Details

Time bar (total: 36.8s)

sample32.0ms

Algorithm
intervals
Results
21.0ms311×body80valid

simplify55.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
55.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize16.0ms

Local error

Found 3 expressions with local error:

2.7b
(* (/ x y) z)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
0.0b
(/ (+ x 4) y)

rewrite89.0ms

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
52.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
26.0ms
(/ (+ x 4) y)
9.0ms
(* (/ x y) z)

series139.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
61.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
39.0ms
(* (/ x y) z)
38.0ms
(/ (+ x 4) y)

simplify2.2s

Counts
68 → 91
Calls
68 calls:
Slowest
309.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
252.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
201.0ms
(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))
180.0ms
(- (* (+ x 4) y) (* y (* x z)))
149.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune913.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite75.0ms

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
9×cbrt-prod associate-*l/
8×pow-prod-down
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×frac-times
4×insert-posit16 add-log-exp
3×pow1/3 associate-*r/
1×associate-*r* associate-*l* *-commutative
Counts
4 → 88
Calls
4 calls:
Slowest
68.0ms
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series899.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
300.0ms
(cbrt y)
291.0ms
(cbrt y)
270.0ms
(cbrt y)
37.0ms
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify12.4s

Counts
66 → 100
Calls
66 calls:
Slowest
658.0ms
(+ (log (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (+ (log (/ (cbrt x) (cbrt y))) (log z)))
595.0ms
(+ (log (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (+ (- (log (cbrt x)) (log (cbrt y))) (log z)))
422.0ms
(+ (+ (log (/ (cbrt x) (cbrt y))) (log (/ (cbrt x) (cbrt y)))) (+ (log (/ (cbrt x) (cbrt y))) (log z)))
416.0ms
(* (* (* (* (/ (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)))
402.0ms
(+ (+ (log (/ (cbrt x) (cbrt y))) (log (/ (cbrt x) (cbrt y)))) (log (* (/ (cbrt x) (cbrt y)) z)))

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (/ x y) z)
0.2b
(/ 1 (/ y (+ x 4)))
0.0b
(- (/ 1 (/ y (+ x 4))) (* (/ x y) z))
0.0b
(/ y (+ x 4))

rewrite68.0ms

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
38.0ms
(- (/ 1 (/ y (+ x 4))) (* (/ x y) z))
9.0ms
(/ 1 (/ y (+ x 4)))
9.0ms
(* (/ x y) z)
7.0ms
(/ y (+ x 4))

series145.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
45.0ms
(- (/ 1 (/ y (+ x 4))) (* (/ x y) z))
39.0ms
(* (/ x y) z)
32.0ms
(/ 1 (/ y (+ x 4)))
28.0ms
(/ y (+ x 4))

simplify10.7s

Counts
208 → 190
Calls
208 calls:
Slowest
394.0ms
(/ (sqrt 1) (/ y (- (* x x) (* 4 4))))
326.0ms
(- (+ (* 1/64 (* (pow x 2) y)) (* 1/4 y)) (* 1/16 (* x y)))
294.0ms
(/ 1 (/ y (- (* x x) (* 4 4))))
291.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ y (- (* x x) (* 4 4))))
283.0ms
(/ (sqrt 1) (/ y (+ (pow x 3) (pow 4 3))))

prune1.9s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

4.9b
(* x (/ z y))
0.0b
(+ (/ x y) (/ 4 y))
0.0b
(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))

rewrite81.0ms

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
62.0ms
(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
10.0ms
(+ (/ x y) (/ 4 y))
8.0ms
(* x (/ z y))

series138.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
65.0ms
(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
50.0ms
(+ (/ x y) (/ 4 y))
22.0ms
(* x (/ z y))

simplify2.9s

Counts
54 → 78
Calls
54 calls:
Slowest
371.0ms
(* (+ (* (/ x y) (/ x y)) (- (* (/ 4 y) (/ 4 y)) (* (/ x y) (/ 4 y)))) y)
297.0ms
(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) y) (* (- (/ x y) (/ 4 y)) (* x z)))
272.0ms
(- (* (+ (* x y) (* y 4)) y) (* (* y y) (* x z)))
261.0ms
(* (* (* x x) x) (* (* (/ z y) (/ z y)) (/ z y)))
211.0ms
(/ (exp (+ (/ x y) (/ 4 y))) (exp (* x (/ z y))))

prune820.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.6b remaining)

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

bsearch2.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.1s10114×body80valid