Details

Time bar (total: 5.9s)

sample50.0ms

Algorithm
intervals
Results
9.0ms196×body80valid
8.0ms33×body2560valid
5.0ms24×body1280valid
4.0ms87×body80nan
2.0ms14×body640valid
1.0ms8×body320valid
0.0ms5×body160valid
0.0ms1×body5120valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029

prune5.0ms

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

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
1.4b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
23.0b
(sqrt (- (* b b) (* (* 3.0 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
(- (* b b) (* (* 3.0 a) c))
12.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
4.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series427.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (* b b) (* (* 3.0 a) c))
176.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
99.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
96.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify45.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0391774
11518684
25001674

prune385.0ms

Filtered
82 candidates to 63 candidates (23.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New73982
Fresh000
Picked101
Done000
Total74983

Merged error: 6.4b

Counts
83 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.2b
(- (* b b) (* (* 3.0 a) c))
1.4b
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
23.0b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 *-un-lft-identity add-log-exp
9×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt
3×associate-*r* pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×flip3-- sqrt-div sum-log flip-- distribute-lft-out
1×+-commutative neg-sub0 associate-+l- sub-neg rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 flip3-+ pow1/2 diff-log associate-*l* neg-log *-commutative flip-+
Counts
4 → 60
Calls
4 calls:
5.0ms
(* (* 3.0 a) c)
3.0ms
(- (* b b) (* (* 3.0 a) c))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
4.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series279.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* 3.0 a) c)
59.0ms
(- (* b b) (* (* 3.0 a) c))
101.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))
94.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify43.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0302468
11299428
25002417

prune439.0ms

Filtered
72 candidates to 52 candidates (27.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New70272
Fresh088
Picked011
Done000
Total701181

Merged error: 6.4b

Counts
81 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* 3.0 (* a c)))
0.3b
(* 3.0 (* a c))
1.4b
(+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
23.0b
(sqrt (- (* b b) (* 3.0 (* a c))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 *-un-lft-identity add-log-exp
9×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×add-cube-cbrt
3×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×flip3-- sqrt-div sum-log flip-- distribute-lft-out
1×+-commutative neg-sub0 associate-+l- sub-neg rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 flip3-+ pow1/2 diff-log associate-*r* neg-log *-commutative flip-+
Counts
4 → 60
Calls
4 calls:
3.0ms
(- (* b b) (* 3.0 (* a c)))
5.0ms
(* 3.0 (* a c))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
4.0ms
(sqrt (- (* b b) (* 3.0 (* a c))))

series291.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (* b b) (* 3.0 (* a c)))
25.0ms
(* 3.0 (* a c))
111.0ms
(+ (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
94.0ms
(sqrt (- (* b b) (* 3.0 (* a c))))

simplify130.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
0292467
11079427
24710416
35003415

prune393.0ms

Filtered
72 candidates to 49 candidates (31.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New71172
Fresh189
Picked011
Done101
Total731083

Merged error: 6.4b

Counts
83 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))
0.3b
(* (cbrt 3.0) (* a c))
1.4b
(+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))
23.0b
(sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1
30×add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
11×*-un-lft-identity
8×add-sqr-sqrt add-log-exp
7×add-cube-cbrt associate-*l*
3×cbrt-prod sqrt-prod
2×sqrt-div associate-*r* sum-log *-commutative distribute-lft-out
1×+-commutative neg-sub0 associate-+l- rem-sqrt-square flip3-- distribute-rgt-neg-in sqrt-pow1 flip3-+ pow1/2 neg-log flip-- flip-+
Counts
4 → 79
Calls
4 calls:
12.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))
6.0ms
(* (cbrt 3.0) (* a c))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))
4.0ms
(sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))

series520.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))
59.0ms
(* (cbrt 3.0) (* a c))
191.0ms
(+ (neg b) (sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c))))))
177.0ms
(sqrt (- (* b b) (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* a c)))))

simplify58.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0378856
11496724
25002687

prune505.0ms

Filtered
91 candidates to 54 candidates (40.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh088
Picked011
Done011
Total9110101

Merged error: 6.4b

Counts
101 → 10

regimes607.0ms

Accuracy

84.7% (4.4b remaining)

Error of 10.1b against oracle of 5.7b and baseline of 34.5b

bsearch156.0ms

Steps
ItersRangePoint
8
1.0400422964760881e-57
2.908776702533752e-54
1.0543332133493337e-57
10
-1.5262535002821125e+142
-1.5364234610613206e+132
-4.875636747733007e+140

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03416
13416

end0.0ms

sample1.4s

Algorithm
intervals
Results
273.0ms1054×body2560valid
269.0ms5861×body80valid
195.0ms912×body1280valid
125.0ms2906×body80nan
80.0ms467×body640valid
38.0ms112×body5120valid
31.0ms227×body320valid
9.0ms105×body160valid

Profiling

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