Details

Time bar (total: 2.2s)

sample22.0ms

Algorithm
intervals
Results
8.0ms346×body80valid

simplify106.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0144
1254
2483
3963
41533
52033
62473
74013
86803
911333
1018663
1132913
1247453
1350013
done50013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

2.2b
(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y t) (- z x) x)

series33.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(fma (/ y t) (- z x) x)

simplify40.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
04069
19362
227053
3130053
4500153
done500153

prune30.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y t) (- z x) x))
2.2b
(fma (/ y t) (- z x) x)
2.2b
(fma (/ y t) (- z x) x)
2.2b
(fma (/ y t) (- z x) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (/ y t) (- z x) x))
0.0ms
(fma (/ y t) (- z x) x)
0.0ms
(fma (/ y t) (- z x) x)
0.0ms
(fma (/ y t) (- z x) x)

series285.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt (fma (/ y t) (- z x) x))
31.0ms
(fma (/ y t) (- z x) x)
30.0ms
(fma (/ y t) (- z x) x)
34.0ms
(fma (/ y t) (- z x) x)

simplify34.0ms

Counts
55 → 55
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0116320
1284290
21044260
35001255
done5001255

prune140.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

2.2b
(fma (/ y t) (- z x) x)
2.2b
(fma (/ y t) (- z x) x)
2.2b
(fma (/ y t) (- z x) x)
2.2b
(fma (/ y t) (- z x) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
4 → 40
Calls
4 calls:
0.0ms
(fma (/ y t) (- z x) x)
0.0ms
(fma (/ y t) (- z x) x)
0.0ms
(fma (/ y t) (- z x) x)
0.0ms
(fma (/ y t) (- z x) x)

series122.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(fma (/ y t) (- z x) x)
30.0ms
(fma (/ y t) (- z x) x)
32.0ms
(fma (/ y t) (- z x) x)
30.0ms
(fma (/ y t) (- z x) x)

simplify40.0ms

Counts
52 → 52
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
040276
193248
2270212
31300212
45001212
done5001212

prune158.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
6.6b
(/ (* y (- z x)) t)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u fma-def times-frac associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 88
Calls
3 calls:
22.0ms
(* y (- z x))
11.0ms
(+ x (/ (* y (- z x)) t))
20.0ms
(/ (* y (- z x)) t)

series125.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* y (- z x))
38.0ms
(+ x (/ (* y (- z x)) t))
51.0ms
(/ (* y (- z x)) t)

simplify49.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0377600
11715428
25003420
done5003420

prune152.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes135.0ms

Accuracy

44.2% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02219
12219
done2219

end0.0ms

sample609.0ms

Algorithm
intervals
Results
250.0ms10583×body80valid