Details

Time bar (total: 4.8s)

sample38.0ms

Algorithm
intervals
Results
15.0ms280×body80valid
4.0ms98×body80nan

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03518
16618
211618
314418
415918
516118
616118

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize84.0ms

Local error

Found 4 expressions with local error:

1.2b
(- (* b b) (* (* 4.0 a) c))
1.2b
(- (* b b) (* (* 4.0 a) c))
20.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))
20.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log flip3-- sqrt-div add-cbrt-cube flip--
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 54
Calls
4 calls:
8.0ms
(- (* b b) (* (* 4.0 a) c))
12.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series203.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (* b b) (* (* 4.0 a) c))
43.0ms
(- (* b b) (* (* 4.0 a) c))
63.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
60.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify80.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0149476
1576446
22486444
35001440

prune270.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.0b

localize85.0ms

Local error

Found 4 expressions with local error:

11.4b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
20.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))
20.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))
20.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×sqrt-prod
8×add-log-exp
7×pow1 add-cube-cbrt *-un-lft-identity
6×sqrt-div
4×add-exp-log add-cbrt-cube
3×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 flip--
2×sum-log
1×+-commutative neg-sub0 associate-+l- flip3-+ neg-log flip-+
Counts
4 → 58
Calls
4 calls:
11.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
8.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series262.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
67.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
65.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
63.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify116.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0232680
1883574
23567559
35001555

prune327.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.0b

localize87.0ms

Local error

Found 4 expressions with local error:

7.8b
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
20.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))
20.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))
20.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×sqrt-prod
8×add-log-exp
7×pow1 add-cube-cbrt *-un-lft-identity
6×sqrt-div
4×add-exp-log flip3-- add-cbrt-cube flip--
3×rem-sqrt-square sqrt-pow1 pow1/2
2×diff-log
1×associate--l- neg-sub0 sub-neg neg-log difference-of-squares
Counts
4 → 60
Calls
4 calls:
17.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
8.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series259.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
64.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
64.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
60.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify109.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0225725
1835631
23414609
35001589

prune323.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.0b

localize90.0ms

Local error

Found 4 expressions with local error:

20.8b
(sqrt (* (* (cbrt (- (* b b) (* (* 4.0 a) c))) (cbrt (- (* b b) (* (* 4.0 a) c)))) (cbrt (- (* b b) (* (* 4.0 a) c)))))
21.7b
(cbrt (- (* b b) (* (* 4.0 a) c)))
21.7b
(cbrt (- (* b b) (* (* 4.0 a) c)))
21.7b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×sqrt-div
24×pow1
15×sqrt-pow1
14×associate-*l/
12×pow1/3
9×cbrt-prod pow-prod-up
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-plus
5×pow-prod-down
4×add-exp-log add-cbrt-cube add-log-exp
3×pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 89
Calls
4 calls:
83.0ms
(sqrt (* (* (cbrt (- (* b b) (* (* 4.0 a) c))) (cbrt (- (* b b) (* (* 4.0 a) c)))) (cbrt (- (* b b) (* (* 4.0 a) c)))))
5.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
6.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
6.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(sqrt (* (* (cbrt (- (* b b) (* (* 4.0 a) c))) (cbrt (- (* b b) (* (* 4.0 a) c)))) (cbrt (- (* b b) (* (* 4.0 a) c)))))
88.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
89.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
91.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify184.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 3 (163.0ms)

IterNodesCost
03481856
19131805
241361785
350021704

prune380.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 7.0b

regimes157.0ms

Accuracy

92.2% (0.9b remaining)

Error of 8.5b against oracle of 7.6b and baseline of 19.5b

bsearch173.0ms

Steps
ItersRangePoint
10
8.043557394408689e+68
7.456819745307919e+79
6.930065906216891e+79
8
-1.2346399095727716e+156
-1.2603418216603327e+153
-1.3623882801654846e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04960
14960

end0.0ms

sample960.0ms

Algorithm
intervals
Results
459.0ms8770×body80valid
141.0ms3005×body80nan