Details

Time bar (total: 6.2s)

sample78.0ms

Algorithm
intervals
Results
14.0ms531×pre80true
14.0ms142×body160valid
14.0ms275×body80nan
5.0ms114×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.6b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite112.0ms

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:
7.0ms
(- (* b b) (* (* 3.0 a) c))
16.0ms
(* (* 3.0 a) c)
65.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
21.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series235.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
98.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
73.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0419716
11930613
25002608

prune167.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* a c))
0.3b
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite594.0ms

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-- div-sub flip-- associate-/l/
2×associate-+l- frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
16.0ms
(* (* 3.0 a) c)
15.0ms
(* 3.0 (* a c))
269.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
286.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series312.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* 3.0 a) c)
18.0ms
(* 3.0 (* a c))
157.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
115.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify109.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
06843100
133072567
250012533

prune417.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
521×times-frac
319×add-sqr-sqrt *-un-lft-identity
175×add-cube-cbrt
72×distribute-lft-out-- difference-of-squares
63×associate-/l*
52×add-exp-log add-cbrt-cube
43×div-inv
36×distribute-rgt-neg-in sqrt-prod
22×cbrt-undiv div-exp
13×associate-/r*
12×prod-exp cbrt-unprod
10×associate-/r/
9×pow1
5×flip3-- flip--
4×add-log-exp
3×frac-2neg associate-*l* pow-prod-down clear-num
2×associate-/l/
1×associate-*r* *-commutative
Counts
4 → 369
Calls
4 calls:
86.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
19.0ms
(/ (* 3.0 (* a c)) 3.0)
15.0ms
(* 3.0 (* a c))
55.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series536.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
18.0ms
(/ (* 3.0 (* a c)) 3.0)
217.0ms
(* 3.0 (* a c))
168.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify83.0ms

Algorithm
egg-herbie
Counts
381 → 381
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011867170
150016790

prune793.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (/ (* 1.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b
(/ (* 1.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
53×add-sqr-sqrt *-un-lft-identity
32×add-exp-log add-cbrt-cube
29×add-cube-cbrt
14×associate-/l*
12×distribute-lft-out-- difference-of-squares
10×cbrt-undiv div-exp associate-/r* associate-/r/
9×pow1 prod-exp cbrt-unprod
6×flip3-- distribute-rgt-neg-in sqrt-prod flip-- div-inv add-log-exp
3×associate-*r* pow-prod-down
2×frac-2neg clear-num
1×sub-neg diff-log associate-*l* *-commutative associate-/l/
Counts
4 → 137
Calls
4 calls:
7.0ms
(- (* b b) (* (* 3.0 a) c))
16.0ms
(* (* 3.0 a) c)
72.0ms
(/ (/ (* 1.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
54.0ms
(/ (* 1.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series370.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* b b) (* (* 3.0 a) c))
18.0ms
(* (* 3.0 a) c)
144.0ms
(/ (/ (* 1.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
161.0ms
(/ (* 1.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify97.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
07002109
137131844
250021819

prune310.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes127.0ms

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
02011
12011

end0.0ms

sample1.4s

Algorithm
intervals
Results
271.0ms16613×pre80true
270.0ms4399×body160valid
246.0ms8613×body80nan
112.0ms3600×body80valid
0.0ms1×body320valid