Details

Time bar (total: 11.6s)

sample31.0ms

Algorithm
intervals
Results
12.0ms275×body80valid

simplify164.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0911
12111
24010
36710
410210
513910
614410
done14410

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.3b

localize11.0ms

Local error

Found 2 expressions with local error:

3.3b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
4.1b
(* y (+ 1.0 (* z z)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 74
Calls
2 calls:
32.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
29.0ms
(* y (+ 1.0 (* z z)))

series178.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
101.0ms
(* y (+ 1.0 (* z z)))

simplify1.2s

Counts
80 → 80
Iterations

Useful iterations: 2 (366.0ms)

IterNodesCost
01601102
14461075
22244866
done5001866

prune402.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.2b

localize30.0ms

Local error

Found 2 expressions with local error:

2.9b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (fma z z 1.0)))
3.5b
(/ (/ (cbrt 1.0) x) (fma z z 1.0))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
275×times-frac
167×add-sqr-sqrt
141×add-cube-cbrt *-un-lft-identity
70×associate-*r*
65×cbrt-prod
43×add-exp-log
33×add-cbrt-cube
22×associate-/l*
18×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×div-inv
8×unswap-sqr
7×associate-*l*
4×pow1
3×associate-/r*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 225
Calls
2 calls:
87.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (fma z z 1.0)))
19.0ms
(/ (/ (cbrt 1.0) x) (fma z z 1.0))

series333.0ms

Counts
2 → 6
Calls
2 calls:
178.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (fma z z 1.0)))
155.0ms
(/ (/ (cbrt 1.0) x) (fma z z 1.0))

simplify710.0ms

Counts
231 → 231
Iterations

Useful iterations: done (696.0ms)

IterNodesCost
03694954
112394732
done50004416

prune1.6s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.2b

localize30.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ (/ (sqrt 1.0) 1) (* (/ (* (fma z z 1.0) y) (sqrt 1.0)) x))
3.1b
(* (/ (* (fma z z 1.0) y) (sqrt 1.0)) x)
4.1b
(* (fma z z 1.0) y)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
60×add-exp-log
46×add-cbrt-cube
39×add-sqr-sqrt
35×add-cube-cbrt *-un-lft-identity
28×div-exp
22×associate-/l*
21×sqrt-prod
18×cbrt-undiv
17×prod-exp
13×associate-*l* cbrt-unprod
7×pow1
6×associate-*r*
4×1-exp div-inv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ *-commutative unswap-sqr
1×frac-2neg clear-num associate-/r* associate-/r/ associate-/l/
Counts
3 → 131
Calls
3 calls:
45.0ms
(/ (/ (sqrt 1.0) 1) (* (/ (* (fma z z 1.0) y) (sqrt 1.0)) x))
34.0ms
(* (/ (* (fma z z 1.0) y) (sqrt 1.0)) x)
7.0ms
(* (fma z z 1.0) y)

series522.0ms

Counts
3 → 9
Calls
3 calls:
278.0ms
(/ (/ (sqrt 1.0) 1) (* (/ (* (fma z z 1.0) y) (sqrt 1.0)) x))
195.0ms
(* (/ (* (fma z z 1.0) y) (sqrt 1.0)) x)
49.0ms
(* (fma z z 1.0) y)

simplify504.0ms

Counts
140 → 140
Iterations

Useful iterations: done (500.0ms)

IterNodesCost
02472628
17252196
done50001927

prune605.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.2b

localize34.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (sqrt 1.0) (/ (* (fma z z 1.0) y) (sqrt 1.0)))
3.3b
(/ (/ (sqrt 1.0) (/ (* (fma z z 1.0) y) (sqrt 1.0))) x)
4.1b
(* (fma z z 1.0) y)

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
681×times-frac
272×add-sqr-sqrt
270×add-cube-cbrt *-un-lft-identity
246×sqrt-prod
71×associate-/l*
37×div-inv
28×add-exp-log add-cbrt-cube
14×cbrt-undiv div-exp
13×associate-/r*
5×pow1 associate-/r/
3×expm1-log1p-u associate-*r* associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 399
Calls
3 calls:
19.0ms
(/ (sqrt 1.0) (/ (* (fma z z 1.0) y) (sqrt 1.0)))
46.0ms
(/ (/ (sqrt 1.0) (/ (* (fma z z 1.0) y) (sqrt 1.0))) x)
8.0ms
(* (fma z z 1.0) y)

series633.0ms

Counts
3 → 9
Calls
3 calls:
226.0ms
(/ (sqrt 1.0) (/ (* (fma z z 1.0) y) (sqrt 1.0)))
332.0ms
(/ (/ (sqrt 1.0) (/ (* (fma z z 1.0) y) (sqrt 1.0))) x)
75.0ms
(* (fma z z 1.0) y)

simplify828.0ms

Counts
408 → 408
Iterations

Useful iterations: done (806.0ms)

IterNodesCost
05279370
114038700
done50018410

prune1.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.2b

regimes315.0ms

Accuracy

0% (1.3b remaining)

Error of 6.6b against oracle of 5.3b and baseline of 6.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01117
11217
done1217

end0.0ms

sample1.3s

Algorithm
intervals
Results
860.0ms8626×body80valid