Details

Time bar (total: 36.1s)

sample41.0ms

Algorithm
intervals
Results
27.0ms323×body80valid

simplify80.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
80.0ms
(fabs (- (/ (+ x 4) y) (* (/ x y) z)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize20.0ms

Local error

Found 3 expressions with local error:

5.2b
(* (/ x y) z)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
0.0b
(/ (+ x 4) y)

rewrite103.0ms

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
pow1 add-log-exp
div-inv associate-/l*
expm1-log1p-u associate-/r* associate-*r* associate-*l/ insert-posit16 log1p-expm1-u
cbrt-undiv div-exp prod-exp cbrt-unprod 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 → 120
Calls
3 calls:
Slowest
68.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
20.0ms
(* (/ x y) z)
13.0ms
(/ (+ x 4) y)

series163.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
79.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
48.0ms
(/ (+ x 4) y)
35.0ms
(* (/ x y) z)

simplify5.9s

Counts
115 → 129
Calls
115 calls:
Slowest
309.0ms
(/ (* (* (+ x 4) (+ x 4)) (+ x 4)) (* (* y y) y))
245.0ms
(/ (exp (/ (+ x 4) y)) (exp (* (/ x y) z)))
239.0ms
(fma (/ 1 (sqrt y)) (/ (+ x 4) (sqrt y)) (- (* z (/ x y))))
235.0ms
(fma (/ 1 (sqrt y)) (/ (+ x 4) (sqrt y)) (- (* z (/ x y))))
225.0ms
(* (* (* (/ x y) (/ x y)) (/ x y)) (* (* z z) z))

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite55.0ms

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
cbrt-prod associate-*l/
pow-prod-down
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
frac-times
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
pow1/3 associate-*r/
associate-*r* associate-*l* *-commutative
Counts
4 → 96
Calls
4 calls:
Slowest
52.0ms
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series875.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
313.0ms
(cbrt x)
282.0ms
(cbrt x)
239.0ms
(cbrt x)
41.0ms
(* (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify12.5s

Counts
66 → 108
Calls
66 calls:
Slowest
650.0ms
(* (* (/ x y) (/ x y)) (* (/ x y) (* (* z z) z)))
596.0ms
(+ (log (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y)))) (+ (log (/ (cbrt x) (cbrt y))) (log z)))
445.0ms
(+ (+ (log (/ (cbrt x) (cbrt y))) (log (/ (cbrt x) (cbrt y)))) (+ (log (/ (cbrt x) (cbrt y))) (log z)))
408.0ms
(+ (+ (- (log (cbrt x)) (log (cbrt y))) (- (log (cbrt x)) (log (cbrt y)))) (+ (log (/ (cbrt x) (cbrt y))) (log z)))
400.0ms
(* (* (* (* (/ (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)))

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

5.2b
(* (/ x y) z)
0.0b
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
0.0b
(+ (/ x y) (/ 4 y))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
37×times-frac
31×add-sqr-sqrt
26×add-cube-cbrt
13×fma-def associate-*l*
12×distribute-lft-out
10×add-log-exp
add-cbrt-cube fma-neg prod-diff add-exp-log div-inv
pow1
associate-*l/
expm1-log1p-u distribute-rgt-out associate-*r* frac-sub insert-posit16 log1p-expm1-u
sum-log flip3-+ diff-log frac-add prod-exp cbrt-unprod flip-+ unswap-sqr
cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 104
Calls
3 calls:
Slowest
99.0ms
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
25.0ms
(+ (/ x y) (/ 4 y))
9.0ms
(* (/ x y) z)

series143.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
56.0ms
(+ (/ x y) (/ 4 y))
52.0ms
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
34.0ms
(* (/ x y) z)

simplify6.0s

Counts
86 → 113
Calls
86 calls:
Slowest
573.0ms
(/ (* (exp (/ x y)) (exp (/ 4 y))) (exp (* (/ x y) z)))
474.0ms
(/ (exp (+ (/ x y) (/ 4 y))) (exp (* (/ x y) z)))
431.0ms
(fma (/ 1 (* (cbrt y) (cbrt y))) (+ (/ x (cbrt y)) (/ 4 (cbrt y))) (- (* z (/ x y))))
373.0ms
(- (* (- (* (/ x y) (/ x y)) (* (/ 4 y) (/ 4 y))) y) (* (- (/ x y) (/ 4 y)) (* x z)))
366.0ms
(- (* (+ (* x y) (* y 4)) y) (* (* y y) (* x z)))

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt
times-frac
add-log-exp
add-cbrt-cube fma-neg prod-diff add-exp-log
associate-/r* associate-/l*
expm1-log1p-u pow1 flip3-- diff-log insert-posit16 log1p-expm1-u flip-- distribute-lft-out associate-/l/
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
69.0ms
(/ (- (+ x 4) (* x z)) y)
33.0ms
(- (+ x 4) (* x z))

series115.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
78.0ms
(/ (- (+ x 4) (* x z)) y)
37.0ms
(- (+ x 4) (* x z))

simplify3.6s

Counts
45 → 64
Calls
45 calls:
Slowest
421.0ms
(- (pow (+ x 4) 3) (pow (* x z) 3))
256.0ms
(- (* (+ x 4) (+ x 4)) (* (* x z) (* x z)))
172.0ms
(/ (- (+ x 4) (* x z)) (cbrt y))
152.0ms
(/ (* (* (- (+ x 4) (* x z)) (- (+ x 4) (* x z))) (- (+ x 4) (* x z))) (* (* y y) y))
146.0ms
(/ (- (+ x 4) (* x z)) y)

prune635.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (0.6b remaining)

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

bsearch3.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s10114×body80valid