Details

Time bar (total: 6.2s)

sample55.0ms

Algorithm
intervals
Results
13.0ms546×pre80true
10.0ms138×body160valid
10.0ms290×body80nan
4.0ms118×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
0.3b
(- (* b b) (* (* 4.0 a) c))
26.5b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite28.0ms

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)))
11.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
3.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series306.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
106.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
48.0ms
(- (* b b) (* (* 4.0 a) c))
81.0ms
(+ (- 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

prune198.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (- 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))
0.3b
(- (* b b) (* (* 4.0 a) c))
0.4b
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite50.0ms

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))))
16.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
4.0ms
(- (* b b) (* (* 4.0 a) c))
16.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series460.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
146.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
50.0ms
(- (* b b) (* (* 4.0 a) c))
186.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify112.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
06422664
131752400
250032388

prune439.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
95×add-exp-log
69×times-frac
63×add-cbrt-cube
50×add-sqr-sqrt *-un-lft-identity
45×div-exp
31×prod-exp
27×cbrt-undiv
26×add-cube-cbrt
17×cbrt-unprod
13×associate-/r*
12×distribute-lft-out-- difference-of-squares
11×associate-/l*
8×1-exp
7×div-inv
6×distribute-rgt-neg-in sqrt-prod add-log-exp
4×pow1
3×frac-2neg clear-num associate-/l/
2×flip3-- flip--
1×sub-neg diff-log div-sub associate-*r/ associate-/r/
Counts
4 → 150
Calls
4 calls:
13.0ms
(/ 4.0 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))
18.0ms
(/ (* 1 (/ 4.0 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))) (* 2.0 a))
4.0ms
(- (* b b) (* (* 4.0 a) c))
12.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))

series447.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(/ 4.0 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))
130.0ms
(/ (* 1 (/ 4.0 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))) (* 2.0 a))
45.0ms
(- (* b b) (* (* 4.0 a) c))
108.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))

simplify49.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09142501
150012068

prune385.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
949×times-frac
582×add-sqr-sqrt *-un-lft-identity
390×add-cube-cbrt
96×distribute-lft-out-- difference-of-squares
95×add-exp-log
83×associate-/r*
63×add-cbrt-cube
51×div-exp
48×distribute-rgt-neg-in sqrt-prod
31×cbrt-undiv
29×associate-/l*
25×prod-exp
23×div-inv
13×cbrt-unprod
8×1-exp
6×add-log-exp
4×pow1
3×frac-2neg clear-num
2×div-sub associate-/l/
1×sub-neg flip3-- diff-log associate-*r/ associate-/r/ flip--
Counts
4 → 509
Calls
4 calls:
24.0ms
(/ 4.0 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a) c))
14.0ms
(/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a) c)
36.0ms
(/ (* 1 (/ 4.0 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a) c))) (* 2.0 a))
4.0ms
(- (* b b) (* (* 4.0 a) c))

series451.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(/ 4.0 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a) c))
102.0ms
(/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a) c)
128.0ms
(/ (* 1 (/ 4.0 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a) c))) (* 2.0 a))
54.0ms
(- (* b b) (* (* 4.0 a) c))

simplify123.0ms

Algorithm
egg-herbie
Counts
521 → 521
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0191610106
150019636

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes132.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02915
13315
23315

end0.0ms

sample1.4s

Algorithm
intervals
Results
322.0ms4446×body160valid
302.0ms16681×pre80true
295.0ms8681×body80nan
130.0ms3554×body80valid