Details

Time bar (total: 1.7s)

analyze297.0ms

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
21.8%78%0.1%7
26.5%73.3%0.1%8
36.7%63.2%0.1%9
41.3%49.9%8.7%10
47.2%43.3%9.5%11
54.4%35.5%10.1%12
57.9%27.4%14.7%13
61.7%23.2%15.1%14

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms17×body80invalid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
06737
16737

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×associate-*r*
4×frac-times associate-*l*
3×pow1 add-exp-log add-cube-cbrt flip3-- flip3-+ add-cbrt-cube flip-- flip-+
2×sub-neg associate-*r/ associate-*l/
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 31
Calls
1 calls:
8.0ms
(* (+ x y) (- 1.0 z))

series8.0ms

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

simplify39.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05170379

prune49.0ms

Filtered
25 candidates to 34 candidates (-36.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New31334
Fresh000
Picked011
Done000
Total31435

Merged error: 0b

Counts
35 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (+ x y) 1.0) (* (+ x y) (neg z)))
0.0b
(* (+ x y) (neg z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r* associate-*l/
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt flip3-+ flip-+
4×pow1 add-exp-log associate-*l* frac-add add-cbrt-cube add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×distribute-rgt-neg-out distribute-lft-out
1×+-commutative neg-mul-1 unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
9.0ms
(+ (* (+ x y) 1.0) (* (+ x y) (neg z)))
7.0ms
(* (+ x y) (neg z))

series18.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* (+ x y) 1.0) (* (+ x y) (neg z)))
7.0ms
(* (+ x y) (neg z))

simplify45.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04920536
14920536

prune56.0ms

Filtered
39 candidates to 52 candidates (-33.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh022
Picked011
Done011
Total52456

Merged error: 0b

Counts
56 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 z))
0.0b
(sqrt (- 1.0 z))
0.1b
(* (+ x y) (sqrt (- 1.0 z)))
0.1b
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
32×frac-times
25×add-sqr-sqrt
23×flip3-- flip--
21×*-un-lft-identity sqrt-prod
16×associate-*r* associate-*l/
13×pow1
12×flip3-+ flip-+
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
5×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
1×distribute-lft-out
Counts
4 → 116
Calls
4 calls:
3.0ms
(sqrt (- 1.0 z))
3.0ms
(sqrt (- 1.0 z))
9.0ms
(* (+ x y) (sqrt (- 1.0 z)))
14.0ms
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

series30.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (- 1.0 z))
3.0ms
(sqrt (- 1.0 z))
15.0ms
(* (+ x y) (sqrt (- 1.0 z)))
8.0ms
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050481796

prune179.0ms

Filtered
94 candidates to 128 candidates (-36.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh011
Picked011
Done022
Total1284132

Merged error: 0b

Counts
132 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 z) (sqrt (+ x y)))
0.3b
(* (sqrt (+ x y)) (* (- 1.0 z) (sqrt (+ x y))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
42×sqrt-div
32×frac-times
21×flip3-+ flip-+
16×associate-*r/
13×add-sqr-sqrt *-un-lft-identity
12×flip3-- associate-*l* flip--
10×associate-*l/
9×pow1 add-exp-log sqrt-prod add-cbrt-cube
8×associate-*r*
7×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×*-commutative distribute-lft-out add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 81
Calls
2 calls:
9.0ms
(* (- 1.0 z) (sqrt (+ x y)))
14.0ms
(* (sqrt (+ x y)) (* (- 1.0 z) (sqrt (+ x y))))

series22.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(* (- 1.0 z) (sqrt (+ x y)))
11.0ms
(* (sqrt (+ x y)) (* (- 1.0 z) (sqrt (+ x y))))

simplify45.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049811399
149811399

prune95.0ms

Filtered
66 candidates to 87 candidates (-31.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New87087
Fresh000
Picked011
Done033
Total87491

Merged error: 0b

Counts
91 → 4

regimes273.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197
1197

end0.0ms

sample372.0ms

Algorithm
intervals
Results
190.0ms7998×body80valid
12.0ms542×body80invalid
0.0ms1×body640valid
0.0ms1×body320valid

Profiling

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