Details

Time bar (total: 2.6s)

analyze374.0ms

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

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms27×body80invalid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (96.0ms)

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: 0.1b

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)
5.6b
(* 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))

series21.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (+ y 1.0) z)
9.0ms
(- (* x (/ (+ y 1.0) z)) x)
8.0ms
(* x (/ (+ y 1.0) z))

simplify60.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05146804

prune113.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New81788
Fresh011
Picked011
Done000
Total81990

Merged error: 0b

Counts
90 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y 1.0))
0.0b
(- (* (* x (+ y 1.0)) (/ 1 z)) x)
3.3b
(* (* x (+ y 1.0)) (/ 1 z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×associate-*r* add-cbrt-cube
14×add-sqr-sqrt *-un-lft-identity
13×prod-exp
12×add-cube-cbrt
10×pow1
9×times-frac
7×associate-*r/ cbrt-unprod
5×add-log-exp
4×div-exp associate-*l* pow-prod-down
3×flip3-+ flip-+
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ *-commutative
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in diff-log un-div-inv flip-- div-inv distribute-lft-out unswap-sqr
Counts
3 → 76
Calls
3 calls:
5.0ms
(* x (+ y 1.0))
8.0ms
(- (* (* x (+ y 1.0)) (/ 1 z)) x)
9.0ms
(* (* x (+ y 1.0)) (/ 1 z))

series21.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* x (+ y 1.0))
8.0ms
(- (* (* x (+ y 1.0)) (/ 1 z)) x)
8.0ms
(* (* x (+ y 1.0)) (/ 1 z))

simplify32.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05171734

prune85.0ms

Filtered
48 candidates to 85 candidates (-77.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh257
Picked011
Done011
Total86894

Merged error: 0b

Counts
94 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

5.6b
(* x (/ (+ y 1.0) z))
6.2b
(cbrt (* x (/ (+ y 1.0) z)))
6.2b
(cbrt (* x (/ (+ y 1.0) z)))
6.2b
(cbrt (* x (/ (+ y 1.0) z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×add-sqr-sqrt
16×associate-*r*
13×add-cube-cbrt times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*r/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*l* distribute-lft-out
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 65
Calls
4 calls:
8.0ms
(* x (/ (+ y 1.0) z))
5.0ms
(cbrt (* x (/ (+ y 1.0) z)))
5.0ms
(cbrt (* x (/ (+ y 1.0) z)))
5.0ms
(cbrt (* x (/ (+ y 1.0) z)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* x (/ (+ y 1.0) z))
25.0ms
(cbrt (* x (/ (+ y 1.0) z)))
25.0ms
(cbrt (* x (/ (+ y 1.0) z)))
28.0ms
(cbrt (* x (/ (+ y 1.0) z)))

simplify32.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05825856

prune154.0ms

Filtered
60 candidates to 77 candidates (-28.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh055
Picked011
Done022
Total77885

Merged error: 0b

Counts
85 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
7.8b
(/ (* x (+ (- y z) 1.0)) z)

rewrite21.0ms

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:
10.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

series29.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(* x (+ (- y z) 1.0))
16.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify53.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05000485

prune49.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New52153
Fresh134
Picked011
Done123
Total54761

Merged error: 0b

Counts
61 → 7

regimes280.0ms

Accuracy

96.1% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.6b

bsearch189.0ms

Steps
ItersRangePoint
3
1.8182520008494134e-10
2.2932041442565575e-10
2.0854125815159318e-10
7
-7.632399525625202e+38
-4.2346417756800097e+37
-8.84601059656714e+37

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02527
12527

end0.0ms

analyze357.0ms

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

sample440.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid
36.0ms1095×body80invalid

Profiling

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