Details

Time bar (total: 10.1s)

sample28.0ms

Algorithm
intervals
Results
10.0ms315×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5001
93121
81165
7859
6703
5332
4137
356
226
111
07

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (- 1.0 z))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×associate-*r*
4×frac-times associate-*l*
3×pow1 flip3-+ flip3-- add-cbrt-cube add-exp-log add-cube-cbrt flip-+ flip--
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 33
Calls
1 calls:
54.0ms
(* (+ x y) (- 1.0 z))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(* (+ x y) (- 1.0 z))

simplify580.0ms

Counts
36 → 36
Iterations
IterNodes
done5002
21125
1249
084

prune232.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 (+ x y)) (* (- (+ x y)) z))
0.0b
(* (- (+ x y)) z)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*l*
10×*-un-lft-identity
8×add-sqr-sqrt
6×flip3-+ associate-*l/ add-cube-cbrt flip-+ distribute-neg-frac
4×distribute-lft-neg-in pow1 distribute-rgt-neg-in add-cbrt-cube frac-add associate-*r/ add-exp-log add-log-exp
3×distribute-lft-neg-out associate-*r*
2×associate-+l+ distribute-lft-out
1×distribute-rgt-in +-commutative neg-mul-1 sum-log distribute-lft-in unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 49
Calls
2 calls:
21.0ms
(+ (* 1.0 (+ x y)) (* (- (+ x y)) z))
56.0ms
(* (- (+ x y)) z)

series108.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* 1.0 (+ x y)) (* (- (+ x y)) z))
42.0ms
(* (- (+ x y)) z)

simplify823.0ms

Counts
55 → 55
Iterations
IterNodes
done5001
21543
1330
0109

prune294.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (+ x y))) (cbrt (- (+ x y))))
0.5b
(cbrt (- (+ x y)))
0.5b
(cbrt (- (+ x y)))
0.5b
(cbrt (- (+ y x)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
104×cbrt-prod
79×*-un-lft-identity
37×add-sqr-sqrt
36×distribute-rgt-neg-in
32×distribute-lft-neg-in
29×add-cube-cbrt
23×swap-sqr
20×distribute-lft-out
18×cbrt-div distribute-neg-frac
15×associate-*r* associate-*l*
11×pow1
9×flip3-+ pow1/3 flip-+
7×neg-mul-1
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 149
Calls
4 calls:
67.0ms
(* (cbrt (- (+ x y))) (cbrt (- (+ x y))))
13.0ms
(cbrt (- (+ x y)))
13.0ms
(cbrt (- (+ x y)))
12.0ms
(cbrt (- (+ y x)))

series938.0ms

Counts
4 → 12
Calls
4 calls:
291.0ms
(* (cbrt (- (+ x y))) (cbrt (- (+ x y))))
213.0ms
(cbrt (- (+ x y)))
210.0ms
(cbrt (- (+ x y)))
224.0ms
(cbrt (- (+ y x)))

simplify951.0ms

Counts
161 → 161
Iterations
IterNodes
done5000
21950
1457
0209

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- 1.0 z) (+ 1.0 z))
0.7b
(* (* (- 1.0 z) (+ 1.0 z)) (+ x y))
7.5b
(/ (* (* (- 1.0 z) (+ 1.0 z)) (+ x y)) (+ 1.0 z))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times
40×flip3-+ flip-+
30×associate-*l/
26×associate-/l/
21×flip3-- flip--
19×add-cbrt-cube add-exp-log
18×*-un-lft-identity associate-*r/
12×add-sqr-sqrt
10×pow1
8×associate-*r* add-cube-cbrt
7×prod-exp cbrt-unprod
6×associate-*l*
4×associate-/r* times-frac pow-prod-down distribute-lft-out
3×cbrt-undiv div-exp add-log-exp
2×distribute-rgt-in distribute-lft-in associate-/r/ *-commutative
1×clear-num frac-2neg div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 131
Calls
3 calls:
53.0ms
(* (- 1.0 z) (+ 1.0 z))
62.0ms
(* (* (- 1.0 z) (+ 1.0 z)) (+ x y))
66.0ms
(/ (* (* (- 1.0 z) (+ 1.0 z)) (+ x y)) (+ 1.0 z))

series227.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(* (- 1.0 z) (+ 1.0 z))
76.0ms
(* (* (- 1.0 z) (+ 1.0 z)) (+ x y))
44.0ms
(/ (* (* (- 1.0 z) (+ 1.0 z)) (+ x y)) (+ 1.0 z))

simplify432.0ms

Counts
140 → 140
Iterations
IterNodes
done5001
1845
0212

prune847.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes251.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done24
324
223
118
09

end0.0ms

sample902.0ms

Algorithm
intervals
Results
384.0ms9966×body80valid
0.0ms3×body640valid
0.0ms1×body320valid
0.0ms1×body160valid