Details

Time bar (total: 19.3s)

sample41.0ms

Algorithm
intervals
Results
14.0ms334×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 3 (13.0ms)

IterNodesCost
099
1159
2269
3498
41008
51748
62568
73388
85998
911518
1034568
done50008

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

1.1b
(fma (/ y a) (- 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 a) (- z t) x)

series49.0ms

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

simplify1.8s

Counts
13 → 13
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
024154
141154
294138
3282123
42029123
done5002123

prune102.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- z t) (/ a y)) x)
5.4b
(/ (- z t) (/ a y))

rewrite170.0ms

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:
111.0ms
(+ (/ (- z t) (/ a y)) x)
41.0ms
(/ (- z t) (/ a y))

series115.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ (/ (- z t) (/ a y)) x)
62.0ms
(/ (- z t) (/ a y))

simplify1.2s

Counts
194 → 194
Iterations

Useful iterations: 2 (410.0ms)

IterNodesCost
02241920
16751808
230821697
done50011697

prune889.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ z (/ a y)) (- (/ t (/ a y)) x))
0.0b
(- (/ t (/ a y)) x)
3.8b
(/ z (/ a y))
4.3b
(/ t (/ a y))

rewrite462.0ms

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:
246.0ms
(- (/ z (/ a y)) (- (/ t (/ a y)) x))
87.0ms
(- (/ t (/ a y)) x)
10.0ms
(/ z (/ a y))
16.0ms
(/ t (/ a y))

series160.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (/ z (/ a y)) (- (/ t (/ a y)) x))
45.0ms
(- (/ t (/ a y)) x)
34.0ms
(/ z (/ a y))
28.0ms
(/ t (/ a y))

simplify1.2s

Counts
859 → 859
Iterations

Useful iterations: done (1.2s)

IterNodesCost
088433337
1218727405
done500023417

prune4.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

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:
15.0ms
(+ x (/ (* y (- z t)) a))
26.0ms
(* y (- z t))
34.0ms
(/ (* y (- z t)) a)

series194.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(+ x (/ (* y (- z t)) a))
63.0ms
(* y (- z t))
63.0ms
(/ (* y (- z t)) a)

simplify1.3s

Counts
97 → 97
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01701262
14361061
21787905
done5000859

prune445.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes730.0ms

Accuracy

77.2% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.3b

bsearch3.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03269
13569
done3569

end0.0ms

sample1.5s

Algorithm
intervals
Results
657.0ms10599×body80valid