Details

Time bar (total: 6.4s)

sample73.0ms

Algorithm
intervals
Results
14.0ms534×pre80true
12.0ms143×body160valid
12.0ms278×body80nan
6.0ms46×body320valid
3.0ms67×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune4.0ms

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: 43.0b

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)
0.3b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.3b
(+ (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
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))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series283.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
135.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
83.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0417711
11922611
25001602

prune278.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New80585
Fresh000
Picked101
Done000
Total81586

Merged error: 0.3b

Counts
86 → 5

localize16.0ms

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)))))
0.3b
(/ (/ (+ 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
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)
5.0ms
(* 3.0 (* a c))
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
20.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series539.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
19.0ms
(* 3.0 (* a c))
273.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
227.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify116.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
06282481
133222152
250022149

prune561.0ms

Filtered
169 candidates to 104 candidates (61.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1618169
Fresh404
Picked101
Done000
Total1668174

Merged error: 0b

Counts
174 → 8

localize16.0ms

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

rewrite44.0ms

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)
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))

series534.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
19.0ms
(* (* 3.0 a) c)
269.0ms
(/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
226.0ms
(/ (/ (+ 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 (85.0ms)

IterNodesCost
05712482
130602153
250032150

prune521.0ms

Filtered
169 candidates to 103 candidates (60.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1672169
Fresh257
Picked011
Done000
Total1698177

Merged error: 0b

Counts
177 → 8

localize15.0ms

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
19×pow1
13×add-sqr-sqrt *-un-lft-identity
12×prod-exp cbrt-unprod
11×associate-*r*
9×add-cube-cbrt pow-prod-down
5×associate-*l*
4×associate-*r/ add-log-exp
3×cbrt-undiv times-frac div-exp *-commutative associate-/l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×distribute-rgt-neg-in frac-2neg flip3-+ clear-num associate-/r* sqrt-prod flip-+ div-inv
Counts
4 → 91
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
4.0ms
(* 3.0 (* a c))
11.0ms
(* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
14.0ms
(/ (+ 0 (* 3.0 (* a c))) (* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series400.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 3.0 a) c)
19.0ms
(* 3.0 (* a c))
138.0ms
(* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
224.0ms
(/ (+ 0 (* 3.0 (* a c))) (* (* 3.0 a) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify118.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
0492981
13241770
25001765

prune283.0ms

Filtered
103 candidates to 63 candidates (61.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh156
Picked011
Done011
Total1038111

Merged error: 0b

Counts
111 → 8

regimes326.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample2.0s

Algorithm
intervals
Results
425.0ms16196×pre80true
402.0ms4852×body160valid
345.0ms8196×body80nan
174.0ms1377×body320valid
76.0ms1771×body80valid

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