Details

Time bar (total: 7.4m)

sample150.0ms

Algorithm
intervals
Results
55.0ms239×body80nan
53.0ms256×body80valid

simplify176.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
176.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))

prune40.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize98.0ms

Local error

Found 4 expressions with local error:

6.1b
(/ (sqrt (+ a t)) (/ t z))
2.6b
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
0.3b
(/ 2.0 (* t 3.0))
0.1b
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))

rewrite376.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
355×*-un-lft-identity
272×add-sqr-sqrt
268×add-cube-cbrt
160×sqrt-prod
132×prod-diff
96×fma-neg
42×distribute-lft-out
26×div-inv
22×distribute-rgt-in distribute-lft-in associate--r+
17×flip3-- flip--
16×frac-times add-cbrt-cube add-exp-log
14×associate-/r* frac-sub
12×frac-add
10×associate-/l*
8×associate-*l/
7×flip3-+ flip-+
6×pow1 add-log-exp
5×cbrt-undiv sub-neg div-exp associate-*r* associate-*l*
4×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u
3×associate-/r/
2×clear-num frac-2neg sqrt-div prod-exp cbrt-unprod distribute-lft-out-- associate-/l/
1×diff-log pow-prod-down *-commutative difference-of-squares unswap-sqr
Counts
4 → 459
Calls
4 calls:
Slowest
252.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
82.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
25.0ms
(/ (sqrt (+ a t)) (/ t z))
6.0ms
(/ 2.0 (* t 3.0))

series500.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
279.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
110.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
92.0ms
(/ (sqrt (+ a t)) (/ t z))
19.0ms
(/ 2.0 (* t 3.0))

simplify1.6m

Counts
625 → 471
Calls
625 calls:
Slowest
804.0ms
(- (* (sqrt (+ a t)) (* (* (+ a (/ 2.0 (* t 3.0))) 6.0) (+ (* b b) (+ (* c c) (* b c))))) (* (/ t z) (* (+ (* (- (* a a) (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0)))) 6.0) (* (+ a (/ 2.0 (* t 3.0))) 5.0)) (- (pow b 3) (pow c 3)))))
732.0ms
(fma (- (- b c)) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (* (- b c) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0))))
732.0ms
(- (* (sqrt (+ a t)) (* (- (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (+ (* b b) (+ (* c c) (* b c))))) (* (/ t z) (* (- (* (- a (/ 2.0 (* t 3.0))) (- a (/ 2.0 (* t 3.0)))) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (pow b 3) (pow c 3)))))
720.0ms
(fma (- (- b c)) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (* (- b c) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0))))
693.0ms
(* (- (* (- a (/ 2.0 (* t 3.0))) (- a (/ 2.0 (* t 3.0)))) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- b c))

prune11.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize108.0ms

Local error

Found 4 expressions with local error:

1.1b
(fma (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (- (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 53
Calls
4 calls:
Slowest
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (- (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))

series1.6s

Counts
4 → 12
Calls
4 calls:
Slowest
684.0ms
(fma (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (- (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
319.0ms
(cbrt t)
299.0ms
(cbrt t)
273.0ms
(cbrt t)

simplify749.0ms

Counts
21 → 65
Calls
21 calls:
Slowest
165.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
127.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
110.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))
109.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))
107.0ms
(* (pow (* t -1) 1/3) (cbrt -1))

prune2.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

60.0b
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))
6.1b
(/ (sqrt (+ a t)) (/ t z))
2.6b
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))
0.3b
(/ 2.0 (* t 3.0))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
334×*-un-lft-identity
254×add-sqr-sqrt add-cube-cbrt
160×sqrt-prod
114×prod-diff
96×fma-neg
40×distribute-lft-out
26×div-inv
22×associate--r+
14×associate-/r* add-cbrt-cube add-exp-log frac-sub
11×distribute-rgt-in distribute-lft-in
10×associate-/l*
9×flip3-- flip--
8×frac-times
6×frac-add add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u pow1 flip3-+ associate-*l/ flip-+ insert-posit16 log1p-expm1-u
3×sub-neg associate-/r/
2×clear-num frac-2neg sqrt-div associate-*r/ associate-/l/
1×diff-log prod-exp cbrt-unprod remove-posit16
Counts
4 → 409
Calls
4 calls:
Slowest
95.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))
23.0ms
(/ (sqrt (+ a t)) (/ t z))
6.0ms
(/ 2.0 (* t 3.0))
0.0ms
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

series426.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
275.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))
96.0ms
(/ (sqrt (+ a t)) (/ t z))
33.0ms
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))
22.0ms
(/ 2.0 (* t 3.0))

simplify1.0m

Counts
569 → 421
Calls
569 calls:
Slowest
743.0ms
(- (* (sqrt (+ a t)) (* (* (+ (* a a) (+ (* (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))) (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (* a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))))) 6.0) (+ b c))) (* (/ t z) (* (+ (* (- (pow a 3) (pow (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))) 3)) 6.0) (* (+ (* a a) (+ (* (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))) (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (* a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))))) 5.0)) (- (* b b) (* c c)))))
709.0ms
(* (fma (- (sqrt c)) (sqrt c) (* (sqrt c) (sqrt c))) (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)))
700.0ms
(- (* (sqrt (+ a t)) (* (+ (* (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)))) (+ b c))) (* (/ t z) (* (+ (pow (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) 3) (pow (/ 5.0 6.0) 3)) (- (* b b) (* c c)))))
700.0ms
(- (* (sqrt (+ a t)) (* (* (+ a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) 6.0) (+ (* b b) (+ (* c c) (* b c))))) (* (/ t z) (* (+ (* (- (* a a) (* (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))) 6.0) (* (+ a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) 5.0)) (- (pow b 3) (pow c 3)))))
628.0ms
(- (* (sqrt (+ a t)) (* (- (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (+ (* b b) (+ (* c c) (* b c))))) (* (/ t z) (* (- (* (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (pow b 3) (pow c 3)))))

prune16.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize109.0ms

Local error

Found 4 expressions with local error:

48.4b
(posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
6.1b
(/ (sqrt (+ a t)) (/ t z))
2.6b
(- (/ (sqrt (+ a t)) (/ t z)) (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))
0.3b
(/ 2.0 (* t 3.0))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
788×times-frac
624×*-un-lft-identity
506×add-sqr-sqrt
490×add-cube-cbrt
288×prod-diff
266×sqrt-prod
96×fma-neg
66×distribute-lft-out
42×div-inv
14×associate-/r* add-cbrt-cube add-exp-log
10×associate-/l*
6×add-log-exp
5×cbrt-undiv div-exp associate-/r/ difference-of-squares
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×clear-num frac-2neg sqrt-div associate-/l/
1×sub-neg flip3-+ flip3-- diff-log prod-exp cbrt-unprod flip-+ remove-posit16 flip-- distribute-lft-out--
Counts
4 → 571
Calls
4 calls:
Slowest
69.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))
23.0ms
(/ (sqrt (+ a t)) (/ t z))
12.0ms
(/ 2.0 (* t 3.0))
0.0ms
(posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))

series572.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
326.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))
109.0ms
(/ (sqrt (+ a t)) (/ t z))
108.0ms
(posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
28.0ms
(/ 2.0 (* t 3.0))

simplify3.7m

Counts
915 → 583
Calls
915 calls:
Slowest
961.0ms
(fma (/ (sqrt (sqrt (+ a t))) (/ (sqrt t) (* (cbrt z) (cbrt z)))) (/ (sqrt (sqrt (+ a t))) (/ (sqrt t) (cbrt z))) (- (* (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))) 1)))
951.0ms
(fma (/ 1 (/ (sqrt t) (sqrt z))) (/ (sqrt (+ a t)) (/ (sqrt t) (sqrt z))) (- (* (cbrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) (* (cbrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) (cbrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))))))
903.0ms
(fma (- (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) 1 (* (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))) 1))
883.0ms
(fma (/ (sqrt (sqrt (+ a t))) (/ 1 (* (cbrt z) (cbrt z)))) (/ (sqrt (sqrt (+ a t))) (/ t (cbrt z))) (- (* (sqrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) (sqrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))))))
871.0ms
(fma (- (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) 1 (* (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))) 1))

prune23.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes782.0ms

Accuracy

0% (0.9b remaining)

Error of 1.4b against oracle of 0.4b and baseline of 1.4b

bsearch31.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.7s8155×body80nan
2.3s8000×body80valid