Details

Time bar (total: 2.3m)

sample230.0ms

Algorithm
intervals
Results
82.0ms265×body80nan
78.0ms256×body80valid

simplify570.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
569.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize89.0ms

Local error

Found 4 expressions with local error:

5.7b
(/ (* z (sqrt (+ t a))) t)
1.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.3b
(/ 2.0 (* t 3.0))
0.2b
(* z (sqrt (+ t a)))

rewrite84.0ms

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
29.0ms
(* z (sqrt (+ t a)))
23.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
19.0ms
(/ (* z (sqrt (+ t a))) t)
11.0ms
(/ 2.0 (* t 3.0))

series527.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
275.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
140.0ms
(/ (* z (sqrt (+ t a))) t)
84.0ms
(* z (sqrt (+ t a)))
28.0ms
(/ 2.0 (* t 3.0))

simplify13.9s

Counts
91 → 117
Calls
91 calls:
Slowest
1.1s
(* 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)))))))
764.0ms
(- (* (* 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)))))
695.0ms
(- (* (* 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)))))
647.0ms
(- (* (* 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)))))
622.0ms
(- (* (* 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)))))))

prune2.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize112.0ms

Local error

Found 4 expressions with local error:

1.6b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.9b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×frac-sub
58×times-frac
47×*-un-lft-identity
46×associate-*r*
39×frac-times
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
27×associate-*r/
25×flip3-- add-exp-log flip--
21×associate-*l/
18×add-cbrt-cube
10×unswap-sqr
9×flip3-+ flip-+
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out associate--r+ add-log-exp
4×insert-posit16
3×distribute-rgt-in sub-neg distribute-lft-in
2×pow1/3 associate--l+ div-inv
1×diff-log pow-prod-down *-commutative
Counts
4 → 173
Calls
4 calls:
Slowest
42.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
36.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
354.0ms
(cbrt t)
348.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
342.0ms
(cbrt t)
197.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify38.2s

Counts
197 → 185
Calls
197 calls:
Slowest
810.0ms
(+ (- (log z) (log (* (cbrt t) (cbrt t)))) (- (log (sqrt (+ t a))) (log (cbrt t))))
793.0ms
(* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0)))
781.0ms
(- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (+ b c) (+ (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))) (* (cbrt 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)))))))
762.0ms
(* (* (* (cbrt t) (cbrt t)) (cbrt 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)))))))
758.0ms
(- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (+ b c) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (* t 3.0)))) (* (cbrt 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)))))

prune4.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize102.0ms

Local error

Found 4 expressions with local error:

38.1b
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))
5.7b
(/ (* z (sqrt (+ t a))) t)
1.6b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))))
0.3b
(/ 2.0 (* t 3.0))

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
92×frac-sub
67×frac-times
49×cbrt-div
39×associate-*r/
37×associate-*l/
22×flip3-+ flip-+
21×flip3-- flip--
14×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×times-frac associate--r+ add-log-exp
4×pow1 cbrt-undiv associate-/r* div-exp insert-posit16 associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in
2×clear-num frac-2neg sqrt-div prod-exp associate--l+ cbrt-unprod div-inv associate-/l/
1×cbrt-prod pow1/3 diff-log pow3 rem-cbrt-cube
Counts
4 → 133
Calls
4 calls:
Slowest
121.0ms
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))
76.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))))
24.0ms
(/ (* z (sqrt (+ t a))) t)
6.0ms
(/ 2.0 (* t 3.0))

series794.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
573.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))))
112.0ms
(/ (* z (sqrt (+ t a))) t)
71.0ms
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))
37.0ms
(/ 2.0 (* t 3.0))

simplify45.7s

Counts
153 → 145
Calls
153 calls:
Slowest
1.0s
(* (- (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) (- b c))
972.0ms
(- (* (* z (sqrt (+ t a))) (* (+ b c) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (cbrt (* t 3.0))))) (* t (* (- (* b b) (* c c)) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (cbrt (* t 3.0))) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) 2.0)))))))
796.0ms
(- (* (* z (sqrt (+ t a))) (* (+ b c) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (cbrt (* (* t 3.0) (* t 3.0)))))) (* t (* (- (* b b) (* c c)) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (cbrt (* (* t 3.0) (* t 3.0)))) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (cbrt (* (* 2.0 (/ 2.0 (* t 3.0))) 2.0)))))))
745.0ms
(- (* (* z (sqrt (+ t a))) (* (+ b c) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (cbrt (* (* t 3.0) (* t 3.0)))))) (* t (* (- (* b b) (* c c)) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (cbrt (* (* t 3.0) (* t 3.0)))) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (cbrt (* (* (/ 2.0 (* t 3.0)) 2.0) 2.0)))))))
745.0ms
(- (* (* z (sqrt (+ t a))) (* (+ (* b b) (+ (* c c) (* b c))) (* (- a (/ 5.0 6.0)) (cbrt (* t 3.0))))) (* t (* (- (pow b 3) (pow c 3)) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (cbrt (* t 3.0))) (* (- a (/ 5.0 6.0)) (cbrt (* (* 2.0 (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))))))

prune4.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize110.0ms

Local error

Found 4 expressions with local error:

53.8b
(posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))))
1.6b
(- (posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.9b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
0.6b
(cbrt t)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
58×times-frac
46×*-un-lft-identity associate-*r*
34×add-cube-cbrt
28×cbrt-prod sqrt-prod
25×add-exp-log
18×add-cbrt-cube
10×unswap-sqr
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out associate--r+ add-log-exp
4×insert-posit16
3×distribute-rgt-in sub-neg distribute-lft-in
2×associate--l+ div-inv
1×frac-times flip3-- pow1/3 diff-log pow-prod-down associate-*l/ associate-*r/ *-commutative remove-posit16 flip--
Counts
4 → 128
Calls
4 calls:
Slowest
64.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
5.0ms
(- (posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.0ms
(cbrt t)
0.0ms
(posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))))

series863.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
314.0ms
(- (posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
264.0ms
(cbrt t)
151.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
133.0ms
(posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))))

simplify8.6s

Counts
111 → 140
Calls
111 calls:
Slowest
529.0ms
(/ (exp (posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))))) (exp (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
514.0ms
(+ (- (log z) (log (* (cbrt t) (cbrt t)))) (- (log (sqrt (+ t a))) (log (cbrt t))))
431.0ms
(+ (- (log z) (+ (log (cbrt t)) (log (cbrt t)))) (log (/ (sqrt (+ t a)) (cbrt t))))
398.0ms
(+ (log (/ z (* (cbrt t) (cbrt t)))) (- (log (sqrt (+ t a))) (log (cbrt t))))
398.0ms
(+ (- (log z) (log (* (cbrt t) (cbrt t)))) (log (/ (sqrt (+ t a)) (cbrt t))))

prune5.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes847.0ms

Accuracy

0% (1.8b remaining)

Error of 2.7b against oracle of 0.9b and baseline of 2.7b

bsearch19.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.7s8135×body80nan
2.7s8000×body80valid