Details

Time bar (total: 15.5s)

sample69.0ms

Algorithm
intervals
Results
32.0ms495×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5000
51844
4493
3171
252
121
011

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.3b
(* (* y 4.0) (- (* z z) t))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
13×prod-diff
10×distribute-rgt-in distribute-lft-in associate--r+
8×add-sqr-sqrt
7×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
5×sub-neg
4×associate-*r* add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ log1p-expm1-u flip--
1×fma-neg diff-log associate-*l* *-commutative difference-of-squares
Counts
2 → 59
Calls
2 calls:
21.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
60.0ms
(* (* y 4.0) (- (* z z) t))

series224.0ms

Counts
2 → 6
Calls
2 calls:
127.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
98.0ms
(* (* y 4.0) (- (* z z) t))

simplify2.0s

Counts
65 → 65
Iterations
IterNodes
done5001
22718
1446
0136

prune356.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (* 4.0 y) z) z) (* 4.0 (* y (- t))))
0.0b
(- (* x x) (+ (* (* (* 4.0 y) z) z) (* 4.0 (* y (- t)))))
0.2b
(* (* (* 4.0 y) z) z)

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-cbrt-cube add-exp-log
10×add-log-exp
8×distribute-rgt-neg-out
6×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
5×*-un-lft-identity add-cube-cbrt
3×expm1-log1p-u associate-*r* prod-diff log1p-expm1-u
2×sum-log diff-log unsub-neg associate--r-
1×+-commutative sub-neg fma-def flip3-+ flip3-- fma-neg associate-*l* *-commutative flip-+ flip-- associate--r+ difference-of-squares
Counts
3 → 62
Calls
3 calls:
51.0ms
(+ (* (* (* 4.0 y) z) z) (* 4.0 (* y (- t))))
195.0ms
(- (* x x) (+ (* (* (* 4.0 y) z) z) (* 4.0 (* y (- t)))))
56.0ms
(* (* (* 4.0 y) z) z)

series270.0ms

Counts
3 → 9
Calls
3 calls:
118.0ms
(+ (* (* (* 4.0 y) z) z) (* 4.0 (* y (- t))))
103.0ms
(- (* x x) (+ (* (* (* 4.0 y) z) z) (* 4.0 (* y (- t)))))
48.0ms
(* (* (* 4.0 y) z) z)

simplify2.1s

Counts
71 → 71
Iterations
IterNodes
done5000
22451
1387
0128

prune449.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (fma (- z) (* 4.0 (* z y)) (pow x 2)) (* 4.0 (* y t)))
0.0b
(* 4.0 (* z y))
0.1b
(fma (- z) (* 4.0 (* z y)) (pow x 2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
3×expm1-log1p-u fma-def associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×fma-udef
1×+-commutative associate-+l+ sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
3 → 47
Calls
3 calls:
7.0ms
(+ (fma (- z) (* 4.0 (* z y)) (pow x 2)) (* 4.0 (* y t)))
12.0ms
(* 4.0 (* z y))
0.0ms
(fma (- z) (* 4.0 (* z y)) (pow x 2))

series244.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(+ (fma (- z) (* 4.0 (* z y)) (pow x 2)) (* 4.0 (* y t)))
30.0ms
(* 4.0 (* z y))
107.0ms
(fma (- z) (* 4.0 (* z y)) (pow x 2))

simplify904.0ms

Counts
56 → 56
Iterations
IterNodes
done5001
21077
1220
087

prune397.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
5.3b
(* (* 4.0 y) (* z (cbrt z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
14×add-cbrt-cube
9×cbrt-prod
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
29.0ms
(* (* 4.0 y) (* z (cbrt z)))

series975.0ms

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt z)
263.0ms
(cbrt z)
328.0ms
(cbrt z)
120.0ms
(* (* 4.0 y) (* z (cbrt z)))

simplify1.1s

Counts
75 → 75
Iterations
IterNodes
done5001
2805
1192
078

prune445.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes592.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s15675×body80valid