Details

Time bar (total: 4.1s)

sample23.0ms

Algorithm
intervals
Results
8.0ms270×body80valid

simplify72.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1586
21076
31886
43646
57226
610676
714526
819636
921436
1021456
1121456
done21456

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
10.6b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite130.0ms

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*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/l/
pow1 frac-2neg div-sub clear-num add-log-exp
associate-+l- flip3-- flip3-+ associate-/r/ flip-- flip-+
Counts
2 → 175
Calls
2 calls:
65.0ms
(/ (+ (- t z) 1.0) a)
53.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series163.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (+ (- t z) 1.0) a)
128.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify63.0ms

Counts
181 → 181
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06291758
124231698
250031697
done50031697

prune350.0ms

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

rewrite143.0ms

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
add-exp-log add-cbrt-cube
associate-/r* associate-/l*
pow1 associate-/r/
associate-*r*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 102
Calls
2 calls:
45.0ms
(/ (- y z) (+ (- t z) 1.0))
92.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series179.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- y z) (+ (- t z) 1.0))
129.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify38.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0377755
11255699
25002697
done5002697

prune203.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
33×add-sqr-sqrt
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
14×distribute-lft-out
13×prod-exp
11×pow1
10×associate-*l/
distribute-lft-out--
cbrt-unprod
div-exp associate-*l*
associate-/r*
frac-times flip3-- pow-prod-down associate-/r/ flip--
cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
flip3-+ associate-*r/ un-div-inv *-commutative flip-+ div-inv
pow-flip frac-2neg clear-num inv-pow difference-of-squares
Counts
3 → 119
Calls
3 calls:
36.0ms
(/ 1 (+ (- t z) 1.0))
92.0ms
(* (- y z) (/ 1 (+ (- t z) 1.0)))
112.0ms
(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

series218.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (+ (- t z) 1.0))
54.0ms
(* (- y z) (/ 1 (+ (- t z) 1.0)))
127.0ms
(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

simplify53.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0451795
12067655
25001613
done5001613

prune230.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
1.2b
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite181.0ms

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-+
cbrt-undiv
div-sub associate-/l/
pow1 rec-exp frac-2neg 1-exp clear-num add-log-exp
flip3-- flip--
Counts
2 → 524
Calls
2 calls:
46.0ms
(/ (- y z) (+ (- t z) 1.0))
80.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series185.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- y z) (+ (- t z) 1.0))
131.0ms
(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify94.0ms

Counts
530 → 530
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
018297402
150016883
done50016883

prune748.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197
1197
done197

end0.0ms

sample613.0ms

Algorithm
intervals
Results
256.0ms8502×body80valid
0.0msbody640valid
0.0msbody1280valid
0.0msbody320valid