Details

Time bar (total: 5.4s)

sample58.0ms

Algorithm
intervals
Results
12.0ms112×body320valid
10.0ms537×pre80true
9.0ms281×body80nan
6.0ms92×body160valid
2.0ms15×body640valid
1.0ms37×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
25.7b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 times-frac associate-/l*
3×distribute-rgt-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 sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(- (* b b) (* (* 4.0 a) c))
14.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series291.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
43.0ms
(- (* b b) (* (* 4.0 a) c))
102.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
77.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify45.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0405779
11563685
25002674

prune182.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
82×add-sqr-sqrt *-un-lft-identity
38×add-cube-cbrt
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
18×add-exp-log add-cbrt-cube
11×distribute-rgt-neg-in sqrt-prod
10×add-log-exp
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 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 → 151
Calls
4 calls:
8.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
3.0ms
(- (* b b) (* (* 4.0 a) c))
16.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
12.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series436.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
46.0ms
(- (* b b) (* (* 4.0 a) c))
143.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
175.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify115.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
06422664
131752400
250032388

prune410.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
87×*-un-lft-identity
78×times-frac
55×add-sqr-sqrt
35×add-cube-cbrt
27×associate-/l*
20×distribute-lft-out--
18×add-exp-log add-cbrt-cube
11×distribute-lft-out
10×difference-of-squares
8×add-log-exp
7×cbrt-undiv div-exp associate-/r*
6×associate-/r/
4×pow1 flip3-- flip-- div-inv
3×associate-/l/
2×frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 135
Calls
4 calls:
5.0ms
(+ b (sqrt (- (* b b) (* (* 4.0 a) c))))
4.0ms
(- (* b b) (* (* 4.0 a) c))
15.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- 0 (+ b (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 2.0 a))
12.0ms
(/ (+ 0 (* 4.0 (* a c))) (- 0 (+ b (sqrt (- (* b b) (* (* 4.0 a) c))))))

series448.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(+ b (sqrt (- (* b b) (* (* 4.0 a) c))))
47.0ms
(- (* b b) (* (* 4.0 a) c))
147.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- 0 (+ b (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 2.0 a))
180.0ms
(/ (+ 0 (* 4.0 (* a c))) (- 0 (+ b (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify207.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (183.0ms)

IterNodesCost
06802329
137352088
250012085

prune410.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(+ b (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.4b
(/ (+ 0 (* 4.0 (* a c))) (- (* (* 2.0 a) (+ b (sqrt (- (* b b) (* (* 4.0 a) c)))))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity times-frac
17×add-sqr-sqrt
16×add-cube-cbrt
8×add-log-exp
6×add-exp-log associate-/r* add-cbrt-cube
5×pow1
4×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
3×flip3-+ sqrt-prod flip-+ associate-/l*
2×flip3-- sqrt-div associate-*r/ associate-/r/ flip-- associate-/l/ distribute-neg-frac
1×cbrt-undiv +-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-exp clear-num sum-log div-inv distribute-lft-out
Counts
4 → 82
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
5.0ms
(+ b (sqrt (- (* b b) (* (* 4.0 a) c))))
4.0ms
(- (* b b) (* (* 4.0 a) c))
7.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (* (* 2.0 a) (+ b (sqrt (- (* b b) (* (* 4.0 a) c)))))))

series448.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
75.0ms
(+ b (sqrt (- (* b b) (* (* 4.0 a) c))))
48.0ms
(- (* b b) (* (* 4.0 a) c))
254.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (* (* 2.0 a) (+ b (sqrt (- (* b b) (* (* 4.0 a) c)))))))

simplify97.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
04791192
125811089
250011085

prune297.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes93.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04526
15926
25926

end0.0ms

sample1.6s

Algorithm
intervals
Results
384.0ms3660×body320valid
303.0ms16233×pre80true
280.0ms8233×body80nan
206.0ms2937×body160valid
70.0ms497×body640valid
32.0ms906×body80valid