Details

Time bar (total: 11.6s)

sample23.0ms

Algorithm
intervals
Results
10.0ms344×body80valid

simplify992.0ms

Counts
1 → 1
Iterations
IterNodes
done5001
101728
9377
8136
796
675
564
453
334
220
113
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×distribute-rgt-in pow1 associate-+r+ sub-neg distribute-lft-in add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×associate-*r/
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 → 41
Calls
2 calls:
21.0ms
(* z (- 1.0 y))
9.0ms
(+ (* x y) (* z (- 1.0 y)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* z (- 1.0 y))
39.0ms
(+ (* x y) (* z (- 1.0 y)))

simplify2.2s

Counts
47 → 47
Iterations
IterNodes
done5000
33826
2708
1206
077

prune264.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

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:
53.0ms
(* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y)))))
4.0ms
(cbrt (+ (* x y) (* z (- 1.0 y))))
4.0ms
(cbrt (+ (* x y) (* z (- 1.0 y))))
4.0ms
(cbrt (+ (* x y) (* z (- 1.0 y))))

series850.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y)))))
184.0ms
(cbrt (+ (* x y) (* z (- 1.0 y))))
196.0ms
(cbrt (+ (* x y) (* z (- 1.0 y))))
196.0ms
(cbrt (+ (* x y) (* z (- 1.0 y))))

simplify1.4s

Counts
99 → 99
Iterations
IterNodes
done5001
21186
1348
0133

prune561.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
2.2b
(* z (- (* 1.0 1.0) (* y y)))
6.9b
(/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×associate-/r* times-frac associate-*r* associate-*r/
3×associate-*l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-+ flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-+ flip-- distribute-lft-out associate-/l/
1×+-commutative clear-num sum-log frac-2neg pow-prod-down *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 63
Calls
3 calls:
18.0ms
(+ (* x y) (/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
25.0ms
(* z (- (* 1.0 1.0) (* y y)))
22.0ms
(/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

series230.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(+ (* x y) (/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
65.0ms
(* z (- (* 1.0 1.0) (* y y)))
95.0ms
(/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

simplify1.3s

Counts
72 → 72
Iterations
IterNodes
done5000
22085
1405
0126

prune389.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 y))
0.0b
(+ (* x y) (* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))
0.1b
(* z (sqrt (- 1.0 y)))
0.1b
(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity sqrt-div associate-*r* sqrt-prod
12×pow1
11×add-cbrt-cube add-exp-log
10×associate-*r/ add-cube-cbrt
8×flip3-- flip--
6×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out-- difference-of-squares
2×associate-*l/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 flip3-+ pow1/2 flip-+
Counts
4 → 85
Calls
4 calls:
6.0ms
(sqrt (- 1.0 y))
7.0ms
(+ (* x y) (* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))
19.0ms
(* z (sqrt (- 1.0 y)))
67.0ms
(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(sqrt (- 1.0 y))
39.0ms
(+ (* x y) (* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y))))
89.0ms
(* z (sqrt (- 1.0 y)))
44.0ms
(* (* z (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

simplify1.2s

Counts
97 → 97
Iterations
IterNodes
done5000
22042
1434
0161

prune430.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes281.0ms

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

sample812.0ms

Algorithm
intervals
Results
484.0ms10134×body80valid