Details

Time bar (total: 2.9s)

analyze639.0ms

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
9.4%90.5%0.1%7
14%85.8%0.1%8
21.1%78%0.9%9
37.3%60.3%2.5%10
39.7%56.1%4.2%11
45.6%48.7%5.7%12
55.9%35.1%8.9%13
57.6%32.1%10.3%14

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms40×body80invalid

simplify222.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (220.0ms)

IterNodesCost
049409
149409

prune10.0ms

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 1 expressions with local error:

2.1b
(* x (/ (- 1 y) z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
22×associate-*r*
21×*-un-lft-identity
19×times-frac
12×add-cube-cbrt
6×add-exp-log add-cbrt-cube difference-of-squares
3×pow1 associate-*l* distribute-lft-out--
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 41
Calls
1 calls:
13.0ms
(* x (/ (- 1 y) z))

series8.0ms

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

simplify45.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05409370

prune56.0ms

Filtered
30 candidates to 44 candidates (-46.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New41344
Fresh101
Picked011
Done000
Total42446

Merged error: 0.0b

Counts
46 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (/ (- 1 y) z)) (cbrt (/ (- 1 y) z)))
2.5b
(cbrt (/ (- 1 y) z))
2.5b
(cbrt (/ (- 1 y) z))
2.5b
(cbrt (/ (- 1 y) z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
178×cbrt-prod
169×add-sqr-sqrt
163×*-un-lft-identity
144×times-frac
82×add-cube-cbrt
42×difference-of-squares
31×swap-sqr
27×distribute-lft-out--
25×associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 204
Calls
4 calls:
21.0ms
(* (cbrt (/ (- 1 y) z)) (cbrt (/ (- 1 y) z)))
5.0ms
(cbrt (/ (- 1 y) z))
5.0ms
(cbrt (/ (- 1 y) z))
5.0ms
(cbrt (/ (- 1 y) z))

series75.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt (/ (- 1 y) z)) (cbrt (/ (- 1 y) z)))
16.0ms
(cbrt (/ (- 1 y) z))
16.0ms
(cbrt (/ (- 1 y) z))
16.0ms
(cbrt (/ (- 1 y) z))

simplify97.0ms

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
048893201
148893201

prune381.0ms

Filtered
147 candidates to 216 candidates (-46.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2151216
Fresh022
Picked101
Done011
Total2164220

Merged error: 0.0b

Counts
220 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (/ (- 1 y) z)) (cbrt (/ (- 1 y) z)))
0.6b
(cbrt z)
2.5b
(cbrt (/ (- 1 y) z))
2.5b
(cbrt (/ (- 1 y) z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
159×cbrt-prod
151×add-sqr-sqrt
145×*-un-lft-identity
126×times-frac
73×add-cube-cbrt
36×difference-of-squares
31×swap-sqr
25×associate-*r* associate-*l*
24×distribute-lft-out--
11×pow1
9×pow1/3 unswap-sqr
6×add-exp-log cbrt-div div-inv
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 184
Calls
4 calls:
24.0ms
(* (cbrt (/ (- 1 y) z)) (cbrt (/ (- 1 y) z)))
1.0ms
(cbrt z)
4.0ms
(cbrt (/ (- 1 y) z))
5.0ms
(cbrt (/ (- 1 y) z))

series80.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (/ (- 1 y) z)) (cbrt (/ (- 1 y) z)))
24.0ms
(cbrt z)
16.0ms
(cbrt (/ (- 1 y) z))
16.0ms
(cbrt (/ (- 1 y) z))

simplify93.0ms

Algorithm
egg-herbie
Counts
196 → 196
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
063122870

prune343.0ms

Filtered
133 candidates to 196 candidates (-47.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1960196
Fresh022
Picked011
Done011
Total1964200

Merged error: 0.0b

Counts
200 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* x y))
3.8b
(/ (- x (* x y)) z)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
3.0ms
(- x (* x y))
4.0ms
(/ (- x (* x y)) z)

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(- x (* x y))
8.0ms
(/ (- x (* x y)) z)

simplify39.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05552467

prune40.0ms

Filtered
35 candidates to 47 candidates (-34.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New46147
Fresh101
Picked011
Done022
Total47451

Merged error: 0b

Counts
51 → 4

regimes151.0ms

Accuracy

91.5% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.5b

bsearch22.0ms

Steps
ItersRangePoint
8
3.2797482084549187e+99
5.016094098687434e+102
1.6128080895465512e+100
6
-1.2107799651116056e+37
-2.5154902034007675e+36
-1.1547986762301652e+37

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05327
15327

end0.0ms

sample449.0ms

Algorithm
intervals
Results
228.0ms8000×body80valid
30.0ms1111×body80invalid

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