Details

Time bar (total: 5.2s)

sample56.0ms

Algorithm
intervals
Results
12.0ms461×pre80true
12.0ms146×body160valid
8.0ms205×body80nan
6.0ms50×body320valid
3.0ms60×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: 43.7b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* 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))
38.7b
(+ (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
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)
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series276.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* b b) (* (* 3.0 a) c))
23.0ms
(* (* 3.0 a) c)
133.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
79.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify52.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0417711
11922611
25001602

prune162.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New81485
Fresh000
Picked011
Done000
Total81586

Merged error: 0.3b

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))

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
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)))))
16.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series537.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
24.0ms
(* 3.0 (* a c))
272.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
223.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify117.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
06282481
133222152
250022149

prune358.0ms

Filtered
169 candidates to 104 candidates (61.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1618169
Fresh213
Picked101
Done101
Total1659174

Merged error: 0b

Counts
174 → 9

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))

rewrite48.0ms

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)
16.0ms
(/ (+ 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))

series537.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
19.0ms
(* (* 3.0 a) c)
278.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
222.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify104.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
05712482
130602153
250032150

prune350.0ms

Filtered
169 candidates to 103 candidates (60.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1672169
Fresh358
Picked011
Done000
Total1708178

Merged error: 0b

Counts
178 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log add-cbrt-cube
31×prod-exp cbrt-unprod
16×pow1
14×add-sqr-sqrt
13×associate-*r*
12×cbrt-undiv *-un-lft-identity div-exp
add-cube-cbrt
associate-*l* pow-prod-down
add-log-exp
*-commutative
distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in times-frac associate-*r/ flip-- div-inv distribute-lft-out-- difference-of-squares
distribute-rgt-neg-in frac-2neg associate-*l/ clear-num associate-/r* sqrt-prod associate-/l* unswap-sqr
Counts
4 → 106
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
5.0ms
(* (* 3.0 a) c)
17.0ms
(* (/ (* 3.0 a) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
7.0ms
(/ (* 3.0 a) (* (* 3.0 a) c))

series174.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
19.0ms
(* (* 3.0 a) c)
125.0ms
(* (/ (* 3.0 a) (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
11.0ms
(/ (* 3.0 a) (* (* 3.0 a) c))

simplify144.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (134.0ms)

IterNodesCost
05041126
13801708
25001692

prune195.0ms

Filtered
118 candidates to 65 candidates (55.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh066
Picked011
Done011
Total1188126

Merged error: 0b

Counts
126 → 8

regimes146.0ms

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
02013
12013

end0.0ms

sample1.7s

Algorithm
intervals
Results
431.0ms15966×pre80true
402.0ms4836×body160valid
324.0ms7966×body80nan
166.0ms1349×body320valid
77.0ms1815×body80valid

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