Details

Time bar (total: 12.0s)

sample24.0ms

Algorithm
intervals
Results
9.0ms309×body80valid

simplify939.0ms

Counts
1 → 1
Iterations
IterNodes
done5001
101750
9381
8140
7100
679
568
453
334
220
113
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:
12.0ms
(+ (* (- 1.0 x) y) (* x z))
18.0ms
(* (- 1.0 x) y)

series73.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* (- 1.0 x) y) (* x z))
34.0ms
(* (- 1.0 x) y)

simplify777.0ms

Counts
39 → 39
Iterations
IterNodes
done5000
2767
1190
071

prune160.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
0.1b
(* x (* x x))
3.6b
(* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x))))
10.4b
(/ (* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite362.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
16×add-cbrt-cube add-exp-log
12×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
6×associate-*l* add-log-exp
5×associate-*r* prod-exp pow-prod-up cbrt-unprod
4×pow-prod-down associate-*r/
3×associate-/r* times-frac cube-unmult
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-+ flip3-- div-exp associate-/r/ *-commutative flip-+ flip-- unswap-sqr associate-/l/
1×pow2 difference-cubes +-commutative clear-num sum-log frac-2neg pow-plus pow-sqr div-inv associate-/l*
Counts
4 → 85
Calls
4 calls:
138.0ms
(+ (/ (* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
15.0ms
(* x (* x x))
147.0ms
(* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x))))
60.0ms
(/ (* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series546.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(+ (/ (* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
40.0ms
(* x (* x x))
124.0ms
(* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x))))
204.0ms
(/ (* y (- (* 1.0 (* 1.0 1.0)) (* x (* x x)))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify1.7s

Counts
97 → 97
Iterations
IterNodes
done5002
22615
1496
0160

prune433.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (- 1.0 x) y) (* (- 1.0 x) y))
0.3b
(* (* x z) (* x z))
2.8b
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
26.0b
(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

rewrite392.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-cbrt-cube add-exp-log
16×prod-exp cbrt-unprod
14×associate-*l/
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
9×flip3-- flip--
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×frac-times pow-plus associate-/l*
3×associate-/r*
2×pow2 swap-sqr associate-*r* associate-*l* associate-*r/ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
4 → 125
Calls
4 calls:
71.0ms
(* (* (- 1.0 x) y) (* (- 1.0 x) y))
29.0ms
(* (* x z) (* x z))
99.0ms
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
186.0ms
(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

series471.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (* (- 1.0 x) y) (* (- 1.0 x) y))
51.0ms
(* (* x z) (* x z))
117.0ms
(- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z)))
254.0ms
(/ (- (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (* (* x z) (* x z))) (- (* (- 1.0 x) y) (* x z)))

simplify1.9s

Counts
137 → 137
Iterations
IterNodes
done5000
23371
1568
0187

prune510.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (- 1.0 x) y) (* (- 1.0 x) y))
0.3b
(* (* x z) (* x z))
11.5b
(/ (* (* x z) (* x z)) (- (* (- 1.0 x) y) (* x z)))
20.2b
(/ (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (- (* (- 1.0 x) y) (* x z)))

rewrite271.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
64×add-cbrt-cube add-exp-log
34×pow-prod-down
32×prod-exp cbrt-unprod
28×associate-*l/
14×flip3-- flip--
10×cbrt-undiv div-exp
8×add-sqr-sqrt frac-times *-un-lft-identity pow-sqr pow-prod-up add-cube-cbrt associate-/l/
6×associate-/r* times-frac
4×pow-plus associate-*r/ associate-/r/ add-log-exp
2×pow2 clear-num frac-2neg swap-sqr associate-*r* associate-*l* *-commutative div-inv associate-/l*
Counts
4 → 142
Calls
4 calls:
62.0ms
(* (* (- 1.0 x) y) (* (- 1.0 x) y))
40.0ms
(* (* x z) (* x z))
62.0ms
(/ (* (* x z) (* x z)) (- (* (- 1.0 x) y) (* x z)))
98.0ms
(/ (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (- (* (- 1.0 x) y) (* x z)))

series353.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* (- 1.0 x) y) (* (- 1.0 x) y))
40.0ms
(* (* x z) (* x z))
139.0ms
(/ (* (* x z) (* x z)) (- (* (- 1.0 x) y) (* x z)))
131.0ms
(/ (* (* (- 1.0 x) y) (* (- 1.0 x) y)) (- (* (- 1.0 x) y) (* x z)))

simplify870.0ms

Counts
154 → 154
Iterations
IterNodes
done5001
1690
0184

prune580.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes158.0ms

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

sample1.3s

Algorithm
intervals
Results
486.0ms10127×body80valid