Details

Time bar (total: 32.2s)

sample32.0ms

Algorithm
intervals
Results
22.0ms322×body80valid

simplify58.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
58.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

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
38.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
16.0ms
(* (/ x y) z)
13.0ms
(/ (+ x 4) y)

series151.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
78.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
46.0ms
(/ (+ x 4) y)
26.0ms
(* (/ x y) z)

simplify6.1s

Counts
115 → 129
Calls
115 calls:
Slowest
360.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
300.0ms
(fma (/ 1 (sqrt y)) (/ (+ x 4) (sqrt y)) (- (* z (/ x y))))
254.0ms
(fma (/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x 4)) (cbrt y)) (- (* z (/ x y))))
248.0ms
(fma (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x 4) (cbrt y)) (- (* z (/ x y))))
244.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

3.4b
(* (/ x y) z)
0.1b
(fma (+ x 4) (/ 1 y) (- (* (/ x y) z)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×*-un-lft-identity times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
4×pow1
3×associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv
Counts
2 → 46
Calls
2 calls:
Slowest
10.0ms
(* (/ x y) z)
0.0ms
(fma (+ x 4) (/ 1 y) (- (* (/ x y) z)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
62.0ms
(fma (+ x 4) (/ 1 y) (- (* (/ x y) z)))
43.0ms
(* (/ x y) z)

simplify1.0s

Counts
29 → 52
Calls
29 calls:
Slowest
211.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))
156.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
124.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
120.0ms
(- (+ (/ x y) (* 4 (/ 1 y))) (/ (* x z) y))
88.0ms
(* (/ (* (* x x) x) (* (* y y) y)) (* (* z z) z))

prune655.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

2.9b
(/ (- (+ x 4) (* x z)) y)
0.0b
(- (+ x 4) (* x z))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt
9×times-frac
7×add-log-exp
4×add-cbrt-cube fma-neg prod-diff add-exp-log
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 flip3-- diff-log insert-posit16 log1p-expm1-u flip-- distribute-lft-out associate-/l/
1×cbrt-undiv clear-num sum-log sub-neg frac-2neg div-sub div-exp associate--l+ div-inv
Counts
2 → 58
Calls
2 calls:
Slowest
61.0ms
(/ (- (+ x 4) (* x z)) y)
59.0ms
(- (+ x 4) (* x z))

series100.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
64.0ms
(/ (- (+ x 4) (* x z)) y)
36.0ms
(- (+ x 4) (* x z))

simplify3.7s

Counts
45 → 64
Calls
45 calls:
Slowest
400.0ms
(- (pow (+ x 4) 3) (pow (* x z) 3))
204.0ms
(- (* (+ x 4) (+ x 4)) (* (* x z) (* x z)))
163.0ms
(/ (* (* (- (+ x 4) (* x z)) (- (+ x 4) (* x z))) (- (+ x 4) (* x z))) (* (* y y) y))
146.0ms
(/ (- (+ x 4) (* x z)) (sqrt y))
140.0ms
(/ (- (+ x 4) (* x z)) y)

prune640.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

6.4b
(* x (* (/ 1 y) z))
0.2b
(* (/ 1 y) z)
0.0b
(- (/ (+ x 4) y) (* x (* (/ 1 y) z)))
0.0b
(/ (+ x 4) y)

rewrite122.0ms

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
53.0ms
(- (/ (+ x 4) y) (* x (* (/ 1 y) z)))
31.0ms
(* x (* (/ 1 y) z))
21.0ms
(/ (+ x 4) y)
12.0ms
(* (/ 1 y) z)

series164.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
81.0ms
(- (/ (+ x 4) y) (* x (* (/ 1 y) z)))
38.0ms
(* x (* (/ 1 y) z))
28.0ms
(/ (+ x 4) y)
17.0ms
(* (/ 1 y) z)

simplify14.1s

Counts
134 → 161
Calls
134 calls:
Slowest
671.0ms
(fma (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x 4) (cbrt y)) (- (* (* (/ 1 y) z) x)))
547.0ms
(* (* (* x x) x) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* z z) z)))
490.0ms
(* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* z z) z))
399.0ms
(fma (/ (* (cbrt (+ x 4)) (cbrt (+ x 4))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x 4)) (cbrt y)) (- (* (* (/ 1 y) z) x)))
372.0ms
(fma (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x 4) (cbrt y)) (- (* (* (/ 1 y) z) x)))

prune1.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes158.0ms

Accuracy

82.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.8b

bsearch211.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s10070×body80valid