Details

Time bar (total: 10.2s)

sample45.0ms

Algorithm
intervals
Results
21.0ms326×body80valid

simplify976.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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:
17.0ms
(* (- 1.0 x) z)
22.0ms
(+ (* (- 1.0 x) z) (* x y))

series102.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* (- 1.0 x) z)
64.0ms
(+ (* (- 1.0 x) z) (* x y))

simplify526.0ms

Counts
39 → 39
Iterations
IterNodes
done5000
2760
1190
071

prune169.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
35.0ms
(* (cbrt (* z (- 1.0 x))) (cbrt (* z (- 1.0 x))))
6.0ms
(cbrt (* z (- 1.0 x)))
5.0ms
(cbrt (* z (- 1.0 x)))
6.0ms
(cbrt (* z (- 1.0 x)))

series766.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (cbrt (* z (- 1.0 x))) (cbrt (* z (- 1.0 x))))
179.0ms
(cbrt (* z (- 1.0 x)))
179.0ms
(cbrt (* z (- 1.0 x)))
195.0ms
(cbrt (* z (- 1.0 x)))

simplify716.0ms

Counts
84 → 84
Iterations
IterNodes
done5001
21554
1423
0163

prune520.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x y))
1.0b
(* (- (pow 1.0 3) (pow x 3)) z)
11.4b
(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite422.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×associate-*l*
17×*-un-lft-identity
16×difference-of-squares
12×unpow-prod-down cube-prod
10×add-cbrt-cube add-exp-log
8×sqr-pow
7×add-cube-cbrt
5×pow1 distribute-lft-out-- add-log-exp
4×associate-*l/
3×associate-/r* times-frac associate-*r*
2×cbrt-undiv flip3-+ flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-+ flip-- associate-/l/
1×difference-cubes +-commutative clear-num sum-log frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 78
Calls
3 calls:
196.0ms
(+ (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x y))
104.0ms
(* (- (pow 1.0 3) (pow x 3)) z)
118.0ms
(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series353.0ms

Counts
3 → 9
Calls
3 calls:
146.0ms
(+ (/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x y))
77.0ms
(* (- (pow 1.0 3) (pow x 3)) z)
130.0ms
(/ (* (- (pow 1.0 3) (pow x 3)) z) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify1.1s

Counts
87 → 87
Iterations
IterNodes
done5000
22484
1455
0155

prune403.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y x) (* z (- 1.0 x)))
0.0b
(sqrt (+ (* y x) (* z (- 1.0 x))))
0.0b
(sqrt (+ (* y x) (* z (- 1.0 x))))
0.2b
(* (sqrt (+ (* y x) (* z (- 1.0 x)))) (sqrt (+ (* y x) (* z (- 1.0 x)))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log add-log-exp
5×pow-prod-up
4×frac-times associate-+r+ unswap-sqr
3×pow-prod-down pow-sqr
2×distribute-rgt-in rem-sqrt-square sub-neg distribute-lft-in associate-*l/ associate-*r/
1×pow2 +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
14.0ms
(+ (* y x) (* z (- 1.0 x)))
11.0ms
(sqrt (+ (* y x) (* z (- 1.0 x))))
11.0ms
(sqrt (+ (* y x) (* z (- 1.0 x))))
72.0ms
(* (sqrt (+ (* y x) (* z (- 1.0 x)))) (sqrt (+ (* y x) (* z (- 1.0 x)))))

series440.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (* y x) (* z (- 1.0 x)))
187.0ms
(sqrt (+ (* y x) (* z (- 1.0 x))))
156.0ms
(sqrt (+ (* y x) (* z (- 1.0 x))))
59.0ms
(* (sqrt (+ (* y x) (* z (- 1.0 x)))) (sqrt (+ (* y x) (* z (- 1.0 x)))))

simplify1.2s

Counts
114 → 114
Iterations
IterNodes
done5000
21503
1313
0122

prune468.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample1.5s

Algorithm
intervals
Results
998.0ms10148×body80valid