Details

Time bar (total: 3.6s)

sample57.0ms

Algorithm
intervals
Results
10.0ms191×body80valid
10.0ms32×body2560valid
7.0ms30×body1280valid
5.0ms97×body80nan
4.0ms6×body320valid
3.0ms14×body640valid
1.0ms3×body5120valid
0.0ms3×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.3b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.9b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
1.2b
(- (* b b) (* (* 3.0 a) c))
21.5b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite27.0ms

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:
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
3.0ms
(- (* b b) (* (* 3.0 a) c))
3.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
14.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
11.0ms
(- (* b b) (* (* 3.0 a) c))
14.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify43.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0391774
11518684
25001674

prune165.0ms

Filtered
82 candidates to 63 candidates (23.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New721082
Fresh000
Picked101
Done000
Total731083

Merged error: 5.2b

Counts
83 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

1.2b
(- (* b b) (* (* 3.0 a) c))
3.1b
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
9.9b
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
21.5b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt
79×*-un-lft-identity
39×add-cube-cbrt
30×associate-/l*
20×distribute-lft-out-- difference-of-squares
18×add-exp-log add-cbrt-cube
13×sqrt-prod
10×distribute-rgt-neg-in
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/ add-log-exp
5×pow1 flip3-- flip--
4×div-inv
3×associate-/l/
2×frac-2neg sqrt-div prod-exp clear-num cbrt-unprod
1×sub-neg rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 diff-log flip-+
Counts
4 → 148
Calls
4 calls:
3.0ms
(- (* b b) (* (* 3.0 a) c))
16.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
12.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
4.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series150.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* b b) (* (* 3.0 a) c))
63.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
63.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
14.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify111.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
06342580
131612341
250012328

prune298.0ms

Filtered
160 candidates to 106 candidates (33.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1573160
Fresh279
Picked101
Done000
Total16010170

Merged error: 5.1b

Counts
170 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

1.2b
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
1.2b
(- (* b b) (* (* 3.0 a) c))
14.7b
(/ (* 3.0 a) (* 3.0 (* a c)))
21.5b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-log-exp
9×*-un-lft-identity prod-exp cbrt-unprod
6×cbrt-undiv div-exp
5×pow1 add-cube-cbrt
4×sqrt-prod
3×flip3-- diff-log flip--
2×sub-neg sqrt-div distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 rem-sqrt-square distribute-rgt-neg-in frac-2neg sqrt-pow1 times-frac pow1/2 neg-log clear-num associate-/r* div-inv associate-/l*
Counts
4 → 70
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
3.0ms
(- (* b b) (* (* 3.0 a) c))
7.0ms
(/ (* 3.0 a) (* 3.0 (* a c)))
4.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
8.0ms
(- (* b b) (* (* 3.0 a) c))
2.0ms
(/ (* 3.0 a) (* 3.0 (* a c)))
15.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify63.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0414635
12438522
25002492

prune171.0ms

Filtered
82 candidates to 54 candidates (34.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New80282
Fresh189
Picked101
Done000
Total821092

Merged error: 5.1b

Counts
92 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (* (/ 1.0 c) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
1.2b
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
1.2b
(- (* b b) (* (* 3.0 a) c))
21.5b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
13×add-cbrt-cube
12×add-sqr-sqrt
11×*-un-lft-identity
10×add-log-exp
9×div-exp
8×pow1
7×add-cube-cbrt
6×prod-exp
5×flip3-- associate-/r/ flip--
4×cbrt-undiv sqrt-prod
3×rec-exp times-frac diff-log 1-exp associate-/l*
2×frac-times sub-neg pow-flip sqrt-div associate-*r/ cbrt-unprod distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 rem-sqrt-square distribute-rgt-neg-in frac-2neg sqrt-pow1 pow1/2 pow-prod-down neg-log associate-*l/ clear-num associate-/r* div-inv inv-pow
Counts
4 → 82
Calls
4 calls:
13.0ms
(/ 1 (* (/ 1.0 c) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
3.0ms
(- (* b b) (* (* 3.0 a) c))
4.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series90.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ 1 (* (/ 1.0 c) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
15.0ms
(- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
8.0ms
(- (* b b) (* (* 3.0 a) c))
14.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify51.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0440925
11882796
25003783

prune107.0ms

Filtered
94 candidates to 61 candidates (35.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New92294
Fresh459
Picked011
Done000
Total968104

Merged error: 5.1b

Counts
104 → 8

regimes385.0ms

Accuracy

94.9% (1.3b remaining)

Error of 7.0b against oracle of 5.7b and baseline of 30.5b

bsearch95.0ms

Steps
ItersRangePoint
10
4.2917270207488e+96
9.615152778888747e+106
9.868706749036709e+103
4
-2.929190226093098e-273
-1.585705674498503e-273
-1.6108040794669669e-273
9
-1.3279209152234913e+54
-5.495259451600425e+45
-1.307112579275623e+54

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04125
14125

end0.0ms

sample1.6s

Algorithm
intervals
Results
318.0ms1061×body2560valid
309.0ms5868×body80valid
212.0ms852×body1280valid
141.0ms2847×body80nan
92.0ms454×body640valid
36.0ms245×body320valid
35.0ms97×body5120valid
12.0ms126×body160valid

Profiling

Loading profile data...