Details

Time bar (total: 59.6s)

sample34.0ms

Algorithm
intervals
Results
23.0ms325×body80valid

simplify97.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
97.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize34.0ms

Local error

Found 3 expressions with local error:

3.0b
(* (/ x y) z)
0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))

rewrite63.0ms

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
36.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
14.0ms
(/ (+ x 4) y)
11.0ms
(* (/ x y) z)

series152.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
79.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
48.0ms
(/ (+ x 4) y)
25.0ms
(* (/ x y) z)

simplify5.2s

Counts
108 → 91
Calls
108 calls:
Slowest
309.0ms
(exp (- (/ (+ x 4) y) (* (/ x y) z)))
306.0ms
(* (* (/ (+ x 4) y) (/ (+ x 4) y)) (/ (+ x 4) y))
291.0ms
(* (* (* (/ x y) z) (* (/ x y) z)) (* (/ x y) z))
263.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
260.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))

prune969.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

3.0b
(* (/ x y) z)
0.0b
(+ (/ x y) (/ 4 y))
0.0b
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×add-sqr-sqrt
16×times-frac
13×associate-*l* add-cube-cbrt
10×add-log-exp
add-cbrt-cube add-exp-log
pow1
associate-*l/ distribute-lft-out
associate-*r* 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 y) z))
22.0ms
(* (/ x y) z)
13.0ms
(+ (/ x y) (/ 4 y))

series156.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
61.0ms
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
55.0ms
(+ (/ x y) (/ 4 y))
39.0ms
(* (/ x y) z)

simplify8.2s

Counts
86 → 78
Calls
86 calls:
Slowest
1.3s
(* (* (- (+ (/ x y) (/ 4 y)) (* (/ x y) z)) (- (+ (/ x y) (/ 4 y)) (* (/ x y) z))) (- (+ (/ x y) (/ 4 y)) (* (/ x y) z)))
476.0ms
(/ (exp (+ (/ x y) (/ 4 y))) (exp (* (/ x y) z)))
442.0ms
(/ (* (exp (/ x y)) (exp (/ 4 y))) (exp (* (/ x y) z)))
413.0ms
(* (* (+ (/ x y) (/ 4 y)) (+ (/ x y) (/ 4 y))) (+ (/ x y) (/ 4 y)))
411.0ms
(- (* (+ (/ x y) (/ 4 y)) (+ (/ x y) (/ 4 y))) (* (* (/ x y) z) (* (/ x y) z)))

prune837.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

3.3b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))
2.3b
(* (/ (cbrt x) y) z)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×*-un-lft-identity add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
1-exp
associate-*r* pow-prod-down associate-*l/ insert-posit16 add-log-exp
unswap-sqr
pow1/3 *-commutative div-inv
frac-times associate-*r/
Counts
4 → 113
Calls
4 calls:
Slowest
46.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))
11.0ms
(* (/ (cbrt x) y) z)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series823.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
307.0ms
(cbrt x)
283.0ms
(cbrt x)
177.0ms
(* (/ (cbrt x) y) z)
56.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify16.7s

Counts
131 → 125
Calls
131 calls:
Slowest
681.0ms
(* (/ (* x x) (* (* 1 1) 1)) (* (/ x (* (* y y) y)) (* (* z z) z)))
627.0ms
(* (pow (* x -1) 1/3) (/ (* (cbrt -1) z) y))
559.0ms
(real->posit16 (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z)))
551.0ms
(+ (log (/ (* (cbrt x) (cbrt x)) 1)) (+ (- (log (cbrt x)) (log y)) (log z)))
549.0ms
(sqrt (* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z)))

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

3.5b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))
1.5b
(* (/ x (cbrt y)) z)
0.6b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
89×add-exp-log
47×prod-exp
45×add-sqr-sqrt
35×add-cbrt-cube associate-*l*
29×cbrt-prod *-un-lft-identity add-cube-cbrt
23×times-frac
21×cbrt-unprod
20×div-exp
18×pow1
10×cbrt-undiv associate-*r*
pow1/3 unswap-sqr
rec-exp 1-exp swap-sqr pow-prod-down
associate-*l/ insert-posit16 add-log-exp
*-commutative
pow-sqr pow-prod-up div-inv
pow2 frac-times pow-plus associate-*r/
Counts
4 → 148
Calls
4 calls:
Slowest
78.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))
18.0ms
(* (/ x (cbrt y)) z)
9.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)

series827.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
306.0ms
(* (cbrt y) (cbrt y))
269.0ms
(cbrt y)
176.0ms
(* (/ x (cbrt y)) z)
76.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify19.4s

Counts
172 → 160
Calls
172 calls:
Slowest
837.0ms
(+ (- 0 (log (* (cbrt y) (cbrt y)))) (log (* (/ x (cbrt y)) z)))
500.0ms
(* (/ (* (* 1 1) 1) (* (* (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y))) (* (cbrt y) (cbrt y)))) (* (* (* (/ x (cbrt y)) (/ x (cbrt y))) (/ x (cbrt y))) (* (* z z) z)))
490.0ms
(+ (- 0 (+ (log (cbrt y)) (log (cbrt y)))) (log (* (/ x (cbrt y)) z)))
481.0ms
(cbrt (* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z)))
460.0ms
(+ (- (log (* (cbrt y) (cbrt y)))) (+ (- (log x) (log (cbrt y))) (log z)))

prune2.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes187.0ms

Accuracy

92.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch102.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s10103×body80valid