Details

Time bar (total: 16.9s)

sample28.0ms

Algorithm
intervals
Results
12.0ms281×body80valid

simplify194.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4709
51009
61179
71329
81429
91479
done1479

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- x y) (- z y))
1.3b
(* (/ (- x y) (- z y)) t)

rewrite117.0ms

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-exp-log add-cbrt-cube
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 associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
33.0ms
(/ (- x y) (- z y))
79.0ms
(* (/ (- x y) (- z y)) t)

series203.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ (- x y) (- z y))
129.0ms
(* (/ (- x y) (- z y)) t)

simplify2.7s

Counts
108 → 108
Iterations

Useful iterations: 2 (206.0ms)

IterNodesCost
01431303
13601269
29631185
328881185
done50001185

prune322.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.1b
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×associate-*l*
26×times-frac
18×add-cube-cbrt
16×add-exp-log
12×add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
9×pow1 cbrt-prod
6×prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv div-exp associate-/r/ unswap-sqr
1×flip3-- associate-*r* associate-*l/ *-commutative flip-- div-inv
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
107.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

series1.3s

Counts
4 → 12
Calls
4 calls:
325.0ms
(cbrt t)
314.0ms
(cbrt t)
336.0ms
(cbrt t)
357.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

simplify3.6s

Counts
98 → 98
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01201072
13231050
2970828
34382819
done5001819

prune385.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
10.5b
(* (- x y) (/ t (- z y)))

rewrite132.0ms

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-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
23.0ms
(/ t (- z y))
102.0ms
(* (- x y) (/ t (- z y)))

series186.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ t (- z y))
129.0ms
(* (- x y) (/ t (- z y)))

simplify3.2s

Counts
89 → 89
Iterations

Useful iterations: 2 (206.0ms)

IterNodesCost
0130977
1290931
21085857
34338857
done5000857

prune237.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) t)
0.6b
(/ 1 (/ (- z y) t))
10.5b
(* (- x y) (/ 1 (/ (- z y) t)))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
240×times-frac
183×add-sqr-sqrt
171×*-un-lft-identity
117×add-cube-cbrt
62×associate-*r*
35×add-exp-log
26×distribute-lft-out-- difference-of-squares
22×associate-/r*
19×add-cbrt-cube
15×div-exp
10×div-inv
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×associate-*l* unswap-sqr
4×rec-exp 1-exp
3×flip3-- flip-- cbrt-unprod add-log-exp
2×frac-times frac-2neg associate-*l/ clear-num associate-/r/ associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 235
Calls
3 calls:
31.0ms
(/ (- z y) t)
22.0ms
(/ 1 (/ (- z y) t))
128.0ms
(* (- x y) (/ 1 (/ (- z y) t)))

series303.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- z y) t)
103.0ms
(/ 1 (/ (- z y) t))
152.0ms
(* (- x y) (/ 1 (/ (- z y) t)))

simplify1.5s

Counts
244 → 244
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02903450
16972765
218012456
done50002426

prune546.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes242.0ms

Accuracy

0% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample1.2s

Algorithm
intervals
Results
432.0ms8722×body80valid