Details

Time bar (total: 50.6s)

sample157.0ms

Algorithm
intervals
Results
77.0ms256×body80valid
55.0ms264×body80nan

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
44608
3838
2160
144
019

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b
(* PI (- 1 (* v v)))
0.2b
(* 6 (* v v))
0.4b
(/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v))))
0.5b
(/ (/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
299×times-frac
123×add-sqr-sqrt
120×*-un-lft-identity
119×add-cube-cbrt
60×sqrt-prod
41×add-cbrt-cube add-exp-log
32×associate-/l*
18×associate-*r/ associate-/r/ div-inv
17×cbrt-undiv div-exp
11×pow1
10×flip3-- flip--
8×prod-exp cbrt-unprod
7×associate-/r*
6×associate-*r* associate-*l* prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u 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 → 273
Calls
4 calls:
16.0ms
(* PI (- 1 (* v v)))
13.0ms
(* 6 (* v v))
22.0ms
(/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v))))
47.0ms
(/ (/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))

series825.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* PI (- 1 (* v v)))
37.0ms
(* 6 (* v v))
189.0ms
(/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v))))
509.0ms
(/ (/ (/ (fma -5 (* v v) 1) t) (* PI (- 1 (* v v)))) (sqrt (- 2 (* 6 (* v v)))))

simplify2.0s

Counts
285 → 285
Iterations
IterNodes
23722
11231
0507

prune3.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
2345×times-frac
1191×add-sqr-sqrt
1117×*-un-lft-identity
944×add-cube-cbrt
437×sqrt-prod
433×associate-*r*
338×difference-of-squares
82×div-inv
76×add-exp-log
74×associate-/l*
52×add-cbrt-cube
40×div-exp
30×associate-/r/
23×cbrt-undiv
19×unswap-sqr
16×associate-*l*
15×flip3-- prod-exp flip--
11×pow1 cbrt-unprod
9×associate-/r*
4×expm1-log1p-u sqrt-div pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp 1-exp
2×clear-num frac-2neg *-commutative
1×frac-times associate-*l/ associate-*r/ associate-/l/
Counts
4 → 1077
Calls
4 calls:
4.0ms
(/ (fma -5 (* v v) 1) PI)
13.0ms
(* 6 (* v v))
74.0ms
(* (/ (fma -5 (* v v) 1) PI) (/ (/ (/ 1 t) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
27.0ms
(/ (/ (/ 1 t) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
145.0ms
(/ (fma -5 (* v v) 1) PI)
44.0ms
(* 6 (* v v))
593.0ms
(* (/ (fma -5 (* v v) 1) PI) (/ (/ (/ 1 t) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
237.0ms
(/ (/ (/ 1 t) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))

simplify4.5s

Counts
1089 → 1089
Iterations
IterNodes
14453
01412

prune17.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
37×add-cbrt-cube add-exp-log
31×times-frac
29×add-sqr-sqrt
26×*-un-lft-identity
25×add-cube-cbrt
18×associate-*r/
16×pow1
13×prod-exp cbrt-unprod associate-/l*
12×sqrt-div associate-*r*
9×cbrt-undiv div-exp
8×frac-times associate-/r/
7×flip3-- associate-*l* pow-prod-down flip--
6×flip3-+ prod-diff flip-+
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative sqrt-prod div-inv
2×sub-neg difference-of-squares unswap-sqr
1×clear-num associate-/r* frac-2neg associate-/l/
Counts
4 → 150
Calls
4 calls:
18.0ms
(* PI (- 1 (* v v)))
64.0ms
(* (* PI (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v)))))
27.0ms
(* -6 (* v v))
33.0ms
(/ (/ (fma -5 (* v v) 1) t) (* (* PI (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))))

series919.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* PI (- 1 (* v v)))
258.0ms
(* (* PI (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v)))))
45.0ms
(* -6 (* v v))
518.0ms
(/ (/ (fma -5 (* v v) 1) t) (* (* PI (- 1 (* v v))) (sqrt (+ 2 (* -6 (* v v))))))

simplify1.8s

Counts
162 → 162
Iterations
IterNodes
23677
11021
0363

prune2.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(* PI (- 1 (* v v)))
0.4b
(* (/ 1 (* PI (- 1 (* v v)))) (/ (/ (fma -5 (* v v) 1) (sqrt (fma (* v v) -6 2))) t))
0.4b
(/ (/ (fma -5 (* v v) 1) (sqrt (fma (* v v) -6 2))) t)
1.0b
(/ (fma -5 (* v v) 1) (sqrt (fma (* v v) -6 2)))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
284×times-frac
178×add-sqr-sqrt
163×*-un-lft-identity
162×add-cube-cbrt
91×add-exp-log
76×sqrt-prod
75×associate-*r*
49×add-cbrt-cube
37×div-exp
31×prod-exp
25×associate-/l*
19×cbrt-undiv
13×cbrt-unprod
12×associate-*l*
11×div-inv
9×associate-/r*
8×pow1
6×rec-exp 1-exp prod-diff
5×distribute-rgt-in distribute-lft-in associate-*r/ unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num sub-neg frac-2neg flip3-- pow-prod-down associate-/r/ *-commutative flip-- difference-of-squares
1×frac-times associate-*l/ associate-/l/
Counts
4 → 314
Calls
4 calls:
27.0ms
(* PI (- 1 (* v v)))
104.0ms
(* (/ 1 (* PI (- 1 (* v v)))) (/ (/ (fma -5 (* v v) 1) (sqrt (fma (* v v) -6 2))) t))
17.0ms
(/ (/ (fma -5 (* v v) 1) (sqrt (fma (* v v) -6 2))) t)
5.0ms
(/ (fma -5 (* v v) 1) (sqrt (fma (* v v) -6 2)))

series1.3s

Counts
4 → 12
Calls
4 calls:
96.0ms
(* PI (- 1 (* v v)))
499.0ms
(* (/ 1 (* PI (- 1 (* v v)))) (/ (/ (fma -5 (* v v) 1) (sqrt (fma (* v v) -6 2))) t))
402.0ms
(/ (/ (fma -5 (* v v) 1) (sqrt (fma (* v v) -6 2))) t)
297.0ms
(/ (fma -5 (* v v) 1) (sqrt (fma (* v v) -6 2)))

simplify2.6s

Counts
326 → 326
Iterations
IterNodes
25178
11523
0527

prune4.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
217
117
016

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.1s8000×body80valid
1.6s8080×body80nan