Details

Time bar (total: 2.1s)

sample100.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results
18.0ms326×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.7b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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
pow1 add-log-exp
distribute-lft-out associate-/l*
associate-*r* associate-*l/ associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
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:
8.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms
(/ (+ x 4.0) y)
6.0ms
(* (/ x y) z)

series18.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
4.0ms
(/ (+ x 4.0) y)
5.0ms
(* (/ x y) z)

simplify115.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0341425
11212395
24964394
35001394

prune139.0ms

Filtered
63 candidates to 88 candidates (-39.7%)
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 3 expressions with local error:

0.0b
(+ (* 4.0 (/ 1 y)) (/ x y))
0.0b
(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
3.1b
(* (/ x y) z)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity
10×times-frac add-log-exp
add-exp-log add-cbrt-cube
pow1 associate-*l/
frac-add frac-sub
associate-*r*
flip3-+ diff-log associate-*r/ prod-exp sum-log un-div-inv cbrt-unprod flip-+ div-inv unswap-sqr
cbrt-undiv +-commutative sub-neg distribute-rgt-out flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 64
Calls
3 calls:
7.0ms
(+ (* 4.0 (/ 1 y)) (/ x y))
11.0ms
(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
6.0ms
(* (/ x y) z)

series18.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (* 4.0 (/ 1 y)) (/ x y))
9.0ms
(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
5.0ms
(* (/ x y) z)

simplify42.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0341472
11450422
25001401

prune107.0ms

Filtered
53 candidates to 73 candidates (-37.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New72173
Fresh055
Picked011
Done000
Total72779

Merged error: 0.0b

Counts
79 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (/ x y) z)
10.4b
(cbrt (* (/ x y) z))
10.4b
(cbrt (* (/ x y) z))
10.4b
(cbrt (* (/ x y) z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
add-exp-log add-cbrt-cube
pow1
associate-*l/ add-log-exp
cbrt-prod cbrt-div pow1/3 associate-*r*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
6.0ms
(* (/ x y) z)
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))

series67.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (/ x y) z)
20.0ms
(cbrt (* (/ x y) z))
22.0ms
(cbrt (* (/ x y) z))
20.0ms
(cbrt (* (/ x y) z))

simplify59.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0232371
1788335
23209283
35001279

prune106.0ms

Filtered
55 candidates to 74 candidates (-34.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New73174
Fresh235
Picked011
Done011
Total75681

Merged error: 0.0b

Counts
81 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))
10.4b
(cbrt (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z)))
10.4b
(cbrt (* (/ x y) z))
10.4b
(cbrt (* (/ x y) z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
18×cbrt-unprod
17×div-exp
pow1 cbrt-undiv
associate-*l/
associate-*l*
add-sqr-sqrt add-cube-cbrt *-un-lft-identity 1-exp
cbrt-div
add-log-exp
cbrt-prod times-frac pow1/3 pow-prod-down
frac-times associate-*r/
associate-*r* *-commutative div-inv
Counts
4 → 77
Calls
4 calls:
12.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))
8.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z)))
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))

series69.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))
20.0ms
(cbrt (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z)))
19.0ms
(cbrt (* (/ x y) z))
21.0ms
(cbrt (* (/ x y) z))

simplify51.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0437790
12008626
25001442

prune97.0ms

Filtered
52 candidates to 89 candidates (-71.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh033
Picked011
Done022
Total89695

Merged error: 0.0b

Counts
95 → 6

regimes192.0ms

Accuracy

63.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.5b

bsearch49.0ms

Steps
ItersRangePoint
10
1.4554345364597376e-151
1.1087782859389557e-132
5.783315894968513e-137
9
-9.818818424665886e+89
-2.184286111231903e+81
-9.127681911193681e+81

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03414
13414

end0.0ms

sample753.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results
377.0ms10051×body80valid

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