Details

Time bar (total: 6.6s)

sample20.0ms

Algorithm
intervals
Results
9.0ms330×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 7 (215.0ms)

IterNodesCost
01213
12213
24513
39813
419013
531713
648613
775011
8215611
done500011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)
0.0b
(/ (- z x) y)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
6×associate-+l+
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×distribute-rgt-in distribute-lft-in div-sub associate-/r*
2×pow1 sub-neg associate-/l/ associate--r-
1×cbrt-undiv +-commutative flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 55
Calls
2 calls:
15.0ms
(+ (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)
7.0ms
(/ (- z x) y)

series55.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)
28.0ms
(/ (- z x) y)

simplify859.0ms

Counts
61 → 61
Iterations

Useful iterations: done (857.0ms)

IterNodesCost
0113714
1271690
2717644
32329627
done5000623

prune124.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (* (- z x) 4.0) y)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp associate-*l/ associate-/l/
1×pow1 flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
6.0ms
(/ (* (- z x) 4.0) y)

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ (* (- z x) 4.0) y)

simplify1.0s

Counts
26 → 26
Iterations

Useful iterations: done (1.0s)

IterNodesCost
063274
1171259
2606217
32933211
done5000210

prune51.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 4.0 (- 0.25 (- (/ z y) (/ x y)))) 1.0)
0.0b
(- (/ z y) (/ x y))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×*-un-lft-identity
10×times-frac
6×associate-+l+ add-log-exp
4×add-cube-cbrt distribute-lft-out-- difference-of-squares
3×distribute-rgt-in sub-neg distribute-lft-in
2×pow1 add-exp-log add-cbrt-cube div-inv associate--r-
1×+-commutative flip3-- distribute-rgt-out-- flip3-+ diff-log sum-log frac-sub flip-- flip-+ sub-div
Counts
2 → 40
Calls
2 calls:
45.0ms
(+ (* 4.0 (- 0.25 (- (/ z y) (/ x y)))) 1.0)
17.0ms
(- (/ z y) (/ x y))

series46.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* 4.0 (- 0.25 (- (/ z y) (/ x y)))) 1.0)
20.0ms
(- (/ z y) (/ x y))

simplify574.0ms

Counts
46 → 46
Iterations

Useful iterations: 3 (163.0ms)

IterNodesCost
094656
1230648
2538602
31773586
done5001586

prune102.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ z y) (/ z y))
0.3b
(* (/ x y) (/ x y))
3.3b
(- (* (/ z y) (/ z y)) (* (/ x y) (/ x y)))
27.1b
(/ (- (* (/ z y) (/ z y)) (* (/ x y) (/ x y))) (+ (/ z y) (/ x y)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
142×times-frac
124×*-un-lft-identity
108×add-sqr-sqrt
84×add-cube-cbrt
30×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
22×associate-*r/ associate-*l/
20×distribute-lft-out
19×div-inv
18×pow1 frac-times frac-sub
16×associate-/l/
10×sub-div difference-of-squares
9×cbrt-undiv div-exp
8×prod-exp associate-/r* cbrt-unprod unswap-sqr
6×add-log-exp
5×distribute-rgt-out
4×associate-/l*
3×associate-/r/
2×pow2 flip3-- pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up flip--
1×sub-neg frac-2neg flip3-+ diff-log div-sub frac-add clear-num flip-+
Counts
4 → 237
Calls
4 calls:
13.0ms
(* (/ z y) (/ z y))
13.0ms
(* (/ x y) (/ x y))
9.0ms
(- (* (/ z y) (/ z y)) (* (/ x y) (/ x y)))
44.0ms
(/ (- (* (/ z y) (/ z y)) (* (/ x y) (/ x y))) (+ (/ z y) (/ x y)))

series168.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (/ z y) (/ z y))
27.0ms
(* (/ x y) (/ x y))
61.0ms
(- (* (/ z y) (/ z y)) (* (/ x y) (/ x y)))
55.0ms
(/ (- (* (/ z y) (/ z y)) (* (/ x y) (/ x y))) (+ (/ z y) (/ x y)))

simplify365.0ms

Counts
249 → 249
Iterations

Useful iterations: done (358.0ms)

IterNodesCost
03464667
110574227
done50004145

prune570.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1109
done109

end0.0ms

sample500.0ms

Algorithm
intervals
Results
297.0ms10096×body80valid