Details

Time bar (total: 2.3m)

sample198.0ms

Algorithm
intervals
Results
80.0ms256×body80valid
68.0ms272×body80nan

simplify601.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
601.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize85.0ms

Local error

Found 4 expressions with local error:

6.3b
(/ (* z (sqrt (+ t a))) t)
0.7b
(- (/ (* 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)))

rewrite99.0ms

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
55.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
17.0ms
(/ (* z (sqrt (+ t a))) t)
14.0ms
(* z (sqrt (+ t a)))
11.0ms
(/ 2.0 (* t 3.0))

series506.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
280.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
111.0ms
(/ (* z (sqrt (+ t a))) t)
95.0ms
(* z (sqrt (+ t a)))
21.0ms
(/ 2.0 (* t 3.0))

simplify13.3s

Counts
91 → 117
Calls
91 calls:
Slowest
742.0ms
(- (* (* 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)))))
633.0ms
(- (* (* 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)))))
618.0ms
(- (* (* 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)))))))
582.0ms
(- (* (* 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)))))
557.0ms
(* 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)))))))

prune3.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
0.7b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite96.0ms

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
58.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
30.0ms
(- (* (/ 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)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
362.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
287.0ms
(cbrt t)
270.0ms
(cbrt t)
145.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify39.8s

Counts
197 → 185
Calls
197 calls:
Slowest
858.0ms
(- (* (* (/ z (* (cbrt t) (cbrt t))) (sqrt (+ t a))) (+ (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))) (* (cbrt t) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0)))))))
831.0ms
(- (* (* (/ 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)))))
816.0ms
(- (* (* 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)))))
792.0ms
(* (* (* (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)))))))
769.0ms
(- (* (* 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)))))

prune4.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize94.0ms

Local error

Found 4 expressions with local error:

37.2b
(cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))
6.3b
(/ (* z (sqrt (+ t a))) t)
0.7b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t))))))
0.4b
(/ (/ 2.0 3.0) t)

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
92×frac-sub
78×times-frac
67×frac-times
49×cbrt-div
48×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
39×associate-*r/
37×associate-*l/
22×flip3-+ flip-+
21×flip3-- flip--
14×add-cbrt-cube add-exp-log associate-/l*
6×associate-/r* div-inv associate--r+ add-log-exp
5×cbrt-undiv div-exp
4×pow1 insert-posit16
3×distribute-rgt-in sub-neg distribute-lft-in associate-/l/
2×clear-num frac-2neg sqrt-div associate--l+
1×cbrt-prod pow1/3 diff-log pow3 prod-exp rem-cbrt-cube cbrt-unprod
Counts
4 → 182
Calls
4 calls:
Slowest
65.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t))))))
63.0ms
(cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))
22.0ms
(/ (* z (sqrt (+ t a))) t)
14.0ms
(/ (/ 2.0 3.0) t)

series635.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
418.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t))))))
119.0ms
(/ (* z (sqrt (+ t a))) t)
65.0ms
(cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))
33.0ms
(/ (/ 2.0 3.0) t)

simplify47.4s

Counts
237 → 194
Calls
237 calls:
Slowest
916.0ms
(- (* (* z (sqrt (+ t a))) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (cbrt (* t t)))) (* t (* (- b c) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (cbrt (* t t))) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (cbrt (* (* (/ 2.0 3.0) (/ 2.0 3.0)) (/ (/ 2.0 3.0) t))))))))
810.0ms
(- (* (* z (sqrt (+ t a))) (* (+ b c) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (cbrt (* t t))))) (* t (* (- (* b b) (* c c)) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (cbrt (* t t))) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (cbrt (* (* (/ 2.0 3.0) (/ (/ 2.0 3.0) t)) (/ 2.0 3.0))))))))
772.0ms
(- (* (* z (sqrt (+ t a))) (* (+ (* b b) (+ (* c c) (* b c))) (* (- a (/ 5.0 6.0)) (cbrt t)))) (* t (* (- (pow b 3) (pow c 3)) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (cbrt t)) (* (- a (/ 5.0 6.0)) (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ 2.0 3.0))))))))
769.0ms
(- (* (* z (sqrt (+ t a))) (* (+ (* b b) (+ (* c c) (* b c))) (* (- a (/ 5.0 6.0)) (cbrt t)))) (* t (* (- (pow b 3) (pow c 3)) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (cbrt t)) (* (- a (/ 5.0 6.0)) (cbrt (* (* (/ 2.0 3.0) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t))))))))
763.0ms
(- (* (* z (sqrt (+ t a))) (* (+ b c) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (cbrt t)))) (* t (* (- (* b b) (* c c)) (- (* (+ (pow a 3) (pow (/ 5.0 6.0) 3)) (cbrt t)) (* (+ (* a a) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (cbrt (* (* (/ (/ 2.0 3.0) t) (/ 2.0 3.0)) (/ (/ 2.0 3.0) t))))))))

prune5.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize98.0ms

Local error

Found 4 expressions with local error:

54.4b
(posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))))
1.1b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
0.7b
(- (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)))))
0.6b
(cbrt t)

rewrite78.0ms

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
61.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
11.0ms
(- (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)))))

series968.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
329.0ms
(- (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)))))
323.0ms
(cbrt t)
160.0ms
(posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))))
156.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify9.0s

Counts
111 → 140
Calls
111 calls:
Slowest
660.0ms
(* (- (/ 2.0 (* t 3.0))) (- b c))
556.0ms
(+ (- (log z) (log (* (cbrt t) (cbrt t)))) (log (/ (sqrt (+ t a)) (cbrt t))))
462.0ms
(+ (- (log z) (log (* (cbrt t) (cbrt t)))) (- (log (sqrt (+ t a))) (log (cbrt t))))
428.0ms
(+ (- (log z) (+ (log (cbrt t)) (log (cbrt t)))) (- (log (sqrt (+ t a))) (log (cbrt t))))
415.0ms
(/ (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))))))

prune5.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes624.0ms

Accuracy

0% (1.1b remaining)

Error of 2.9b against oracle of 1.8b and baseline of 2.9b

bsearch17.0ms

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.7s8224×body80nan
2.3s8000×body80valid