Details

Time bar (total: 6.9s)

sample75.0ms

Algorithm
intervals
Results
16.0ms554×pre80true
15.0ms149×body160valid
15.0ms298×body80nan
7.0ms45×body320valid
3.0ms62×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 44.2b

Counts
2 → 1

localize16.0ms

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))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
40.1b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite29.0ms

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:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(- (* b b) (* (* 4.0 a) c))
12.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series315.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
51.0ms
(- (* b b) (* (* 4.0 a) c))
112.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
83.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify48.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0405779
11563685
25002674

prune195.0ms

Filtered
82 candidates to 63 candidates (76.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New79382
Fresh000
Picked101
Done000
Total80383

Merged error: 0.2b

Counts
83 → 3

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))) (- (- 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))

rewrite52.0ms

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))))
4.0ms
(- (* b b) (* (* 4.0 a) c))
12.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
21.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

series475.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
45.0ms
(- (* b b) (* (* 4.0 a) c))
190.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
158.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

simplify121.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
06422664
131752400
250022388

prune427.0ms

Filtered
163 candidates to 106 candidates (65.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1558163
Fresh112
Picked101
Done000
Total1579166

Merged error: 0b

Counts
166 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

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:
4.0ms
(- (* b b) (* (* 4.0 a) c))
17.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))
19.0ms
(/ (* 1 (/ 4.0 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))) (* 2.0 a))
14.0ms
(/ 4.0 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))

series464.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- (* b b) (* (* 4.0 a) c))
107.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))
131.0ms
(/ (* 1 (/ 4.0 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))) (* 2.0 a))
175.0ms
(/ 4.0 (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))

simplify46.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09142501
150012068

prune360.0ms

Filtered
162 candidates to 95 candidates (58.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1611162
Fresh178
Picked101
Done000
Total1638171

Merged error: 0b

Counts
171 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 4.0 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
(/ 4.0 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a) c))

rewrite128.0ms

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:
4.0ms
(- (* b b) (* (* 4.0 a) c))
15.0ms
(/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a) c)
34.0ms
(/ (* 1 (/ 4.0 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a) c))) (* 2.0 a))
31.0ms
(/ 4.0 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a) c))

series467.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* b b) (* (* 4.0 a) c))
106.0ms
(/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a) c)
136.0ms
(/ (* 1 (/ 4.0 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a) c))) (* 2.0 a))
178.0ms
(/ 4.0 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) a) c))

simplify129.0ms

Algorithm
egg-herbie
Counts
521 → 521
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0191610106
150019636

prune1.3s

Filtered
521 candidates to 307 candidates (58.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New5210521
Fresh077
Picked011
Done000
Total5218529

Merged error: 0b

Counts
529 → 8

regimes116.0ms

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
02513
12713
22713

end0.0ms

sample2.0s

Algorithm
intervals
Results
483.0ms4897×body160valid
463.0ms16159×pre80true
408.0ms8159×body80nan
194.0ms1321×body320valid
90.0ms1782×body80valid