Details

Time bar (total: 3.0s)

sample26.0ms

Algorithm
intervals
Results
9.0ms330×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0224
1444
21144
32204
43544
55504
616694
750024

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.7b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- y z) 1.0)
0.0b
(* x (+ (- y z) 1.0))
8.0b
(/ (* x (+ (- y z) 1.0)) z)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/ distribute-lft-out
3×flip3-+ times-frac associate-*l* associate-/r* flip-+
2×cbrt-undiv associate-+l+ div-exp prod-exp sum-log cbrt-unprod associate-/l/ distribute-lft-out--
1×+-commutative distribute-rgt-in associate-+l- sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 64
Calls
3 calls:
9.0ms
(+ (- y z) 1.0)
8.0ms
(* x (+ (- y z) 1.0))
9.0ms
(/ (* x (+ (- y z) 1.0)) z)

series99.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (- y z) 1.0)
38.0ms
(* x (+ (- y z) 1.0))
45.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify36.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0275354
11251300
25002300

prune189.0ms

Filtered
73 candidates to 47 candidates (35.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New68573
Fresh000
Picked101
Done000
Total69574

Merged error: 0.0b

Counts
74 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x y) z) (* 1.0 (/ x z)))
0.0b
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
4.8b
(/ (* x y) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv diff-log div-exp sum-log
1×+-commutative sub-neg flip3-- frac-2neg flip3-+ associate-*r/ frac-add prod-exp associate--l+ clear-num flip-- cbrt-unprod flip-+ div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 49
Calls
3 calls:
5.0ms
(+ (/ (* x y) z) (* 1.0 (/ x z)))
8.0ms
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
4.0ms
(/ (* x y) z)

series121.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ (/ (* x y) z) (* 1.0 (/ x z)))
46.0ms
(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
22.0ms
(/ (* x y) z)

simplify32.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0254367
11124344
25002325

prune153.0ms

Filtered
58 candidates to 40 candidates (31.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New58058
Fresh044
Picked011
Done000
Total58563

Merged error: 0.0b

Counts
63 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- y z) 1.0)
0.0b
(/ (+ (- y z) 1.0) z)
3.4b
(* x (/ (+ (- y z) 1.0) z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
31×times-frac
28×add-sqr-sqrt
23×add-cube-cbrt
19×associate-*r*
16×distribute-lft-out
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- add-log-exp
5×pow1 associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv associate-+l- associate-+l+ flip3-+ div-exp prod-exp sum-log cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×+-commutative sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 93
Calls
3 calls:
9.0ms
(+ (- y z) 1.0)
8.0ms
(/ (+ (- y z) 1.0) z)
12.0ms
(* x (/ (+ (- y z) 1.0) z))

series95.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (- y z) 1.0)
32.0ms
(/ (+ (- y z) 1.0) z)
47.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify39.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0306548
11235500
25001494

prune221.0ms

Filtered
102 candidates to 58 candidates (43.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1011102
Fresh033
Picked011
Done011
Total1016107

Merged error: 0b

Counts
107 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* x (/ (+ (- y z) 1.0) z)))
3.4b
(* x (/ (+ (- y z) 1.0) z))
3.4b
(* x (/ (+ (- y z) 1.0) z))
3.4b
(* x (/ (+ (- y z) 1.0) z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
57×associate-*r*
49×add-sqr-sqrt
48×times-frac
34×add-cube-cbrt
19×add-exp-log add-cbrt-cube
18×distribute-lft-out
10×pow1
9×associate-*l* distribute-lft-out--
6×prod-exp cbrt-unprod unswap-sqr
4×associate-*r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
1×cbrt-prod cbrt-div pow1/3
Counts
4 → 124
Calls
4 calls:
8.0ms
(cbrt (* x (/ (+ (- y z) 1.0) z)))
12.0ms
(* x (/ (+ (- y z) 1.0) z))
12.0ms
(* x (/ (+ (- y z) 1.0) z))
12.0ms
(* x (/ (+ (- y z) 1.0) z))

series327.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt (* x (/ (+ (- y z) 1.0) z)))
44.0ms
(* x (/ (+ (- y z) 1.0) z))
47.0ms
(* x (/ (+ (- y z) 1.0) z))
48.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify46.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0337888
11383796
25002794

prune473.0ms

Filtered
136 candidates to 87 candidates (36.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh033
Picked011
Done022
Total1366142

Merged error: 0b

Counts
142 → 6

regimes190.0ms

Accuracy

88.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.3b

bsearch92.0ms

Steps
ItersRangePoint
10
13535024530418066.0
7.497465860442745e+25
1.7666501344629482e+21
7
-3.9616453580788827e+114
-1.99292467932718e+112
-2.0498371533245637e+112

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02810
12810

end0.0ms

sample639.0ms

Algorithm
intervals
Results
281.0ms10162×body80valid

Profiling

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