Details

Time bar (total: 1.8s)

sample26.0ms

Algorithm
intervals
Results
12.0ms329×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05112
15112

prune10.0ms

Filtered
1 candidates to 1 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 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.9b
(* (/ x y) z)

rewrite26.0ms

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:
9.0ms
(/ (+ 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))
5.0ms
(* (/ x y) z)

simplify30.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
04994783
14994783

prune136.0ms

Filtered
62 candidates to 88 candidates (-41.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New81788
Fresh011
Picked101
Done000
Total82890

Merged error: 0b

Counts
90 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
3.8b
(* (/ x y) (- 1 z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
6×associate-*r*
5×frac-add
4×pow1 distribute-rgt-in frac-times sub-neg associate-+r+ flip3-- distribute-lft-in associate-*r/ flip-- add-log-exp
2×associate-*l/ 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 → 63
Calls
2 calls:
11.0ms
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
9.0ms
(* (/ x y) (- 1 z))

series24.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
15.0ms
(* (/ x y) (- 1 z))

simplify56.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04957754
14957754

prune107.0ms

Filtered
52 candidates to 69 candidates (-32.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New69069
Fresh077
Picked011
Done000
Total69877

Merged error: 0b

Counts
77 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.5b
(* z (/ x (cbrt y)))
2.8b
(* (/ 1 (* (cbrt y) (cbrt y))) (* z (/ x (cbrt y))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
23×times-frac associate-*r*
22×add-cube-cbrt *-un-lft-identity
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv associate-*l*
6×rec-exp 1-exp
4×associate-*r/ pow-prod-down add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*l/
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
8.0ms
(* z (/ x (cbrt y)))
14.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* z (/ x (cbrt y))))

series69.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
18.0ms
(* z (/ x (cbrt y)))
10.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* z (/ x (cbrt y))))

simplify61.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05001801

prune130.0ms

Filtered
72 candidates to 127 candidates (-76.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh066
Picked011
Done011
Total1278135

Merged error: 0b

Counts
135 → 8

localize7.0ms

Local error

Found 1 expressions with local error:

3.2b
(/ (+ x (- 4.0 (* x z))) y)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×distribute-lft-out associate-/l*
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv associate-+r- frac-2neg flip3-+ div-sub div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
6.0ms
(/ (+ x (- 4.0 (* x z))) y)

series9.0ms

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

simplify33.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05303503

prune44.0ms

Filtered
26 candidates to 37 candidates (-42.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New36137
Fresh235
Picked011
Done022
Total38745

Merged error: 0b

Counts
45 → 7

regimes193.0ms

Accuracy

73.5% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.6b

bsearch26.0ms

Steps
ItersRangePoint
5
3.6476347041017933e-131
8.210113584485447e-131
5.413809849158584e-131
6
-1.640489798597369e+60
-1.7890497299802916e+59
-3.2470651805444677e+59

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03031
13031

end0.0ms

sample706.0ms

Algorithm
intervals
Results
364.0ms10148×body80valid

Profiling

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