Fresh000
Picked101
Done000
Total81586

Merged error: 0.2b

Counts
86 → 5

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
prod-exp associate-/r* cbrt-unprod
cbrt-undiv div-exp
pow-prod-down associate-/r/
associate-*r* associate-*l* div-inv add-log-exp
flip3-- flip-- associate-/l/
frac-2neg clear-num *-commutative
flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
5.0ms
(* 3.0 (* a c))
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
17.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series112.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
3.0ms
(* 3.0 (* a c))
58.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
47.0ms
(/ (/ (+ 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

prune285.0ms

Filtered
169 candidates to 104 candidates (38.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New15910169
Fresh314
Picked101
Done000
Total16311174

Merged error: 0.0b

Counts
174 → 11

localize12.0ms

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))

rewrite47.0ms

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
prod-exp associate-/r* cbrt-unprod
cbrt-undiv div-exp
associate-*r* pow-prod-down associate-/r/
div-inv add-log-exp
flip3-- flip-- associate-/l/
frac-2neg associate-*l* clear-num *-commutative
flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
5.0ms
(* (* 3.0 a) c)
12.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms
(/ (/ (+ 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:
3.0ms
(* (* 3.0 a) c)
4.0ms
(* (* 3.0 a) c)
55.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
48.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify109.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
05712482
130602153
250032150

prune262.0ms

Filtered
169 candidates to 102 candidates (39.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1654169
Fresh7310
Picked011
Done000
Total1728180

Merged error: 0b

Counts
180 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
16×pow1 prod-exp cbrt-unprod
14×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
add-cube-cbrt
pow-prod-down
cbrt-undiv div-exp
associate-*l*
associate-*r/ add-log-exp
*-commutative
distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- distribute-lft-out-- difference-of-squares
distribute-rgt-neg-in frac-2neg times-frac clear-num associate-/r* sqrt-prod div-inv associate-/l* unswap-sqr
Counts
4 → 91
Calls
4 calls:
11.0ms
(* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* (* 3.0 a) c)
5.0ms
(* (* 3.0 a) c)
14.0ms
(/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series81.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
3.0ms
(* (* 3.0 a) c)
3.0ms
(* (* 3.0 a) c)
58.0ms
(/ (* (* 3.0 a) c) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify74.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0435942
12844707
25003707

prune110.0ms

Filtered
103 candidates to 61 candidates (40.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh066
Picked011
Done011
Total1038111

Merged error: 0b

Counts
111 → 8

regimes245.0ms

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
01813
12013
22013

end0.0ms

sample2.2s

Algorithm
intervals
Results
468.0ms4850×body160valid
451.0ms16465×pre80true
408.0ms8465×body80nan
199.0ms1388×body320valid
91.0ms1762×body80valid

Profiling

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