Details

Time bar (total: 5.0m)

sample108.0ms

Algorithm
intervals
Results
49.0ms256×body80valid
33.0ms243×body80nan

simplify280.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
280.0ms
(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt (* 2 (fma (- (* v v)) 3 1))) (* t PI))
0.3b
(/ (/ (fma -5 (* v v) 1) (- 1 (* v v))) (* (sqrt (* 2 (fma (- (* v v)) 3 1))) (* t PI)))
0.2b
(* t PI)
0.0b
(/ (fma -5 (* v v) 1) (- 1 (* v v)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
47×add-sqr-sqrt
45×*-un-lft-identity
35×add-cube-cbrt
34×add-cbrt-cube add-exp-log
24×associate-/l*
20×difference-of-squares
11×pow1
10×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×associate-/r* associate-/r/
4×expm1-log1p-u associate-*r* pow-prod-down insert-posit16 log1p-expm1-u div-inv add-log-exp
3×flip3-- flip--
2×clear-num frac-2neg *-commutative
1×sqrt-prod unswap-sqr associate-/l/
Counts
4 → 152
Calls
4 calls:
Slowest
33.0ms
(/ (/ (fma -5 (* v v) 1) (- 1 (* v v))) (* (sqrt (* 2 (fma (- (* v v)) 3 1))) (* t PI)))
22.0ms
(* (sqrt (* 2 (fma (- (* v v)) 3 1))) (* t PI))
7.0ms
(/ (fma -5 (* v v) 1) (- 1 (* v v)))
5.0ms
(* t PI)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
537.0ms
(/ (/ (fma -5 (* v v) 1) (- 1 (* v v))) (* (sqrt (* 2 (fma (- (* v v)) 3 1))) (* t PI)))
419.0ms
(* (sqrt (* 2 (fma (- (* v v)) 3 1))) (* t PI))
97.0ms
(/ (fma -5 (* v v) 1) (- 1 (* v v)))
40.0ms
(* t PI)

simplify24.7s

Counts
147 → 164
Calls
147 calls:
Slowest
972.0ms
(/ (/ (* (* (fma -5 (* v v) 1) (fma -5 (* v v) 1)) (fma -5 (* v v) 1)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (* (sqrt (* 2 (fma (- (* v v)) 3 1))) (sqrt (* 2 (fma (- (* v v)) 3 1)))) (sqrt (* 2 (fma (- (* v v)) 3 1)))) (* (* (* t PI) (* t PI)) (* t PI))))
955.0ms
(/ (* (* (/ (fma -5 (* v v) 1) (- 1 (* v v))) (/ (fma -5 (* v v) 1) (- 1 (* v v)))) (/ (fma -5 (* v v) 1) (- 1 (* v v)))) (* (* (* (sqrt (* 2 (fma (- (* v v)) 3 1))) (sqrt (* 2 (fma (- (* v v)) 3 1)))) (sqrt (* 2 (fma (- (* v v)) 3 1)))) (* (* (* t t) t) (* (* PI PI) PI))))
902.0ms
(/ (* (* (/ (fma -5 (* v v) 1) (- 1 (* v v))) (/ (fma -5 (* v v) 1) (- 1 (* v v)))) (/ (fma -5 (* v v) 1) (- 1 (* v v)))) (* (* (* (sqrt (* 2 (fma (- (* v v)) 3 1))) (* t PI)) (* (sqrt (* 2 (fma (- (* v v)) 3 1))) (* t PI))) (* (sqrt (* 2 (fma (- (* v v)) 3 1))) (* t PI))))
878.0ms
(/ (/ (* (* (fma -5 (* v v) 1) (fma -5 (* v v) 1)) (fma -5 (* v v) 1)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (* (sqrt (* 2 (fma (- (* v v)) 3 1))) (* t PI)) (* (sqrt (* 2 (fma (- (* v v)) 3 1))) (* t PI))) (* (sqrt (* 2 (fma (- (* v v)) 3 1))) (* t PI))))
789.0ms
(/ (/ (* (* (fma -5 (* v v) 1) (fma -5 (* v v) 1)) (fma -5 (* v v) 1)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (* (sqrt (* 2 (fma (- (* v v)) 3 1))) (sqrt (* 2 (fma (- (* v v)) 3 1)))) (sqrt (* 2 (fma (- (* v v)) 3 1)))) (* (* (* t t) t) (* (* PI PI) PI))))

prune2.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))
0.4b
(/ (/ (fma (* v v) -5 1) (- PI (* v PI))) t)
0.4b
(* (/ 1 (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (/ (/ (fma (* v v) -5 1) (- PI (* v PI))) t))
0.2b
(* v PI)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
225×times-frac
147×add-sqr-sqrt
139×*-un-lft-identity
115×add-cube-cbrt
61×associate-*r*
54×add-exp-log
34×add-cbrt-cube
23×div-exp
21×distribute-rgt-out-- associate-/l*
16×associate-*l*
14×associate-/r/
13×cbrt-undiv prod-exp
11×div-inv
10×unswap-sqr
9×pow1
7×flip3-- cbrt-unprod flip--
6×associate-/r*
4×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg pow-prod-down *-commutative
1×frac-times associate-*l/ associate-*r/ pow-flip inv-pow associate-/l/
Counts
4 → 261
Calls
4 calls:
Slowest
26.0ms
(/ (/ (fma (* v v) -5 1) (- PI (* v PI))) t)
24.0ms
(* (/ 1 (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (/ (/ (fma (* v v) -5 1) (- PI (* v PI))) t))
10.0ms
(* v PI)
9.0ms
(/ 1 (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
805.0ms
(* (/ 1 (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (/ (/ (fma (* v v) -5 1) (- PI (* v PI))) t))
229.0ms
(/ 1 (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))
95.0ms
(/ (/ (fma (* v v) -5 1) (- PI (* v PI))) t)
31.0ms
(* v PI)

simplify41.4s

Counts
289 → 273
Calls
289 calls:
Slowest
910.0ms
(* (/ (* (* 1 1) 1) (* (* (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))) (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))) (/ (/ (* (* (fma (* v v) -5 1) (fma (* v v) -5 1)) (fma (* v v) -5 1)) (* (* (- PI (* v PI)) (- PI (* v PI))) (- PI (* v PI)))) (* (* t t) t)))
635.0ms
(* (/ (* (* 1 1) 1) (* (* (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))) (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))) (/ (* (* (/ (fma (* v v) -5 1) (- PI (* v PI))) (/ (fma (* v v) -5 1) (- PI (* v PI)))) (/ (fma (* v v) -5 1) (- PI (* v PI)))) (* (* t t) t)))
559.0ms
(* (/ 1 (sqrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))) (sqrt (/ (/ (fma (* v v) -5 1) (- PI (* v PI))) t)))
518.0ms
(* (* (* (/ 1 (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (/ 1 (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))) (/ 1 (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))) (/ (* (* (/ (fma (* v v) -5 1) (- PI (* v PI))) (/ (fma (* v v) -5 1) (- PI (* v PI)))) (/ (fma (* v v) -5 1) (- PI (* v PI)))) (* (* t t) t)))
511.0ms
(/ (/ (fma (* v v) -5 1) (- (pow PI 3) (pow (* v PI) 3))) 1)

prune4.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))))
0.4b
(/ (/ (fma (* v v) -5 1) (- PI (* v PI))) t)
0.4b
(* (* (/ 1 (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))))) (/ 1 (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))))) (/ (/ (fma (* v v) -5 1) (- PI (* v PI))) t))
0.2b
(* v PI)

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
448×add-exp-log
211×prod-exp
195×times-frac
184×div-exp
123×*-un-lft-identity
104×add-sqr-sqrt
102×add-cube-cbrt
101×add-cbrt-cube
61×associate-*r*
47×cbrt-undiv rec-exp 1-exp cbrt-unprod
21×distribute-rgt-out-- associate-/l*
19×pow1
14×associate-/r/
10×div-inv
9×pow-flip
7×flip3-- flip--
6×frac-times pow1/3 pow-prod-down associate-*l/
4×expm1-log1p-u associate-/r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r/
2×clear-num frac-2neg pow-sqr un-div-inv *-commutative pow-prod-up
1×pow2 pow-plus inv-pow unswap-sqr associate-/l/
Counts
4 → 341
Calls
4 calls:
Slowest
155.0ms
(* (* (/ 1 (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))))) (/ 1 (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))))) (/ (/ (fma (* v v) -5 1) (- PI (* v PI))) t))
31.0ms
(/ 1 (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))))
25.0ms
(/ (/ (fma (* v v) -5 1) (- PI (* v PI))) t)
9.0ms
(* v PI)

series1.5s

Counts
4 → 12
Calls
4 calls:
Slowest
770.0ms
(* (* (/ 1 (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))))) (/ 1 (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))))) (/ (/ (fma (* v v) -5 1) (- PI (* v PI))) t))
589.0ms
(/ 1 (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))))
105.0ms
(/ (/ (fma (* v v) -5 1) (- PI (* v PI))) t)
38.0ms
(* v PI)

simplify1.5m

Counts
358 → 353
Calls
358 calls:
Slowest
1.3s
(* (* (* (* (/ 1 (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))))) (/ 1 (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))))) (/ 1 (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))))) (/ (* (* 1 1) 1) (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))) (/ (/ (* (* (fma (* v v) -5 1) (fma (* v v) -5 1)) (fma (* v v) -5 1)) (* (* (- PI (* v PI)) (- PI (* v PI))) (- PI (* v PI)))) (* (* t t) t)))
1.2s
(* (* (* (* (/ 1 (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))))) (/ 1 (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))))) (/ 1 (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))))) (* (* (/ 1 (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))) (/ 1 (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))))) (/ 1 (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))))) (/ (/ (* (* (fma (* v v) -5 1) (fma (* v v) -5 1)) (fma (* v v) -5 1)) (* (* (- PI (* v PI)) (- PI (* v PI))) (- PI (* v PI)))) (* (* t t) t)))
1.1s
(* (* (/ (* (* 1 1) 1) (* (* (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))) (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))))) (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))))) (* (* (/ 1 (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))) (/ 1 (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))))) (/ 1 (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))))) (/ (/ (* (* (fma (* v v) -5 1) (fma (* v v) -5 1)) (fma (* v v) -5 1)) (* (* (- PI (* v PI)) (- PI (* v PI))) (- PI (* v PI)))) (* (* t t) t)))
1.0s
(* (* (/ (* (* 1 1) 1) (* (* (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))) (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))))) (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))))) (/ (* (* 1 1) 1) (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))) (/ (/ (* (* (fma (* v v) -5 1) (fma (* v v) -5 1)) (fma (* v v) -5 1)) (* (* (- PI (* v PI)) (- PI (* v PI))) (- PI (* v PI)))) (* (* t t) t)))
1.0s
(* (* (/ (* (* 1 1) 1) (* (* (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))) (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))))) (* (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))) (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))))) (* (* (/ 1 (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))) (/ 1 (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2)))))) (/ 1 (cbrt (fma v (sqrt (fma v (* v -6) 2)) (sqrt (fma v (* v -6) 2))))))) (/ (* (* (/ (fma (* v v) -5 1) (- PI (* v PI))) (/ (fma (* v v) -5 1) (- PI (* v PI)))) (/ (fma (* v v) -5 1) (- PI (* v PI)))) (* (* t t) t)))

prune6.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt (fma (* v -6) v 2)) t)
0.4b
(* (sqrt (fma (* v -6) v 2)) t)
0.3b
(/ (/ (/ (fma (* v v) -5 1) (- 1 v)) PI) (fma v (* (sqrt (fma (* v -6) v 2)) t) (* (sqrt (fma (* v -6) v 2)) t)))
0.0b
(/ (fma (* v v) -5 1) (- 1 v))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
750×times-frac
446×add-sqr-sqrt
438×*-un-lft-identity
318×add-cube-cbrt
80×difference-of-squares
79×associate-/l*
40×distribute-lft-out--
26×associate-/r/
19×add-cbrt-cube add-exp-log
18×div-inv
13×flip3-- flip--
12×associate-*l*
9×associate-/r*
8×pow1 sqrt-prod
7×cbrt-undiv div-exp
6×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×clear-num frac-2neg pow-prod-down prod-exp *-commutative cbrt-unprod
1×associate-/l/
Counts
4 → 421
Calls
4 calls:
Slowest
18.0ms
(/ (/ (/ (fma (* v v) -5 1) (- 1 v)) PI) (fma v (* (sqrt (fma (* v -6) v 2)) t) (* (sqrt (fma (* v -6) v 2)) t)))
10.0ms
(/ (fma (* v v) -5 1) (- 1 v))
7.0ms
(* (sqrt (fma (* v -6) v 2)) t)
7.0ms
(* (sqrt (fma (* v -6) v 2)) t)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
722.0ms
(/ (/ (/ (fma (* v v) -5 1) (- 1 v)) PI) (fma v (* (sqrt (fma (* v -6) v 2)) t) (* (sqrt (fma (* v -6) v 2)) t)))
242.0ms
(* (sqrt (fma (* v -6) v 2)) t)
211.0ms
(* (sqrt (fma (* v -6) v 2)) t)
37.0ms
(/ (fma (* v v) -5 1) (- 1 v))

simplify2.0m

Counts
629 → 433
Calls
629 calls:
Slowest
658.0ms
(/ (/ (/ (sqrt (fma (* v v) -5 1)) (- (sqrt 1) (sqrt v))) PI) (fma v (* (sqrt (fma (* v -6) v 2)) t) (* (sqrt (fma (* v -6) v 2)) t)))
652.0ms
(/ (/ (/ (cbrt (fma (* v v) -5 1)) (- (sqrt 1) (sqrt v))) PI) (fma v (* (sqrt (fma (* v -6) v 2)) t) (* (sqrt (fma (* v -6) v 2)) t)))
642.0ms
(/ (/ (/ (sqrt (fma (* v v) -5 1)) (- 1 (sqrt v))) PI) (fma v (* (sqrt (fma (* v -6) v 2)) t) (* (sqrt (fma (* v -6) v 2)) t)))
635.0ms
(/ (/ (/ (* (cbrt (fma (* v v) -5 1)) (cbrt (fma (* v v) -5 1))) (sqrt (- 1 v))) (* (cbrt PI) (cbrt PI))) (sqrt (fma v (* (sqrt (fma (* v -6) v 2)) t) (* (sqrt (fma (* v -6) v 2)) t))))
600.0ms
(/ (/ (/ (cbrt (fma (* v v) -5 1)) (- 1 (sqrt v))) PI) (fma v (* (sqrt (fma (* v -6) v 2)) t) (* (sqrt (fma (* v -6) v 2)) t)))

prune4.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch3.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.4s8000×body80valid
981.0ms8170×body80nan