Details

Time bar (total: 14.3s)

sample43.0ms

Algorithm
intervals
Results
17.0ms276×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
12513
25813
310513
417713
525813
639813
759513
884013
9106113
10118813
11122713
12123213
done123213

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
9.9b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite141.0ms

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:
72.0ms
(/ (+ (- t z) 1.0) a)
51.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series245.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (+ (- t z) 1.0) a)
200.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.2s

Counts
181 → 181
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02263548
16133316
219913192
done50003174

prune423.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
1.1b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite198.0ms

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:
58.0ms
(/ (- y z) (+ (- t z) 1.0))
135.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series203.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (- y z) (+ (- t z) 1.0))
138.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify2.0s

Counts
108 → 108
Iterations

Useful iterations: 3 (928.0ms)

IterNodesCost
01441551
13771501
210921391
337231387
done50001387

prune302.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
0.8b
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

rewrite550.0ms

Algorithm
rewrite-expression-head
Rules
525×times-frac
460×*-un-lft-identity
346×add-sqr-sqrt
287×cbrt-prod
265×associate-*r*
206×add-cube-cbrt
82×distribute-lft-out--
73×add-exp-log
60×distribute-lft-out
52×difference-of-squares
39×add-cbrt-cube
27×cbrt-undiv div-exp prod-exp cbrt-unprod
13×associate-*l*
12×cbrt-div unswap-sqr
9×associate-/r/
7×div-inv
6×pow1 flip3-+ flip-+
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 365
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
490.0ms
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

series978.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(cbrt a)
249.0ms
(cbrt a)
268.0ms
(cbrt a)
217.0ms
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

simplify1.5s

Counts
377 → 377
Iterations

Useful iterations: done (1.4s)

IterNodesCost
055113040
1177812146
done500011166

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ a (+ (- t z) 1.0))
9.3b
(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
31×times-frac
29×add-sqr-sqrt
22×add-cube-cbrt
21×associate-*r*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
8×distribute-lft-out--
5×associate-*l* associate-/r*
4×pow1 associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times flip3-- flip3-+ div-exp associate-*l/ prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative difference-of-squares
Counts
2 → 83
Calls
2 calls:
53.0ms
(/ a (+ (- t z) 1.0))
134.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ a (+ (- t z) 1.0))
105.0ms
(* (- y z) (/ a (+ (- t z) 1.0)))

simplify1.3s

Counts
89 → 89
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01351169
13391105
212621005
done50011001

prune270.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11413
done1413

end0.0ms

sample1.2s

Algorithm
intervals
Results
537.0ms8460×body80valid