Details

Time bar (total: 10.2s)

sample19.0ms

Algorithm
intervals
Results
9.0ms279×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1179
2249
3489
4719
5969
61139
71299
81409
91479
101529
111729
122399
132639
142899
153609
163929
174689
185669
195859
205899
done5899

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.3b
(* (/ (- x y) (- z y)) t)

rewrite41.0ms

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
add-exp-log add-cbrt-cube
associate-/r* associate-/l*
pow1 associate-/r/
flip3-- associate-*r* flip--
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
12.0ms
(/ (- x y) (- z y))
24.0ms
(* (/ (- x y) (- z y)) t)

series141.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- x y) (- z y))
94.0ms
(* (/ (- x y) (- z y)) t)

simplify1.8s

Counts
108 → 108
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01431303
13641269
210991185
341631185
done50011183

prune211.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
add-cube-cbrt cbrt-div
pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))

series584.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- x y))
143.0ms
(cbrt (- z y))
147.0ms
(cbrt (- z y))
147.0ms
(cbrt (- z y))

simplify1.9s

Counts
72 → 72
Iterations

Useful iterations: 4 (586.0ms)

IterNodesCost
0114744
1230728
2486696
31218648
44015596
done5000596

prune256.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- z y) (- x y)))
1.3b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
367×times-frac
298×add-sqr-sqrt
286×*-un-lft-identity
144×add-cube-cbrt
98×associate-*l*
70×distribute-lft-out-- difference-of-squares
32×add-exp-log
31×associate-/r*
16×associate-/r/ add-cbrt-cube
14×div-exp
div-inv
flip3-- prod-exp flip--
cbrt-undiv
pow1 unswap-sqr
rec-exp 1-exp
associate-*r* cbrt-unprod associate-/l*
add-log-exp
pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 274
Calls
2 calls:
17.0ms
(/ 1 (/ (- z y) (- x y)))
49.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series285.0ms

Counts
2 → 6
Calls
2 calls:
129.0ms
(/ 1 (/ (- z y) (- x y)))
155.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify1.6s

Counts
280 → 280
Iterations

Useful iterations: 2 (302.0ms)

IterNodesCost
03314594
18304005
227323434
done50003434

prune437.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

1.4b
(/ t (/ (- z y) (- x y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
193×times-frac
157×add-sqr-sqrt *-un-lft-identity
77×add-cube-cbrt
40×distribute-lft-out-- difference-of-squares
31×associate-/r*
associate-/r/
add-exp-log add-cbrt-cube
div-inv
flip3-- flip--
cbrt-undiv div-exp associate-/l*
pow1 frac-2neg clear-num add-log-exp
Counts
1 → 142
Calls
1 calls:
14.0ms
(/ t (/ (- z y) (- x y)))

series146.0ms

Counts
1 → 3
Calls
1 calls:
146.0ms
(/ t (/ (- z y) (- x y)))

simplify772.0ms

Counts
145 → 145
Iterations

Useful iterations: 2 (191.0ms)

IterNodesCost
02502780
15782587
225552513
done50002513

prune294.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01431
done1431

end0.0ms

sample421.0ms

Algorithm
intervals
Results
213.0ms8699×body80valid