Details

Time bar (total: 5.4s)

sample38.0ms

Algorithm
intervals
Results
15.0ms261×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01517
12617
23817
34617
44817
done4817

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.9b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
3.5b
(/ (* y z) t)
6.1b
(/ (* y b) t)
14.3b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite33.0ms

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:
5.0ms
(+ x (/ (* y z) t))
5.0ms
(/ (* y z) t)
5.0ms
(/ (* y b) t)
14.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ x (/ (* y z) t))
5.0ms
(/ (* y z) t)
8.0ms
(/ (* y b) t)
44.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify463.0ms

Counts
113 → 113
Iterations

Useful iterations: 2 (129.0ms)

IterNodesCost
01791803
14651721
216341599
done50001599

prune190.0ms

Filtered
72 candidates to 113 candidates (-56.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New10310113
Fresh000
Picked101
Done000
Total10410114

Merged error: 14.3b

Counts
114 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
3.5b
(/ (* y z) t)
4.5b
(/ y (/ t b))
14.3b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

rewrite49.0ms

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:
5.0ms
(+ x (/ (* y z) t))
5.0ms
(/ (* y z) t)
6.0ms
(/ y (/ t b))
26.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

series68.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ x (/ (* y z) t))
5.0ms
(/ (* y z) t)
6.0ms
(/ y (/ t b))
43.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

simplify569.0ms

Counts
162 → 162
Iterations

Useful iterations: 2 (187.0ms)

IterNodesCost
02832497
16832355
223932223
done50002223

prune208.0ms

Filtered
116 candidates to 162 candidates (-39.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1584162
Fresh279
Picked101
Done000
Total16111172

Merged error: 13.4b

Counts
172 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (/ z t)))
4.5b
(/ y (/ t b))
5.8b
(* y (/ z t))
14.3b
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
84×*-un-lft-identity
69×add-sqr-sqrt
64×add-cube-cbrt
18×associate-/r*
16×add-exp-log add-cbrt-cube
13×associate-*r*
12×distribute-lft-out
7×div-inv
6×pow1 associate-/l* add-log-exp
5×cbrt-undiv div-exp associate-/r/
4×flip3-+ flip-+
3×associate-*l*
2×frac-2neg frac-add prod-exp clear-num cbrt-unprod associate-/l/ unswap-sqr
1×+-commutative associate-*r/ pow-prod-down sum-log *-commutative
Counts
4 → 154
Calls
4 calls:
3.0ms
(+ x (* y (/ z t)))
6.0ms
(/ y (/ t b))
7.0ms
(* y (/ z t))
24.0ms
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

series69.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ x (* y (/ z t)))
6.0ms
(/ y (/ t b))
5.0ms
(* y (/ z t))
44.0ms
(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

simplify598.0ms

Counts
166 → 166
Iterations

Useful iterations: 2 (204.0ms)

IterNodesCost
03022433
17302287
225482155
done50012155

prune218.0ms

Filtered
127 candidates to 166 candidates (-30.7%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1633166
Fresh1910
Picked101
Done000
Total16512177

Merged error: 13.4b

Counts
177 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y z) t))
3.5b
(/ (* y z) t)
4.9b
(* (/ y t) b)
14.3b
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y t) b)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
28×add-sqr-sqrt
25×times-frac
23×add-cube-cbrt
16×add-exp-log add-cbrt-cube
13×associate-*l*
6×pow1 associate-/r* add-log-exp
5×distribute-lft-out associate-/l*
4×cbrt-undiv flip3-+ div-exp associate-/r/ flip-+
3×associate-*r* associate-*l/ prod-exp cbrt-unprod div-inv
2×frac-2neg frac-add clear-num associate-/l/ unswap-sqr
1×+-commutative pow-prod-down sum-log *-commutative
Counts
4 → 102
Calls
4 calls:
7.0ms
(+ x (/ (* y z) t))
5.0ms
(/ (* y z) t)
7.0ms
(* (/ y t) b)
12.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y t) b)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ x (/ (* y z) t))
5.0ms
(/ (* y z) t)
6.0ms
(* (/ y t) b)
44.0ms
(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y t) b)))

simplify490.0ms

Counts
114 → 114
Iterations

Useful iterations: 2 (151.0ms)

IterNodesCost
02021650
15171590
217701466
done50011466

prune113.0ms

Filtered
82 candidates to 114 candidates (-39.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1140114
Fresh01111
Picked011
Done000
Total11412126

Merged error: 13.4b

Counts
126 → 12

regimes843.0ms

Accuracy

51.4% (3.2b remaining)

Error of 12.9b against oracle of 9.6b and baseline of 16.2b

bsearch55.0ms

Steps
ItersRangePoint
10
2.6086084209980706e-07
14848.343200454
18.12786732335652
7
-7.926876298352759e+77
-9.48495009797703e+75
-9.665898643219971e+75

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03165
14547
done4547

end0.0ms

sample1.1s

Algorithm
intervals
Results
476.0ms8275×body80valid

Profiling

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