Details

Time bar (total: 15.0s)

sample67.0ms

Algorithm
intervals
Results
37.0ms400×body80valid

simplify2.0s

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:
13.0ms
(/ y (+ z x))
23.0ms
(/ (- z x) (/ y (+ z x)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ y (+ z x))
74.0ms
(/ (- z x) (/ y (+ z x)))

simplify2.2s

Counts
170 → 170
Iterations
IterNodes
done5002
24265
1724
0231

prune886.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*l*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1 associate-*r*
3×associate-/r*
2×frac-times cbrt-undiv flip3-+ div-exp prod-exp associate-*r/ cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in flip3-- div-sub pow-prod-down associate-*l/ *-commutative flip-- distribute-lft-out
Counts
2 → 83
Calls
2 calls:
16.0ms
(/ (- z x) y)
48.0ms
(* (/ (- z x) y) (+ z x))

series103.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- z x) y)
61.0ms
(* (/ (- z x) y) (+ z x))

simplify1.7s

Counts
89 → 89
Iterations
IterNodes
done5000
22533
1466
0134

prune444.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

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)))

rewrite137.0ms

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:
17.0ms
(/ 1 (+ z x))
24.0ms
(/ (- z x) y)
63.0ms
(/ (/ (- z x) y) (/ 1 (+ z x)))

series170.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ 1 (+ z x))
35.0ms
(/ (- z x) y)
82.0ms
(/ (/ (- z x) y) (/ 1 (+ z x)))

simplify1.5s

Counts
488 → 488
Iterations
IterNodes
done5001
12079
0594

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
20×add-sqr-sqrt frac-times
17×associate-*r*
16×*-un-lft-identity add-cbrt-cube
14×associate-*l/
13×prod-exp
11×times-frac add-cube-cbrt
9×pow1
8×flip3-- flip--
7×flip3-+ cbrt-unprod flip-+
6×associate-*l* associate-*r/
4×div-exp pow-prod-down un-div-inv
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp *-commutative add-log-exp
1×distribute-rgt-in distribute-lft-in div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
2 → 87
Calls
2 calls:
68.0ms
(* (* (- z x) (/ 1 y)) (+ z x))
24.0ms
(* (- z x) (/ 1 y))

series121.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (* (- z x) (/ 1 y)) (+ z x))
42.0ms
(* (- z x) (/ 1 y))

simplify683.0ms

Counts
93 → 93
Iterations
IterNodes
done5001
1585
0167

prune436.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes200.0ms

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