Details

Time bar (total: 6.9s)

sample84.0ms

Algorithm
intervals
Results
19.0ms155×body160valid
16.0ms259×body80nan
15.0ms515×pre80true
8.0ms56×body80valid
8.0ms45×body320valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0259
1469
2869
31139
41219
51219

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
38.3b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite58.0ms

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:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(- (* b b) (* (* 4.0 a) c))
33.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
13.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series303.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
44.0ms
(- (* b b) (* (* 4.0 a) c))
110.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
77.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify52.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0438854
11702750
25002735

prune256.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.3b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

rewrite103.0ms

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:
3.0ms
(- (* b b) (* (* 4.0 a) c))
19.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
26.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
45.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

series455.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* b b) (* (* 4.0 a) c))
73.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
182.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
153.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

simplify150.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
08325099
139673830
250013828

prune561.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ (* 2.0 a) (* 4.0 (* a c)))
0.3b
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.3b
(/ 1 (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
180×prod-diff
152×add-exp-log
135×add-sqr-sqrt
133×*-un-lft-identity
125×add-cube-cbrt
92×sqrt-prod add-cbrt-cube
73×prod-exp
62×distribute-rgt-in distribute-lft-in
59×distribute-rgt-neg-in
57×distribute-lft-neg-in
46×div-exp
41×cbrt-unprod
26×cbrt-undiv
19×neg-mul-1
10×fma-neg
9×pow1
8×rec-exp 1-exp add-log-exp
7×associate-*r*
5×flip3-- times-frac associate-*l* associate-/r/ flip--
4×expm1-log1p-u frac-times associate-*r/ log1p-expm1-u associate-/l* distribute-lft-out-- difference-of-squares
3×sub-neg div-inv
2×pow-flip frac-2neg diff-log pow-prod-down associate-*l/ clear-num associate-/r*
1×associate--l- neg-sub0 neg-log *-commutative inv-pow unswap-sqr
Counts
4 → 343
Calls
4 calls:
16.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
7.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
77.0ms
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
64.0ms
(/ 1 (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series326.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
11.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
86.0ms
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
148.0ms
(/ 1 (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify102.0ms

Algorithm
egg-herbie
Counts
355 → 355
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
0124810439
150027042

prune457.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ 1 (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
0.4b
(* (/ 1 (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 4.0 (* a c)))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
180×prod-diff
156×add-exp-log
134×add-sqr-sqrt *-un-lft-identity
126×add-cube-cbrt
99×prod-exp
92×sqrt-prod
72×add-cbrt-cube
62×distribute-rgt-in distribute-lft-in
59×distribute-rgt-neg-in
57×distribute-lft-neg-in
39×cbrt-unprod
24×pow1 div-exp
19×neg-mul-1
12×cbrt-undiv rec-exp 1-exp pow-prod-down
10×fma-neg associate-*l*
8×associate-*r* add-log-exp
6×times-frac associate-*r/
4×expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
3×sub-neg pow-flip associate-/l*
2×diff-log *-commutative div-inv
1×associate--l- neg-sub0 frac-2neg neg-log associate-*l/ clear-num associate-/r* inv-pow
Counts
4 → 343
Calls
4 calls:
50.0ms
(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
16.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
31.0ms
(/ 1 (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
133.0ms
(* (/ 1 (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 4.0 (* a c)))

series522.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
78.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
172.0ms
(/ 1 (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
164.0ms
(* (/ 1 (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 4.0 (* a c)))

simplify97.0ms

Algorithm
egg-herbie
Counts
355 → 355
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012139667
150016244

prune411.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes124.0ms

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
02813
12813

end0.0ms

sample2.3s

Algorithm
intervals
Results
599.0ms4831×body160valid
516.0ms8260×body80nan
463.0ms16260×pre80true
232.0ms1314×body320valid
127.0ms1855×body80valid