Details

Time bar (total: 57.9s)

sample56.0ms

Algorithm
intervals
Results
15.0ms274×body80valid

simplify8.9s

Counts
1 → 1
Iterations
IterNodes
done5000
224995
214713
204418
194136
183837
173514
163152
152742
142228
131882
121295
11753
10441
9341
8282
7255
6219
5152
495
358
237
121
010

prune48.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize41.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- z a))
1.0b
(fma (/ (- z t) (- z a)) y x)

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-cbrt-cube add-exp-log
2×expm1-log1p-u pow1 flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip-- add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp fma-udef div-inv
Counts
2 → 66
Calls
2 calls:
50.0ms
(/ (- z t) (- z a))
2.0ms
(fma (/ (- z t) (- z a)) y x)

series271.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(/ (- z t) (- z a))
180.0ms
(fma (/ (- z t) (- z a)) y x)

simplify3.9s

Counts
72 → 72
Iterations
IterNodes
done5004
32238
2655
1268
0115

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- z a))
0.0b
(/ z (- z a))
0.0b
(- (/ z (- z a)) (/ t (- z a)))
1.0b
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

rewrite436.0ms

Algorithm
rewrite-expression-head
Rules
713×*-un-lft-identity
703×add-sqr-sqrt
693×times-frac
441×prod-diff
413×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
8×add-cbrt-cube add-exp-log
6×associate-/l* add-log-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 585
Calls
4 calls:
18.0ms
(/ t (- z a))
29.0ms
(/ z (- z a))
220.0ms
(- (/ z (- z a)) (/ t (- z a)))
2.0ms
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

series682.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ t (- z a))
83.0ms
(/ z (- z a))
230.0ms
(- (/ z (- z a)) (/ t (- z a)))
289.0ms
(fma (- (/ z (- z a)) (/ t (- z a))) y x)

simplify6.2s

Counts
597 → 597
Iterations
IterNodes
done5005
23086
11282
0573

prune7.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- z a))
0.0b
(+ (* (- (/ z (- z a)) (/ t (- z a))) y) x)
0.0b
(- (/ z (- z a)) (/ t (- z a)))
2.3b
(* (- (/ z (- z a)) (/ t (- z a))) y)

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
725×*-un-lft-identity
707×add-sqr-sqrt
696×times-frac
441×prod-diff
407×add-cube-cbrt
157×distribute-lft-out--
145×difference-of-squares
96×associate-/r/
50×flip3-- flip--
48×div-inv
21×fma-neg
18×associate-*l*
8×add-cbrt-cube add-exp-log add-log-exp
6×pow1 distribute-rgt-out--
5×associate-/r*
4×expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u
3×associate-*r* associate-/l*
2×frac-sub sub-div
1×cbrt-undiv +-commutative clear-num sum-log sub-neg fma-def frac-2neg flip3-+ diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 589
Calls
4 calls:
16.0ms
(/ z (- z a))
308.0ms
(+ (* (- (/ z (- z a)) (/ t (- z a))) y) x)
239.0ms
(- (/ z (- z a)) (/ t (- z a)))
548.0ms
(* (- (/ z (- z a)) (/ t (- z a))) y)

series1.2s

Counts
4 → 12
Calls
4 calls:
106.0ms
(/ z (- z a))
271.0ms
(+ (* (- (/ z (- z a)) (/ t (- z a))) y) x)
220.0ms
(- (/ z (- z a)) (/ t (- z a)))
555.0ms
(* (- (/ z (- z a)) (/ t (- z a))) y)

simplify5.7s

Counts
601 → 601
Iterations
IterNodes
done5000
23333
11362
0604

prune7.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- z a))
0.0b
(- (/ z (- z a)) (* t (/ 1 (- z a))))
0.2b
(* t (/ 1 (- z a)))
1.0b
(fma (- (/ z (- z a)) (* t (/ 1 (- z a)))) y x)

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
69×*-un-lft-identity
62×times-frac
42×add-cube-cbrt
21×fma-neg associate-*r* prod-diff
15×add-exp-log
13×distribute-lft-out-- difference-of-squares
11×add-cbrt-cube
8×associate-/r/
6×pow1 add-log-exp
5×associate-/r* flip3-- div-inv flip--
4×expm1-log1p-u prod-exp insert-posit16 log1p-expm1-u
3×div-exp associate-*l* associate-*r/ un-div-inv associate-/l* unswap-sqr
2×cbrt-undiv frac-sub cbrt-unprod sub-div
1×rec-exp clear-num sub-neg frac-2neg distribute-rgt-out-- diff-log 1-exp pow-prod-down *-commutative fma-udef
Counts
4 → 160
Calls
4 calls:
17.0ms
(/ z (- z a))
128.0ms
(- (/ z (- z a)) (* t (/ 1 (- z a))))
45.0ms
(* t (/ 1 (- z a)))
1.0ms
(fma (- (/ z (- z a)) (* t (/ 1 (- z a)))) y x)

series580.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ z (- z a))
226.0ms
(- (/ z (- z a)) (* t (/ 1 (- z a))))
70.0ms
(* t (/ 1 (- z a)))
226.0ms
(fma (- (/ z (- z a)) (* t (/ 1 (- z a)))) y x)

simplify7.1s

Counts
172 → 172
Iterations
IterNodes
done5000
34687
21409
1508
0215

prune2.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.1s

Algorithm
intervals
Results
514.0ms8739×body80valid