Details

Time bar (total: 13.8s)

sample19.0ms

Algorithm
intervals
Results
7.0ms273×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done17
217
110
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize14.0ms

Local error

Found 1 expressions with local error:

3.9b
(/ x (- y (* z t)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-exp div-inv flip-- add-log-exp
Counts
1 → 29
Calls
1 calls:
7.0ms
(/ x (- y (* z t)))

series68.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ x (- y (* z t)))

simplify1.5s

Counts
32 → 32
Iterations
IterNodes
done5000
31312
2418
1138
063

prune186.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.8b

localize22.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ 1 (- y (* z t)))
3.3b
(* x (/ 1 (- y (* z t))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×associate-*r* add-exp-log
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp associate-/r/
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp cbrt-unprod div-inv flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
2 → 71
Calls
2 calls:
15.0ms
(/ 1 (- y (* z t)))
21.0ms
(* x (/ 1 (- y (* z t))))

series120.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ 1 (- y (* z t)))
67.0ms
(* x (/ 1 (- y (* z t))))

simplify3.1s

Counts
77 → 77
Iterations
IterNodes
done5030
44550
31984
2741
1249
099

prune537.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 3.8b

localize15.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 1 (/ (- y (* z t)) x))
3.9b
(/ (- y (* z t)) x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp clear-num frac-2neg 1-exp add-log-exp associate-/l/
1×flip3-- div-sub associate-/r/ pow-flip flip-- inv-pow
Counts
2 → 106
Calls
2 calls:
13.0ms
(/ 1 (/ (- y (* z t)) x))
21.0ms
(/ (- y (* z t)) x)

series193.0ms

Counts
2 → 6
Calls
2 calls:
142.0ms
(/ 1 (/ (- y (* z t)) x))
52.0ms
(/ (- y (* z t)) x)

simplify2.2s

Counts
112 → 112
Iterations
IterNodes
done5006
33340
21084
1415
0163

prune633.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 3.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* t z))))
3.1b
(/ (cbrt x) (- y (* t z)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×times-frac
34×*-un-lft-identity add-cube-cbrt
28×cbrt-prod
24×associate-*r*
18×add-exp-log
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×associate-/r/ add-log-exp
3×cbrt-undiv associate-/r* div-exp pow-prod-down unswap-sqr
2×flip3-- pow1/3 div-inv flip--
1×clear-num frac-2neg associate-*l* associate-*r/ *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
65.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* t z))))
13.0ms
(/ (cbrt x) (- y (* t z)))

series713.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(cbrt x)
246.0ms
(cbrt x)
74.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* t z))))
135.0ms
(/ (cbrt x) (- y (* t z)))

simplify2.6s

Counts
122 → 122
Iterations
IterNodes
done5026
34466
21536
1419
0139

prune573.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 3.8b

regimes523.0ms

Accuracy

0% (0.1b remaining)

Error of 2.8b against oracle of 2.7b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample562.0ms

Algorithm
intervals
Results
259.0ms8376×body80valid