Details

Time bar (total: 15.4s)

sample71.0ms

Algorithm
intervals
Results
21.0ms33×body1280valid
17.0ms176×body80valid
12.0ms27×body640valid
4.0ms12×body320valid
2.0ms8×body160valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done22
322
219
113
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (sin y))
0.0b
(+ (+ x (sin y)) (* z (cos y)))
0.1b
(* z (cos y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
4×sum-log
3×associate-*r* associate-*l*
2×+-commutative flip3-+ flip-+
1×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
5.0ms
(+ x (sin y))
36.0ms
(+ (+ x (sin y)) (* z (cos y)))
10.0ms
(* z (cos y))

series137.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ x (sin y))
48.0ms
(+ (+ x (sin y)) (* z (cos y)))
46.0ms
(* z (cos y))

simplify2.4s

Counts
52 → 52
Iterations
IterNodes
done5001
34605
2778
1205
079

prune285.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ x y) (* z (cos y)))
0.1b
(* z (cos y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×sum-log associate-*r* associate-*l*
1×+-commutative associate-+l+ flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 31
Calls
2 calls:
33.0ms
(+ (+ x y) (* z (cos y)))
11.0ms
(* z (cos y))

series133.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ (+ x y) (* z (cos y)))
77.0ms
(* z (cos y))

simplify1.8s

Counts
37 → 37
Iterations
IterNodes
done5000
33243
2598
1158
062

prune214.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (cos y))
0.1b
(* z (cos y))
0.1b
(* z (cos y))
26.0b
(/ (* (+ (* z (cos y)) (+ x (sin y))) (- (+ x (sin y)) (* z (cos y)))) (- (+ x (sin y)) (* z (cos y))))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-cbrt-cube add-exp-log
12×*-un-lft-identity add-cube-cbrt
10×pow1
9×associate-*r* associate-*l*
8×associate-/l/
4×frac-times flip3-- prod-exp cbrt-unprod flip-- add-log-exp
3×associate-/r* flip3-+ times-frac pow-prod-down *-commutative flip-+ unswap-sqr
2×cbrt-undiv div-exp associate-*l/ associate-*r/ associate-/r/
1×clear-num frac-2neg div-inv associate-/l*
Counts
4 → 85
Calls
4 calls:
7.0ms
(* z (cos y))
7.0ms
(* z (cos y))
8.0ms
(* z (cos y))
117.0ms
(/ (* (+ (* z (cos y)) (+ x (sin y))) (- (+ x (sin y)) (* z (cos y)))) (- (+ x (sin y)) (* z (cos y))))

series230.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* z (cos y))
53.0ms
(* z (cos y))
58.0ms
(* z (cos y))
59.0ms
(/ (* (+ (* z (cos y)) (+ x (sin y))) (- (+ x (sin y)) (* z (cos y)))) (- (+ x (sin y)) (* z (cos y))))

simplify2.3s

Counts
97 → 97
Iterations
IterNodes
done5000
22579
1355
0108

prune629.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

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

rewrite314.0ms

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:
217.0ms
(* (cbrt (- (+ x (sin y)) (* z (cos y)))) (cbrt (- (+ x (sin y)) (* z (cos y)))))
32.0ms
(cbrt (- (+ x (sin y)) (* z (cos y))))
30.0ms
(cbrt (- (+ x (sin y)) (* z (cos y))))
30.0ms
(cbrt (- (+ x (sin y)) (* z (cos y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
300.0ms
(* (cbrt (- (+ x (sin y)) (* z (cos y)))) (cbrt (- (+ x (sin y)) (* z (cos y)))))
279.0ms
(cbrt (- (+ x (sin y)) (* z (cos y))))
280.0ms
(cbrt (- (+ x (sin y)) (* z (cos y))))
255.0ms
(cbrt (- (+ x (sin y)) (* z (cos y))))

simplify1.4s

Counts
99 → 99
Iterations
IterNodes
done5001
21615
1400
0154

prune666.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes385.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s5579×body80valid
781.0ms1012×body1280valid
405.0ms818×body640valid
257.0ms401×body320valid
41.0ms190×body160valid