Details

Time bar (total: 10.3s)

sample87.0ms

Algorithm
intervals
Results
21.0ms117×body320valid
14.0ms490×pre80true
10.0ms234×body80nan
9.0ms98×body160valid
3.0ms15×body640valid
2.0ms26×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune5.0ms

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: 52.5b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
27.7b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite34.0ms

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))
15.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(* (* 3.0 a) c)
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series369.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (* b b) (* (* 3.0 a) c))
180.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
25.0ms
(* (* 3.0 a) c)
103.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify56.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0417711
11922611
25002602

prune353.0ms

Filtered
85 candidates to 59 candidates (30.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh000
Picked011
Done000
Total82486

Merged error: 0.2b

Counts
86 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* a c))
0.4b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite46.0ms

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:
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
5.0ms
(* (* 3.0 a) c)
5.0ms
(* 3.0 (* a c))
17.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series720.0ms

Counts
4 → 12
Calls
4 calls:
364.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
29.0ms
(* (* 3.0 a) c)
25.0ms
(* 3.0 (* a c))
302.0ms
(/ (/ (+ 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 (100.0ms)

IterNodesCost
06282481
133222152
250022149

prune974.0ms

Filtered
169 candidates to 104 candidates (38.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1636169
Fresh112
Picked011
Done101
Total1658173

Merged error: 0b

Counts
173 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
389×times-frac
281×add-sqr-sqrt
255×*-un-lft-identity
169×add-cube-cbrt
117×add-exp-log
85×associate-*r*
77×add-cbrt-cube
62×div-exp
42×distribute-lft-out-- difference-of-squares
37×cbrt-undiv
33×associate-/l*
27×prod-exp
26×associate-*l*
21×distribute-rgt-neg-in sqrt-prod
19×div-inv
17×cbrt-unprod
16×associate-/r/
11×associate-/r*
8×unswap-sqr
7×flip3-- flip--
6×pow1
5×rec-exp 1-exp
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 360
Calls
4 calls:
16.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
7.0ms
(/ 3.0 (/ 3.0 (* a c)))
5.0ms
(/ 3.0 (* a c))
59.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series575.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
25.0ms
(/ 3.0 (/ 3.0 (* a c)))
32.0ms
(/ 3.0 (* a c))
299.0ms
(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify77.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
014665419
150014625

prune2.6s

Filtered
372 candidates to 216 candidates (41.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3702372
Fresh336
Picked011
Done011
Total3737380

Merged error: 0b

Counts
380 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
0.2b
(/ (/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b
(* (* 3.0 a) c)
0.3b
(/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
57×add-sqr-sqrt *-un-lft-identity
29×add-cube-cbrt
23×add-exp-log add-cbrt-cube
14×associate-/l* distribute-lft-out-- difference-of-squares
10×associate-/r* associate-/r/
9×pow1
8×add-log-exp
7×cbrt-undiv distribute-rgt-neg-in div-exp sqrt-prod
6×flip3-- flip-- div-inv
5×prod-exp cbrt-unprod
3×associate-*r* pow-prod-down
2×frac-2neg diff-log clear-num
1×associate--l- neg-sub0 sub-neg associate-*l* neg-log *-commutative associate-/l/
Counts
4 → 139
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
14.0ms
(/ (/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
5.0ms
(* (* 3.0 a) c)
11.0ms
(/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series774.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
289.0ms
(/ (/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
26.0ms
(* (* 3.0 a) c)
348.0ms
(/ (* a c) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify80.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06012012
129631782
250011766

prune707.0ms

Filtered
151 candidates to 101 candidates (33.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1501151
Fresh134
Picked011
Done112
Total1526158

Merged error: 0b

Counts
158 → 6

regimes190.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample2.2s

Algorithm
intervals
Results
475.0ms3621×body320valid
430.0ms16088×pre80true
347.0ms8088×body80nan
256.0ms2941×body160valid
95.0ms522×body640valid
42.0ms916×body80valid

Profiling

Loading profile data...