Details

Time bar (total: 2.9s)

sample16.0ms

Algorithm
intervals
Results
8.0ms356×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
5.0ms
(* x (- 1.0 (* x y)))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* x (- 1.0 (* x y)))

simplify88.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122130
1534113
22890113
35001113

prune43.0ms

Filtered
27 candidates to 16 candidates (59.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New22527
Fresh000
Picked011
Done000
Total22628

Merged error: 0.0b

Counts
28 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
8.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series921.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(cbrt (- 1.0 (* x y)))
233.0ms
(cbrt (- 1.0 (* x y)))
227.0ms
(cbrt (- 1.0 (* x y)))
224.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03541088
113681031
25001970

prune220.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh044
Picked011
Done011
Total996105

Merged error: 0.0b

Counts
105 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (* x y) (* x y))
1.0b
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
7.3b
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
22×add-exp-log add-cbrt-cube
18×pow-prod-down
10×prod-exp cbrt-unprod
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×associate-*r*
4×associate-*r/ associate-*l* pow-sqr pow-prod-up
3×times-frac associate-/r* add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in pow-plus div-exp associate-/r/ *-commutative flip-- associate-/l/
1×pow2 frac-2neg flip3-+ swap-sqr clear-num flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
6.0ms
(* (* x y) (* x y))
6.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
9.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series198.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* (* x y) (* x y))
73.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
89.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0381646
12121527
25003527

prune117.0ms

Filtered
93 candidates to 51 candidates (54.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New91293
Fresh213
Picked011
Done022
Total93699

Merged error: 0b

Counts
99 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ x (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y)))))
0.3b
(* (* x y) (* x y))
5.5b
(/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
63×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×pow1
22×add-exp-log associate-/r* add-cbrt-cube
17×pow-prod-down
16×difference-of-squares
11×associate-/r/
8×prod-exp cbrt-unprod
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp pow-sqr pow-prod-up
3×add-log-exp
2×frac-2neg pow-plus clear-num associate-/l/
1×pow2 flip3-+ swap-sqr associate-*r* associate-*l* *-commutative flip-+
Counts
3 → 159
Calls
3 calls:
9.0ms
(/ x (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y)))))
6.0ms
(* (* x y) (* x y))
7.0ms
(/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y))))

series198.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(/ x (/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y)))))
31.0ms
(* (* x y) (* x y))
77.0ms
(/ (+ 1.0 (* x y)) (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify128.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
06682179
137311979
250011916

prune274.0ms

Filtered
168 candidates to 124 candidates (73.8%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1680168
Fresh022
Picked011
Done033
Total1686174

Merged error: 0b

Counts
174 → 6

regimes60.0ms

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 (1.0ms)

IterNodesCost
083
183

end0.0ms

sample399.0ms

Algorithm
intervals
Results
237.0ms10757×body80valid

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