Details

Time bar (total: 33.5s)

sample134.0ms

Algorithm
intervals
Results
44.0ms85×body1280valid
33.0ms22×body2560valid
24.0ms57×body640valid
8.0ms26×body320valid
6.0ms58×body80valid
2.0ms8×body160valid

simplify323.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
323.0ms
(- (fma x y z) (+ 1 (+ (* x y) z)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.1b

localize30.0ms

Local error

Found 2 expressions with local error:

10.1b
(- (fma x y z) (+ 1 (+ (* x y) z)))
0.0b
(+ (* x y) z)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
7×*-un-lft-identity
4×add-sqr-sqrt sum-log
3×diff-log
2×pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 distribute-lft-out--
1×+-commutative sub-neg flip3-+ flip3-- flip-+ flip-- distribute-lft-out associate--r+ difference-of-squares
Counts
2 → 31
Calls
2 calls:
Slowest
76.0ms
(- (fma x y z) (+ 1 (+ (* x y) z)))
13.0ms
(+ (* x y) z)

series84.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
53.0ms
(- (fma x y z) (+ 1 (+ (* x y) z)))
31.0ms
(+ (* x y) z)

simplify2.2s

Counts
15 → 37
Calls
15 calls:
Slowest
327.0ms
(- (fma x y z) (+ 1 (+ (* x y) z)))
300.0ms
(- (fma x y z) (+ z (+ 1 (* x y))))
277.0ms
(- (fma x y z) (+ z (+ 1 (* x y))))
271.0ms
(- (fma x y z) (+ z (+ 1 (* x y))))
270.0ms
(- (fma x y z) (+ 1 (+ (* x y) z)))

prune383.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 8.6b

localize23.0ms

Local error

Found 3 expressions with local error:

10.2b
(- (fma x y z) (* x y))
0.3b
(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
0.0b
(/ (exp (- (- (fma x y z) (* x y)) z)) E)

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×exp-sum
26×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
25×log-prod
15×sub-neg
14×associate--l+
7×associate-/l*
6×add-exp-log
5×add-cbrt-cube add-log-exp
4×pow1 div-exp
3×associate-/r* rem-log-exp insert-posit16
2×e-exp-1 div-inv
1×cbrt-undiv log-div clear-num frac-2neg flip3-- exp-diff diff-log log-pow flip-- associate-/l/
Counts
3 → 97
Calls
3 calls:
Slowest
85.0ms
(/ (exp (- (- (fma x y z) (* x y)) z)) E)
64.0ms
(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
5.0ms
(- (fma x y z) (* x y))

series191.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
94.0ms
(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
55.0ms
(/ (exp (- (- (fma x y z) (* x y)) z)) E)
42.0ms
(- (fma x y z) (* x y))

simplify21.0s

Counts
93 → 106
Calls
93 calls:
Slowest
865.0ms
(/ (exp (- (- (* x y)) z)) (cbrt E))
583.0ms
(log (/ (* (cbrt (exp (- (- (fma x y z) (* x y)) z))) (cbrt (exp (- (- (fma x y z) (* x y)) z)))) (sqrt E)))
540.0ms
(/ (cbrt (exp (- (- (fma x y z) (* x y)) z))) E)
511.0ms
(/ (* (cbrt (exp (- (- (fma x y z) (* x y)) z))) (cbrt (exp (- (- (fma x y z) (* x y)) z)))) (sqrt E))
501.0ms
(/ (exp (- (- (* x y)) z)) E)

prune1.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 8.6b

localize44.0ms

Local error

Found 2 expressions with local error:

8.2b
(- (fma x y z) (+ (* x y) z))
0.0b
(+ (* x y) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×add-sqr-sqrt *-un-lft-identity
2×pow1 sum-log add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16
1×+-commutative sub-neg flip3-+ flip3-- flip-+ flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
2 → 29
Calls
2 calls:
Slowest
14.0ms
(- (fma x y z) (+ (* x y) z))
6.0ms
(+ (* x y) z)

series70.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
44.0ms
(- (fma x y z) (+ (* x y) z))
26.0ms
(+ (* x y) z)

simplify885.0ms

Counts
12 → 35
Calls
12 calls:
Slowest
276.0ms
(/ (exp (fma x y z)) (* (exp (* x y)) (exp z)))
235.0ms
(/ (exp (fma x y z)) (exp (+ (* x y) z)))
72.0ms
(* (exp (* x y)) (exp z))
69.0ms
(- (fma x y z) (+ z (* x y)))
66.0ms
(- (fma x y z) (+ z (* x y)))

prune454.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 8.1b

localize35.0ms

Local error

Found 4 expressions with local error:

4.2b
(sqrt (fma x y z))
4.2b
(sqrt (fma x y z))
4.2b
(sqrt (+ (* x y) z))
4.2b
(sqrt (+ (* x y) z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 *-un-lft-identity add-cube-cbrt
4×rem-sqrt-square sqrt-pow1 add-cbrt-cube pow1/2 sqrt-div add-exp-log insert-posit16 add-log-exp
2×flip3-+ flip-+
Counts
4 → 60
Calls
4 calls:
Slowest
7.0ms
(sqrt (+ (* x y) z))
7.0ms
(sqrt (+ (* x y) z))
1.0ms
(sqrt (fma x y z))
1.0ms
(sqrt (fma x y z))

series219.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
104.0ms
(sqrt (+ (* x y) z))
87.0ms
(sqrt (+ (* x y) z))
18.0ms
(sqrt (fma x y z))
11.0ms
(sqrt (fma x y z))

simplify1.2s

Counts
36 → 72
Calls
36 calls:
Slowest
367.0ms
(sqrt (+ (pow (* x y) 3) (pow z 3)))
316.0ms
(sqrt (+ (pow (* x y) 3) (pow z 3)))
202.0ms
(sqrt (- (* (* x y) (* x y)) (* z z)))
188.0ms
(sqrt (- (* (* x y) (* x y)) (* z z)))
15.0ms
(sqrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))

prune893.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 8.1b

regimes266.0ms

Accuracy

0% (0.2b remaining)

Error of 8.2b against oracle of 8.0b and baseline of 8.2b

bsearch4.0ms

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.4s2663×body1280valid
680.0ms1622×body640valid
580.0ms2069×body80valid
360.0ms586×body2560valid
184.0ms752×body320valid
50.0ms308×body160valid