Details

Time bar (total: 8.2s)

sample28.0ms

Algorithm
intervals
Results
17.0ms327×body80valid

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done2001
111438
10920
9609
8462
7317
6187
5122
479
349
226
114
08

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) t)
6.9b
(fma z (/ (- y x) t) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/r*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
2 → 52
Calls
2 calls:
11.0ms
(/ (- y x) t)
0.0ms
(fma z (/ (- y x) t) x)

series83.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (- y x) t)
48.0ms
(fma z (/ (- y x) t) x)

simplify763.0ms

Counts
58 → 58
Iterations
IterNodes
done2002
31305
2445
1201
095

prune225.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ x (/ t z)))
1.7b
(fma y (/ z t) (- x (/ x (/ t z))))
3.9b
(/ x (/ t z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
204×add-sqr-sqrt
197×*-un-lft-identity
195×add-cube-cbrt
132×prod-diff
17×div-inv
13×associate-/r*
8×add-cbrt-cube add-exp-log
5×add-log-exp
4×associate-/r/
3×expm1-log1p-u pow1 cbrt-undiv fma-neg div-exp insert-posit16 log1p-expm1-u associate-/l* difference-of-squares
1×clear-num sub-neg frac-2neg flip3-- diff-log fma-udef flip-- distribute-lft-out--
Counts
3 → 238
Calls
3 calls:
18.0ms
(- x (/ x (/ t z)))
0.0ms
(fma y (/ z t) (- x (/ x (/ t z))))
12.0ms
(/ x (/ t z))

series111.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(- x (/ x (/ t z)))
52.0ms
(fma y (/ z t) (- x (/ x (/ t z))))
23.0ms
(/ x (/ t z))

simplify797.0ms

Counts
247 → 247
Iterations
IterNodes
done2001
11356
0504

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (/ x t) z))
1.7b
(fma y (/ z t) (- x (* (/ x t) z)))
7.0b
(* (/ x t) z)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l* add-cube-cbrt
10×times-frac
8×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
3×expm1-log1p-u fma-neg associate-*r* prod-diff insert-posit16 log1p-expm1-u
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv flip--
Counts
3 → 67
Calls
3 calls:
8.0ms
(- x (* (/ x t) z))
0.0ms
(fma y (/ z t) (- x (* (/ x t) z)))
21.0ms
(* (/ x t) z)

series143.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(- x (* (/ x t) z))
57.0ms
(fma y (/ z t) (- x (* (/ x t) z)))
34.0ms
(* (/ x t) z)

simplify598.0ms

Counts
76 → 76
Iterations
IterNodes
done2001
2935
1268
0120

prune278.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y x) z)
8.6b
(/ (* (- y x) z) t)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-cbrt-cube add-exp-log
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*l*
4×pow1 associate-*l/
3×associate-/r* times-frac associate-*r*
2×expm1-log1p-u cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u flip-- add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 51
Calls
2 calls:
31.0ms
(* (- y x) z)
25.0ms
(/ (* (- y x) z) t)

series102.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* (- y x) z)
64.0ms
(/ (* (- y x) z) t)

simplify465.0ms

Counts
57 → 57
Iterations
IterNodes
done2000
2760
1242
097

prune163.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes185.0ms

Accuracy

22.7% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.9b

bsearch131.0ms

Steps
ItersRangePoint
10
5.0612298869289944e-276
1.2677361323432111e-259
2.3137374841890364e-267
11
-7.003998033954764e-10
-1.3737879604406773e-29
-1.6809054761397501e-10

simplify5.0ms

Iterations
IterNodes
done22
122
019

end0.0ms

sample1.6s

Algorithm
intervals
Results
910.0ms10611×body80valid