Details

Time bar (total: 4.7s)

sample80.0ms

Algorithm
intervals
Results
17.0ms121×body320valid
14.0ms480×pre80true
11.0ms224×body80nan
8.0ms85×body160valid
4.0ms29×body80valid
4.0ms21×body640valid

simplify9.0ms

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 53.3b

Counts
2 → 1

localize10.0ms

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)
25.8b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite28.0ms

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))
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(* (* 3.0 a) c)
7.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* b b) (* (* 3.0 a) c))
27.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
3.0ms
(* (* 3.0 a) c)
14.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify53.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0417711
11922611
25002602

prune131.0ms

Filtered
85 candidates to 59 candidates (30.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New80585
Fresh000
Picked101
Done000
Total81586

Merged error: 0.1b

Counts
86 → 5

localize15.0ms

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))

rewrite45.0ms

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:
4.0ms
(* 3.0 (* a c))
5.0ms
(* (* 3.0 a) c)
11.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
18.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series105.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* a c))
3.0ms
(* (* 3.0 a) c)
53.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
45.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify119.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
06282481
133222152
250022149

prune296.0ms

Filtered
169 candidates to 104 candidates (38.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1636169
Fresh314
Picked101
Done000
Total1677174

Merged error: 0b

Counts
174 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log add-cbrt-cube
26×times-frac
24×prod-exp cbrt-unprod
19×cbrt-undiv div-exp
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×pow1
10×associate-*r/ associate-/r/
8×associate-/l*
6×pow-prod-down div-inv
5×flip3-- flip--
4×associate-*r* associate-*l* associate-/r* add-log-exp
2×frac-2neg clear-num *-commutative
1×associate-/l/
Counts
4 → 119
Calls
4 calls:
15.0ms
(/ (/ (* 3.0 (* a c)) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
4.0ms
(* 3.0 (* a c))
5.0ms
(* (* 3.0 a) c)
13.0ms
(/ (* 3.0 (* a c)) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series107.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (/ (* 3.0 (* a c)) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
3.0ms
(* 3.0 (* a c))
3.0ms
(* (* 3.0 a) c)
56.0ms
(/ (* 3.0 (* a c)) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify122.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
06451848
143271375
250011309

prune179.0ms

Filtered
131 candidates to 79 candidates (39.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1301131
Fresh156
Picked011
Done000
Total1317138

Merged error: 0b

Counts
138 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))) a)
0.3b
(* (* 3.0 a) c)
0.3b
(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))
0.3b
(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
398×times-frac
210×add-sqr-sqrt *-un-lft-identity
138×add-cube-cbrt
67×add-exp-log
48×associate-/l*
37×add-cbrt-cube
36×div-exp distribute-lft-out-- difference-of-squares
23×div-inv
18×distribute-rgt-neg-in sqrt-prod
16×cbrt-undiv
15×associate-/r*
10×pow1 prod-exp
6×rec-exp 1-exp cbrt-unprod
5×associate-/r/
4×add-log-exp
3×frac-2neg associate-*r* pow-prod-down clear-num associate-/l/
1×flip3-- pow-flip div-sub associate-*l* *-commutative flip-- inv-pow
Counts
4 → 302
Calls
4 calls:
18.0ms
(/ (/ 1 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))) a)
5.0ms
(* (* 3.0 a) c)
12.0ms
(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))
13.0ms
(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))

series100.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (/ 1 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))) a)
3.0ms
(* (* 3.0 a) c)
37.0ms
(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))
26.0ms
(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))

simplify71.0ms

Algorithm
egg-herbie
Counts
314 → 314
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011455188
150014721

prune418.0ms

Filtered
314 candidates to 168 candidates (46.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3131314
Fresh145
Picked011
Done011
Total3147321

Merged error: 0b

Counts
321 → 7

regimes188.0ms

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
02212
12212

end0.0ms

sample2.4s

Algorithm
intervals
Results
513.0ms3550×body320valid
457.0ms16341×pre80true
398.0ms8341×body80nan
281.0ms2955×body160valid
104.0ms546×body640valid
51.0ms949×body80valid

Profiling

Loading profile data...