Details

Time bar (total: 4.0s)

analyze263.0ms

Algorithm
search

sample39.0ms

Algorithm
intervals
Results
13.0ms139×body160valid
8.0ms117×body80valid
8.0ms280×pre80true
1.0ms24×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 26.6b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
26.6b
(+ (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:
5.0ms
(* (* 3.0 a) c)
3.0ms
(- (* b b) (* (* 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))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
8.0ms
(- (* b b) (* (* 3.0 a) c))
25.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
17.0ms
(+ (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

prune120.0ms

Filtered
59 candidates to 85 candidates (-44.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh000
Picked101
Done000
Total80686

Merged error: 0.5b

Counts
86 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
79×add-sqr-sqrt *-un-lft-identity
39×add-cube-cbrt
30×associate-/l*
23×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
10×distribute-rgt-neg-in sqrt-prod
9×pow1
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/ add-log-exp
5×prod-exp cbrt-unprod
4×flip3-- flip-- div-inv
3×associate-*l* pow-prod-down associate-/l/
2×frac-2neg clear-num
1×sub-neg flip3-+ diff-log associate-*r* *-commutative flip-+
Counts
4 → 151
Calls
4 calls:
4.0ms
(* 3.0 (* a c))
3.0ms
(- (* b b) (* (* 3.0 a) c))
15.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series112.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* a c))
8.0ms
(- (* b b) (* (* 3.0 a) c))
42.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
58.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify122.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
06512507
133122195
250022183

prune298.0ms

Filtered
102 candidates to 163 candidates (-59.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New15310163
Fresh505
Picked101
Done000
Total15910169

Merged error: 0.0b

Counts
169 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 3.0 (/ 3.0 (* a c)))
0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(/ 3.0 (* a c))
0.3b
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
224×times-frac
161×add-sqr-sqrt
135×*-un-lft-identity
108×add-exp-log
97×add-cube-cbrt
85×associate-*r*
72×add-cbrt-cube
56×div-exp
34×cbrt-undiv
27×prod-exp
26×associate-*l*
18×distribute-lft-out-- difference-of-squares
17×cbrt-unprod
14×div-inv
9×distribute-rgt-neg-in sqrt-prod
8×associate-/r* associate-/r/ unswap-sqr
6×pow1 associate-/l* add-log-exp
4×rec-exp flip3-- 1-exp flip--
2×frac-2neg clear-num
1×frac-times sub-neg diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 244
Calls
4 calls:
6.0ms
(/ 3.0 (/ 3.0 (* a c)))
3.0ms
(- (* b b) (* (* 3.0 a) c))
4.0ms
(/ 3.0 (* a c))
55.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series62.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 3.0 (/ 3.0 (* a c)))
9.0ms
(- (* b b) (* (* 3.0 a) c))
3.0ms
(/ 3.0 (* a c))
46.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify58.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013373193
150012514

prune420.0ms

Filtered
160 candidates to 256 candidates (-60.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2533256
Fresh459
Picked101
Done000
Total2588266

Merged error: 0b

Counts
266 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* a c) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
309×times-frac
222×add-sqr-sqrt *-un-lft-identity
138×add-cube-cbrt
88×associate-*r*
53×add-exp-log
42×distribute-lft-out-- difference-of-squares
35×add-cbrt-cube
27×associate-/l*
21×distribute-rgt-neg-in sqrt-prod
18×div-exp prod-exp
14×pow1 associate-/r/
12×cbrt-unprod
9×cbrt-undiv div-inv
8×flip3-- flip--
6×pow-prod-down add-log-exp
3×rec-exp 1-exp associate-/r*
2×associate-*l* *-commutative
1×sub-neg frac-2neg diff-log associate-*r/ clear-num associate-/l/
Counts
4 → 271
Calls
4 calls:
8.0ms
(* (* 3.0 a) c)
14.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
3.0ms
(- (* b b) (* (* 3.0 a) c))
26.0ms
(* (* a c) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series91.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* 3.0 a) c)
39.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
9.0ms
(- (* b b) (* (* 3.0 a) c))
40.0ms
(* (* a c) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify63.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011104021
150013613

prune359.0ms

Filtered
151 candidates to 283 candidates (-87.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2803283
Fresh347
Picked101
Done000
Total2847291

Merged error: 0b

Counts
291 → 7

regimes248.0ms

Accuracy

0% (0.5b 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
02011
12011

end0.0ms

analyze260.0ms

Algorithm
search

sample1.1s

Algorithm
intervals
Results
414.0ms4421×body160valid
250.0ms8969×pre80true
178.0ms3579×body80valid
44.0ms969×body80nan

Profiling

Loading profile data...