Details

Time bar (total: 2.0s)

analyze361.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
21.8%78%0.1%6
26.5%73.3%0.1%7
32%67.9%0.1%8
46.4%52.7%0.9%9
50.9%47.2%1.9%10
54.3%43.3%2.4%11
62.1%32.5%5.4%12
64.3%28.1%7.6%13
66.3%24.6%9.2%14

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms24×body80invalid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
076610
176610

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.4b
(* (/ x y) z)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 78
Calls
3 calls:
6.0ms
(/ (+ x 4.0) y)
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

series20.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (+ x 4.0) y)
10.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

simplify67.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04945779
14945779

prune115.0ms

Filtered
62 candidates to 87 candidates (-40.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New83487
Fresh011
Picked101
Done000
Total84589

Merged error: 0b

Counts
89 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
2.4b
(* (/ x y) (- 1 z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
6×associate-*r*
5×frac-add
4×pow1 frac-times sub-neg flip3-- associate-*r/ flip-- add-log-exp
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*l/ prod-exp cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out--
Counts
2 → 59
Calls
2 calls:
7.0ms
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
9.0ms
(* (/ x y) (- 1 z))

series18.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
9.0ms
(* (/ x y) (- 1 z))

simplify47.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05327722

prune95.0ms

Filtered
52 candidates to 65 candidates (-25.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New64165
Fresh134
Picked011
Done000
Total65570

Merged error: 0b

Counts
70 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (/ x y) z)
12.1b
(cbrt (* (/ x y) z))
12.1b
(cbrt (* (/ x y) z))
12.1b
(cbrt (* (/ x y) z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*l/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
6.0ms
(* (/ x y) z)
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))

series69.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (/ x y) z)
20.0ms
(cbrt (* (/ x y) z))
23.0ms
(cbrt (* (/ x y) z))
21.0ms
(cbrt (* (/ x y) z))

simplify43.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05336500

prune98.0ms

Filtered
59 candidates to 74 candidates (-25.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done011
Total74579

Merged error: 0b

Counts
79 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
7.1b
(* x (/ z y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r/ associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 78
Calls
3 calls:
5.0ms
(/ (+ x 4.0) y)
9.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
6.0ms
(* x (/ z y))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (+ x 4.0) y)
9.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
5.0ms
(* x (/ z y))

simplify43.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05126791

prune90.0ms

Filtered
61 candidates to 87 candidates (-42.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh022
Picked011
Done022
Total87592

Merged error: 0b

Counts
92 → 5

regimes162.0ms

Accuracy

95.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch33.0ms

Steps
ItersRangePoint
8
2.1987415270829166e+18
3.1335677418291874e+22
6.128532177682799e+19
8
-22833122.038707625
-800.8985944373704
-22348263.607269768

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05731
15731

end0.0ms

sample529.0ms

Algorithm
intervals
Results
296.0ms8000×body80valid
42.0ms1122×body80invalid

Profiling

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