Details

Time bar (total: 9.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms271×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
12513
25813
310513
419113
534213
656813
782913
8125013
9166913
10176313
done176313

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
9.1b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
236×*-un-lft-identity
200×times-frac
126×add-sqr-sqrt
86×add-cube-cbrt
44×distribute-lft-out
42×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 frac-2neg div-sub clear-num add-log-exp
1×associate-+l- flip3-- flip3-+ associate-/r/ flip-- flip-+
Counts
2 → 175
Calls
2 calls:
32.0ms
(/ (+ (- t z) 1.0) a)
29.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series151.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (+ (- t z) 1.0) a)
121.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify635.0ms

Counts
181 → 181
Iterations

Useful iterations: 2 (166.0ms)

IterNodesCost
02263548
16263316
222303192
done50013192

prune372.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
0.8b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
53×add-sqr-sqrt
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×associate-*r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 102
Calls
2 calls:
25.0ms
(/ (- y z) (+ (- t z) 1.0))
53.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series174.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- y z) (+ (- t z) 1.0))
122.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.9s

Counts
108 → 108
Iterations

Useful iterations: 3 (465.0ms)

IterNodesCost
01441551
13811501
211911391
347931387
done50001387

prune227.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) (- y z))
0.2b
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
0.8b
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
446×*-un-lft-identity
392×times-frac
253×add-sqr-sqrt
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out distribute-lft-out--
41×difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip-- associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×associate-+l- pow-flip flip3-+ div-sub pow-prod-down associate-*l/ *-commutative flip-+ inv-pow
Counts
3 → 326
Calls
3 calls:
38.0ms
(/ (+ (- t z) 1.0) (- y z))
27.0ms
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
79.0ms
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

series264.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(/ (+ (- t z) 1.0) (- y z))
90.0ms
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
115.0ms
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

simplify1.4s

Counts
335 → 335
Iterations

Useful iterations: 2 (297.0ms)

IterNodesCost
03356028
18455356
231414727
done50004727

prune572.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
1.0b
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
1066×times-frac
924×*-un-lft-identity
544×add-sqr-sqrt
392×add-cube-cbrt
152×distribute-lft-out distribute-lft-out--
76×difference-of-squares
48×div-inv
36×associate-/l*
31×associate-/r/
26×add-exp-log
18×associate-/r*
17×div-exp
16×add-cbrt-cube
15×flip3-+ flip-+
9×cbrt-undiv
3×div-sub associate-/l/
2×pow1 rec-exp frac-2neg 1-exp clear-num add-log-exp
1×flip3-- flip--
Counts
2 → 524
Calls
2 calls:
23.0ms
(/ (- y z) (+ (- t z) 1.0))
50.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series183.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- y z) (+ (- t z) 1.0))
128.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify606.0ms

Counts
530 → 530
Iterations

Useful iterations: done (585.0ms)

IterNodesCost
058714616
1184412986
done500112042

prune620.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01415
11815
done1815

end0.0ms

sample536.0ms

Algorithm
intervals
Results
287.0ms8493×body80valid
0.0ms1×body640valid