Details

Time bar (total: 24.7s)

sample47.0ms

Algorithm
intervals
Results
32.0ms332×body80valid

simplify90.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
89.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize15.0ms

Local error

Found 3 expressions with local error:

3.7b
(* (/ x y) z)
0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))

rewrite69.0ms

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
28.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
22.0ms
(/ (+ x 4) y)
16.0ms
(* (/ x y) z)

series129.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
59.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
36.0ms
(/ (+ x 4) y)
34.0ms
(* (/ x y) z)

simplify2.2s

Counts
68 → 91
Calls
68 calls:
Slowest
310.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
216.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
182.0ms
(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))
139.0ms
(- (* (+ x 4) y) (* y (* x z)))
135.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))

prune916.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

7.9b
(cbrt (/ x y))
7.9b
(cbrt (/ x y))
7.9b
(cbrt (/ x y))
1.0b
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
9×associate-*l/
8×pow-prod-down prod-exp cbrt-unprod
5×frac-times
4×insert-posit16 add-log-exp
3×pow1/3 associate-*r/ div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 99
Calls
4 calls:
Slowest
43.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))
3.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series296.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
104.0ms
(cbrt (/ x y))
85.0ms
(cbrt (/ x y))
68.0ms
(cbrt (/ x y))
39.0ms
(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) z))

simplify4.3s

Counts
77 → 111
Calls
77 calls:
Slowest
352.0ms
(exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x)))))
343.0ms
(* (* (/ x y) (/ x y)) (* (/ x y) (* (* z z) z)))
324.0ms
(exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x)))))
290.0ms
(exp (* 1/3 (- (log (/ -1 y)) (log (/ -1 x)))))
232.0ms
(exp (* 1/3 (- (log x) (log y))))

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (/ x y) z)
0.6b
(cbrt (/ (+ x 4) y))
0.6b
(cbrt (/ (+ x 4) y))
0.6b
(cbrt (/ (+ x 4) y))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
48×cbrt-prod
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
13×associate-*l*
9×add-cbrt-cube add-exp-log distribute-lft-out
6×pow1
4×insert-posit16 div-inv add-log-exp
3×cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 111
Calls
4 calls:
Slowest
16.0ms
(* (/ x y) z)
6.0ms
(cbrt (/ (+ x 4) y))
6.0ms
(cbrt (/ (+ x 4) y))
6.0ms
(cbrt (/ (+ x 4) y))

series324.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
101.0ms
(cbrt (/ (+ x 4) y))
94.0ms
(cbrt (/ (+ x 4) y))
90.0ms
(cbrt (/ (+ x 4) y))
39.0ms
(* (/ x y) z)

simplify3.5s

Counts
86 → 123
Calls
86 calls:
Slowest
283.0ms
(- (+ (* 1/12 (* x (exp (* 1/3 (- (log 4) (log y)))))) (exp (* 1/3 (- (log 4) (log y))))) (* 1/144 (* (pow x 2) (exp (* 1/3 (- (log 4) (log y)))))))
268.0ms
(- (+ (* 1/12 (* x (exp (* 1/3 (- (log 4) (log y)))))) (exp (* 1/3 (- (log 4) (log y))))) (* 1/144 (* (pow x 2) (exp (* 1/3 (- (log 4) (log y)))))))
242.0ms
(- (+ (* 4/3 (/ (exp (* 1/3 (- (log (/ 1 y)) (log (/ 1 x))))) x)) (exp (* 1/3 (- (log (/ 1 y)) (log (/ 1 x)))))) (* 16/9 (/ (exp (* 1/3 (- (log (/ 1 y)) (log (/ 1 x))))) (pow x 2))))
240.0ms
(- (+ (* 4/3 (/ (exp (* 1/3 (- (log (/ 1 y)) (log (/ 1 x))))) x)) (exp (* 1/3 (- (log (/ 1 y)) (log (/ 1 x)))))) (* 16/9 (/ (exp (* 1/3 (- (log (/ 1 y)) (log (/ 1 x))))) (pow x 2))))
239.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z))
1.1b
(* (/ (cbrt x) y) z)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
28×add-sqr-sqrt
23×associate-*l*
21×add-cbrt-cube
20×*-un-lft-identity times-frac add-cube-cbrt
18×pow1
16×cbrt-prod
15×prod-exp cbrt-unprod
9×pow-prod-down
4×associate-*r* insert-posit16 add-log-exp
3×cbrt-undiv div-exp unswap-sqr
2×pow1/3 associate-*l/ *-commutative
1×associate-*r/ div-inv
Counts
4 → 95
Calls
4 calls:
Slowest
39.0ms
(* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z))
10.0ms
(* (/ (cbrt x) y) z)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series834.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
307.0ms
(cbrt x)
286.0ms
(cbrt x)
157.0ms
(* (/ (cbrt x) y) z)
84.0ms
(* (* (cbrt x) (cbrt x)) (* (/ (cbrt x) y) z))

simplify5.4s

Counts
70 → 107
Calls
70 calls:
Slowest
613.0ms
(* (* x x) (* (/ x (* (* y y) y)) (* (* z z) z)))
500.0ms
(* (pow (* x -1) 1/3) (/ (* (cbrt -1) z) y))
357.0ms
(+ (+ (log (cbrt x)) (log (cbrt x))) (+ (- (log (cbrt x)) (log y)) (log z)))
351.0ms
(+ (log (* (cbrt x) (cbrt x))) (+ (- (log (cbrt x)) (log y)) (log z)))
344.0ms
(+ (log (* (cbrt x) (cbrt x))) (+ (log (/ (cbrt x) y)) (log z)))

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes156.0ms

Accuracy

62% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.8b

bsearch142.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s10098×body80valid