Details

Time bar (total: 17.2s)

sample36.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
111
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize10.0ms

Local error

Found 1 expressions with local error:

7.8b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite43.0ms

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-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 52
Calls
1 calls:
39.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.2s

Counts
55 → 55
Iterations
IterNodes
done5002
33469
2712
1214
097

prune279.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.4b

localize19.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- 1.0 (/ y z)))
7.6b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×associate-*r* add-cube-cbrt
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×expm1-log1p-u frac-times cbrt-undiv rec-exp flip3-+ flip3-- 1-exp associate-*l/ cbrt-unprod flip-+ log1p-expm1-u div-inv flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip distribute-lft-out inv-pow
Counts
2 → 101
Calls
2 calls:
19.0ms
(/ 1 (- 1.0 (/ y z)))
86.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series188.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(/ 1 (- 1.0 (/ y z)))
100.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify5.3s

Counts
107 → 107
Iterations
IterNodes
done5000
23263
1377
0147

prune562.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.4b

localize23.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.9b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite131.0ms

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 clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
46.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
74.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series257.0ms

Counts
2 → 6
Calls
2 calls:
192.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
65.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.9s

Counts
205 → 205
Iterations
IterNodes
done5001
23046
1669
0249

prune877.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ y z) 1.0)
0.1b
(/ (/ (+ y x) (+ (/ y z) 1.0)) (- 1.0 (/ y z)))
7.8b
(/ (+ y x) (+ (/ y z) 1.0))
14.8b
(* (/ (/ (+ y x) (+ (/ y z) 1.0)) (- 1.0 (/ y z))) (+ 1.0 (/ y z)))

rewrite378.0ms

Algorithm
rewrite-expression-head
Rules
545×times-frac
507×*-un-lft-identity
419×add-sqr-sqrt
185×add-cube-cbrt
138×associate-*l*
116×distribute-lft-out
90×difference-of-squares
45×distribute-lft-out--
32×associate-/r/
26×associate-/l*
20×add-cbrt-cube add-exp-log
18×flip3-+ flip-+
17×div-inv
13×fma-def
10×associate-/r*
7×cbrt-undiv div-exp
6×pow1 add-log-exp
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×prod-exp cbrt-unprod unswap-sqr associate-/l/
2×frac-times clear-num frac-2neg flip3-- associate-*r/ flip--
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down associate-*l/ *-commutative
Counts
4 → 417
Calls
4 calls:
21.0ms
(+ (/ y z) 1.0)
95.0ms
(/ (/ (+ y x) (+ (/ y z) 1.0)) (- 1.0 (/ y z)))
35.0ms
(/ (+ y x) (+ (/ y z) 1.0))
195.0ms
(* (/ (/ (+ y x) (+ (/ y z) 1.0)) (- 1.0 (/ y z))) (+ 1.0 (/ y z)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ (/ y z) 1.0)
70.0ms
(/ (/ (+ y x) (+ (/ y z) 1.0)) (- 1.0 (/ y z)))
92.0ms
(/ (+ y x) (+ (/ y z) 1.0))
91.0ms
(* (/ (/ (+ y x) (+ (/ y z) 1.0)) (- 1.0 (/ y z))) (+ 1.0 (/ y z)))

simplify1.5s

Counts
429 → 429
Iterations
IterNodes
done5001
11603
0398

prune2.0s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 6.4b

regimes332.0ms

Accuracy

0% (1.9b remaining)

Error of 7.3b against oracle of 5.5b and baseline of 7.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample648.0ms

Algorithm
intervals
Results
431.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid