Details

Time bar (total: 2.0s)

sample34.0ms

Algorithm
intervals
Results
14.0ms321×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune7.0ms

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: 1.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.1b
(* (/ x y) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
5.0ms
(/ (+ x 4.0) y)
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (+ x 4.0) y)
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

simplify112.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0341425
11212395
24964394
35001394

prune132.0ms

Filtered
88 candidates to 63 candidates (28.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689

Merged error: 0.0b

Counts
89 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
3.0b
(* (/ x y) (- 1 z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×associate-*r/
10×add-cube-cbrt times-frac frac-add
7×add-exp-log add-cbrt-cube
6×frac-times flip3-- associate-*r* flip--
5×un-div-inv
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
3×associate-*l/
2×prod-exp cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out--
Counts
2 → 68
Calls
2 calls:
9.0ms
(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
10.0ms
(* (/ x y) (- 1 z))

series18.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (* (/ x y) (- 1 z)) (* 4.0 (/ 1 y)))
8.0ms
(* (/ x y) (- 1 z))

simplify50.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0416496
11863440
25001435

prune95.0ms

Filtered
74 candidates to 50 candidates (32.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New74074
Fresh055
Picked011
Done000
Total74680

Merged error: 0.0b

Counts
80 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.1b
(* (/ x y) z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-exp-log cbrt-prod add-cbrt-cube
6×pow1
4×add-log-exp
3×pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt y)
3.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(* (/ x y) z)

series71.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
23.0ms
(cbrt y)
5.0ms
(* (/ x y) z)

simplify50.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0203281
1643254
22331223
35001220

prune96.0ms

Filtered
77 candidates to 58 candidates (24.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh044
Picked011
Done011
Total77683

Merged error: 0.0b

Counts
83 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.1b
(* (/ x (cbrt y)) z)
3.1b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×rec-exp 1-exp
4×associate-*r* pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
8.0ms
(* (/ x (cbrt y)) z)
16.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series77.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt y)
21.0ms
(cbrt y)
23.0ms
(* (/ x (cbrt y)) z)
10.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify52.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0510875
12079682
25001580

prune114.0ms

Filtered
127 candidates to 77 candidates (39.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh033
Picked011
Done022
Total1276133

Merged error: 0.0b

Counts
133 → 6

regimes175.0ms

Accuracy

77.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.7b

bsearch45.0ms

Steps
ItersRangePoint
10
4.103685135585366e-44
6.876149388267759e-32
9.384126219788447e-33
8
-2.8617227429042025e+99
-2.6907717808382143e+96
-6.559349685700772e+96

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03618
13618

end0.0ms

sample690.0ms

Algorithm
intervals
Results
347.0ms10107×body80valid

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