Details

Time bar (total: 24.7s)

sample54.0ms

Algorithm
intervals
Results
21.0ms274×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
12513
25813
310513
425513
590813
6397713
done500013

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
9.7b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite252.0ms

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:
121.0ms
(/ (+ (- t z) 1.0) a)
112.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series281.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (+ (- t z) 1.0) a)
221.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify2.5s

Counts
181 → 181
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02263548
16973370
234723200
done50013192

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
0.9b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite266.0ms

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:
80.0ms
(/ (- y z) (+ (- t z) 1.0))
177.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series334.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(/ (- y z) (+ (- t z) 1.0))
228.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.2s

Counts
108 → 108
Iterations

Useful iterations: 2 (335.0ms)

IterNodesCost
01441551
13871501
216071391
done50021391

prune632.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ (- t z) 1.0))
0.2b
(* (- y z) (/ 1 (+ (- t z) 1.0)))
0.9b
(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

rewrite512.0ms

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:
71.0ms
(/ 1 (+ (- t z) 1.0))
185.0ms
(* (- y z) (/ 1 (+ (- t z) 1.0)))
245.0ms
(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

series376.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/ 1 (+ (- t z) 1.0))
90.0ms
(* (- y z) (/ 1 (+ (- t z) 1.0)))
225.0ms
(* (* (- y z) (/ 1 (+ (- t z) 1.0))) a)

simplify5.4s

Counts
128 → 128
Iterations

Useful iterations: done (5.4s)

IterNodesCost
01701735
14751543
235851258
done50001246

prune784.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
0.2b
(/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z)))
9.8b
(/ (/ (+ (- t z) 1.0) a) (- y z))

rewrite561.0ms

Algorithm
rewrite-expression-head
Rules
1183×times-frac
1051×*-un-lft-identity
641×add-sqr-sqrt
449×add-cube-cbrt
178×distribute-lft-out--
164×distribute-lft-out
109×associate-/r*
96×difference-of-squares
33×div-inv
31×add-exp-log
27×associate-/l*
19×div-exp add-cbrt-cube
11×associate-/r/
10×cbrt-undiv
flip3-- flip--
pow1
rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/ add-log-exp
associate-+l-
pow-flip flip3-+ flip-+ inv-pow
Counts
3 → 607
Calls
3 calls:
137.0ms
(/ (+ (- t z) 1.0) a)
141.0ms
(/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z)))
165.0ms
(/ (/ (+ (- t z) 1.0) a) (- y z))

series439.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ (+ (- t z) 1.0) a)
239.0ms
(/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z)))
140.0ms
(/ (/ (+ (- t z) 1.0) a) (- y z))

simplify1.4s

Counts
616 → 616
Iterations

Useful iterations: done (1.4s)

IterNodesCost
059715171
1172813485
done500012761

prune2.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes480.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11413
done1413

end0.0ms

sample1.6s

Algorithm
intervals
Results
656.0ms8469×body80valid
0.0msbody320valid
0.0msbody160valid