Details

Time bar (total: 23.7s)

sample74.0ms

Algorithm
intervals
Results
30.0ms256×body80valid
19.0ms216×body80nan

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
done5001
44150
3839
2163
144
019

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.3b
(* PI t)
0.4b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
30×add-cbrt-cube add-exp-log
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×*-un-lft-identity add-cube-cbrt
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×expm1-log1p-u frac-times cbrt-undiv div-exp log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ unswap-sqr associate-/l/
1×clear-num associate-/r* frac-2neg div-sub sqrt-prod div-inv
Counts
4 → 102
Calls
4 calls:
21.0ms
(* 5.0 (* v v))
6.0ms
(* PI t)
171.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
60.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 5.0 (* v v))
46.0ms
(* PI t)
827.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
260.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify446.0ms

Counts
114 → 114
Iterations
IterNodes
done5001
1829
0261

prune927.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.2b
(* v (* 5.0 v))
0.2b
(* (* v v) 3.0)
0.4b
(/ (/ (sqrt (- 1.0 (* v (* 5.0 v)))) PI) t)
0.5b
(/ (/ (/ (sqrt (- 1.0 (* v (* 5.0 v)))) PI) t) (sqrt (* 2.0 (- 1.0 (* (* v v) 3.0)))))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
1018×times-frac
463×add-sqr-sqrt
462×*-un-lft-identity add-cube-cbrt
242×sqrt-prod
92×associate-/l*
28×add-cbrt-cube add-exp-log
26×div-inv
14×pow1
9×cbrt-undiv div-exp
7×associate-/r*
6×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×clear-num frac-2neg sqrt-div associate-*r/ associate-/r/ *-commutative associate-/l/
1×flip3-- flip-- unswap-sqr
Counts
4 → 524
Calls
4 calls:
16.0ms
(* v (* 5.0 v))
16.0ms
(* (* v v) 3.0)
27.0ms
(/ (/ (sqrt (- 1.0 (* v (* 5.0 v)))) PI) t)
71.0ms
(/ (/ (/ (sqrt (- 1.0 (* v (* 5.0 v)))) PI) t) (sqrt (* 2.0 (- 1.0 (* (* v v) 3.0)))))

series915.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* v (* 5.0 v))
56.0ms
(* (* v v) 3.0)
266.0ms
(/ (/ (sqrt (- 1.0 (* v (* 5.0 v)))) PI) t)
549.0ms
(/ (/ (/ (sqrt (- 1.0 (* v (* 5.0 v)))) PI) t) (sqrt (* 2.0 (- 1.0 (* (* v v) 3.0)))))

simplify1.0s

Counts
536 → 536
Iterations
IterNodes
done5000
12140
0844

prune4.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b
(* v (* 5.0 v))
0.2b
(* v (* 5.0 v))
0.4b
(/ (/ (sqrt (- 1.0 (* v (* 5.0 v)))) PI) (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) t))
0.5b
(* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) t)

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
36×add-sqr-sqrt
34×*-un-lft-identity add-cube-cbrt
28×add-cbrt-cube add-exp-log
22×associate-/l*
19×sqrt-prod
16×pow1
10×associate-*l*
9×prod-exp cbrt-unprod
7×pow-prod-down
6×cbrt-undiv div-exp
5×associate-*r*
4×expm1-log1p-u sqrt-div associate-*l/ associate-*r/ log1p-expm1-u add-log-exp
3×*-commutative div-inv
2×flip3-- associate-/r/ flip--
1×clear-num associate-/r* frac-2neg unswap-sqr associate-/l/
Counts
4 → 131
Calls
4 calls:
17.0ms
(* v (* 5.0 v))
16.0ms
(* v (* 5.0 v))
49.0ms
(/ (/ (sqrt (- 1.0 (* v (* 5.0 v)))) PI) (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) t))
42.0ms
(* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) t)

series1.0s

Counts
4 → 12
Calls
4 calls:
27.0ms
(* v (* 5.0 v))
42.0ms
(* v (* 5.0 v))
547.0ms
(/ (/ (sqrt (- 1.0 (* v (* 5.0 v)))) PI) (* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) t))
425.0ms
(* (sqrt (* 2.0 (- 1.0 (* v (* v 3.0))))) t)

simplify1.4s

Counts
143 → 143
Iterations
IterNodes
done5001
23145
1702
0278

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b
(* v (* 5.0 v))
0.4b
(* (/ (sqrt (- 1.0 (* v (* 5.0 v)))) PI) (/ (/ 1 (sqrt (* 2.0 (fma (* v v) (- 3.0) 1.0)))) t))
0.4b
(/ (/ 1 (sqrt (* 2.0 (fma (* v v) (- 3.0) 1.0)))) t)
1.0b
(/ 1 (sqrt (* 2.0 (fma (* v v) (- 3.0) 1.0))))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
233×times-frac
161×add-sqr-sqrt
120×*-un-lft-identity
117×add-cube-cbrt
57×add-exp-log
53×associate-*r*
38×sqrt-prod
37×add-cbrt-cube
25×div-exp associate-*l*
19×associate-/l*
15×pow1
13×cbrt-undiv prod-exp
12×unswap-sqr
11×div-inv
9×cbrt-unprod
7×associate-/r*
5×pow-prod-down
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u pow-flip add-log-exp
2×clear-num frac-2neg sqrt-pow1 *-commutative
1×frac-times pow1/2 associate-*l/ associate-*r/ inv-pow associate-/l/
Counts
4 → 262
Calls
4 calls:
25.0ms
(* v (* 5.0 v))
116.0ms
(* (/ (sqrt (- 1.0 (* v (* 5.0 v)))) PI) (/ (/ 1 (sqrt (* 2.0 (fma (* v v) (- 3.0) 1.0)))) t))
26.0ms
(/ (/ 1 (sqrt (* 2.0 (fma (* v v) (- 3.0) 1.0)))) t)
11.0ms
(/ 1 (sqrt (* 2.0 (fma (* v v) (- 3.0) 1.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
41.0ms
(* v (* 5.0 v))
666.0ms
(* (/ (sqrt (- 1.0 (* v (* 5.0 v)))) PI) (/ (/ 1 (sqrt (* 2.0 (fma (* v v) (- 3.0) 1.0)))) t))
373.0ms
(/ (/ 1 (sqrt (* 2.0 (fma (* v v) (- 3.0) 1.0)))) t)
359.0ms
(/ 1 (sqrt (* 2.0 (fma (* v v) (- 3.0) 1.0))))

simplify1.1s

Counts
274 → 274
Iterations
IterNodes
done5000
11351
0463

prune2.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done38
238
136
029

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.5s8232×body80nan
872.0ms8000×body80valid