Details

Time bar (total: 11.1s)

sample33.0ms

Algorithm
intervals
Results
14.0ms268×body80valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01517
12617
23817
34717
44917
done4917

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize15.0ms

Local error

Found 3 expressions with local error:

4.1b
(/ (* y z) t)
5.9b
(/ (* y b) t)
11.5b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
26×times-frac
21×distribute-lft-out
18×add-sqr-sqrt add-cube-cbrt
15×add-exp-log add-cbrt-cube
11×associate-/r*
6×associate-/l*
5×cbrt-undiv div-exp
4×associate-/r/
3×pow1 frac-2neg flip3-+ clear-num flip-+ div-inv add-log-exp
2×frac-add prod-exp cbrt-unprod associate-/l/
Counts
3 → 89
Calls
3 calls:
10.0ms
(/ (* y z) t)
10.0ms
(/ (* y b) t)
80.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series220.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ (* y z) t)
32.0ms
(/ (* y b) t)
154.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.4s

Counts
98 → 98
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01711630
14541565
221851459
done50041447

prune392.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.7b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
4.1b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.1b
(/ (* y z) t)
11.5b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
43×times-frac
39×*-un-lft-identity
32×add-exp-log
31×add-cube-cbrt
25×add-cbrt-cube
22×associate-*r*
14×cbrt-prod
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-/r/
7×associate-*l*
6×pow1 frac-add associate-/r* unswap-sqr
5×flip3-+ flip-+ associate-/l*
4×div-inv distribute-lft-out add-log-exp
3×frac-times associate-*r/ associate-*l/
2×frac-2neg clear-num associate-/l/
1×pow1/3 pow-prod-down *-commutative
Counts
4 → 132
Calls
4 calls:
1.0ms
(cbrt t)
47.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
19.0ms
(/ (* y z) t)
96.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series470.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt t)
55.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
20.0ms
(/ (* y z) t)
198.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify557.0ms

Counts
144 → 144
Iterations

Useful iterations: done (553.0ms)

IterNodesCost
02832828
18472732
done50002498

prune544.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
3.1b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
4.1b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
11.5b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
65×times-frac
48×add-exp-log
44×associate-*r*
43×add-cube-cbrt *-un-lft-identity
34×add-cbrt-cube
25×cbrt-prod
16×prod-exp cbrt-unprod
15×cbrt-undiv div-exp
14×associate-*l*
12×unswap-sqr
8×pow1 associate-/r/
6×frac-add
5×flip3-+ flip-+ div-inv
4×frac-times associate-*r/ associate-*l/ add-log-exp
3×associate-/r* associate-/l*
2×pow-prod-down *-commutative associate-/l/
1×frac-2neg pow1/3 clear-num
Counts
4 → 166
Calls
4 calls:
1.0ms
(cbrt t)
63.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
53.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
60.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series690.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt t)
49.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
60.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
369.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify476.0ms

Counts
178 → 178
Iterations

Useful iterations: done (468.0ms)

IterNodesCost
03213861
110073729
done50003359

prune885.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 10.2b

localize29.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (* (/ y (* (cbrt t) (cbrt t))) b) (/ 1 (cbrt t)))
3.1b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
3.7b
(* (/ y (* (cbrt t) (cbrt t))) b)
11.5b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (* (/ y (* (cbrt t) (cbrt t))) b) (/ 1 (cbrt t)))))

rewrite240.0ms

Algorithm
rewrite-expression-head
Rules
96×add-exp-log
63×add-sqr-sqrt
59×times-frac
51×add-cbrt-cube
47×associate-*r*
44×prod-exp
43×add-cube-cbrt *-un-lft-identity
28×cbrt-unprod
26×div-exp
20×cbrt-prod
18×cbrt-undiv
15×associate-*l*
13×pow1
11×associate-*l/
10×associate-/r/
8×frac-add unswap-sqr
6×flip3-+ flip-+
5×pow-prod-down div-inv
4×frac-times rec-exp 1-exp associate-*r/ add-log-exp
3×associate-/r* un-div-inv *-commutative associate-/l*
2×associate-/l/
1×frac-2neg clear-num
Counts
4 → 187
Calls
4 calls:
95.0ms
(* (* (/ y (* (cbrt t) (cbrt t))) b) (/ 1 (cbrt t)))
42.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
32.0ms
(* (/ y (* (cbrt t) (cbrt t))) b)
61.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (* (/ y (* (cbrt t) (cbrt t))) b) (/ 1 (cbrt t)))))

series743.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(* (* (/ y (* (cbrt t) (cbrt t))) b) (/ 1 (cbrt t)))
65.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
216.0ms
(* (/ y (* (cbrt t) (cbrt t))) b)
388.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (* (/ y (* (cbrt t) (cbrt t))) b) (/ 1 (cbrt t)))))

simplify632.0ms

Counts
199 → 199
Iterations

Useful iterations: done (624.0ms)

IterNodesCost
03674522
111374264
done50013623

prune752.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 10.2b

regimes710.0ms

Accuracy

34% (2.9b remaining)

Error of 13.2b against oracle of 10.4b and baseline of 14.7b

bsearch136.0ms

Steps
ItersRangePoint
11
4.55069835955133e+33
3.405595546966237e+59
5.874860639243413e+48
6
-2.3155312872625025e+112
-4.5744811177557607e+111
-1.618150503152589e+112

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03187
14357
done4357

end0.0ms

sample1.6s

Algorithm
intervals
Results
983.0ms8305×body80valid