Details

Time bar (total: 3.3s)

sample24.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.1b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

8.1b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
14.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0203422
1616404
21800404
35002404

prune88.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New45853
Fresh000
Picked011
Done000
Total45954

Merged error: 5.4b

Counts
54 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.1b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
14.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series27.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify70.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05882041
126341860
250011696

prune150.0ms

Filtered
86 candidates to 201 candidates (-133.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1992201
Fresh167
Picked101
Done011
Total2019210

Merged error: 5.4b

Counts
210 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
0.0b
(/ 1.0 (+ x y))
0.2b
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
9.8b
(/ (/ y z) (+ x y))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
271×times-frac
252×*-un-lft-identity
201×add-sqr-sqrt
96×add-cube-cbrt
38×distribute-lft-out
35×distribute-lft-out--
30×difference-of-squares
28×associate-/r/
27×associate-/r*
19×associate-/l*
18×div-inv
15×add-exp-log distribute-rgt-out--
13×add-cbrt-cube
12×flip3-+ flip-+
6×div-exp add-log-exp
5×pow1 cbrt-undiv
3×frac-2neg clear-num
2×flip3-- frac-sub flip-- sub-div
1×sub-neg rec-exp pow-flip diff-log 1-exp associate-/l/ inv-pow
Counts
4 → 248
Calls
4 calls:
48.0ms
(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
7.0ms
(/ 1.0 (+ x y))
52.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
10.0ms
(/ (/ y z) (+ x y))

series64.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
5.0ms
(/ 1.0 (+ x y))
32.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
9.0ms
(/ (/ y z) (+ x y))

simplify78.0ms

Algorithm
egg-herbie
Counts
260 → 260
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07252351
129502242
250022162

prune233.0ms

Filtered
154 candidates to 260 candidates (-68.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2573260
Fresh347
Picked011
Done011
Total2609269

Merged error: 0.0b

Counts
269 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
1.9b
(/ (/ 1 (* (cbrt z) (cbrt z))) (/ (+ x y) (/ y (cbrt z))))
4.5b
(/ (+ x y) (/ y (cbrt z)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
2391×times-frac
1280×*-un-lft-identity
882×add-sqr-sqrt add-cube-cbrt
339×cbrt-prod
199×distribute-lft-out
141×div-inv
115×associate-/r*
87×add-exp-log
57×div-exp
35×add-cbrt-cube
27×cbrt-undiv
11×associate-/l*
10×associate-/r/
9×prod-exp
6×rec-exp 1-exp
4×pow1 add-log-exp
3×cbrt-unprod associate-/l/
2×frac-2neg pow1/3 clear-num
1×flip3-+ flip-+
Counts
4 → 946
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
37.0ms
(/ (/ 1 (* (cbrt z) (cbrt z))) (/ (+ x y) (/ y (cbrt z))))
10.0ms
(/ (+ x y) (/ y (cbrt z)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
22.0ms
(cbrt z)
11.0ms
(/ (/ 1 (* (cbrt z) (cbrt z))) (/ (+ x y) (/ y (cbrt z))))
32.0ms
(/ (+ x y) (/ y (cbrt z)))

simplify203.0ms

Algorithm
egg-herbie
Counts
958 → 958
Iterations

Useful iterations: 1 (59.0ms)

IterNodesCost
0317416695
1500216334

prune975.0ms

Filtered
546 candidates to 958 candidates (-75.5%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New9580958
Fresh066
Picked011
Done022
Total9589967

Merged error: 0.0b

Counts
967 → 9

regimes375.0ms

Accuracy

96.1% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02820
12820

end0.0ms

sample491.0ms

Algorithm
intervals
Results
249.0ms7999×body80valid
0.0ms1×body2560valid

Profiling

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