Details

Time bar (total: 27.8s)

sample61.0ms

Algorithm
intervals
Results
42.0ms323×body80valid

simplify106.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
106.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize21.0ms

Local error

Found 3 expressions with local error:

5.2b
(* (/ x y) z)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
0.0b
(/ (+ x 4) y)

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
pow1 add-log-exp
distribute-lft-out associate-/l*
associate-/r* associate-*r* associate-*l/ insert-posit16
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
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
54.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
13.0ms
(/ (+ x 4) y)
9.0ms
(* (/ x y) z)

series142.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
65.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
48.0ms
(/ (+ x 4) y)
29.0ms
(* (/ x y) z)

simplify2.2s

Counts
68 → 91
Calls
68 calls:
Slowest
258.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
222.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
196.0ms
(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))
132.0ms
(- (* (+ x 4) y) (* y (* x z)))
122.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune864.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
16×pow1
cbrt-prod associate-*l/
pow-prod-down
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
frac-times
insert-posit16 add-log-exp
pow1/3 associate-*r/
associate-*r* associate-*l* *-commutative
Counts
4 → 88
Calls
4 calls:
Slowest
56.0ms
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series860.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
293.0ms
(cbrt x)
262.0ms
(cbrt x)
262.0ms
(cbrt x)
43.0ms
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify12.7s

Counts
66 → 100
Calls
66 calls:
Slowest
724.0ms
(* (* (* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (cbrt x) (cbrt y))) (/ x y)) (* (* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (cbrt x) (cbrt y))) (* (* z z) z)))
563.0ms
(+ (log (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (+ (log (/ (cbrt x) (cbrt y))) (log z)))
417.0ms
(+ (+ (log (/ (cbrt x) (cbrt y))) (log (/ (cbrt x) (cbrt y)))) (log (* (/ (cbrt x) (cbrt y)) z)))
411.0ms
(* (* (* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (* (* (* (/ (cbrt x) (cbrt y)) z) (* (/ (cbrt x) (cbrt y)) z)) (* (/ (cbrt x) (cbrt y)) z)))
399.0ms
(* (* (/ x y) (* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (cbrt x) (cbrt y)))) (* (* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (/ (cbrt x) (cbrt y))) (* (* z z) z)))

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

3.4b
(/ (- (+ x 4) (* x z)) y)
0.0b
(- (+ x 4) (* x z))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
times-frac
add-log-exp
add-cbrt-cube add-exp-log
associate-/r* associate-/l*
pow1 flip3-- diff-log insert-posit16 flip-- associate-/l/
cbrt-undiv clear-num sum-log sub-neg frac-2neg div-sub div-exp associate--l+ div-inv
Counts
2 → 46
Calls
2 calls:
Slowest
53.0ms
(/ (- (+ x 4) (* x z)) y)
25.0ms
(- (+ x 4) (* x z))

series95.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
58.0ms
(/ (- (+ x 4) (* x z)) y)
37.0ms
(- (+ x 4) (* x z))

simplify3.1s

Counts
35 → 52
Calls
35 calls:
Slowest
417.0ms
(- (pow (+ x 4) 3) (pow (* x z) 3))
205.0ms
(- (* (+ x 4) (+ x 4)) (* (* x z) (* x z)))
174.0ms
(/ (* (exp x) (exp 4)) (exp (* x z)))
151.0ms
(/ (exp (+ x 4)) (exp (* x z)))
144.0ms
(/ (* (* (- (+ x 4) (* x z)) (- (+ x 4) (* x z))) (- (+ x 4) (* x z))) (* (* y y) y))

prune437.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

7.5b
(* x (/ z y))
0.0b
(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
0.0b
(+ (/ x y) (/ 4 y))

rewrite116.0ms

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
add-cbrt-cube add-exp-log
pow1
associate-*r/ distribute-lft-out
associate-*l* frac-sub insert-posit16 div-inv
sum-log flip3-+ diff-log frac-add prod-exp cbrt-unprod flip-+ unswap-sqr
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
94.0ms
(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
12.0ms
(* x (/ z y))
10.0ms
(+ (/ x y) (/ 4 y))

series152.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
83.0ms
(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
36.0ms
(+ (/ x y) (/ 4 y))
32.0ms
(* x (/ z y))

simplify2.7s

Counts
54 → 78
Calls
54 calls:
Slowest
366.0ms
(* (+ (* (/ x y) (/ x y)) (- (* (/ 4 y) (/ 4 y)) (* (/ x y) (/ 4 y)))) y)
346.0ms
(- (* (+ (* x y) (* y 4)) y) (* (* y y) (* x z)))
285.0ms
(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) y) (* (- (/ x y) (/ 4 y)) (* x z)))
240.0ms
(/ (exp (+ (/ x y) (/ 4 y))) (exp (* x (/ z y))))
191.0ms
(/ (* (exp (/ x y)) (exp (/ 4 y))) (exp (* x (/ z y))))

prune755.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes266.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch4.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s10114×body80valid