Details

Time bar (total: 41.1s)

sample33.0ms

Algorithm
intervals
Results
23.0ms311×body80valid

simplify72.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
72.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize36.0ms

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
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 → 120
Calls
3 calls:
Slowest
48.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
19.0ms
(* (/ x y) z)
19.0ms
(/ (+ x 4) y)

series148.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
75.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
48.0ms
(/ (+ x 4) y)
25.0ms
(* (/ x y) z)

simplify6.7s

Counts
115 → 129
Calls
115 calls:
Slowest
529.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
323.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
272.0ms
(fma (/ 1 (sqrt y)) (/ (+ x 4) (sqrt y)) (- (* z (/ x y))))
257.0ms
(fma (/ 1 (sqrt y)) (/ (+ x 4) (sqrt y)) (- (* z (/ x y))))
245.0ms
(fma (/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x 4)) (cbrt y)) (- (* z (/ x y))))

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

4.9b
(* x (* (/ 1 y) z))
0.2b
(* (/ 1 y) z)
0.0b
(- (/ (+ x 4) y) (* x (* (/ 1 y) z)))
0.0b
(/ (+ x 4) y)

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
47×times-frac
45×add-sqr-sqrt
38×add-cube-cbrt
30×add-exp-log
20×add-cbrt-cube
16×fma-neg associate-*l* prod-diff
13×prod-exp
11×pow1
10×distribute-lft-out
7×cbrt-unprod
6×add-log-exp
5×div-exp
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ insert-posit16 log1p-expm1-u div-inv associate-/l*
3×cbrt-undiv associate-/r* associate-*r/ unswap-sqr
2×rec-exp 1-exp *-commutative associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log frac-sub flip-+ flip-- sub-div
Counts
4 → 149
Calls
4 calls:
Slowest
78.0ms
(- (/ (+ x 4) y) (* x (* (/ 1 y) z)))
27.0ms
(* x (* (/ 1 y) z))
25.0ms
(* (/ 1 y) z)
14.0ms
(/ (+ x 4) y)

series124.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
46.0ms
(- (/ (+ x 4) y) (* x (* (/ 1 y) z)))
40.0ms
(/ (+ x 4) y)
28.0ms
(* x (* (/ 1 y) z))
10.0ms
(* (/ 1 y) z)

simplify14.4s

Counts
134 → 161
Calls
134 calls:
Slowest
552.0ms
(* (* (* x x) x) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* z z) z)))
482.0ms
(* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* z z) z))
451.0ms
(fma (/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x 4)) (cbrt y)) (- (* (* (/ 1 y) z) x)))
384.0ms
(* (/ (* (* 1 1) 1) (* (* y y) y)) (* (* z z) z))
363.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*r*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*l* associate-*r/ insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 → 120
Calls
3 calls:
Slowest
70.0ms
(- (/ (+ x 4) y) (* x (/ z y)))
13.0ms
(/ (+ x 4) y)
10.0ms
(* x (/ z y))

series125.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
66.0ms
(- (/ (+ x 4) y) (* x (/ z y)))
34.0ms
(/ (+ x 4) y)
25.0ms
(* x (/ z y))

simplify5.9s

Counts
116 → 129
Calls
116 calls:
Slowest
328.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
296.0ms
(fma (/ 1 (sqrt y)) (/ (+ x 4) (sqrt y)) (- (* (/ z y) x)))
283.0ms
(* (* (* x x) x) (* (* (/ z y) (/ z y)) (/ z y)))
281.0ms
(- (* (+ x 4) y) (* y (* x z)))
279.0ms
(/ (exp (/ (+ x 4) y)) (exp (* x (/ z y))))

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

2.8b
(/ z (/ y x))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
49×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
9×cbrt-prod add-cbrt-cube add-exp-log
5×div-inv
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp associate-/l*
1×clear-num frac-2neg associate-/r/
Counts
4 → 115
Calls
4 calls:
Slowest
5.0ms
(/ z (/ y x))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series927.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
321.0ms
(cbrt y)
287.0ms
(cbrt y)
282.0ms
(cbrt y)
36.0ms
(/ z (/ y x))

simplify4.6s

Counts
118 → 127
Calls
118 calls:
Slowest
544.0ms
(/ (* (cbrt z) (cbrt z)) (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x))))
365.0ms
(/ (* (* z z) z) (* (* (/ y x) (/ y x)) (/ y x)))
244.0ms
(/ (* (cbrt z) (cbrt z)) (/ 1 (* (cbrt x) (cbrt x))))
176.0ms
(/ (* (cbrt z) (cbrt z)) (/ (* (cbrt y) (cbrt y)) 1))
159.0ms
(* (cbrt -1) (pow (* y -1) 1/3))

prune1.5s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes244.0ms

Accuracy

55.5% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.7b

bsearch8.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.1s10114×body80valid