Details

Time bar (total: 3.5s)

analyze267.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14

sample54.0ms

Algorithm
intervals
Results
17.0ms115×body320valid
11.0ms90×body160valid
8.0ms289×pre80true
4.0ms19×body640valid
2.0ms33×body80nan
2.0ms32×body80valid

simplify180.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (179.0ms)

IterNodesCost
0178416
1178416

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 52.3b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* 3.0 (* a c)))
0.2b
(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
0.3b
(* 3.0 (* a c))
25.4b
(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-exp-log add-cbrt-cube
13×*-un-lft-identity
9×pow1
8×add-log-exp
7×add-cube-cbrt
6×times-frac associate-/l* difference-of-squares
4×prod-exp cbrt-unprod
3×flip3-- associate-*l* pow-prod-down sqrt-prod flip-- distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp associate-/l/
1×frac-2neg div-sub associate-*r* clear-num associate-/r* *-commutative div-inv
Counts
4 → 73
Calls
4 calls:
4.0ms
(- (* b b) (* 3.0 (* a c)))
10.0ms
(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
5.0ms
(* 3.0 (* a c))
7.0ms
(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

series53.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* b b) (* 3.0 (* a c)))
27.0ms
(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
3.0ms
(* 3.0 (* a c))
15.0ms
(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

simplify47.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
054611199

prune124.0ms

Filtered
59 candidates to 85 candidates (-44.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New80585
Fresh000
Picked101
Done000
Total81586

Merged error: 0.1b

Counts
86 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 3.0 (* a c))
0.3b
(* 3.0 (* a (neg c)))
0.3b
(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
0.4b
(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log add-cbrt-cube
22×times-frac
20×*-un-lft-identity
19×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
14×pow1
12×add-sqr-sqrt add-cube-cbrt
11×associate-/l*
6×associate-*l* pow-prod-down associate-/r/ distribute-rgt-neg-out
5×associate-/r*
4×div-inv distribute-lft-out add-log-exp
3×flip3-+ distribute-frac-neg flip-+
2×frac-2neg associate-*r* clear-num *-commutative
1×associate-/l/
Counts
4 → 114
Calls
4 calls:
5.0ms
(* 3.0 (* a c))
5.0ms
(* 3.0 (* a (neg c)))
11.0ms
(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
15.0ms
(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series104.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* a c))
3.0ms
(* 3.0 (* a (neg c)))
55.0ms
(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
42.0ms
(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify53.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049831982
149831982

prune168.0ms

Filtered
76 candidates to 126 candidates (-65.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1206126
Fresh404
Picked101
Done000
Total1256131

Merged error: 0b

Counts
131 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
0.3b
(/ 1 (* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 (neg c))))
0.3b
(* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 (neg c)))
0.3b
(* 3.0 (* a c))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
35×add-sqr-sqrt times-frac associate-*r*
33×*-un-lft-identity
28×add-cube-cbrt
23×add-cbrt-cube
19×prod-exp
18×div-exp
14×pow1
9×distribute-lft-neg-in rec-exp distribute-rgt-neg-in 1-exp
7×associate-*l* cbrt-unprod
6×associate-/r/ add-log-exp
5×cbrt-undiv flip3-+ pow-prod-down flip-+
4×frac-times associate-*l/
3×neg-mul-1 associate-/l* unswap-sqr
2×pow-flip associate-*r/ un-div-inv *-commutative div-inv distribute-lft-out
1×+-commutative frac-2neg clear-num associate-/r* sum-log inv-pow
Counts
4 → 136
Calls
4 calls:
6.0ms
(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
13.0ms
(/ 1 (* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 (neg c))))
17.0ms
(* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 (neg c)))
5.0ms
(* 3.0 (* a c))

series68.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
31.0ms
(/ 1 (* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 (neg c))))
20.0ms
(* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 1 (neg c)))
3.0ms
(* 3.0 (* a c))

simplify64.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049752175
149752175

prune181.0ms

Filtered
93 candidates to 148 candidates (-59.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1471148
Fresh145
Picked011
Done000
Total1486154

Merged error: 0b

Counts
154 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
0.3b
(/ 1 (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))))
0.3b
(* 3.0 (* a c))
0.4b
(* (* a (neg c)) (/ 1 (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
65×add-exp-log
35×add-cbrt-cube
33×prod-exp
17×pow1
15×cbrt-unprod
12×div-exp
11×*-un-lft-identity
10×associate-*r*
9×add-sqr-sqrt add-cube-cbrt
7×pow-prod-down
6×cbrt-undiv rec-exp times-frac 1-exp add-log-exp
5×associate-*r/
4×associate-*l* associate-/r/
3×flip3-+ flip-+ associate-/l*
2×pow-flip *-commutative div-inv
1×+-commutative distribute-lft-neg-out frac-2neg clear-num associate-/r* sum-log un-div-inv distribute-rgt-neg-out distribute-lft-out inv-pow
Counts
4 → 103
Calls
4 calls:
6.0ms
(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
9.0ms
(/ 1 (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))))
5.0ms
(* 3.0 (* a c))
14.0ms
(* (* a (neg c)) (/ 1 (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
38.0ms
(/ 1 (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))))
3.0ms
(* 3.0 (* a c))
41.0ms
(* (* a (neg c)) (/ 1 (* a (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))))

simplify32.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
052161480

prune114.0ms

Filtered
69 candidates to 115 candidates (-66.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1150115
Fresh044
Picked011
Done011
Total1156121

Merged error: 0b

Counts
121 → 6

regimes172.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06019
16019

end0.0ms

sample1.5s

Algorithm
intervals
Results
538.0ms3640×body320valid
295.0ms2926×body160valid
260.0ms8784×pre80true
110.0ms560×body640valid
48.0ms874×body80valid
38.0ms784×body80nan

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