Details

Time bar (total: 9.9s)

sample38.0ms

Algorithm
intervals
Results
15.0ms335×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
25415
39315
414515
530015
679115
7264215
done500015

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 3.0) y)
0.2b
(/ y (* z 3.0))
7.1b
(/ t (* (* z 3.0) y))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
8×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×associate-*r* pow-prod-down add-log-exp
2×frac-2neg clear-num associate-/r* div-inv
1×associate-*l* *-commutative
Counts
3 → 62
Calls
3 calls:
33.0ms
(* (* z 3.0) y)
21.0ms
(/ y (* z 3.0))
20.0ms
(/ t (* (* z 3.0) y))

series82.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* (* z 3.0) y)
21.0ms
(/ y (* z 3.0))
36.0ms
(/ t (* (* z 3.0) y))

simplify874.0ms

Counts
71 → 71
Iterations

Useful iterations: done (872.0ms)

IterNodesCost
0102623
1265609
21726515
done5000501

prune340.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ t (* z 3.0))
0.2b
(/ y (* z 3.0))
5.6b
(/ (/ t (* z 3.0)) y)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
23×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×add-exp-log add-cbrt-cube
13×associate-/l*
9×cbrt-undiv div-exp
7×div-inv
5×associate-/r*
3×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/l/
Counts
3 → 90
Calls
3 calls:
8.0ms
(/ t (* z 3.0))
10.0ms
(/ y (* z 3.0))
23.0ms
(/ (/ t (* z 3.0)) y)

series79.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ t (* z 3.0))
20.0ms
(/ y (* z 3.0))
37.0ms
(/ (/ t (* z 3.0)) y)

simplify668.0ms

Counts
99 → 99
Iterations

Useful iterations: done (665.0ms)

IterNodesCost
01481003
1356975
21756879
done5000869

prune363.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ t (* z 3.0))
0.2b
(/ (* z 3.0) y)
0.7b
(/ 1 (/ (* z 3.0) y))
5.6b
(/ (/ t (* z 3.0)) y)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
44×add-exp-log
40×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×add-cbrt-cube
21×div-exp
14×cbrt-undiv associate-/r* associate-/l*
12×div-inv
6×prod-exp
5×pow1
4×frac-2neg clear-num cbrt-unprod add-log-exp
3×rec-exp 1-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
4 → 146
Calls
4 calls:
8.0ms
(/ t (* z 3.0))
10.0ms
(/ (* z 3.0) y)
19.0ms
(/ 1 (/ (* z 3.0) y))
15.0ms
(/ (/ t (* z 3.0)) y)

series106.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ t (* z 3.0))
28.0ms
(/ (* z 3.0) y)
18.0ms
(/ 1 (/ (* z 3.0) y))
31.0ms
(/ (/ t (* z 3.0)) y)

simplify1.6s

Counts
158 → 158
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02221689
15841537
231391403
done50001397

prune748.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z 3.0) y)
0.3b
(* (/ 1 z) (/ t 3.0))
0.7b
(/ 1 (/ (* z 3.0) y))
5.6b
(/ (* (/ 1 z) (/ t 3.0)) y)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
84×add-exp-log
64×times-frac
55×add-sqr-sqrt
48×add-cbrt-cube
40×*-un-lft-identity
39×div-exp
38×add-cube-cbrt
20×cbrt-undiv prod-exp
13×associate-*r* associate-*l* associate-/r*
10×cbrt-unprod
9×div-inv
7×pow1 rec-exp 1-exp
6×unswap-sqr
5×associate-/l*
4×add-log-exp
3×frac-2neg clear-num associate-/l/
2×frac-times associate-*r/ associate-*l/
1×pow-flip pow-prod-down associate-/r/ *-commutative inv-pow
Counts
4 → 167
Calls
4 calls:
11.0ms
(/ (* z 3.0) y)
32.0ms
(* (/ 1 z) (/ t 3.0))
19.0ms
(/ 1 (/ (* z 3.0) y))
19.0ms
(/ (* (/ 1 z) (/ t 3.0)) y)

series126.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (* z 3.0) y)
31.0ms
(* (/ 1 z) (/ t 3.0))
22.0ms
(/ 1 (/ (* z 3.0) y))
39.0ms
(/ (* (/ 1 z) (/ t 3.0)) y)

simplify428.0ms

Counts
179 → 179
Iterations

Useful iterations: done (422.0ms)

IterNodesCost
02641988
18071776
done50001444

prune719.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes375.0ms

Accuracy

26.3% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.6b

bsearch57.0ms

Steps
ItersRangePoint
7
1.1283271502344792e-18
2.5422340747188287e-16
1.5801305016597386e-18

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02338
12938
done2938

end0.0ms

sample1.4s

Algorithm
intervals
Results
782.0ms11068×body80valid