Details

Time bar (total: 13.9s)

sample51.0ms

Algorithm
intervals
Results
21.0ms276×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite182.0ms

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:
81.0ms
(/ (+ (- t z) 1.0) a)
76.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series209.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (+ (- t z) 1.0) a)
171.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.1s

Counts
181 → 181
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02263548
16133316
219913192
done50003174

prune468.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize22.0ms

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)

rewrite225.0ms

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:
75.0ms
(/ (- y z) (+ (- t z) 1.0))
143.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series278.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ (- y z) (+ (- t z) 1.0))
201.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.8s

Counts
108 → 108
Iterations

Useful iterations: 3 (785.0ms)

IterNodesCost
01441551
13771501
210921391
337231387
done50001387

prune332.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

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))))

rewrite513.0ms

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)
469.0ms
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

series980.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(cbrt a)
262.0ms
(cbrt a)
268.0ms
(cbrt a)
221.0ms
(* (/ (* (cbrt a) (cbrt a)) (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0)))) (/ (- y z) (/ (cbrt (+ (- t z) 1.0)) (cbrt a))))

simplify1.0s

Counts
377 → 377
Iterations

Useful iterations: done (1.0s)

IterNodesCost
055113040
1177812146
done500011166

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
31×times-frac
29×add-sqr-sqrt
22×add-cube-cbrt
21×associate-*l*
14×distribute-lft-out
9×add-exp-log add-cbrt-cube
8×distribute-lft-out--
5×associate-*r* associate-/r*
4×pow1 associate-/r/
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative difference-of-squares
Counts
2 → 87
Calls
2 calls:
42.0ms
(/ a (+ (- t z) 1.0))
136.0ms
(* (/ a (+ (- t z) 1.0)) (- y z))

series194.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ a (+ (- t z) 1.0))
147.0ms
(* (/ a (+ (- t z) 1.0)) (- y z))

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01551295
14091255
213771153
done50001135

prune299.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes166.0ms

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

sample1.4s

Algorithm
intervals
Results
443.0ms8460×body80valid