Details

Time bar (total: 10.2s)

sample28.0ms

Algorithm
intervals
Results
13.0ms309×body80valid

simplify1.2s

Counts
1 → 1
Iterations
IterNodes
done5000
101734
9377
8136
796
675
564
453
334
220
113
08

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative sum-log flip3-+ flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
18.0ms
(+ (* (- 1.0 x) z) (* x y))
24.0ms
(* (- 1.0 x) z)

series115.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (* (- 1.0 x) z) (* x y))
56.0ms
(* (- 1.0 x) z)

simplify536.0ms

Counts
39 → 39
Iterations
IterNodes
done5000
2767
1190
071

prune196.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* y x) (* z (- 1.0 x)))) (cbrt (+ (* y x) (* z (- 1.0 x)))))
0.6b
(cbrt (+ (* y x) (* z (- 1.0 x))))
0.6b
(cbrt (+ (* y x) (* z (- 1.0 x))))
0.6b
(cbrt (+ (* y x) (* z (- 1.0 x))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* 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 → 87
Calls
4 calls:
58.0ms
(* (cbrt (+ (* y x) (* z (- 1.0 x)))) (cbrt (+ (* y x) (* z (- 1.0 x)))))
4.0ms
(cbrt (+ (* y x) (* z (- 1.0 x))))
4.0ms
(cbrt (+ (* y x) (* z (- 1.0 x))))
4.0ms
(cbrt (+ (* y x) (* z (- 1.0 x))))

series868.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(* (cbrt (+ (* y x) (* z (- 1.0 x)))) (cbrt (+ (* y x) (* z (- 1.0 x)))))
210.0ms
(cbrt (+ (* y x) (* z (- 1.0 x))))
171.0ms
(cbrt (+ (* y x) (* z (- 1.0 x))))
233.0ms
(cbrt (+ (* y x) (* z (- 1.0 x))))

simplify705.0ms

Counts
99 → 99
Iterations
IterNodes
done5000
21202
1348
0134

prune521.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))
0.0b
(+ (/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x y))
2.6b
(* z (- (pow 1.0 3) (pow x 3)))
10.4b
(/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite315.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
25×associate-*r*
18×*-un-lft-identity
16×difference-of-squares
12×unpow-prod-down cube-prod
11×add-cbrt-cube add-exp-log add-log-exp
8×add-cube-cbrt sqr-pow
6×pow1
5×distribute-lft-out--
4×sum-log associate-*r/
3×associate-/r* flip3-+ times-frac associate-*l* flip-+
2×distribute-rgt-in cbrt-undiv +-commutative sub-neg distribute-lft-in flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-- associate-/l/
1×difference-cubes associate-+r+ clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 95
Calls
4 calls:
15.0ms
(+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))
147.0ms
(+ (/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x y))
96.0ms
(* z (- (pow 1.0 3) (pow x 3)))
54.0ms
(/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series579.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))
188.0ms
(+ (/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x y))
132.0ms
(* z (- (pow 1.0 3) (pow x 3)))
235.0ms
(/ (* z (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify1.2s

Counts
107 → 107
Iterations
IterNodes
done5000
22844
1588
0177

prune552.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (* y x) (* z (- 1.0 x))))
0.6b
(cbrt (+ (* y x) (* z (- 1.0 x))))
0.6b
(cbrt (- (* y x) (* z (- 1.0 x))))
27.6b
(cbrt (* (- (* y x) (* z (- 1.0 x))) (+ (* y x) (* z (- 1.0 x)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-div
10×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×flip3-+ flip-+
4×frac-times pow1 flip3-- add-cbrt-cube pow1/3 add-exp-log flip-- add-log-exp
2×associate-*l/ associate-*r/
Counts
4 → 56
Calls
4 calls:
4.0ms
(cbrt (+ (* y x) (* z (- 1.0 x))))
6.0ms
(cbrt (+ (* y x) (* z (- 1.0 x))))
12.0ms
(cbrt (- (* y x) (* z (- 1.0 x))))
24.0ms
(cbrt (* (- (* y x) (* z (- 1.0 x))) (+ (* y x) (* z (- 1.0 x)))))

series957.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt (+ (* y x) (* z (- 1.0 x))))
261.0ms
(cbrt (+ (* y x) (* z (- 1.0 x))))
248.0ms
(cbrt (- (* y x) (* z (- 1.0 x))))
281.0ms
(cbrt (* (- (* y x) (* z (- 1.0 x))) (+ (* y x) (* z (- 1.0 x)))))

simplify663.0ms

Counts
68 → 68
Iterations
IterNodes
done5002
21646
1396
0152

prune487.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample825.0ms

Algorithm
intervals
Results
487.0ms10127×body80valid