Details

Time bar (total: 12.8s)

sample79.0ms

Algorithm
intervals
Results
36.0ms427×body80valid

simplify71.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01515
12615
24815
38115
410215
done10215

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b
(+ (* x y) (* z t))
0.0b
(+ (+ (* x y) (* z t)) (* a b))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
159.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
16.0ms
(+ (* x y) (* z t))
33.0ms
(+ (+ (* x y) (* z t)) (* a b))

series405.0ms

Counts
3 → 9
Calls
3 calls:
285.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
39.0ms
(+ (* x y) (* z t))
82.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify1.1s

Counts
47 → 47
Iterations

Useful iterations: 2 (479.0ms)

IterNodesCost
085777
1277719
21361689
done5000689

prune208.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.8b
(cbrt (+ (* x y) (* z t)))
1.8b
(cbrt (+ (* x y) (* z t)))
1.8b
(cbrt (+ (* x y) (* z t)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
65.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
6.0ms
(cbrt (+ (* x y) (* z t)))
6.0ms
(cbrt (+ (* x y) (* z t)))
9.0ms
(cbrt (+ (* x y) (* z t)))

series693.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
148.0ms
(cbrt (+ (* x y) (* z t)))
186.0ms
(cbrt (+ (* x y) (* z t)))
161.0ms
(cbrt (+ (* x y) (* z t)))

simplify1.2s

Counts
99 → 99
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01272030
13351881
211431751
done50001634

prune666.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

2.4b
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
13.7b
(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))))
27.4b
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
27.4b
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
15×flip3-- flip--
8×cbrt-prod frac-times associate-/r/ add-cbrt-cube associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod
3×difference-of-squares
2×pow1/3
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l*
Counts
4 → 78
Calls
4 calls:
43.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
161.0ms
(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))))
38.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
44.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series715.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
264.0ms
(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))))
162.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
144.0ms
(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify1.2s

Counts
90 → 90
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01613713
14643349
218722638
done50002452

prune583.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.3b
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.2b
(sqrt (+ (* x y) (* z t)))
1.2b
(sqrt (+ (* x y) (* z t)))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
14.0ms
(+ (* x y) (* z t))
79.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
24.0ms
(sqrt (+ (* x y) (* z t)))
15.0ms
(sqrt (+ (* x y) (* z t)))

series301.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ (* x y) (* z t))
53.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
98.0ms
(sqrt (+ (* x y) (* z t)))
101.0ms
(sqrt (+ (* x y) (* z t)))

simplify738.0ms

Counts
110 → 110
Iterations

Useful iterations: done (734.0ms)

IterNodesCost
01062066
12651485
211351367
done50001332

prune521.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes671.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01515
12215
done2215

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.0s13719×body80valid