Details

Time bar (total: 13.2s)

sample50.0ms

Algorithm
intervals
Results
24.0ms443×body80valid

simplify1.9s

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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))
31.0ms
(/ (- z x) (/ y (+ z x)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ y (+ z x))
56.0ms
(/ (- z x) (/ y (+ z x)))

simplify1.7s

Counts
170 → 170
Iterations
IterNodes
done5002
24265
1724
0231

prune737.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

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:
13.0ms
(/ (- z x) y)
57.0ms
(* (/ (- z x) y) (+ x z))

series145.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- z x) y)
95.0ms
(* (/ (- z x) y) (+ x z))

simplify1.3s

Counts
89 → 89
Iterations
IterNodes
done5000
22525
1466
0137

prune457.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

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)))
3.6b
(* (/ z y) (+ x z))

rewrite163.0ms

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:
55.0ms
(- (* (/ z y) (+ x z)) (/ x (/ y (+ x z))))
18.0ms
(/ y (+ x z))
32.0ms
(/ x (/ y (+ x z)))
44.0ms
(* (/ z y) (+ x z))

series181.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(- (* (/ z y) (+ x z)) (/ x (/ y (+ x z))))
29.0ms
(/ y (+ x z))
39.0ms
(/ x (/ y (+ x z)))
46.0ms
(* (/ z y) (+ x z))

simplify538.0ms

Counts
194 → 194
Iterations
IterNodes
done5000
1877
0293

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- z x)) (cbrt (- z x)))
0.5b
(cbrt (- z x))
0.5b
(cbrt (- z x))
0.5b
(cbrt (- z x))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
38.0ms
(* (cbrt (- z x)) (cbrt (- z x)))
10.0ms
(cbrt (- z x))
6.0ms
(cbrt (- z x))
6.0ms
(cbrt (- z x))

series791.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(* (cbrt (- z x)) (cbrt (- z x)))
202.0ms
(cbrt (- z x))
200.0ms
(cbrt (- z x))
205.0ms
(cbrt (- z x))

simplify881.0ms

Counts
113 → 113
Iterations
IterNodes
done5000
2996
1286
0131

prune625.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes220.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done18
218
117
012

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.5s13743×body80valid