Details

Time bar (total: 32.0s)

sample147.0ms

Algorithm
intervals
Results
63.0ms263×body80nan
54.0ms256×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
44495
3836
2162
146
019

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(* PI (- 1 (* v v)))
0.2b
(* (* v v) 6)
0.4b
(/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (* t (sqrt (- 2 (* (* v v) 6)))))
0.4b
(* t (sqrt (- 2 (* (* v v) 6))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
34×add-cbrt-cube add-exp-log
24×add-sqr-sqrt
17×*-un-lft-identity
16×add-cube-cbrt
15×times-frac
14×associate-*r*
13×pow1
10×cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod
9×associate-/l*
7×associate-*l*
6×prod-diff associate-/r/
5×distribute-rgt-in distribute-lft-in flip3-- pow-prod-down flip--
4×expm1-log1p-u sqrt-div sqrt-prod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative div-inv
2×sub-neg difference-of-squares
1×clear-num associate-/r* frac-2neg associate-/l/
Counts
4 → 131
Calls
4 calls:
14.0ms
(* PI (- 1 (* v v)))
18.0ms
(* (* v v) 6)
28.0ms
(/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (* t (sqrt (- 2 (* (* v v) 6)))))
13.0ms
(* t (sqrt (- 2 (* (* v v) 6))))

series745.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* PI (- 1 (* v v)))
46.0ms
(* (* v v) 6)
488.0ms
(/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) (* t (sqrt (- 2 (* (* v v) 6)))))
118.0ms
(* t (sqrt (- 2 (* (* v v) 6))))

simplify1.1s

Counts
143 → 143
Iterations
IterNodes
22686
1750
0302

prune1.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* PI (- 1 (* v v)))
0.2b
(* (* v v) 6)
0.4b
(/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) t)
0.4b
(/ (/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) t) (sqrt (- 2 (* (* v v) 6))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
477×times-frac
207×add-sqr-sqrt
204×*-un-lft-identity
203×add-cube-cbrt
96×sqrt-prod
52×associate-*r/ associate-/r/
40×associate-/l*
34×add-cbrt-cube add-exp-log div-inv
27×flip3-- flip--
14×cbrt-undiv div-exp
11×pow1
9×associate-/r*
8×associate-*r*
6×prod-diff prod-exp cbrt-unprod
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*l* pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
2×clear-num sub-neg frac-2neg sqrt-div *-commutative difference-of-squares unswap-sqr associate-/l/
Counts
4 → 363
Calls
4 calls:
21.0ms
(* PI (- 1 (* v v)))
27.0ms
(* (* v v) 6)
15.0ms
(/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) t)
31.0ms
(/ (/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) t) (sqrt (- 2 (* (* v v) 6))))

series788.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* PI (- 1 (* v v)))
35.0ms
(* (* v v) 6)
165.0ms
(/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) t)
486.0ms
(/ (/ (/ (fma (* v v) -5 1) (* PI (- 1 (* v v)))) t) (sqrt (- 2 (* (* v v) 6))))

simplify2.1s

Counts
375 → 375
Iterations
IterNodes
24014
11482
0640

prune5.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(* PI (- 1 (* v v)))
0.0b
(/ (/ 1 (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6))))
0.2b
(* (* v v) 6)
0.3b
(* (/ (fma (* v v) -5 1) t) (/ (/ 1 (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6)))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
163×times-frac
104×add-sqr-sqrt
94×add-exp-log
82×*-un-lft-identity
81×add-cube-cbrt
68×associate-*r*
59×sqrt-prod
52×add-cbrt-cube
41×div-exp
30×associate-/r/
29×prod-exp associate-*r/
19×cbrt-undiv
17×associate-*l*
16×flip3-- div-inv flip--
15×cbrt-unprod
13×pow1
9×associate-/l*
8×unswap-sqr
6×rec-exp associate-/r* 1-exp prod-diff
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×sub-neg difference-of-squares
1×frac-times clear-num frac-2neg associate-*l/ associate-/l/
Counts
4 → 270
Calls
4 calls:
19.0ms
(* PI (- 1 (* v v)))
23.0ms
(/ (/ 1 (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6))))
14.0ms
(* (* v v) 6)
100.0ms
(* (/ (fma (* v v) -5 1) t) (/ (/ 1 (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6)))))

series995.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* PI (- 1 (* v v)))
387.0ms
(/ (/ 1 (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6))))
34.0ms
(* (* v v) 6)
470.0ms
(* (/ (fma (* v v) -5 1) t) (/ (/ 1 (* PI (- 1 (* v v)))) (sqrt (- 2 (* (* v v) 6)))))

simplify2.5s

Counts
282 → 282
Iterations
IterNodes
24717
11418
0486

prune3.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1 (* v v)) PI)
0.2b
(* 6 (* v v))
0.2b
(* (* (sqrt (- 2 (* 6 (* v v)))) (* (- 1 (* v v)) PI)) t)
0.2b
(/ (/ (fma (* v v) -5 1) 1) (* (* (sqrt (- 2 (* 6 (* v v)))) (* (- 1 (* v v)) PI)) t))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
52×add-cbrt-cube
34×associate-*l/
31×times-frac
28×prod-exp
26×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt cbrt-unprod
20×pow1 div-exp
13×flip3-- flip-- associate-/l*
12×cbrt-undiv sqrt-div
10×pow-prod-down
9×associate-*l*
8×frac-times associate-/r/
7×associate-*r*
4×expm1-log1p-u 1-exp associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative div-inv
2×difference-of-squares unswap-sqr
1×clear-num associate-/r* frac-2neg associate-/l/
Counts
4 → 148
Calls
4 calls:
14.0ms
(* (- 1 (* v v)) PI)
20.0ms
(* 6 (* v v))
95.0ms
(* (* (sqrt (- 2 (* 6 (* v v)))) (* (- 1 (* v v)) PI)) t)
83.0ms
(/ (/ (fma (* v v) -5 1) 1) (* (* (sqrt (- 2 (* 6 (* v v)))) (* (- 1 (* v v)) PI)) t))

series1.0s

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (- 1 (* v v)) PI)
37.0ms
(* 6 (* v v))
422.0ms
(* (* (sqrt (- 2 (* 6 (* v v)))) (* (- 1 (* v v)) PI)) t)
482.0ms
(/ (/ (fma (* v v) -5 1) 1) (* (* (sqrt (- 2 (* 6 (* v v)))) (* (- 1 (* v v)) PI)) t))

simplify1.7s

Counts
160 → 160
Iterations
IterNodes
23825
11038
0348

prune2.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
240
140
029

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.9s8198×body80nan
1.6s8001×body80valid