Details

Time bar (total: 2.2m)

sample205.0ms

Algorithm
intervals
Results
66.0ms256×body80valid
60.0ms242×body80nan

simplify535.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
534.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize63.0ms

Local error

Found 4 expressions with local error:

4.7b
(/ (* z (sqrt (+ t a))) t)
1.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.6b
(/ 2.0 (* t 3.0))
0.2b
(* z (sqrt (+ t a)))

rewrite63.0ms

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))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
14.0ms
(* z (sqrt (+ t a)))
12.0ms
(/ (* z (sqrt (+ t a))) t)
6.0ms
(/ 2.0 (* t 3.0))

series490.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
253.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
108.0ms
(* z (sqrt (+ t a)))
105.0ms
(/ (* z (sqrt (+ t a))) t)
24.0ms
(/ 2.0 (* t 3.0))

simplify13.5s

Counts
91 → 117
Calls
91 calls:
Slowest
746.0ms
(- (* (* 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)))))
682.0ms
(* 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)))))))
673.0ms
(- (* (* 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)))))
628.0ms
(- (* (* 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)))))))
623.0ms
(- (* (* z (sqrt (+ t a))) (* (+ (* 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))))))) (* t (* (- (pow b 3) (pow c 3)) (- (pow (+ a (/ 5.0 6.0)) 3) (pow (/ 2.0 (* t 3.0)) 3)))))

prune2.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize105.0ms

Local error

Found 4 expressions with local error:

1.9b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.7b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
0.7b
(cbrt t)
0.7b
(cbrt t)

rewrite85.0ms

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
43.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
37.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
369.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
280.0ms
(cbrt t)
275.0ms
(cbrt t)
149.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify39.2s

Counts
197 → 185
Calls
197 calls:
Slowest
892.0ms
(+ (- (log z) (log (* (cbrt t) (cbrt t)))) (log (/ (sqrt (+ t a)) (cbrt t))))
829.0ms
(- (* (* (/ 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)))))))
797.0ms
(- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (* (+ (* b b) (+ (* c c) (* b c))) (* (- a (/ 5.0 6.0)) (* t 3.0)))) (* (cbrt 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)))))
780.0ms
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (+ b c) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (* t 3.0)))) (* (* (cbrt t) (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)))))
773.0ms
(- (* (* z (sqrt (+ t a))) (* (+ b c) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (* t 3.0)))) (* (* (* (cbrt t) (cbrt t)) (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)))))

prune5.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize107.0ms

Local error

Found 4 expressions with local error:

1.9b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.7b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.6b
(log (exp (- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
0.7b
(cbrt t)

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
60×frac-sub
58×times-frac
48×*-un-lft-identity
46×associate-*r*
39×frac-times
36×add-cube-cbrt
28×cbrt-prod 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×pow1 cbrt-undiv div-exp associate-*l*
6×distribute-lft-out associate--r+ add-log-exp
5×log-prod
4×sub-neg log-pow insert-posit16
3×distribute-rgt-in exp-prod distribute-lft-in
2×exp-sum associate--l+ div-inv
1×log-div exp-diff pow1/3 diff-log rem-log-exp pow-prod-down *-commutative
Counts
4 → 180
Calls
4 calls:
Slowest
134.0ms
(log (exp (- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
55.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
46.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.0ms
(cbrt t)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
346.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
344.0ms
(log (exp (- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
294.0ms
(cbrt t)
170.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify41.7s

Counts
204 → 192
Calls
204 calls:
Slowest
1.1s
(- (* (* (/ 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)))))
845.0ms
(- (* (* z (/ (sqrt (+ t a)) (cbrt t))) (* (+ b c) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (* t 3.0)))) (* (* (cbrt t) (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)))))
810.0ms
(* (* (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)))))))
770.0ms
(- (* (* (/ 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)))))))
763.0ms
(* (* (* (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)))))))

prune5.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

59.9b
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))
4.7b
(/ (* z (sqrt (+ t a))) t)
1.9b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))
0.6b
(/ 2.0 (* t 3.0))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity frac-sub add-cube-cbrt
7×flip3-- flip--
6×times-frac associate--r+ add-log-exp
4×frac-times pow1 cbrt-undiv associate-/r* div-exp associate-*r/ insert-posit16 associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in
2×clear-num frac-2neg sqrt-div associate-*l/ prod-exp associate--l+ cbrt-unprod div-inv associate-/l/
1×flip3-+ diff-log flip-+ remove-posit16
Counts
4 → 82
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)))))))
23.0ms
(/ (* z (sqrt (+ t a))) t)
12.0ms
(/ 2.0 (* t 3.0))
0.0ms
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

series432.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
241.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))
137.0ms
(/ (* z (sqrt (+ t a))) t)
33.0ms
(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))
21.0ms
(/ 2.0 (* t 3.0))

simplify8.1s

Counts
61 → 94
Calls
61 calls:
Slowest
741.0ms
(* 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)))))))))
616.0ms
(- (* (* 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)))))
585.0ms
(- (* (* 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)))))))))
434.0ms
(* 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))))) (* (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))))
433.0ms
(/ (exp (/ (* z (sqrt (+ t a))) t)) (exp (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0))))))))

prune2.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes685.0ms

Accuracy

0% (1.7b remaining)

Error of 2.6b against oracle of 0.9b and baseline of 2.6b

bsearch24.0ms

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.6s8000×body80valid
2.4s8059×body80nan