Details

Time bar (total: 2.1s)

sample31.0ms

Algorithm
intervals
Results
12.0ms329×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.4b

Counts
2 → 1

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)

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)
8.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

series20.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (+ x 4.0) y)
10.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

simplify116.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0341425
11212395
24964394
35001394

prune125.0ms

Filtered
63 candidates to 88 candidates (-39.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New83588
Fresh000
Picked011
Done000
Total83689

Merged error: 0.0b

Counts
89 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
9.8b
(cbrt (/ x y))
9.8b
(cbrt (/ x y))
9.8b
(cbrt (/ x y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
9×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 95
Calls
4 calls:
14.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series48.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
15.0ms
(cbrt (/ x y))
13.0ms
(cbrt (/ x y))
13.0ms
(cbrt (/ x y))

simplify72.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
0278774
1864652
23262601
35001545

prune118.0ms

Filtered
73 candidates to 107 candidates (-46.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh044
Picked011
Done011
Total1076113

Merged error: 0.0b

Counts
113 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x 4.0) (* x z))
2.9b
(/ (- (+ x 4.0) (* x z)) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 flip3-- diff-log flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg div-sub div-exp associate--l+ clear-num sum-log div-inv
Counts
2 → 44
Calls
2 calls:
5.0ms
(- (+ x 4.0) (* x z))
7.0ms
(/ (- (+ x 4.0) (* x z)) y)

series13.0ms

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

simplify81.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0206339
1735314
23228314
35001314

prune73.0ms

Filtered
37 candidates to 50 candidates (-35.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New49150
Fresh123
Picked011
Done022
Total50656

Merged error: 0b

Counts
56 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ x 4.0) (* x z))
0.2b
(/ 1 (/ y (- (+ x 4.0) (* x z))))
2.9b
(/ y (- (+ x 4.0) (* x z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp add-log-exp
6×flip3-- flip-- div-inv associate-/l*
4×pow1 cbrt-undiv
2×rec-exp frac-2neg diff-log 1-exp clear-num
1×sub-neg pow-flip associate--l+ sum-log inv-pow
Counts
3 → 127
Calls
3 calls:
6.0ms
(- (+ x 4.0) (* x z))
9.0ms
(/ 1 (/ y (- (+ x 4.0) (* x z))))
6.0ms
(/ y (- (+ x 4.0) (* x z)))

series29.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (+ x 4.0) (* x z))
10.0ms
(/ 1 (/ y (- (+ x 4.0) (* x z))))
16.0ms
(/ y (- (+ x 4.0) (* x z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04881289
123791166
250011080

prune123.0ms

Filtered
76 candidates to 136 candidates (-78.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1360136
Fresh022
Picked011
Done033
Total1366142

Merged error: 0b

Counts
142 → 6

regimes323.0ms

Accuracy

89.9% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch33.0ms

Steps
ItersRangePoint
8
1.493931642950924e+26
2.4226674565005327e+29
6.192617194918408e+27
6
-1.9391628440579475e-38
-1.4285313500229452e-39
-1.9051355777508353e-38

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611
12611

end0.0ms

sample710.0ms

Algorithm
intervals
Results
355.0ms10044×body80valid

Profiling

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