Details

Time bar (total: 27.2s)

sample36.0ms

Algorithm
intervals
Results
14.0ms325×body80valid

simplify9.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
089
1149
2278
3628
41088
51578
61948
72378
82968
93838
104788
115378
125968
136418
146798
158088
169468
1712618
1817508
1923628
2025368
2125438
done25438

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize7.0ms

Local error

Found 1 expressions with local error:

1.6b
(fma (- y x) (/ z t) 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 x) (/ z t) x)

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(fma (- y x) (/ z t) x)

simplify1.5s

Counts
13 → 13
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
023154
141154
286138
3255123
41131123
done5002123

prune37.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- y x) (/ t z)) x)
8.0b
(/ (- y x) (/ t z))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
163×*-un-lft-identity
161×add-sqr-sqrt
107×add-cube-cbrt
70×fma-def
27×distribute-lft-out-- difference-of-squares
13×associate-/r* div-inv
7×add-exp-log add-cbrt-cube
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 188
Calls
2 calls:
121.0ms
(+ (/ (- y x) (/ t z)) x)
43.0ms
(/ (- y x) (/ t z))

series107.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (/ (- y x) (/ t z)) x)
64.0ms
(/ (- y x) (/ t z))

simplify1.6s

Counts
194 → 194
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02211932
16021810
218701704
done50011696

prune705.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y (/ t z)) (- (/ x (/ t z)) x))
0.0b
(- (/ x (/ t z)) x)
5.6b
(/ y (/ t z))
6.3b
(/ x (/ t z))

rewrite416.0ms

Algorithm
rewrite-expression-head
Rules
1278×times-frac
1159×add-sqr-sqrt
840×*-un-lft-identity
745×add-cube-cbrt
572×prod-diff
138×difference-of-squares
134×associate--r+
88×fma-neg
70×div-inv
48×distribute-lft-out--
26×associate-/r*
17×associate-/r/
14×add-exp-log add-cbrt-cube
11×add-log-exp
6×cbrt-undiv div-exp associate-/l*
4×pow1 expm1-log1p-u diff-log log1p-expm1-u
3×sub-neg flip3-- flip--
2×frac-2neg clear-num frac-sub
1×associate--r-
Counts
4 → 847
Calls
4 calls:
215.0ms
(- (/ y (/ t z)) (- (/ x (/ t z)) x))
77.0ms
(- (/ x (/ t z)) x)
24.0ms
(/ y (/ t z))
18.0ms
(/ x (/ t z))

series143.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (/ y (/ t z)) (- (/ x (/ t z)) x))
42.0ms
(- (/ x (/ t z)) x)
27.0ms
(/ y (/ t z))
37.0ms
(/ x (/ t z))

simplify3.1s

Counts
859 → 859
Iterations

Useful iterations: 2 (1.5s)

IterNodesCost
087833337
1197027081
2496523949
done500023949

prune3.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-cube-cbrt
7×fma-def
6×times-frac
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod div-inv associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 70
Calls
3 calls:
21.0ms
(+ (/ (* (- y x) z) t) x)
29.0ms
(* (- y x) z)
29.0ms
(/ (* (- y x) z) t)

series151.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ (/ (* (- y x) z) t) x)
44.0ms
(* (- y x) z)
53.0ms
(/ (* (- y x) z) t)

simplify4.4s

Counts
79 → 79
Iterations

Useful iterations: 3 (2.3s)

IterNodesCost
0116736
1294705
21017611
34924590
done5000590

prune251.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes194.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
done913

end0.0ms

sample1.3s

Algorithm
intervals
Results
490.0ms10621×body80valid