Details

Time bar (total: 2.4s)

analyze376.0ms

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
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56.4%3.7%10
46.9%48.7%4.4%11
48%45.8%6.2%12
58.1%32.2%9.7%13
62.1%27.2%10.6%14

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
1.0ms38×body80invalid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (101.0ms)

IterNodesCost
053329

prune9.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ y 1.0) z)
0.0b
(- (* x (/ (+ y 1.0) z)) x)
2.3b
(* x (/ (+ y 1.0) z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
16×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 add-log-exp
4×associate-/l*
3×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 associate-*r/ pow-prod-down clear-num *-commutative flip-- flip-+
Counts
3 → 79
Calls
3 calls:
5.0ms
(/ (+ y 1.0) z)
6.0ms
(- (* x (/ (+ y 1.0) z)) x)
8.0ms
(* x (/ (+ y 1.0) z))

series22.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (+ y 1.0) z)
10.0ms
(- (* x (/ (+ y 1.0) z)) x)
8.0ms
(* x (/ (+ y 1.0) z))

simplify59.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05146804

prune107.0ms

Filtered
59 candidates to 88 candidates (-49.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New85388
Fresh011
Picked011
Done000
Total85590

Merged error: 0.0b

Counts
90 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (+ y 1.0))
0.0b
(- (* x (/ 1 (/ z (+ y 1.0)))) x)
0.1b
(/ 1 (/ z (+ y 1.0)))
2.3b
(* x (/ 1 (/ z (+ y 1.0))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
160×*-un-lft-identity
122×add-sqr-sqrt
108×add-cube-cbrt
59×associate-*r*
36×add-exp-log
25×distribute-lft-out
22×associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-+ flip-+
7×pow1 cbrt-undiv prod-exp
6×associate-/l* add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×sub-neg flip3-- pow-flip diff-log associate-*r/ pow-prod-down un-div-inv *-commutative flip-- inv-pow
Counts
4 → 228
Calls
4 calls:
5.0ms
(/ z (+ y 1.0))
11.0ms
(- (* x (/ 1 (/ z (+ y 1.0)))) x)
8.0ms
(/ 1 (/ z (+ y 1.0)))
19.0ms
(* x (/ 1 (/ z (+ y 1.0))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ z (+ y 1.0))
9.0ms
(- (* x (/ 1 (/ z (+ y 1.0)))) x)
8.0ms
(/ 1 (/ z (+ y 1.0)))
9.0ms
(* x (/ 1 (/ z (+ y 1.0))))

simplify55.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
051532495

prune259.0ms

Filtered
147 candidates to 240 candidates (-63.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2391240
Fresh123
Picked011
Done101
Total2414245

Merged error: 0.0b

Counts
245 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ y 1.0)) x)
2.2b
(* (/ x z) (+ y 1.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
4×pow1 associate-*r* add-log-exp
2×distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp associate--l+ cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 52
Calls
2 calls:
7.0ms
(- (* (/ x z) (+ y 1.0)) x)
8.0ms
(* (/ x z) (+ y 1.0))

series18.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(- (* (/ x z) (+ y 1.0)) x)
9.0ms
(* (/ x z) (+ y 1.0))

simplify30.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
05387574

prune62.0ms

Filtered
44 candidates to 58 candidates (-31.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh022
Picked011
Done011
Total58462

Merged error: 0.0b

Counts
62 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.5b
(/ (* x (+ (- y z) 1.0)) z)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
8.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

series17.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify50.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05000485

prune47.0ms

Filtered
34 candidates to 53 candidates (-55.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New52153
Fresh101
Picked011
Done112
Total54357

Merged error: 0b

Counts
57 → 3

regimes176.0ms

Accuracy

60.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02743
12743

end0.0ms

analyze358.0ms

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
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56.4%3.7%10
46.9%48.7%4.4%11
48%45.8%6.2%12
58.1%32.2%9.7%13
62.1%27.2%10.6%14

sample432.0ms

Algorithm
intervals
Results
228.0ms8000×body80valid
31.0ms1051×body80invalid

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