Details

Time bar (total: 6.8s)

sample22.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1144
2144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
5.7b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite37.0ms

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:
9.0ms
(- 1.0 (/ y z))
19.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(- 1.0 (/ y z))
55.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05041403
116141048
25001967

prune215.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
5.7b
(/ (+ x y) (* 1 (- 1.0 (/ y z))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
44×add-sqr-sqrt
39×add-cube-cbrt prod-diff
32×times-frac
9×add-exp-log
7×add-cbrt-cube
4×div-inv associate-/l* add-log-exp
3×fma-neg div-exp
2×pow1 cbrt-undiv expm1-log1p-u flip3-- associate-*r/ prod-exp associate-/r/ flip-- log1p-expm1-u associate-/l/ distribute-lft-out difference-of-squares
1×sub-neg frac-2neg flip3-+ diff-log 1-exp clear-num associate-/r* cbrt-unprod flip-+ distribute-lft-out--
Counts
2 → 89
Calls
2 calls:
9.0ms
(- 1.0 (/ y z))
15.0ms
(/ (+ x y) (* 1 (- 1.0 (/ y z))))

series72.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(- 1.0 (/ y z))
55.0ms
(/ (+ x y) (* 1 (- 1.0 (/ y z))))

simplify57.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05181172
11784802
25001721

prune166.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
5.8b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite79.0ms

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))
23.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
32.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series209.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- 1.0 (/ y z))
135.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
51.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify104.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08983034
137342513
250012273

prune370.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ x y))
0.1b
(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
0.2b
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
7.4b
(/ (/ y z) (+ x y))

rewrite658.0ms

Algorithm
rewrite-expression-head
Rules
2563×times-frac
2302×*-un-lft-identity
1429×add-sqr-sqrt
1324×add-cube-cbrt
1044×prod-diff
449×distribute-lft-out
182×associate-/r/
167×div-inv
89×flip3-+ flip-+
35×distribute-lft-out--
30×difference-of-squares
27×associate-/r*
19×associate-/l*
18×fma-neg
15×add-exp-log distribute-rgt-out--
13×add-cbrt-cube
6×div-exp add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u
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 → 1318
Calls
4 calls:
5.0ms
(/ 1.0 (+ x y))
122.0ms
(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
141.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
10.0ms
(/ (/ y z) (+ x y))

series371.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ 1.0 (+ x y))
135.0ms
(- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y)))
136.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y z) (+ x y))))
56.0ms
(/ (/ y z) (+ x y))

simplify380.0ms

Algorithm
egg-herbie
Counts
1330 → 1330
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
0270446468
1500138077

prune3.0s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes164.0ms

Accuracy

62.4% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 7.4b

bsearch98.0ms

Steps
ItersRangePoint
9
1.808853977166641e-79
1.55034008765017e-72
4.069990541399454e-76
9
-2.95700484489095e-96
-3.744556309116812e-103
-2.580065985259568e-96

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02912
13112
23112

end0.0ms

sample556.0ms

Algorithm
intervals
Results
384.0ms7999×body80valid
0.0ms1×body2560valid