Details

Time bar (total: 16.7s)

sample47.0ms

Algorithm
intervals
Results
22.0ms263×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01317
12317
23517
36017
410317
524017
668317
7269817
done500117

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* y z) x)
0.0b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.3b
(/ (- (* y z) x) (- (* t z) x))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
25×times-frac
21×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
7×add-exp-log associate-/r* add-cbrt-cube associate-/l*
5×add-log-exp
4×associate-/r/ associate-/l/
3×pow1 flip3-- div-sub flip--
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×associate-+r- sub-neg diff-log
Counts
3 → 85
Calls
3 calls:
14.0ms
(- (* y z) x)
193.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
39.0ms
(/ (- (* y z) x) (- (* t z) x))

series307.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- (* y z) x)
186.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
81.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify1.1s

Counts
94 → 94
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01521846
13961797
217751679
done50011675

prune327.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.0b
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
0.3b
(/ 1 (- (* t z) x))
11.9b
(* (- (* y z) x) (/ 1 (- (* t z) x)))

rewrite229.0ms

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:
17.0ms
(- (* y z) x)
41.0ms
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
33.0ms
(/ 1 (- (* t z) x))
131.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

series415.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* y z) x)
229.0ms
(/ (+ x (* (- (* y z) x) (/ 1 (- (* t z) x)))) (+ x 1.0))
48.0ms
(/ 1 (- (* t z) x))
96.0ms
(* (- (* y z) x) (/ 1 (- (* t z) x)))

simplify3.8s

Counts
134 → 134
Iterations

Useful iterations: done (3.8s)

IterNodesCost
01892381
14862242
230571911
done50011903

prune453.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.0b
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
0.3b
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
12.3b
(/ (- (* t z) x) (- (* y z) x))

rewrite286.0ms

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:
14.0ms
(- (* y z) x)
184.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
36.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
39.0ms
(/ (- (* t z) x) (- (* y z) x))

series488.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* y z) x)
207.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
137.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
107.0ms
(/ (- (* t z) x) (- (* y z) x))

simplify2.0s

Counts
185 → 185
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02604118
16843838
237713630
done50013471

prune510.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.1b
(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
0.1b
(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
12.3b
(/ (- (* y z) x) (- (* t z) x))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
165×*-un-lft-identity
155×times-frac
81×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
29×associate-/r*
19×add-exp-log
13×associate-/r/ add-cbrt-cube
10×associate-/l*
9×div-exp
7×div-inv
6×flip3-+ flip-+ add-log-exp
5×pow1 cbrt-undiv
4×associate-/l/
3×flip3-- frac-2neg clear-num flip--
2×rec-exp 1-exp
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
4 → 196
Calls
4 calls:
9.0ms
(- (* y z) x)
95.0ms
(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
134.0ms
(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
43.0ms
(/ (- (* y z) x) (- (* t z) x))

series430.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- (* y z) x)
178.0ms
(/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x))))
150.0ms
(/ 1 (/ (+ x 1.0) (+ x (/ (- (* y z) x) (- (* t z) x)))))
67.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify1.9s

Counts
208 → 208
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02625538
16975077
238584808
done50014806

prune435.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.1b

regimes220.0ms

Accuracy

64.2% (2.2b remaining)

Error of 3.1b against oracle of 0.9b and baseline of 7.1b

bsearch146.0ms

Steps
ItersRangePoint
9
8.064110736065208e+121
2.2375643342819422e+131
1.7780304371796786e+125
9
-3.900166643403187e+129
-2.0990691172906316e+124
-4.127986421304602e+128

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02445
13537
done3537

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s8341×body80valid