Details

Time bar (total: 16.6s)

sample31.0ms

Algorithm
intervals
Results
12.0ms285×body80valid

simplify241.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08164
117164
225164
349164
471164
5101164
6122164
7139164
8151164
9158164
10164164
11166164
done166164

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.8b
(* (/ (- x y) (- z y)) t)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*l/ *-commutative
Counts
2 → 102
Calls
2 calls:
25.0ms
(/ (- x y) (- z y))
73.0ms
(* (/ (- x y) (- z y)) t)

series228.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ (- x y) (- z y))
152.0ms
(* (/ (- x y) (- z y)) t)

simplify1.5s

Counts
108 → 108
Iterations

Useful iterations: done (1.5s)

IterNodesCost
014326984
137225794
2145625513
done500025433

prune528.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
1.8b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×associate-*r* add-cube-cbrt
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×clear-num frac-2neg pow-flip inv-pow
Counts
3 → 119
Calls
3 calls:
10.0ms
(/ 1 (- z y))
39.0ms
(* (- x y) (/ 1 (- z y)))
55.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series210.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ 1 (- z y))
57.0ms
(* (- x y) (/ 1 (- z y)))
112.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify6.1s

Counts
128 → 128
Iterations

Useful iterations: 2 (942.0ms)

IterNodesCost
016130866
141824081
2381821744
done500021744

prune653.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (/ (- x y) (- z y)) t)
5.1b
(cbrt (* (/ (- x y) (- z y)) t))
5.1b
(cbrt (* (/ (- x y) (- z y)) t))
5.1b
(cbrt (* (/ (- x y) (- z y)) t))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×associate-*l*
26×times-frac
16×add-cube-cbrt
10×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
6×pow1
4×associate-*l/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative div-inv flip--
Counts
4 → 80
Calls
4 calls:
37.0ms
(* (/ (- x y) (- z y)) t)
14.0ms
(cbrt (* (/ (- x y) (- z y)) t))
11.0ms
(cbrt (* (/ (- x y) (- z y)) t))
11.0ms
(cbrt (* (/ (- x y) (- z y)) t))

series1.3s

Counts
4 → 12
Calls
4 calls:
149.0ms
(* (/ (- x y) (- z y)) t)
409.0ms
(cbrt (* (/ (- x y) (- z y)) t))
392.0ms
(cbrt (* (/ (- x y) (- z y)) t))
355.0ms
(cbrt (* (/ (- x y) (- z y)) t))

simplify1.3s

Counts
92 → 92
Iterations

Useful iterations: done (1.3s)

IterNodesCost
015929045
137728241
2127827510
done500126790

prune675.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
8.7b
(* (- x y) (/ t (- z y)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-cbrt-cube add-exp-log
8×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-*l*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×frac-times cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
2 → 83
Calls
2 calls:
21.0ms
(/ t (- z y))
43.0ms
(* (- x y) (/ t (- z y)))

series146.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ t (- z y))
104.0ms
(* (- x y) (/ t (- z y)))

simplify1.5s

Counts
89 → 89
Iterations

Useful iterations: 2 (432.0ms)

IterNodesCost
013020913
131718776
2167418333
done500118333

prune380.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes541.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
19164
done9164

end0.0ms

sample751.0ms

Algorithm
intervals
Results
382.0ms8745×body80valid