Details

Time bar (total: 17.7s)

sample53.0ms

Algorithm
intervals
Results
22.0ms326×body80valid

simplify152.0ms

Counts
1 → 1
Iterations
IterNodes
done123
9123
8120
7112
695
579
462
341
225
115
010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
3.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite480.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-cbrt-cube add-exp-log
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*l* associate-*r/ log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv clear-num frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
9.0ms
(/ t (- 1.0 z))
53.0ms
(- (/ y z) (/ t (- 1.0 z)))
261.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series212.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ t (- 1.0 z))
63.0ms
(- (/ y z) (/ t (- 1.0 z)))
101.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify2.2s

Counts
936 → 936
Iterations
IterNodes
done5002
12222
01009

prune4.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ y z) x) (* (/ t (- 1.0 z)) (- x)))
0.0b
(/ t (- 1.0 z))
1.9b
(* (/ t (- 1.0 z)) (- x))
6.3b
(* (/ y z) x)

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
48×*-un-lft-identity
41×times-frac
34×associate-*l* add-cube-cbrt
16×add-cbrt-cube add-exp-log
13×associate-*r*
8×pow1
7×distribute-lft-out-- difference-of-squares
6×add-log-exp
5×associate-/r*
4×expm1-log1p-u associate-*l/ prod-exp associate-/r/ cbrt-unprod log1p-expm1-u unswap-sqr
3×distribute-lft-neg-in cbrt-undiv distribute-rgt-neg-in div-exp distribute-rgt-neg-out div-inv associate-/l*
2×flip3-- pow-prod-down *-commutative flip--
1×+-commutative clear-num neg-mul-1 sum-log fma-def frac-2neg flip3-+ unsub-neg frac-add flip-+
Counts
4 → 140
Calls
4 calls:
12.0ms
(+ (* (/ y z) x) (* (/ t (- 1.0 z)) (- x)))
9.0ms
(/ t (- 1.0 z))
45.0ms
(* (/ t (- 1.0 z)) (- x))
23.0ms
(* (/ y z) x)

series230.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(+ (* (/ y z) x) (* (/ t (- 1.0 z)) (- x)))
63.0ms
(/ t (- 1.0 z))
56.0ms
(* (/ t (- 1.0 z)) (- x))
24.0ms
(* (/ y z) x)

simplify2.0s

Counts
152 → 152
Iterations
IterNodes
done5000
23654
1720
0257

prune927.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
3.6b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
69×*-un-lft-identity
68×times-frac
54×add-cube-cbrt
39×prod-diff
24×associate-*r*
19×add-exp-log
15×distribute-rgt-in distribute-lft-in
13×add-cbrt-cube fma-neg
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* div-inv add-log-exp
5×associate-/r* prod-exp
4×expm1-log1p-u flip3-- div-exp associate-/r/ frac-sub log1p-expm1-u flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative
1×clear-num frac-2neg diff-log pow-flip inv-pow
Counts
4 → 185
Calls
4 calls:
18.0ms
(/ 1 (- 1.0 z))
36.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
47.0ms
(* t (/ 1 (- 1.0 z)))
59.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series243.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ 1 (- 1.0 z))
65.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
62.0ms
(* t (/ 1 (- 1.0 z)))
74.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify1.9s

Counts
197 → 197
Iterations
IterNodes
done5001
22866
1703
0284

prune949.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.1b
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
3.6b
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
15×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×pow1 associate-/r*
4×distribute-lft-out-- difference-of-squares
3×expm1-log1p-u associate-*r* associate-*l* fma-udef log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×distribute-rgt-in cbrt-undiv clear-num frac-2neg distribute-lft-in flip3-- div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- unswap-sqr
Counts
3 → 71
Calls
3 calls:
16.0ms
(/ t (- 1.0 z))
1.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
11.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

series233.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ t (- 1.0 z))
78.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
101.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

simplify619.0ms

Counts
80 → 80
Iterations
IterNodes
done5001
21071
1324
0144

prune428.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes431.0ms

Accuracy

9.5% (4.5b remaining)

Error of 4.6b against oracle of 0.0b and baseline of 5.1b

bsearch118.0ms

Steps
ItersRangePoint
7
8.26320635354796e-39
3.0327699890564e-37
7.709782318648623e-38
8
-2.8287883511061813e-75
-6.09050216586637e-80
-2.227422004855874e-75

simplify7.0ms

Iterations
IterNodes
done49
349
244
136
023

end0.0ms

sample1.3s

Algorithm
intervals
Results
692.0ms10164×body80valid