Details

Time bar (total: 18.7s)

sample47.0ms

Algorithm
intervals
Results
23.0ms265×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01317
12317
23517
36017
410317
524017
668317
7269817
done500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.0b
(- (* t z) x)
0.0b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.6b
(/ (- (* y z) x) (- (* t z) x))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
4×pow1 flip3-- associate-/r/ flip-- associate-/l/
3×div-sub
2×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
1×associate-+r-
Counts
4 → 97
Calls
4 calls:
8.0ms
(- (* y z) x)
8.0ms
(- (* t z) x)
201.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
36.0ms
(/ (- (* y z) x) (- (* t z) x))

series321.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (* y z) x)
48.0ms
(- (* t z) x)
177.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
69.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify991.0ms

Counts
109 → 109
Iterations

Useful iterations: done (982.0ms)

IterNodesCost
01591974
14111922
217491794
done50011790

prune486.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* t z) x)
0.0b
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.5b
(/ 1 (- (* t z) x))
8.6b
(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
36×add-sqr-sqrt
32×times-frac
29×add-cube-cbrt
19×add-exp-log
15×associate-*r*
13×add-cbrt-cube
7×pow1 associate-/r*
6×associate-/r/ associate-/l* add-log-exp
5×flip3-- div-exp flip--
4×prod-exp distribute-lft-out
3×cbrt-undiv associate-*l* div-inv unswap-sqr
2×frac-times rec-exp frac-2neg flip3-+ 1-exp associate-*l/ clear-num cbrt-unprod flip-+ associate-/l/
1×sub-neg pow-flip diff-log associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 122
Calls
4 calls:
14.0ms
(- (* t z) x)
65.0ms
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
33.0ms
(/ 1 (- (* t z) x))
73.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

series359.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* t z) x)
180.0ms
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
38.0ms
(/ 1 (- (* t z) x))
91.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify3.5s

Counts
134 → 134
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01902381
14952242
233061907
done50011905

prune488.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* t z) x)
0.0b
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
0.2b
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
8.5b
(/ (- (* t z) x) (- (* y z) x))

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
110×times-frac
94×*-un-lft-identity
67×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
19×add-exp-log
16×distribute-lft-out
13×associate-/r/ add-cbrt-cube
12×div-inv
11×associate-/l*
9×div-exp
7×flip3-- flip--
6×add-log-exp
5×pow1 cbrt-undiv
4×associate-/l/
3×frac-2neg clear-num
2×rec-exp flip3-+ 1-exp flip-+
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
4 → 173
Calls
4 calls:
8.0ms
(- (* t z) x)
192.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
40.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
30.0ms
(/ (- (* t z) x) (- (* y z) x))

series498.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* t z) x)
245.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
136.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
71.0ms
(/ (- (* t z) x) (- (* y z) x))

simplify2.3s

Counts
185 → 185
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02614118
16953838
240713477
done50003473

prune470.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* t z) x)
0.0b
(/ (+ x (/ 1 (/ (* 1 (- (* t z) x)) (- (* y z) x)))) (+ x 1.0))
0.2b
(/ 1 (/ (* 1 (- (* t z) x)) (- (* y z) x)))
8.5b
(/ (* 1 (- (* t z) x)) (- (* y z) x))

rewrite284.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity times-frac
41×add-exp-log
35×add-sqr-sqrt add-cube-cbrt
21×div-exp
20×add-cbrt-cube
16×associate-/r* distribute-lft-out
13×associate-/r/
12×div-inv
9×associate-/l*
8×cbrt-undiv 1-exp prod-exp
7×flip3-- flip--
6×add-log-exp
5×pow1
4×rec-exp associate-/l/
3×frac-2neg clear-num
2×flip3-+ associate-*r/ cbrt-unprod flip-+
1×sub-neg pow-flip diff-log inv-pow
Counts
4 → 150
Calls
4 calls:
8.0ms
(- (* t z) x)
146.0ms
(/ (+ x (/ 1 (/ (* 1 (- (* t z) x)) (- (* y z) x)))) (+ x 1.0))
53.0ms
(/ 1 (/ (* 1 (- (* t z) x)) (- (* y z) x)))
71.0ms
(/ (* 1 (- (* t z) x)) (- (* y z) x))

series489.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- (* t z) x)
219.0ms
(/ (+ x (/ 1 (/ (* 1 (- (* t z) x)) (- (* y z) x)))) (+ x 1.0))
143.0ms
(/ 1 (/ (* 1 (- (* t z) x)) (- (* y z) x)))
97.0ms
(/ (* 1 (- (* t z) x)) (- (* y z) x))

simplify3.7s

Counts
162 → 162
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
02353649
16463089
248662670
done50002670

prune410.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.0b

regimes259.0ms

Accuracy

55% (2.9b remaining)

Error of 3.8b against oracle of 0.9b and baseline of 7.3b

bsearch82.0ms

Steps
ItersRangePoint
8
1.7038731211590558e+195
3.728863054294903e+199
2.589375506735583e+197
7
-2.8516996843404857e+82
-9.593165182687808e+80
-1.7839557737831185e+82

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02445
13537
done3537

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s8360×body80valid