Details

Time bar (total: 2.6s)

analyze398.0ms

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

sample34.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049309
149309

prune19.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ y 1.0) z)
0.0b
(- (* x (/ (+ y 1.0) z)) x)
4.2b
(* x (/ (+ y 1.0) z))

rewrite33.0ms

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)
11.0ms
(- (* x (/ (+ y 1.0) z)) x)
15.0ms
(* x (/ (+ y 1.0) z))

series22.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05158804

prune108.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.2b
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y 1.0) (cbrt z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
36×*-un-lft-identity
34×times-frac
28×associate-*r*
25×add-exp-log
24×add-cube-cbrt
23×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
17.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y 1.0) (cbrt z)))

series77.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt z)
21.0ms
(cbrt z)
23.0ms
(cbrt z)
13.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y 1.0) (cbrt z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04941995
14941995

prune127.0ms

Filtered
73 candidates to 110 candidates (-50.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh033
Picked101
Done011
Total1105115

Merged error: 0.0b

Counts
115 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y 1.0))
0.0b
(- (* (* x (+ y 1.0)) (/ 1 z)) x)
4.7b
(* (* x (+ y 1.0)) (/ 1 z))

rewrite29.0ms

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:
6.0ms
(* x (+ y 1.0))
10.0ms
(- (* (* x (+ y 1.0)) (/ 1 z)) x)
11.0ms
(* (* x (+ y 1.0)) (/ 1 z))

series20.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* x (+ y 1.0))
8.0ms
(- (* (* x (+ y 1.0)) (/ 1 z)) x)
7.0ms
(* (* x (+ y 1.0)) (/ 1 z))

simplify46.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05140736

prune93.0ms

Filtered
50 candidates to 85 candidates (-70.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh123
Picked011
Done011
Total85590

Merged error: 0.0b

Counts
90 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
13.3b
(/ (* x (+ (- y z) 1.0)) z)

rewrite19.0ms

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

series16.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05087485

prune53.0ms

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New52153
Fresh112
Picked011
Done022
Total53558

Merged error: 0.0b

Counts
58 → 5

regimes273.0ms

Accuracy

92.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04943
14943

end0.0ms

sample950.0ms

Algorithm
intervals
Results
270.0ms8000×body80valid

Profiling

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