Details

Time bar (total: 12.2s)

sample42.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify1.0s

Counts
1 → 1
Iterations
IterNodes
done5001
51678
4360
3148
262
126
013

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.8b

localize20.0ms

Local error

Found 3 expressions with local error:

0.8b
(fma (- y) t (* (* z 2.0) z))
1.4b
(fma (/ (* z 2.0) (fma (- y) t (* (* z 2.0) z))) (- y) x)
17.7b
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×add-cbrt-cube add-exp-log
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×expm1-log1p-u pow1 associate-/r* times-frac log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp fma-udef
1×clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
Counts
3 → 43
Calls
3 calls:
0.0ms
(fma (- y) t (* (* z 2.0) z))
0.0ms
(fma (/ (* z 2.0) (fma (- y) t (* (* z 2.0) z))) (- y) x)
7.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(fma (- y) t (* (* z 2.0) z))
123.0ms
(fma (/ (* z 2.0) (fma (- y) t (* (* z 2.0) z))) (- y) x)
61.0ms
(/ (* z 2.0) (fma (- y) t (* (* z 2.0) z)))

simplify880.0ms

Counts
52 → 52
Iterations
IterNodes
done5001
2848
1167
076

prune382.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0)))
0.8b
(fma (- y) t (* (* z 2.0) z))
1.4b
(fma (/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))) (- y) x)
17.6b
(/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
30×add-exp-log
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×add-cbrt-cube
14×div-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
5×pow1
4×expm1-log1p-u prod-exp log1p-expm1-u add-log-exp
3×rec-exp 1-exp
2×clear-num frac-2neg cbrt-unprod fma-udef
1×associate-/r/ pow-flip inv-pow
Counts
4 → 101
Calls
4 calls:
12.0ms
(/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0)))
0.0ms
(fma (- y) t (* (* z 2.0) z))
0.0ms
(fma (/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))) (- y) x)
6.0ms
(/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))

series436.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0)))
83.0ms
(fma (- y) t (* (* z 2.0) z))
123.0ms
(fma (/ 1 (/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))) (- y) x)
140.0ms
(/ (fma (- y) t (* (* z 2.0) z)) (* z 2.0))

simplify1.7s

Counts
113 → 113
Iterations
IterNodes
done5000
21650
1358
0153

prune669.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.6b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 z) (* 0.5 (/ (* t y) z)))
0.3b
(/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z))))
1.4b
(fma (/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z)))) (- y) x)
5.9b
(/ (* t y) z)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×add-exp-log
12×times-frac
11×add-cbrt-cube
6×associate-/r* add-log-exp
5×pow1
4×expm1-log1p-u div-exp log1p-expm1-u associate-/l*
3×cbrt-undiv
2×clear-num frac-2neg flip3-- associate-/r/ div-inv flip--
1×rec-exp sub-neg fma-neg diff-log 1-exp prod-diff prod-exp cbrt-unprod fma-udef pow-flip inv-pow
Counts
4 → 84
Calls
4 calls:
7.0ms
(- (* 1.0 z) (* 0.5 (/ (* t y) z)))
15.0ms
(/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z))))
0.0ms
(fma (/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z)))) (- y) x)
14.0ms
(/ (* t y) z)

series209.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (* 1.0 z) (* 0.5 (/ (* t y) z)))
41.0ms
(/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z))))
75.0ms
(fma (/ 1 (- (* 1.0 z) (* 0.5 (/ (* t y) z)))) (- y) x)
31.0ms
(/ (* t y) z)

simplify1.3s

Counts
96 → 96
Iterations
IterNodes
done5000
21512
1327
0140

prune562.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 z) (* 0.5 (* t (/ y z))))
0.3b
(/ 1 (- (* 1.0 z) (* 0.5 (* t (/ y z)))))
1.4b
(fma (/ 1 (- (* 1.0 z) (* 0.5 (* t (/ y z))))) (- y) x)
6.2b
(* t (/ y z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
19×times-frac
13×associate-*r* add-exp-log
11×add-cbrt-cube
7×pow1
6×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-/r* div-exp associate-*l* associate-/l*
2×cbrt-undiv flip3-- prod-exp associate-/r/ cbrt-unprod div-inv flip-- unswap-sqr
1×rec-exp clear-num sub-neg frac-2neg fma-neg diff-log 1-exp prod-diff pow-prod-down associate-*r/ *-commutative fma-udef pow-flip inv-pow
Counts
4 → 95
Calls
4 calls:
13.0ms
(- (* 1.0 z) (* 0.5 (* t (/ y z))))
12.0ms
(/ 1 (- (* 1.0 z) (* 0.5 (* t (/ y z)))))
0.0ms
(fma (/ 1 (- (* 1.0 z) (* 0.5 (* t (/ y z))))) (- y) x)
14.0ms
(* t (/ y z))

series266.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (* 1.0 z) (* 0.5 (* t (/ y z))))
63.0ms
(/ 1 (- (* 1.0 z) (* 0.5 (* t (/ y z)))))
105.0ms
(fma (/ 1 (- (* 1.0 z) (* 0.5 (* t (/ y z))))) (- y) x)
36.0ms
(* t (/ y z))

simplify1.3s

Counts
107 → 107
Iterations
IterNodes
done5001
21575
1396
0162

prune827.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

regimes555.0ms

Accuracy

-46% (2.5b remaining)

Error of 3.1b against oracle of 0.5b and baseline of 2.3b

bsearch2.0ms

simplify5.0ms

Iterations
IterNodes
done36
136
026

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s8000×body80valid