Details

Time bar (total: 6.5m)

sample206.0ms

Algorithm
intervals
Results
91.0ms256×body80valid
66.0ms242×body80nan

simplify179.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
179.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize71.0ms

Local error

Found 4 expressions with local error:

5.6b
(/ (sqrt (+ a t)) (/ t z))
1.9b
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
0.6b
(/ 2.0 (* t 3.0))
0.1b
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))

rewrite372.0ms

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
221.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
109.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
13.0ms
(/ (sqrt (+ a t)) (/ t z))
13.0ms
(/ 2.0 (* t 3.0))

series493.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
295.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
92.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
87.0ms
(/ (sqrt (+ a t)) (/ t z))
19.0ms
(/ 2.0 (* t 3.0))

simplify1.6m

Counts
625 → 471
Calls
625 calls:
Slowest
849.0ms
(/ (* (cbrt (sqrt (+ a t))) (cbrt (sqrt (+ a t)))) (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z))))
803.0ms
(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))))
743.0ms
(* (fma (- (sqrt c)) (sqrt c) (* (sqrt c) (sqrt c))) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)))
741.0ms
(- (* (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)))))
727.0ms
(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))))

prune11.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize99.0ms

Local error

Found 4 expressions with local error:

5.6b
(/ (sqrt (+ t a)) (/ t z))
1.9b
(- (/ (sqrt (+ t a)) (/ t z)) (* (+ (/ 5.0 6.0) (- a (/ 2.0 (* t 3.0)))) (- b c)))
1.6b
(log (exp (- (/ (sqrt (+ t a)) (/ t z)) (* (+ (/ 5.0 6.0) (- a (/ 2.0 (* t 3.0)))) (- b c)))))
0.6b
(/ 2.0 (* t 3.0))

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
628×times-frac
438×*-un-lft-identity
332×add-sqr-sqrt add-cube-cbrt
212×sqrt-prod
210×prod-diff
101×log-prod
98×exp-sum
96×fma-neg
53×distribute-lft-out
34×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×pow1 cbrt-undiv div-exp
4×expm1-log1p-u sub-neg flip3-+ associate-*l/ associate-/r/ log-pow flip-+ insert-posit16 log1p-expm1-u
3×exp-prod
2×clear-num frac-2neg sqrt-div associate-*r/ associate-/l/
1×log-div exp-diff diff-log rem-log-exp prod-exp cbrt-unprod
Counts
4 → 515
Calls
4 calls:
Slowest
120.0ms
(log (exp (- (/ (sqrt (+ t a)) (/ t z)) (* (+ (/ 5.0 6.0) (- a (/ 2.0 (* t 3.0)))) (- b c)))))
116.0ms
(- (/ (sqrt (+ t a)) (/ t z)) (* (+ (/ 5.0 6.0) (- a (/ 2.0 (* t 3.0)))) (- b c)))
13.0ms
(/ (sqrt (+ t a)) (/ t z))
7.0ms
(/ 2.0 (* t 3.0))

series883.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
389.0ms
(log (exp (- (/ (sqrt (+ t a)) (/ t z)) (* (+ (/ 5.0 6.0) (- a (/ 2.0 (* t 3.0)))) (- b c)))))
346.0ms
(- (/ (sqrt (+ t a)) (/ t z)) (* (+ (/ 5.0 6.0) (- a (/ 2.0 (* t 3.0)))) (- b c)))
108.0ms
(/ (sqrt (+ t a)) (/ t z))
39.0ms
(/ 2.0 (* t 3.0))

simplify1.7m

Counts
675 → 527
Calls
675 calls:
Slowest
1.1s
(- (* (sqrt (+ t a)) (* (* 6.0 (+ a (/ 2.0 (* t 3.0)))) (+ b c))) (* (/ t z) (* (+ (* 5.0 (+ a (/ 2.0 (* t 3.0)))) (* 6.0 (- (* a a) (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0)))))) (- (* b b) (* c c)))))
782.0ms
(fma (- (- b c)) (+ (/ 5.0 6.0) (- a (/ 2.0 (* t 3.0)))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* t 3.0))))))
743.0ms
(fma (- (- b c)) (+ (/ 5.0 6.0) (- a (/ 2.0 (* t 3.0)))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* t 3.0))))))
696.0ms
(- (* (sqrt (+ t a)) (* (- (/ 5.0 6.0) (- a (/ 2.0 (* t 3.0)))) (+ (* b b) (+ (* c c) (* b c))))) (* (/ t z) (* (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* (- a (/ 2.0 (* t 3.0))) (- a (/ 2.0 (* t 3.0))))) (- (pow b 3) (pow c 3)))))
674.0ms
(- (* (sqrt (+ t a)) (* 6.0 (+ (* a a) (+ (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (* a (/ 2.0 (* t 3.0))))))) (* (/ t z) (* (+ (* 5.0 (+ (* a a) (+ (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (* a (/ 2.0 (* t 3.0)))))) (* 6.0 (- (pow a 3) (pow (/ 2.0 (* t 3.0)) 3)))) (- b c))))

prune14.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

59.9b
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))
5.6b
(/ (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)))
0.6b
(/ 2.0 (* t 3.0))

rewrite97.0ms

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
60.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))
18.0ms
(/ (sqrt (+ a t)) (/ t z))
6.0ms
(/ 2.0 (* t 3.0))
0.0ms
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

series478.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
333.0ms
(- (/ (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))
27.0ms
(/ 2.0 (* t 3.0))
23.0ms
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

simplify1.1m

Counts
569 → 421
Calls
569 calls:
Slowest
813.0ms
(- (* (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)))))
798.0ms
(- (* (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)))))
714.0ms
(- (* (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)))))
623.0ms
(- (* (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)))))
616.0ms
(fma (- (- b c)) (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (* (- b c) (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0))))

prune17.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize126.0ms

Local error

Found 4 expressions with local error:

59.9b
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))
48.3b
(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)))))
5.6b
(/ (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)))

rewrite105.0ms

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
68.0ms
(- (/ (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))))
1.0ms
(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)))))

series760.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
335.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))
314.0ms
(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)))))
84.0ms
(/ (sqrt (+ a t)) (/ t z))
27.0ms
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

simplify59.4s

Counts
558 → 408
Calls
558 calls:
Slowest
1.1s
(- (* (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)))))
644.0ms
(fma (- (- b c)) (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (* (- b c) (+ (- a (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (/ 5.0 6.0))))
591.0ms
(- (* (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)))))
568.0ms
(- (* (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)))))
550.0ms
(- (* (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)))))

prune15.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes580.0ms

Accuracy

0% (1.9b remaining)

Error of 2.9b against oracle of 1.0b and baseline of 2.9b

bsearch8.0ms

end0.0ms

sample4.6s

Algorithm
intervals
Results
2.0s8000×body80valid
1.9s8059×body80nan