Details

Time bar (total: 4.8m)

sample217.0ms

Algorithm
intervals
Results
101.0ms274×body80nan
74.0ms256×body80valid

simplify161.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
160.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize66.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ (sqrt (+ a t)) (/ t z))
1.9b
(- (/ (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))

rewrite338.0ms

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
218.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
69.0ms
(- (/ (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))

series520.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
302.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
104.0ms
(/ (sqrt (+ a t)) (/ t z))
89.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
25.0ms
(/ 2.0 (* t 3.0))

simplify1.6m

Counts
625 → 471
Calls
625 calls:
Slowest
719.0ms
(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))))
679.0ms
(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))))
661.0ms
(* (fma (- (cbrt c)) (* (cbrt c) (cbrt c)) (* (cbrt c) (* (cbrt c) (cbrt c)))) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)))
650.0ms
(- (* (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)))))
623.0ms
(- (* (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)))))

prune11.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize109.0ms

Local error

Found 4 expressions with local error:

1.0b
(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 z)
0.6b
(cbrt z)
0.6b
(cbrt z)

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 z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
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))))

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
540.0ms
(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))))
300.0ms
(cbrt z)
295.0ms
(cbrt z)
234.0ms
(cbrt z)

simplify801.0ms

Counts
21 → 65
Calls
21 calls:
Slowest
151.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
150.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
139.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))
111.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
102.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize95.0ms

Local error

Found 4 expressions with local error:

60.3b
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))
4.4b
(/ (sqrt (+ a t)) (/ t z))
1.9b
(- (/ (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))

rewrite165.0ms

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
105.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))
38.0ms
(/ (sqrt (+ a t)) (/ t z))
12.0ms
(/ 2.0 (* t 3.0))
0.0ms
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

series444.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
308.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))
95.0ms
(/ (sqrt (+ a t)) (/ t z))
22.0ms
(/ 2.0 (* t 3.0))
19.0ms
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

simplify1.1m

Counts
569 → 421
Calls
569 calls:
Slowest
807.0ms
(- (* (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)))))
742.0ms
(- (* (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)))))
682.0ms
(- (* (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)))))
660.0ms
(- (* (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)) (* (/ 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 c))))
611.0ms
(fma (/ 1 (/ (sqrt t) (* (cbrt z) (cbrt z)))) (/ (sqrt (+ a t)) (/ (sqrt t) (cbrt z))) (- (* (- b c) (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)))))

prune16.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize145.0ms

Local error

Found 4 expressions with local error:

60.3b
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))
46.5b
(posit16->real (real->posit16 (- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))))
4.4b
(/ (sqrt (+ a t)) (/ t z))
1.9b
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
332×*-un-lft-identity
252×add-sqr-sqrt add-cube-cbrt
160×sqrt-prod
114×prod-diff
96×fma-neg
40×distribute-lft-out
25×div-inv
22×associate--r+
14×frac-sub
13×associate-/r*
11×distribute-rgt-in distribute-lft-in
9×flip3-- add-cbrt-cube add-exp-log flip--
8×frac-times
7×associate-/l*
6×frac-add add-log-exp
4×expm1-log1p-u pow1 flip3-+ associate-*l/ flip-+ insert-posit16 log1p-expm1-u
3×cbrt-undiv sub-neg div-exp associate-/r/
2×sqrt-div associate-*r/ remove-posit16 associate-/l/
1×clear-num frac-2neg diff-log
Counts
4 → 396
Calls
4 calls:
Slowest
105.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))
25.0ms
(/ (sqrt (+ a t)) (/ t z))
1.0ms
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))
0.0ms
(posit16->real (real->posit16 (- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))))

series790.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
384.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))
266.0ms
(posit16->real (real->posit16 (- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))))
120.0ms
(/ (sqrt (+ a t)) (/ t z))
20.0ms
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

simplify1.1m

Counts
558 → 408
Calls
558 calls:
Slowest
1.2s
(- (* (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)))))
865.0ms
(- (* (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)))))
712.0ms
(- (* (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)))))
662.0ms
(- (* (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)))))
630.0ms
(- (* (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)) (* (/ 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 c))))

prune20.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes876.0ms

Accuracy

0% (1.1b remaining)

Error of 1.5b against oracle of 0.3b and baseline of 1.5b

bsearch28.0ms

end0.0ms

sample6.7s

Algorithm
intervals
Results
3.0s7987×body80nan
2.9s8000×body80valid