Details

Time bar (total: 14.2s)

sample37.0ms

Algorithm
intervals
Results
18.0ms433×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

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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:
16.0ms
(/ y (+ z x))
24.0ms
(/ (- z x) (/ y (+ z x)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ y (+ z x))
68.0ms
(/ (- z x) (/ y (+ z x)))

simplify1.5s

Counts
170 → 170
Iterations
IterNodes
done5002
24265
1724
0231

prune833.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x z))
0.0b
(- (* (/ z y) (+ x z)) (/ x (/ y (+ x z))))
0.2b
(/ x (/ y (+ x z)))
2.7b
(* (/ z y) (+ x z))

rewrite135.0ms

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:
19.0ms
(/ y (+ x z))
54.0ms
(- (* (/ z y) (+ x z)) (/ x (/ y (+ x z))))
26.0ms
(/ x (/ y (+ x z)))
28.0ms
(* (/ z y) (+ x z))

series191.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ y (+ x z))
73.0ms
(- (* (/ z y) (+ x z)) (/ x (/ y (+ x z))))
39.0ms
(/ x (/ y (+ x z)))
49.0ms
(* (/ z y) (+ x z))

simplify539.0ms

Counts
194 → 194
Iterations
IterNodes
done5000
1877
0293

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* z z) y) (/ (* x x) y))
8.0b
(/ (* z z) y)
9.0b
(/ (* x x) y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cbrt-cube add-exp-log
10×times-frac
9×*-un-lft-identity
7×add-cube-cbrt
6×associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp div-inv difference-of-squares
3×pow1
2×clear-num frac-2neg prod-exp cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
3 → 62
Calls
3 calls:
15.0ms
(- (/ (* z z) y) (/ (* x x) y))
7.0ms
(/ (* z z) y)
11.0ms
(/ (* x x) y)

series94.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (/ (* z z) y) (/ (* x x) y))
24.0ms
(/ (* z z) y)
21.0ms
(/ (* x x) y)

simplify1.5s

Counts
71 → 71
Iterations
IterNodes
done5001
22656
1352
0111

prune444.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

12.7b
(* (/ 1 y) (* (+ z x) (- z x)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
16×frac-times
13×add-cbrt-cube associate-*l*
12×prod-exp associate-*r/
9×times-frac
8×distribute-rgt-in add-sqr-sqrt *-un-lft-identity distribute-lft-in add-cube-cbrt
6×pow1 flip3-+ flip3-- cbrt-unprod flip-+ flip--
5×associate-*l/
4×sub-neg div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×associate-*r* *-commutative div-inv add-log-exp
Counts
1 → 61
Calls
1 calls:
44.0ms
(* (/ 1 y) (* (+ z x) (- z x)))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(* (/ 1 y) (* (+ z x) (- z x)))

simplify2.8s

Counts
64 → 64
Iterations
IterNodes
done5001
24311
1502
0147

prune223.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes358.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
012

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.7s13741×body80valid