Details

Time bar (total: 1.6s)

analyze60.0ms

Algorithm
search

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms2×body80invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* x y))
0.1b
(* x (- 1.0 (* x y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
2.0ms
(- 1.0 (* x y))
5.0ms
(* x (- 1.0 (* x y)))

series10.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 1.0 (* x y))
6.0ms
(* x (- 1.0 (* x y)))

simplify90.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0138190
1581168
23052168
35001168

prune60.0ms

Filtered
26 candidates to 42 candidates (-61.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New36642
Fresh000
Picked011
Done000
Total36743

Merged error: 0.0b

Counts
43 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series91.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt x) (cbrt x))
23.0ms
(cbrt x)
21.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune82.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh145
Picked011
Done011
Total84892

Merged error: 0.0b

Counts
92 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* x y))
0.3b
(* (* x y) (* x y))
0.6b
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
7.7b
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
23×add-exp-log add-cbrt-cube
18×pow-prod-down
10×add-sqr-sqrt prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×associate-*r*
4×associate-*r/ associate-*l* pow-sqr pow-prod-up
3×times-frac associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ pow-plus div-exp associate-/r/ *-commutative flip-- flip-+ associate-/l/
1×+-commutative pow2 frac-2neg swap-sqr clear-num sum-log div-inv associate-/l* difference-of-squares unswap-sqr
Counts
4 → 95
Calls
4 calls:
2.0ms
(+ 1.0 (* x y))
6.0ms
(* (* x y) (* x y))
6.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
8.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series37.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ 1.0 (* x y))
6.0ms
(* (* x y) (* x y))
12.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
15.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0397702
12174578
25001578

prune100.0ms

Filtered
61 candidates to 107 candidates (-75.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1052107
Fresh415
Picked101
Done022
Total1105115

Merged error: 0b

Counts
115 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ 1.0 (* x y)) (* x (- (* 1.0 1.0) (* (* x y) (* x y))))))
0.3b
(* (* x y) (* x y))
0.6b
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
7.7b
(/ (+ 1.0 (* x y)) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
46×pow1
44×add-exp-log
42×times-frac
32×add-cbrt-cube
28×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
18×pow-prod-down
14×div-exp
13×prod-exp
12×associate-*r/
11×associate-/r/ cbrt-unprod
10×associate-/r*
7×cbrt-undiv
6×flip3-- flip-- div-inv associate-/l*
5×associate-*r*
4×associate-*l* pow-sqr pow-prod-up add-log-exp
3×rec-exp 1-exp
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in pow-plus clear-num *-commutative associate-/l/
1×pow2 pow-flip flip3-+ swap-sqr flip-+ inv-pow difference-of-squares unswap-sqr
Counts
4 → 148
Calls
4 calls:
10.0ms
(/ 1 (/ (+ 1.0 (* x y)) (* x (- (* 1.0 1.0) (* (* x y) (* x y))))))
6.0ms
(* (* x y) (* x y))
8.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
9.0ms
(/ (+ 1.0 (* x y)) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ 1 (/ (+ 1.0 (* x y)) (* x (- (* 1.0 1.0) (* (* x y) (* x y))))))
6.0ms
(* (* x y) (* x y))
12.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
20.0ms
(/ (+ 1.0 (* x y)) (* x (- (* 1.0 1.0) (* (* x y) (* x y)))))

simplify101.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
06061697
133071462
250011410

prune129.0ms

Filtered
81 candidates to 160 candidates (-97.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1600160
Fresh022
Picked011
Done022
Total1605165

Merged error: 0b

Counts
165 → 5

regimes121.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

analyze58.0ms

Algorithm
search

sample294.0ms

Algorithm
intervals
Results
178.0ms8000×body80valid
1.0ms70×body80invalid

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