Details

Time bar (total: 40.5s)

sample90.0ms

Algorithm
intervals
Results
34.0ms274×body80valid

simplify164.0ms

Counts
1 → 1
Iterations
IterNodes
done47
547
445
341
235
126
015

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize67.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
3.1b
(/ (* y b) t)
4.9b
(/ (* y z) t)
10.5b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
26×times-frac
22×distribute-lft-out
19×add-sqr-sqrt add-cube-cbrt
16×add-cbrt-cube add-exp-log
11×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
3×clear-num frac-2neg div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 105
Calls
4 calls:
24.0ms
(+ x (/ (* y z) t))
24.0ms
(/ (* y b) t)
25.0ms
(/ (* y z) t)
117.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series486.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ x (/ (* y z) t))
49.0ms
(/ (* y b) t)
48.0ms
(/ (* y z) t)
312.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify3.3s

Counts
117 → 117
Iterations
IterNodes
done5001
21726
1480
0183

prune2.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.7b

localize95.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
3.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
4.9b
(/ (* y z) t)
10.5b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite252.0ms

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 associate-/r* frac-add unswap-sqr
5×flip3-+ flip-+ associate-/l*
4×insert-posit16 div-inv distribute-lft-out add-log-exp
3×frac-times associate-*l/ associate-*r/
2×clear-num frac-2neg associate-/l/
1×pow1/3 pow-prod-down *-commutative
Counts
4 → 136
Calls
4 calls:
3.0ms
(cbrt t)
91.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
25.0ms
(/ (* y z) t)
111.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series738.0ms

Counts
4 → 12
Calls
4 calls:
317.0ms
(cbrt t)
94.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
39.0ms
(/ (* y z) t)
288.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify5.2s

Counts
148 → 148
Iterations
IterNodes
done5027
23404
1844
0287

prune2.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.0b

localize188.0ms

Local error

Found 4 expressions with local error:

1.2b
(/ (* (/ y (cbrt t)) (* (cbrt b) (cbrt b))) (cbrt t))
1.7b
(* (/ y (cbrt t)) (* (cbrt b) (cbrt b)))
4.9b
(/ (* y z) t)
10.5b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ (* (/ y (cbrt t)) (* (cbrt b) (cbrt b))) (cbrt t)) (/ (cbrt b) (cbrt t)))))

rewrite314.0ms

Algorithm
rewrite-expression-head
Rules
41×times-frac add-exp-log
40×*-un-lft-identity
37×add-sqr-sqrt
32×add-cube-cbrt
24×add-cbrt-cube
22×associate-*l*
16×cbrt-prod
13×prod-exp cbrt-unprod
12×cbrt-undiv associate-/r* div-exp
9×pow1
8×associate-/r/
6×frac-add associate-/l*
5×flip3-+ flip-+
4×associate-*l/ insert-posit16 div-inv distribute-lft-out add-log-exp
3×clear-num frac-2neg pow-prod-down unswap-sqr associate-/l/
2×frac-times associate-*r/
1×associate-*r* *-commutative
Counts
4 → 145
Calls
4 calls:
81.0ms
(/ (* (/ y (cbrt t)) (* (cbrt b) (cbrt b))) (cbrt t))
71.0ms
(* (/ y (cbrt t)) (* (cbrt b) (cbrt b)))
24.0ms
(/ (* y z) t)
126.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ (* (/ y (cbrt t)) (* (cbrt b) (cbrt b))) (cbrt t)) (/ (cbrt b) (cbrt t)))))

series820.0ms

Counts
4 → 12
Calls
4 calls:
283.0ms
(/ (* (/ y (cbrt t)) (* (cbrt b) (cbrt b))) (cbrt t))
253.0ms
(* (/ y (cbrt t)) (* (cbrt b) (cbrt b)))
30.0ms
(/ (* y z) t)
253.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ (* (/ y (cbrt t)) (* (cbrt b) (cbrt b))) (cbrt t)) (/ (cbrt b) (cbrt t)))))

simplify4.1s

Counts
157 → 157
Iterations
IterNodes
done5010
22737
1840
0318

prune3.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 9.0b

localize120.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
3.3b
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
5.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
10.5b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
65×times-frac
48×add-exp-log
44×associate-*r*
43×*-un-lft-identity add-cube-cbrt
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-*l/ associate-*r/ insert-posit16 add-log-exp
3×associate-/r* associate-/l*
2×pow-prod-down *-commutative associate-/l/
1×clear-num frac-2neg pow1/3
Counts
4 → 170
Calls
4 calls:
2.0ms
(cbrt t)
95.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
88.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
122.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
342.0ms
(cbrt t)
103.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
88.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
655.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify6.9s

Counts
182 → 182
Iterations
IterNodes
done5005
24265
1996
0325

prune3.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.0b

regimes3.3s

Accuracy

32.7% (2.7b remaining)

Error of 13.0b against oracle of 10.3b and baseline of 14.3b

bsearch194.0ms

Steps
ItersRangePoint
9
6.579902534134689e-26
7.833996301943674e-21
1.2718892935784934e-21
8
-3.591311124353581e+18
-11403404315933134.0
-9.025020228721649e+17

simplify23.0ms

Iterations
IterNodes
done47
147
033

end0.0ms

sample1.5s

Algorithm
intervals
Results
721.0ms8280×body80valid