Details

Time bar (total: 5.7s)

sample64.0ms

Algorithm
intervals
Results
15.0ms153×body160valid
14.0ms523×pre80true
11.0ms267×body80nan
6.0ms45×body320valid
2.0ms58×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: 44.0b

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))
40.1b
(+ (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))))

series278.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
135.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
80.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify51.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0417711
11922611
25001602

prune151.0ms

Filtered
85 candidates to 59 candidates (69.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New82385
Fresh000
Picked101
Done000
Total83386

Merged error: 0.3b

Counts
86 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 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))

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

series552.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* 3.0 (* a c))
19.0ms
(* (* 3.0 a) c)
277.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
235.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify122.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
06282481
133222152
250022149

prune356.0ms

Filtered
169 candidates to 104 candidates (61.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1627169
Fresh112
Picked011
Done000
Total1639172

Merged error: 0b

Counts
172 → 9

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))

rewrite51.0ms

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)))))
23.0ms
(/ (/ (+ 0 (* (* 3.0 a) c)) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series544.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* 3.0 a) c)
19.0ms
(* (* 3.0 a) c)
275.0ms
(/ (+ 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))

simplify104.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
05712482
130602153
250032150

prune308.0ms

Filtered
169 candidates to 99 candidates (58.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1690169
Fresh077
Picked011
Done011
Total1699178

Merged error: 0b

Counts
178 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 3.0 (/ 3.0 (* a c)))
0.3b
(/ 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))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
224×times-frac
162×add-sqr-sqrt
136×*-un-lft-identity
113×add-exp-log
98×add-cube-cbrt
88×associate-*r*
77×add-cbrt-cube
56×div-exp
34×cbrt-undiv
30×prod-exp
27×associate-*l*
20×cbrt-unprod
18×distribute-lft-out-- difference-of-squares
14×div-inv
11×pow1
9×distribute-rgt-neg-in sqrt-prod
8×associate-/r* associate-/r/ unswap-sqr
6×associate-/l*
4×rec-exp 1-exp pow-prod-down add-log-exp
3×flip3-- flip--
2×frac-2neg clear-num *-commutative
1×frac-times associate-*r/ associate-*l/
Counts
4 → 250
Calls
4 calls:
6.0ms
(/ 3.0 (/ 3.0 (* a c)))
4.0ms
(/ 3.0 (* a c))
5.0ms
(* (* 3.0 a) c)
60.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series295.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ 3.0 (/ 3.0 (* a c)))
21.0ms
(/ 3.0 (* a c))
19.0ms
(* (* 3.0 a) c)
231.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify54.0ms

Algorithm
egg-herbie
Counts
262 → 262
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013353162
150012477

prune612.0ms

Filtered
262 candidates to 162 candidates (61.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2620262
Fresh066
Picked011
Done022
Total2629271

Merged error: 0b

Counts
271 → 9

regimes149.0ms

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

sample1.8s

Algorithm
intervals
Results
441.0ms16361×pre80true
404.0ms4869×body160valid
345.0ms8361×body80nan
164.0ms1353×body320valid
77.0ms1778×body80valid

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