Details

Time bar (total: 3.3s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×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: 6.5b

localize6.0ms

Local error

Found 1 expressions with local error:

6.5b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite13.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0208432
1632414
21909414
35002414

prune123.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.5b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite43.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
14.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
14.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series167.0ms

Counts
2 → 6
Calls
2 calls:
124.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
42.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify72.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05972063
126631879
250011714

prune284.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (/ (- 1.0 (/ y z)) (+ x y))))
6.5b
(/ (- 1.0 (/ y z)) (+ x y))
6.5b
(/ (- 1.0 (/ y z)) (+ x y))
6.5b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
261×times-frac
239×add-sqr-sqrt
236×*-un-lft-identity
104×add-cube-cbrt
95×cbrt-prod
54×difference-of-squares
39×distribute-lft-out
27×distribute-lft-out--
18×associate-/l*
13×associate-/r/
12×associate-/r*
10×add-exp-log add-cbrt-cube
7×div-inv
6×flip3-+ flip-+ associate-/l/
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip--
1×cbrt-div pow1/3
Counts
4 → 265
Calls
4 calls:
19.0ms
(cbrt (/ 1 (/ (- 1.0 (/ y z)) (+ x y))))
14.0ms
(/ (- 1.0 (/ y z)) (+ x y))
13.0ms
(/ (- 1.0 (/ y z)) (+ x y))
14.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series391.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(cbrt (/ 1 (/ (- 1.0 (/ y z)) (+ x y))))
41.0ms
(/ (- 1.0 (/ y z)) (+ x y))
47.0ms
(/ (- 1.0 (/ y z)) (+ x y))
42.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify95.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
08093018
131632879
250012731

prune624.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 3.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ y z) (/ y z))
6.5b
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
12.0b
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
71×*-un-lft-identity
68×add-sqr-sqrt
51×add-cube-cbrt
35×associate-*l*
22×add-exp-log add-cbrt-cube
17×associate-*r*
13×swap-sqr
12×pow1
10×distribute-lft-out
9×difference-of-squares
6×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
4×associate-/r* associate-/r/ associate-/l*
3×expm1-log1p-u frac-times flip3-+ associate-*r/ flip-+ log1p-expm1-u add-log-exp
2×flip3-- pow-prod-down associate-*l/ *-commutative flip-- associate-/l/
1×pow2 distribute-rgt-in frac-2neg distribute-lft-in pow-plus clear-num pow-sqr pow-prod-up
Counts
3 → 161
Calls
3 calls:
10.0ms
(* (/ y z) (/ y z))
8.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
21.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series193.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (/ y z) (/ y z))
69.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
96.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify121.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08421519
146101374
250011374

prune383.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 3.8b

regimes137.0ms

Accuracy

61.2% (0.7b remaining)

Error of 6.4b against oracle of 5.7b and baseline of 7.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03029
13029

end0.0ms

sample359.0ms

Algorithm
intervals
Results
201.0ms8001×body80valid