Details

Time bar (total: 26.5s)

sample37.0ms

Algorithm
intervals
Results
27.0ms320×body80valid

simplify50.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
49.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize26.0ms

Local error

Found 3 expressions with local error:

4.1b
(* (/ x y) z)
0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-/r* associate-*r* associate-*l/ insert-posit16
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 82
Calls
3 calls:
Slowest
46.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
16.0ms
(/ (+ x 4) y)
14.0ms
(* (/ x y) z)

series141.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
68.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
39.0ms
(/ (+ x 4) y)
33.0ms
(* (/ x y) z)

simplify2.1s

Counts
68 → 91
Calls
68 calls:
Slowest
237.0ms
(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))
234.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
179.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
164.0ms
(- (* (+ x 4) y) (* y (* x z)))
121.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune957.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

3.6b
(* x (/ z y))
0.0b
(+ (/ x y) (/ 4 y))
0.0b
(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×add-sqr-sqrt
16×times-frac
13×associate-*r* add-cube-cbrt
10×add-log-exp
8×add-cbrt-cube add-exp-log
5×pow1
4×associate-*r/ distribute-lft-out
3×associate-*l* frac-sub insert-posit16 div-inv
2×sum-log flip3-+ diff-log frac-add prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative sub-neg distribute-rgt-out flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 69
Calls
3 calls:
Slowest
112.0ms
(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
16.0ms
(* x (/ z y))
10.0ms
(+ (/ x y) (/ 4 y))

series128.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
56.0ms
(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
47.0ms
(+ (/ x y) (/ 4 y))
24.0ms
(* x (/ z y))

simplify2.9s

Counts
54 → 78
Calls
54 calls:
Slowest
360.0ms
(- (* (+ (* x y) (* y 4)) y) (* (* y y) (* x z)))
358.0ms
(* (+ (* (/ x y) (/ x y)) (- (* (/ 4 y) (/ 4 y)) (* (/ x y) (/ 4 y)))) y)
299.0ms
(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) y) (* (- (/ x y) (/ 4 y)) (* x z)))
259.0ms
(* (* (* x x) x) (* (* (/ z y) (/ z y)) (/ z y)))
220.0ms
(/ (* (exp (/ x y)) (exp (/ 4 y))) (exp (* x (/ z y))))

prune858.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

4.1b
(* (/ x y) z)
0.1b
(/ 1 (/ y (+ x 4)))
0.0b
(/ y (+ x 4))
0.0b
(- (/ 1 (/ y (+ x 4))) (* (/ x y) z))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
124×times-frac
104×*-un-lft-identity
77×add-sqr-sqrt
72×add-cube-cbrt
22×associate-/r* add-exp-log
16×add-cbrt-cube distribute-lft-out
13×associate-*l*
11×associate-/r/
9×div-exp
7×pow1 div-inv
6×associate-/l* add-log-exp
5×cbrt-undiv flip3-+ flip-+
4×insert-posit16
3×associate-*r*
2×rec-exp clear-num frac-2neg 1-exp associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub pow-flip flip-- inv-pow
Counts
4 → 178
Calls
4 calls:
Slowest
47.0ms
(- (/ 1 (/ y (+ x 4))) (* (/ x y) z))
20.0ms
(/ 1 (/ y (+ x 4)))
18.0ms
(* (/ x y) z)
15.0ms
(/ y (+ x 4))

series159.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
66.0ms
(- (/ 1 (/ y (+ x 4))) (* (/ x y) z))
35.0ms
(/ y (+ x 4))
34.0ms
(* (/ x y) z)
24.0ms
(/ 1 (/ y (+ x 4)))

simplify11.5s

Counts
208 → 190
Calls
208 calls:
Slowest
431.0ms
(/ (sqrt 1) (/ y (- (* x x) (* 4 4))))
356.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ y (- (* x x) (* 4 4))))
324.0ms
(- (+ (* 1/64 (* (pow x 2) y)) (* 1/4 y)) (* 1/16 (* x y)))
322.0ms
(/ 1 (/ y (- (* x x) (* 4 4))))
319.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ x 4)) (cbrt (+ x 4)))))

prune2.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

8.7b
(/ (* x z) y)
0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (/ (* x z) y))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
19×add-sqr-sqrt
16×times-frac
14×add-cube-cbrt
10×add-cbrt-cube add-exp-log
6×associate-/r*
5×associate-/l* add-log-exp
4×div-inv distribute-lft-out
3×pow1 cbrt-undiv div-exp insert-posit16
2×clear-num frac-2neg difference-of-squares associate-/l/
1×sub-neg flip3-+ flip3-- distribute-rgt-out-- diff-log prod-exp frac-sub cbrt-unprod flip-+ flip-- distribute-lft-out-- sub-div
Counts
3 → 75
Calls
3 calls:
Slowest
42.0ms
(- (/ (+ x 4) y) (/ (* x z) y))
18.0ms
(/ (+ x 4) y)
8.0ms
(/ (* x z) y)

series122.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
66.0ms
(- (/ (+ x 4) y) (/ (* x z) y))
33.0ms
(/ (+ x 4) y)
23.0ms
(/ (* x z) y)

simplify2.3s

Counts
64 → 84
Calls
64 calls:
Slowest
283.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
153.0ms
(- (* (+ x 4) y) (* y (* x z)))
146.0ms
(/ (* (* (* x x) x) (* (* z z) z)) (* (* y y) y))
145.0ms
(/ (* (* (* x z) (* x z)) (* x z)) (* (* y y) y))
130.0ms
(/ (exp (/ (+ x 4) y)) (exp (/ (* x z) y)))

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

95.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.9b

bsearch144.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s10076×body80valid