Details

Time bar (total: 8.6s)

sample25.0ms

Algorithm
intervals
Results
11.0ms261×body80valid

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12617
23817
34617
44817
done4817

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
4.3b
(/ (* y b) t)
7.1b
(/ (* y z) t)
13.1b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite49.0ms

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-exp-log add-cbrt-cube
11×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv div-exp
4×pow1 flip3-+ associate-/r/ flip-+
3×frac-2neg clear-num div-inv
2×frac-add prod-exp cbrt-unprod associate-/l/
1×+-commutative sum-log
Counts
4 → 101
Calls
4 calls:
6.0ms
(+ x (/ (* y z) t))
3.0ms
(/ (* y b) t)
3.0ms
(/ (* y z) t)
33.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series159.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ x (/ (* y z) t))
19.0ms
(/ (* y b) t)
17.0ms
(/ (* y z) t)
95.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify543.0ms

Counts
113 → 113
Iterations

Useful iterations: 2 (134.0ms)

IterNodesCost
01791803
14651721
217731599
done50001599

prune304.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
4.3b
(/ (* y b) t)
4.6b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
13.1b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
48×add-sqr-sqrt
46×times-frac
32×add-exp-log add-cube-cbrt
25×add-cbrt-cube
22×associate-*r*
14×cbrt-prod
12×distribute-lft-out
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-/r*
7×associate-*l*
6×pow1 unswap-sqr
4×associate-/r/ div-inv associate-/l* add-log-exp
3×flip3-+ flip-+
2×frac-2neg frac-add clear-num associate-/l/
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 132
Calls
4 calls:
0.0ms
(cbrt t)
3.0ms
(/ (* y b) t)
26.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
28.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

series510.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt t)
19.0ms
(/ (* y b) t)
49.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
269.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ (* y b) t)))

simplify1.0s

Counts
144 → 144
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02632807
17512708
233462076
done50012074

prune486.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
4.0b
(/ y (/ t b))
4.6b
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
13.1b
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
118×times-frac
92×*-un-lft-identity
88×add-sqr-sqrt
72×add-cube-cbrt
32×add-exp-log
25×add-cbrt-cube
22×associate-*r*
18×associate-/r*
14×cbrt-prod
12×distribute-lft-out
11×cbrt-undiv div-exp
8×prod-exp cbrt-unprod div-inv
7×associate-*l*
6×pow1 associate-/l* unswap-sqr
5×associate-/r/
4×add-log-exp
3×flip3-+ flip-+
2×frac-2neg frac-add clear-num associate-/l/
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 181
Calls
4 calls:
0.0ms
(cbrt t)
5.0ms
(/ y (/ t b))
25.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
55.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ y (/ t b))))

series505.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt t)
20.0ms
(/ y (/ t b))
49.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
265.0ms
(/ (+ x (* (/ y (* (cbrt t) (cbrt t))) (/ z (cbrt t)))) (+ (+ a 1.0) (/ y (/ t b))))

simplify1.2s

Counts
193 → 193
Iterations

Useful iterations: 2 (322.0ms)

IterNodesCost
03633501
19583342
242042680
done50002680

prune681.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 10.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ y (/ t z)))
4.3b
(/ (* y b) t)
5.1b
(/ y (/ t z))
13.1b
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity times-frac
59×add-sqr-sqrt add-cube-cbrt
22×distribute-lft-out
21×associate-/r*
16×add-exp-log add-cbrt-cube
8×associate-/l*
7×div-inv
6×cbrt-undiv div-exp add-log-exp
5×associate-/r/
4×pow1 flip3-+ flip-+
3×frac-2neg clear-num
2×frac-add associate-/l/
1×+-commutative prod-exp sum-log cbrt-unprod
Counts
4 → 150
Calls
4 calls:
19.0ms
(+ x (/ y (/ t z)))
3.0ms
(/ (* y b) t)
5.0ms
(/ y (/ t z))
73.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ x (/ y (/ t z)))
19.0ms
(/ (* y b) t)
18.0ms
(/ y (/ t z))
241.0ms
(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (/ (* y b) t)))

simplify720.0ms

Counts
162 → 162
Iterations

Useful iterations: 2 (184.0ms)

IterNodesCost
02782491
16702351
225992219
done50002219

prune434.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.7b

regimes487.0ms

Accuracy

55.3% (3.1b remaining)

Error of 12.2b against oracle of 9.1b and baseline of 16.1b

bsearch96.0ms

Steps
ItersRangePoint
5
3.208423007490159e+19
6.8600165602611446e+19
6.278881025257946e+19
9
-6.031111347935146e+36
-7.221055931686145e+31
-3.9332366958832453e+36

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03173
14250
done4250

end0.0ms

sample675.0ms

Algorithm
intervals
Results
376.0ms8291×body80valid