Details

Time bar (total: 11.9s)

sample59.0ms

Algorithm
intervals
Results
31.0ms400×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
73958
6896
5343
4181
3100
255
122
011

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (+ z x))
0.2b
(/ (- z x) (/ y (+ z x)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
160×*-un-lft-identity
116×add-sqr-sqrt
78×add-cube-cbrt
22×associate-/r* distribute-lft-out
19×distribute-lft-out-- difference-of-squares
15×associate-/r/
9×add-cbrt-cube add-exp-log
8×div-inv associate-/l*
7×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
1×flip3-- div-sub flip--
Counts
2 → 164
Calls
2 calls:
9.0ms
(/ y (+ z x))
30.0ms
(/ (- z x) (/ y (+ z x)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ y (+ z x))
60.0ms
(/ (- z x) (/ y (+ z x)))

simplify1.6s

Counts
170 → 170
Iterations
IterNodes
done5002
24265
1724
0231

prune875.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ z y) (+ x z)) (/ x (/ y (+ x z))))
0.0b
(/ y (+ x z))
0.2b
(/ x (/ y (+ x z)))
2.9b
(* (/ z y) (+ x z))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
124×times-frac
106×*-un-lft-identity
77×add-sqr-sqrt
72×add-cube-cbrt
22×associate-/r*
17×distribute-lft-out
16×add-cbrt-cube add-exp-log
13×associate-*l*
12×associate-/r/
9×flip3-+ flip-+
7×div-inv
6×pow1 associate-/l* add-log-exp
5×cbrt-undiv div-exp frac-sub
4×frac-times associate-*r* associate-*r/
2×distribute-rgt-in clear-num frac-2neg distribute-lft-in associate-*l/ prod-exp associate--l+ cbrt-unprod unswap-sqr
1×sub-neg flip3-- distribute-rgt-out-- diff-log pow-prod-down *-commutative flip--
Counts
4 → 182
Calls
4 calls:
33.0ms
(- (* (/ z y) (+ x z)) (/ x (/ y (+ x z))))
18.0ms
(/ y (+ x z))
26.0ms
(/ x (/ y (+ x z)))
27.0ms
(* (/ z y) (+ x z))

series244.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- (* (/ z y) (+ x z)) (/ x (/ y (+ x z))))
45.0ms
(/ y (+ x z))
45.0ms
(/ x (/ y (+ x z)))
66.0ms
(* (/ z y) (+ x z))

simplify473.0ms

Counts
194 → 194
Iterations
IterNodes
done5000
1877
0293

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ z x))
0.0b
(/ (- z x) y)
0.3b
(/ (/ (- z x) y) (/ 1 (+ z x)))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
894×times-frac
603×*-un-lft-identity
475×add-sqr-sqrt
353×add-cube-cbrt
64×distribute-lft-out
61×distribute-lft-out-- difference-of-squares
43×associate-/r/
42×div-inv
31×add-exp-log
27×associate-/l*
25×associate-/r*
21×flip3-+ flip-+
19×add-cbrt-cube div-exp
10×cbrt-undiv
4×pow1
3×rec-exp clear-num frac-2neg 1-exp div-sub add-log-exp associate-/l/
1×flip3-- pow-flip flip-- inv-pow
Counts
3 → 479
Calls
3 calls:
18.0ms
(/ 1 (+ z x))
18.0ms
(/ (- z x) y)
31.0ms
(/ (/ (- z x) y) (/ 1 (+ z x)))

series199.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/ 1 (+ z x))
51.0ms
(/ (- z x) y)
88.0ms
(/ (/ (- z x) y) (/ 1 (+ z x)))

simplify1.1s

Counts
488 → 488
Iterations
IterNodes
done5001
12079
0594

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- z x) (* (/ 1 y) (+ x z)))
0.3b
(* (/ 1 y) (+ x z))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
20×add-sqr-sqrt
18×frac-times associate-*l*
16×*-un-lft-identity add-cbrt-cube
13×prod-exp associate-*r/
11×times-frac add-cube-cbrt
9×pow1
8×flip3-+ flip-+
7×cbrt-unprod
6×flip3-- associate-*l/ flip--
5×distribute-rgt-in distribute-lft-in associate-*r*
4×div-exp pow-prod-down
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp *-commutative add-log-exp
1×div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
2 → 87
Calls
2 calls:
58.0ms
(* (- z x) (* (/ 1 y) (+ x z)))
24.0ms
(* (/ 1 y) (+ x z))

series104.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(* (- z x) (* (/ 1 y) (+ x z)))
36.0ms
(* (/ 1 y) (+ x z))

simplify262.0ms

Counts
93 → 93
Iterations
IterNodes
done5000
1567
0171

prune370.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
010

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.3s13547×body80valid