Details

Time bar (total: 1.9s)

analyze263.0ms

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
12.5%87.4%0.1%7
31.2%68.6%0.1%8
35.9%60.8%3.3%9
44.1%48%7.9%10
54.8%36.9%8.3%11
57.6%31.5%10.9%12
61.9%24%14.1%13
67.2%18.6%14.2%14

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms22×body80invalid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
07339
17339

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 2.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
2.0b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×sub-neg flip3-- associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-rgt-in distribute-lft-in distribute-lft-out-- difference-of-squares
Counts
2 → 44
Calls
2 calls:
197.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (- 1.0 y) z)
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify37.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05015430

prune105.0ms

Filtered
36 candidates to 50 candidates (-38.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New41950
Fresh000
Picked101
Done000
Total42951

Merged error: 1.9b

Counts
51 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* z (- y 1.0))))
0.0b
(* z (- y 1.0))
2.0b
(* x (* z (- y 1.0)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt sub-neg add-cbrt-cube
9×distribute-rgt-in distribute-lft-in
8×*-un-lft-identity
6×add-cube-cbrt associate-*r/ associate-*r* associate-*l*
5×add-log-exp
4×associate-+r+ pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
5.0ms
(+ (* x 1.0) (* x (* z (- y 1.0))))
6.0ms
(* z (- y 1.0))
7.0ms
(* x (* z (- y 1.0)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ (* x 1.0) (* x (* z (- y 1.0))))
5.0ms
(* z (- y 1.0))
9.0ms
(* x (* z (- y 1.0)))

simplify37.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04954615
14954615

prune96.0ms

Filtered
46 candidates to 73 candidates (-58.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New71273
Fresh538
Picked011
Done000
Total76682

Merged error: 0.0b

Counts
82 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
1.9b
(* (* x z) (- y 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×sub-neg add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 37
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms
(* (* x z) (- y 1.0))

series22.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
10.0ms
(* (* x z) (- y 1.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04962415
14962415

prune66.0ms

Filtered
30 candidates to 43 candidates (-43.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New43043
Fresh044
Picked011
Done011
Total43649

Merged error: 0.0b

Counts
49 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* z (- y 1.0))) (cbrt x)))
1.3b
(* (+ 1.0 (* z (- y 1.0))) (cbrt x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*r*
4×associate-*l* associate-*l/ add-log-exp
2×flip3-+ pow1/3 associate-*r/ *-commutative flip-+ unswap-sqr
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* z (- y 1.0))) (cbrt x)))
6.0ms
(* (+ 1.0 (* z (- y 1.0))) (cbrt x))

series81.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
21.0ms
(cbrt x)
15.0ms
(* (* (cbrt x) (cbrt x)) (* (+ 1.0 (* z (- y 1.0))) (cbrt x)))
24.0ms
(* (+ 1.0 (* z (- y 1.0))) (cbrt x))

simplify55.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04963719
14963719

prune87.0ms

Filtered
54 candidates to 82 candidates (-51.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done022
Total82688

Merged error: 0.0b

Counts
88 → 6

regimes218.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05411
15411

end0.0ms

sample427.0ms

Algorithm
intervals
Results
231.0ms8000×body80valid
18.0ms674×body80invalid

Profiling

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