Details

Time bar (total: 23.0s)

sample60.0ms

Algorithm
intervals
Results
27.0ms273×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5001
91738
8588
7279
6203
5170
4125
375
243
124
014

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma z (- b y) y)
0.0b
(* z (- t a))
0.3b
(fma y x (* z (- t a)))
21.6b
(/ (fma y x (* z (- t a))) (fma z (- b y) y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
28×*-un-lft-identity
26×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×times-frac
8×add-cbrt-cube add-exp-log
6×pow1
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* associate-*l* associate-/l*
2×sub-neg associate-*r/ fma-udef
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 95
Calls
4 calls:
0.0ms
(fma z (- b y) y)
32.0ms
(* z (- t a))
0.0ms
(fma y x (* z (- t a)))
7.0ms
(/ (fma y x (* z (- t a))) (fma z (- b y) y))

series812.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(fma z (- b y) y)
62.0ms
(* z (- t a))
83.0ms
(fma y x (* z (- t a)))
625.0ms
(/ (fma y x (* z (- t a))) (fma z (- b y) y))

simplify1.4s

Counts
107 → 107
Iterations
IterNodes
done5001
21141
1353
0172

prune683.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 21.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.3b
(fma y x (* z (- t a)))
0.3b
(/ 1 (fma z (- b y) y))
21.7b
(* (fma y x (* z (- t a))) (/ 1 (fma z (- b y) y)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
37×*-un-lft-identity
34×add-cube-cbrt
20×times-frac
19×add-exp-log
18×associate-*r* prod-diff
13×add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
9×pow1
6×associate-*l*
5×prod-exp
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp unswap-sqr
3×associate-/r* associate-*r/ cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp sub-neg 1-exp pow-prod-down *-commutative div-inv
1×clear-num frac-2neg flip3-- un-div-inv fma-udef pow-flip flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 127
Calls
4 calls:
29.0ms
(* z (- t a))
7.0ms
(fma y x (* z (- t a)))
6.0ms
(/ 1 (fma z (- b y) y))
19.0ms
(* (fma y x (* z (- t a))) (/ 1 (fma z (- b y) y)))

series808.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* z (- t a))
68.0ms
(fma y x (* z (- t a)))
84.0ms
(/ 1 (fma z (- b y) y))
609.0ms
(* (fma y x (* z (- t a))) (/ 1 (fma z (- b y) y)))

simplify1.5s

Counts
139 → 139
Iterations
IterNodes
done5001
22038
1442
0201

prune944.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 21.6b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.3b
(fma y x (* z (- t a)))
0.4b
(/ 1 (/ (fma z (- b y) y) (fma y x (* z (- t a)))))
21.6b
(/ (fma z (- b y) y) (fma y x (* z (- t a))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
72×add-sqr-sqrt
70×*-un-lft-identity
68×add-cube-cbrt
19×add-exp-log
18×prod-diff
16×associate-/r*
13×add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
8×div-exp
7×pow1
6×div-inv associate-/l*
5×associate-*r*
4×expm1-log1p-u cbrt-undiv log1p-expm1-u add-log-exp
3×associate-*l*
2×rec-exp clear-num sub-neg frac-2neg 1-exp associate-*r/
1×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod fma-udef pow-flip flip-- distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 163
Calls
4 calls:
27.0ms
(* z (- t a))
0.0ms
(fma y x (* z (- t a)))
13.0ms
(/ 1 (/ (fma z (- b y) y) (fma y x (* z (- t a)))))
13.0ms
(/ (fma z (- b y) y) (fma y x (* z (- t a))))

series853.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* z (- t a))
76.0ms
(fma y x (* z (- t a)))
597.0ms
(/ 1 (/ (fma z (- b y) y) (fma y x (* z (- t a)))))
134.0ms
(/ (fma z (- b y) y) (fma y x (* z (- t a))))

simplify1.6s

Counts
175 → 175
Iterations
IterNodes
done5000
22619
1602
0265

prune1.1s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 12.0b

localize56.0ms

Local error

Found 4 expressions with local error:

10.5b
(* (/ (* (cbrt (fma y x (* z (- t a)))) (cbrt (fma y x (* z (- t a))))) 1) (/ (cbrt (fma y x (* z (- t a)))) (fma z (- b y) y)))
16.7b
(cbrt (fma y x (* z (- t a))))
16.7b
(cbrt (fma y x (* z (- t a))))
16.7b
(cbrt (fma y x (* z (- t a))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
37×add-exp-log
33×times-frac
25×*-un-lft-identity
22×associate-*r* add-cube-cbrt
21×cbrt-prod
18×add-cbrt-cube
14×prod-exp
13×div-exp
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv associate-*l*
6×pow1
4×expm1-log1p-u 1-exp log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 107
Calls
4 calls:
39.0ms
(* (/ (* (cbrt (fma y x (* z (- t a)))) (cbrt (fma y x (* z (- t a))))) 1) (/ (cbrt (fma y x (* z (- t a)))) (fma z (- b y) y)))
1.0ms
(cbrt (fma y x (* z (- t a))))
1.0ms
(cbrt (fma y x (* z (- t a))))
1.0ms
(cbrt (fma y x (* z (- t a))))

series1.4s

Counts
4 → 12
Calls
4 calls:
656.0ms
(* (/ (* (cbrt (fma y x (* z (- t a)))) (cbrt (fma y x (* z (- t a))))) 1) (/ (cbrt (fma y x (* z (- t a)))) (fma z (- b y) y)))
275.0ms
(cbrt (fma y x (* z (- t a))))
252.0ms
(cbrt (fma y x (* z (- t a))))
236.0ms
(cbrt (fma y x (* z (- t a))))

simplify4.8s

Counts
119 → 119
Iterations
IterNodes
done5000
24770
1588
0183

prune1.1s

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 12.0b

regimes1.1s

Accuracy

17% (10.2b remaining)

Error of 20.9b against oracle of 10.7b and baseline of 23.0b

bsearch116.0ms

Steps
ItersRangePoint
11
3.858932780189445e+143
7.974046829930407e+167
1.351133986214442e+146

simplify3.0ms

Iterations
IterNodes
done19
119
018

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s8421×body80valid