Details

Time bar (total: 1.0m)

sample110.0ms

Algorithm
intervals
Results
40.0ms341×body80nan
32.0ms256×body80valid

simplify5.2s

Counts
1 → 1
Iterations
IterNodes
done5000
43459
3770
2158
144
019

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.3b
(/ (- 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))))))

rewrite363.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv expm1-log1p-u frac-times div-exp log1p-expm1-u add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 102
Calls
4 calls:
36.0ms
(* 3.0 (* v v))
14.0ms
(* PI t)
231.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
74.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
54.0ms
(* 3.0 (* v v))
44.0ms
(* PI t)
1.1s
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
400.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify4.3s

Counts
114 → 114
Iterations
IterNodes
done5015
23888
1800
0258

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize139.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 5.0 v) v)
0.2b
(* 3.0 (* v v))
0.4b
(/ (/ (/ (- 1.0 (* (* 5.0 v) v)) PI) t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))))
0.5b
(/ (/ (- 1.0 (* (* 5.0 v) v)) PI) t)

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
577×times-frac
268×add-sqr-sqrt
267×add-cube-cbrt *-un-lft-identity
56×associate-/l*
44×sqrt-prod
28×add-exp-log add-cbrt-cube
26×div-inv
14×pow1
9×cbrt-undiv div-exp
7×associate-/r*
6×pow-prod-down prod-exp cbrt-unprod
5×div-sub
4×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×frac-2neg sqrt-div associate-*r/ clear-num associate-/r/ *-commutative associate-/l/
1×flip3-- flip-- unswap-sqr
Counts
4 → 355
Calls
4 calls:
37.0ms
(* (* 5.0 v) v)
39.0ms
(* 3.0 (* v v))
86.0ms
(/ (/ (/ (- 1.0 (* (* 5.0 v) v)) PI) t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))))
35.0ms
(/ (/ (- 1.0 (* (* 5.0 v) v)) PI) t)

series925.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* (* 5.0 v) v)
56.0ms
(* 3.0 (* v v))
646.0ms
(/ (/ (/ (- 1.0 (* (* 5.0 v) v)) PI) t) (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))))
170.0ms
(/ (/ (- 1.0 (* (* 5.0 v) v)) PI) t)

simplify5.6s

Counts
367 → 367
Iterations
IterNodes
done5002
24592
11546
0667

prune9.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize154.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 5.0 v) v)
0.2b
(* 3.0 (* v v))
0.2b
(* (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))) PI) t)
0.3b
(/ (/ (- 1.0 (* (* 5.0 v) v)) 1) (* (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))) PI) t))

rewrite712.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
40×add-cbrt-cube
31×times-frac
22×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
19×pow1
18×prod-exp
15×div-exp cbrt-unprod
13×associate-/l*
9×cbrt-undiv pow-prod-down
8×associate-*l/
7×associate-*r*
5×associate-*l*
4×expm1-log1p-u sqrt-div associate-*r/ log1p-expm1-u add-log-exp
3×1-exp *-commutative div-inv
2×flip3-- div-sub associate-/r/ flip--
1×frac-2neg clear-num associate-/r* associate-/l/ unswap-sqr
Counts
4 → 121
Calls
4 calls:
36.0ms
(* (* 5.0 v) v)
34.0ms
(* 3.0 (* v v))
312.0ms
(* (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))) PI) t)
320.0ms
(/ (/ (- 1.0 (* (* 5.0 v) v)) 1) (* (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))) PI) t))

series2.4s

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (* 5.0 v) v)
63.0ms
(* 3.0 (* v v))
457.0ms
(* (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))) PI) t)
1.8s
(/ (/ (- 1.0 (* (* 5.0 v) v)) 1) (* (* (sqrt (* 2.0 (- (* 1.0 1.0) (* (* (* 3.0 v) v) (* (* 3.0 v) v))))) PI) t))

simplify5.1s

Counts
133 → 133
Iterations
IterNodes
done5008
22928
1786
0275

prune4.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize151.0ms

Local error

Found 4 expressions with local error:

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

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
68×add-sqr-sqrt
66×add-cube-cbrt *-un-lft-identity
21×add-exp-log add-cbrt-cube associate-/l*
16×sqrt-prod
14×pow1
10×sqrt-div associate-*l/ associate-/r/
7×associate-/r*
6×flip3-- associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod div-inv
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×div-sub associate-/l/
2×frac-2neg associate-*r* clear-num *-commutative unswap-sqr
Counts
4 → 173
Calls
4 calls:
33.0ms
(* 3.0 (* v v))
43.0ms
(* 3.0 (* v v))
85.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))) 2.0))) PI)
68.0ms
(/ (- 1.0 (* 5.0 (* v v))) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))) 2.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
52.0ms
(* 3.0 (* v v))
47.0ms
(* 3.0 (* v v))
602.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))) 2.0))) PI)
485.0ms
(/ (- 1.0 (* 5.0 (* v v))) (sqrt (* (- (* 1.0 1.0) (* (* 3.0 (* v v)) (* 3.0 (* v v)))) 2.0)))

simplify6.9s

Counts
185 → 185
Iterations
IterNodes
done5038
22938
1856
0328

prune4.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes217.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify105.0ms

Iterations
IterNodes
done43
143
032

end12.0ms

sample5.7s

Algorithm
intervals
Results
2.9s8000×body80valid
2.2s7943×body80nan