Details

Time bar (total: 6.1s)

sample61.0ms

Algorithm
intervals
Results
13.0ms316×body80nan
10.0ms572×pre80true
9.0ms140×body160valid
4.0ms116×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0259
1469
2869
31139
41219
51219

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
28.4b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
11×add-sqr-sqrt
10×add-cube-cbrt fma-def add-log-exp
9×add-exp-log add-cbrt-cube
6×distribute-rgt-neg-in distribute-lft-out
5×pow1 times-frac associate-/l*
4×expm1-log1p-u log1p-expm1-u
3×distribute-lft-neg-in sqrt-prod
2×cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
1×+-commutative neg-mul-1 sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log div-sub prod-diff neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 90
Calls
4 calls:
11.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms
(- (* b b) (* (* 4.0 a) c))
67.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
22.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series271.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
39.0ms
(- (* b b) (* (* 4.0 a) c))
95.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
75.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify53.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0438854
11702750
25002735

prune253.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 4.0 a) c))
0.2b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.4b
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
123×add-sqr-sqrt *-un-lft-identity
90×times-frac
79×add-cube-cbrt
61×prod-diff
41×sqrt-prod
32×distribute-rgt-neg-in
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
21×distribute-lft-neg-in
18×add-exp-log add-cbrt-cube
11×fma-neg
10×add-log-exp
8×associate-/r*
7×cbrt-undiv neg-mul-1 div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 expm1-log1p-u log1p-expm1-u div-inv
3×diff-log associate-/l/
2×sub-neg frac-2neg prod-exp clear-num cbrt-unprod
1×associate--l- neg-sub0 flip3-+ neg-log flip-+
Counts
4 → 231
Calls
4 calls:
9.0ms
(- (* b b) (* (* 4.0 a) c))
29.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
83.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
58.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series404.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* b b) (* (* 4.0 a) c))
70.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
130.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
165.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify157.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
08325099
139673830
250013828

prune539.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.3b
(/ (* 2.0 a) (* 4.0 (* a c)))
0.3b
(/ (/ 1 1) (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
0.4b
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
312×add-exp-log
180×prod-diff
147×add-sqr-sqrt
145×*-un-lft-identity
142×div-exp
138×add-cbrt-cube
137×add-cube-cbrt prod-exp
92×sqrt-prod
62×distribute-rgt-in distribute-lft-in
59×distribute-rgt-neg-in
57×distribute-lft-neg-in cbrt-unprod
48×cbrt-undiv
40×1-exp
33×times-frac
19×neg-mul-1
16×rec-exp
14×associate-/l*
10×fma-neg
8×add-log-exp
7×associate-*r*
6×pow1
5×flip3-- associate-*l* associate-/r/ flip-- div-inv
4×expm1-log1p-u frac-times associate-*r/ log1p-expm1-u distribute-lft-out-- difference-of-squares
3×sub-neg
2×frac-2neg diff-log associate-*l/ clear-num associate-/r*
1×associate--l- neg-sub0 pow-prod-down neg-log *-commutative associate-/l/ unswap-sqr
Counts
4 → 401
Calls
4 calls:
29.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
20.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
75.0ms
(/ (/ 1 1) (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
148.0ms
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series285.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
10.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
133.0ms
(/ (/ 1 1) (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
73.0ms
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify112.0ms

Algorithm
egg-herbie
Counts
413 → 413
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
0162311509
150027954

prune563.0ms

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) (* (* 4.0 a) c))
0.2b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.3b
(/ (/ 1 1) (* (/ 0.5 c) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
0.4b
(* (/ 0.5 c) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
181×prod-diff
156×add-sqr-sqrt
151×*-un-lft-identity
143×add-cube-cbrt
92×sqrt-prod
69×add-exp-log
62×distribute-rgt-in distribute-lft-in
59×distribute-rgt-neg-in
57×distribute-lft-neg-in
41×times-frac div-exp
30×add-cbrt-cube
19×neg-mul-1
16×prod-exp
15×1-exp
13×associate-*l* associate-/l*
12×cbrt-undiv
11×fma-neg
10×add-log-exp
7×associate-*r*
6×pow1 rec-exp flip3-- flip-- cbrt-unprod
5×associate-/r/
4×expm1-log1p-u frac-times sub-neg associate-*r/ log1p-expm1-u div-inv distribute-lft-out-- difference-of-squares
3×diff-log
2×associate-*l/ unswap-sqr
1×associate--l- neg-sub0 frac-2neg pow-prod-down neg-log clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 344
Calls
4 calls:
8.0ms
(- (* b b) (* (* 4.0 a) c))
29.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
36.0ms
(/ (/ 1 1) (* (/ 0.5 c) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
104.0ms
(* (/ 0.5 c) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series368.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* b b) (* (* 4.0 a) c))
69.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
157.0ms
(/ (/ 1 1) (* (/ 0.5 c) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
100.0ms
(* (/ 0.5 c) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify91.0ms

Algorithm
egg-herbie
Counts
356 → 356
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012679290
150026052

prune440.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes119.0ms

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
02210
12210

end0.0ms

sample1.5s

Algorithm
intervals
Results
305.0ms4439×body160valid
293.0ms8847×body80nan
280.0ms16847×pre80true
126.0ms3561×body80valid