Details

Time bar (total: 1.0m)

sample160.0ms

Algorithm
intervals
Results
61.0ms222×body80nan
53.0ms256×body80valid

simplify537.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
537.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize59.0ms

Local error

Found 4 expressions with local error:

4.3b
(/ (* z (sqrt (+ t a))) t)
3.4b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.3b
(/ 2.0 (* t 3.0))
0.3b
(* z (sqrt (+ t a)))

rewrite394.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-cbrt-cube add-exp-log
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
9×flip3-- flip--
8×frac-times associate-*r/
7×associate-*r*
6×pow1 times-frac associate--r+ add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv associate-/r* sqrt-div div-exp insert-posit16 associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
2×clear-num frac-2neg associate-*l/ associate--l+ div-inv unswap-sqr associate-/l/
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 105
Calls
4 calls:
Slowest
344.0ms
(* z (sqrt (+ t a)))
22.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
19.0ms
(/ (* z (sqrt (+ t a))) t)
6.0ms
(/ 2.0 (* t 3.0))

series557.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
290.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
130.0ms
(/ (* z (sqrt (+ t a))) t)
104.0ms
(* z (sqrt (+ t a)))
32.0ms
(/ 2.0 (* t 3.0))

simplify12.9s

Counts
91 → 117
Calls
91 calls:
Slowest
696.0ms
(- (* (* z (sqrt (+ t a))) (* (+ (* b b) (+ (* c c) (* b c))) (* (- a (/ 5.0 6.0)) (* t 3.0)))) (* t (* (- (pow b 3) (pow c 3)) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
646.0ms
(* t (* (+ (* b b) (+ (* c c) (* b c))) (+ (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (+ (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (* (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
616.0ms
(- (* (* z (sqrt (+ t a))) (+ (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (+ (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (* (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* t (* (- b c) (- (pow (+ a (/ 5.0 6.0)) 3) (pow (/ 2.0 (* t 3.0)) 3)))))
613.0ms
(- (* (* z (sqrt (+ t a))) (* (+ b c) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (* t 3.0)))) (* t (* (- (* b b) (* c c)) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (* t 3.0)) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) 2.0)))))
548.0ms
(- (* (* z (sqrt (+ t a))) (* (+ b c) (+ (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))) (* t (* (- (* b b) (* c c)) (- (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0)))))))

prune2.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize64.0ms

Local error

Found 4 expressions with local error:

3.4b
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.3b
(* z (/ (sqrt (+ t a)) t))
0.3b
(/ 2.0 (* t 3.0))
0.3b
(/ (sqrt (+ t a)) t)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
47×times-frac
45×add-sqr-sqrt
37×add-cube-cbrt
29×sqrt-prod
25×associate-*r*
20×frac-sub
19×associate-*r/
16×add-cbrt-cube add-exp-log
10×associate-/l*
9×flip3-- flip--
8×frac-times
7×distribute-lft-out
6×pow1 associate--r+ add-log-exp
4×cbrt-undiv associate-/r* flip3-+ div-exp flip-+ insert-posit16
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod div-inv unswap-sqr
2×clear-num frac-2neg sqrt-div associate-*l/ associate--l+ associate-/l/
1×diff-log pow-prod-down *-commutative
Counts
4 → 147
Calls
4 calls:
Slowest
41.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
24.0ms
(* z (/ (sqrt (+ t a)) t))
11.0ms
(/ (sqrt (+ t a)) t)
6.0ms
(/ 2.0 (* t 3.0))

series504.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
297.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
102.0ms
(* z (/ (sqrt (+ t a)) t))
86.0ms
(/ (sqrt (+ t a)) t)
18.0ms
(/ 2.0 (* t 3.0))

simplify14.4s

Counts
151 → 159
Calls
151 calls:
Slowest
1.1s
(- (* (* z (sqrt (+ t a))) (+ (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (+ (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (* (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))) (* t (* (- b c) (- (pow (+ a (/ 5.0 6.0)) 3) (pow (/ 2.0 (* t 3.0)) 3)))))
727.0ms
(- (* (* z (sqrt (+ t a))) (* (+ (* b b) (+ (* c c) (* b c))) (* (- a (/ 5.0 6.0)) (* t 3.0)))) (* t (* (- (pow b 3) (pow c 3)) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
626.0ms
(* t (* (+ (* b b) (+ (* c c) (* b c))) (+ (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (+ (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (* (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
592.0ms
(- (* (* z (sqrt (+ t a))) (* (+ b c) (+ (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))) (* t (* (- (* b b) (* c c)) (- (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0)))))))
577.0ms
(- (* (* z (sqrt (+ t a))) (* (+ b c) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (* t 3.0)))) (* t (* (- (* b b) (* c c)) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (* t 3.0)) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) 2.0)))))

prune3.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize101.0ms

Local error

Found 4 expressions with local error:

56.0b
(posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))
3.4b
(- (* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.3b
(* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))
0.3b
(/ 2.0 (* t 3.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×pow1 associate--r+ add-log-exp
4×insert-posit16
3×distribute-rgt-in sub-neg distribute-lft-in times-frac associate-*r* associate-*l* associate-/l*
2×cbrt-undiv div-exp prod-exp associate--l+ cbrt-unprod
1×clear-num associate-/r* frac-2neg flip3-- diff-log pow-prod-down *-commutative div-inv remove-posit16 flip-- unswap-sqr
Counts
4 → 69
Calls
4 calls:
Slowest
11.0ms
(* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))
8.0ms
(- (* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.0ms
(/ 2.0 (* t 3.0))
0.0ms
(posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))

series503.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
279.0ms
(- (* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
116.0ms
(* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))
69.0ms
(posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))
38.0ms
(/ 2.0 (* t 3.0))

simplify3.0s

Counts
42 → 81
Calls
42 calls:
Slowest
414.0ms
(/ (exp (* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))) (exp (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
340.0ms
(* (- (/ 2.0 (* t 3.0))) (- b c))
293.0ms
(* (- (/ 5.0 6.0) (/ 2.0 (* t 3.0))) (- b c))
274.0ms
(* (- b c) (- (/ 2.0 (* t 3.0))))
271.0ms
(* (- (/ 2.0 (* t 3.0))) (- b c))

prune2.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize112.0ms

Local error

Found 4 expressions with local error:

60.1b
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))
3.4b
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))
1.3b
(* z (/ (sqrt (+ t a)) t))
0.3b
(/ 2.0 (* t 3.0))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
27×*-un-lft-identity
26×times-frac
25×associate-*r*
21×add-cube-cbrt
14×add-cbrt-cube add-exp-log
13×sqrt-prod
11×associate-*r/
8×frac-sub
7×flip3-- flip--
6×pow1 associate--r+ add-log-exp
4×frac-times insert-posit16
3×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp associate-*l* prod-exp cbrt-unprod distribute-lft-out associate-/l* unswap-sqr
2×associate-*l/ associate--l+ div-inv
1×clear-num associate-/r* frac-2neg diff-log pow-prod-down *-commutative remove-posit16
Counts
4 → 104
Calls
4 calls:
Slowest
41.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))
16.0ms
(* z (/ (sqrt (+ t a)) t))
6.0ms
(/ 2.0 (* t 3.0))
1.0ms
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

series412.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
262.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))
102.0ms
(* z (/ (sqrt (+ t a)) t))
24.0ms
(/ 2.0 (* t 3.0))
24.0ms
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

simplify8.3s

Counts
85 → 116
Calls
85 calls:
Slowest
717.0ms
(* t (* (+ (* b b) (+ (* c c) (* b c))) (+ (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (+ (* (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))) (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (* (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))))
661.0ms
(- (* (* z (sqrt (+ t a))) (* (+ b c) (+ (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))))) (* t (* (- (* b b) (* c c)) (- (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (* (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))))
629.0ms
(- (* (* z (sqrt (+ t a))) (+ (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (+ (* (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))) (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))) (* (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))) (* t (* (- b c) (- (pow (+ a (/ 5.0 6.0)) 3) (pow (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))) 3)))))
437.0ms
(- (* (* z (sqrt (+ t a))) (+ (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))) (* t (* (- b c) (- (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (* (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))))
436.0ms
(/ (exp (* z (/ (sqrt (+ t a)) t))) (exp (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))))))

prune4.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes862.0ms

Accuracy

-9.8% (5.3b remaining)

Error of 5.7b against oracle of 0.4b and baseline of 5.2b

bsearch365.0ms

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.6s8003×body80nan
2.2s8000×body80valid