Details

Time bar (total: 3.2s)

sample40.0ms

Algorithm
intervals
Results
23.0ms335×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.4b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
4.7b
(* (/ x y) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*r* associate-*l/
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down *-commutative frac-sub flip-- div-inv sub-div
Counts
2 → 46
Calls
2 calls:
8.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

series68.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
21.0ms
(* (/ x y) z)

simplify83.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0243262
1882237
23831236
35003236

prune131.0ms

Filtered
52 candidates to 38 candidates (73.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New46652
Fresh000
Picked011
Done000
Total46753

Merged error: 0.0b

Counts
53 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
11.2b
(cbrt (/ x y))
11.2b
(cbrt (/ x y))
11.2b
(cbrt (/ x y))

rewrite28.0ms

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:
18.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
2.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series223.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
66.0ms
(cbrt (/ x y))
70.0ms
(cbrt (/ x y))
65.0ms
(cbrt (/ x y))

simplify68.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0266756
1813634
23023589
35001545

prune266.0ms

Filtered
107 candidates to 73 candidates (68.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh055
Picked011
Done011
Total1077114

Merged error: 0.0b

Counts
114 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(* (/ (cbrt x) y) z)
4.5b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×1-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 → 109
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(* (/ (cbrt x) y) z)
12.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series518.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
181.0ms
(cbrt x)
113.0ms
(* (/ (cbrt x) y) z)
48.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify62.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0473757
12313591
25002518

prune303.0ms

Filtered
121 candidates to 78 candidates (64.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh044
Picked011
Done022
Total1217128

Merged error: 0.0b

Counts
128 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x 4.0) (* x z))
3.4b
(/ (- (+ x 4.0) (* x z)) y)

rewrite14.0ms

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)

series92.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- (+ x 4.0) (* x z))
65.0ms
(/ (- (+ x 4.0) (* x z)) y)

simplify83.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0206339
1735314
23228314
35001314

prune100.0ms

Filtered
50 candidates to 37 candidates (74.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New47350
Fresh123
Picked101
Done033
Total49857

Merged error: 0b

Counts
57 → 8

regimes218.0ms

Accuracy

88.8% (0.2b remaining)

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

bsearch75.0ms

Steps
ItersRangePoint
10
5.919603945279118e-92
5.277260612561491e-79
2.5989146979654925e-79
5
-2.3708786258287403e-06
-7.229928480977052e-07
-1.2385186491081033e-06

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03112
13112

end0.0ms

sample771.0ms

Algorithm
intervals
Results
560.0ms10097×body80valid

Profiling

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