Details

Time bar (total: 4.6s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1144
2144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
6.7b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
75×*-un-lft-identity
57×times-frac
49×add-cube-cbrt
39×prod-diff
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube div-inv associate-/l* add-log-exp
3×fma-neg
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+
Counts
2 → 111
Calls
2 calls:
8.0ms
(- 1.0 (/ y z))
20.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series68.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(- 1.0 (/ y z))
52.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
05041403
116141048
25001967

prune183.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.7b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
259×times-frac
235×add-sqr-sqrt
231×*-un-lft-identity
125×add-cube-cbrt
44×difference-of-squares
39×prod-diff
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×div-inv associate-/l*
8×div-exp
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-neg log1p-expm1-u
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 258
Calls
3 calls:
9.0ms
(- 1.0 (/ y z))
25.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
28.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series175.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- 1.0 (/ y z))
121.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
39.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify90.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
08983034
137342513
250012273

prune322.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.7b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.0b
(/ 1 (+ x y))
0.4b
(/ 1 (- 1.0 (/ y z)))
6.4b
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
1193×times-frac
759×add-sqr-sqrt
731×*-un-lft-identity
449×add-cube-cbrt
124×difference-of-squares
93×associate-/r/
79×distribute-lft-out
62×distribute-lft-out--
52×add-exp-log
50×div-inv
39×prod-diff
36×div-exp
30×associate-/l*
28×associate-/r*
26×flip3-+ flip-+
21×flip3-- flip--
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×frac-2neg fma-neg clear-num
2×pow-flip inv-pow
1×sub-neg diff-log associate-/l/
Counts
4 → 653
Calls
4 calls:
8.0ms
(- 1.0 (/ y z))
6.0ms
(/ 1 (+ x y))
16.0ms
(/ 1 (- 1.0 (/ y z)))
40.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- 1.0 (/ y z))
32.0ms
(/ 1 (+ x y))
48.0ms
(/ 1 (- 1.0 (/ y z)))
122.0ms
(/ (/ 1 (- 1.0 (/ y z))) (/ 1 (+ x y)))

simplify130.0ms

Algorithm
egg-herbie
Counts
665 → 665
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
024269379
150028310

prune861.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 5.7b

localize10.0ms

Local error

Found 4 expressions with local error:

3.0b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
6.9b
(cbrt (- 1.0 (/ y z)))
6.9b
(cbrt (- 1.0 (/ y z)))
6.9b
(cbrt (- 1.0 (/ y z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod cbrt-div
9×add-exp-log add-cube-cbrt flip3-- flip--
8×associate-/r/
7×times-frac add-cbrt-cube
6×difference-of-squares
4×pow1 expm1-log1p-u frac-times log1p-expm1-u associate-/l* add-log-exp
3×pow1/3 distribute-lft-out--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 89
Calls
4 calls:
23.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
6.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))
9.0ms
(cbrt (- 1.0 (/ y z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
209.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
317.0ms
(cbrt (- 1.0 (/ y z)))
487.0ms
(cbrt (- 1.0 (/ y z)))
291.0ms
(cbrt (- 1.0 (/ y z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0348860
1878798
22742779
35001755

prune282.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 5.7b

regimes118.0ms

Accuracy

0% (2.1b remaining)

Error of 7.4b against oracle of 5.3b and baseline of 7.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample372.0ms

Algorithm
intervals
Results
210.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid