Details

Time bar (total: 8.9m)

sample175.0ms

Algorithm
intervals
Results
71.0ms238×body80nan
59.0ms256×body80valid

simplify512.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
511.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize67.0ms

Local error

Found 4 expressions with local error:

5.5b
(/ (* z (sqrt (+ t a))) t)
2.6b
(- (/ (* 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)))

rewrite94.0ms

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
49.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
23.0ms
(/ (* z (sqrt (+ t a))) t)
14.0ms
(* z (sqrt (+ t a)))
6.0ms
(/ 2.0 (* t 3.0))

series552.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
287.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
135.0ms
(/ (* z (sqrt (+ t a))) t)
97.0ms
(* z (sqrt (+ t a)))
33.0ms
(/ 2.0 (* t 3.0))

simplify13.4s

Counts
91 → 117
Calls
91 calls:
Slowest
828.0ms
(/ (exp (/ (* z (sqrt (+ t a))) t)) (exp (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))
757.0ms
(- (* (* 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)))))
652.0ms
(* 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)))))))
630.0ms
(- (* (* 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)))))
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)))))))

prune2.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize86.0ms

Local error

Found 4 expressions with local error:

2.6b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.4b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite135.0ms

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
70.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
52.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
2.0ms
(cbrt t)
2.0ms
(cbrt t)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
327.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
303.0ms
(cbrt t)
278.0ms
(cbrt t)
168.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify39.5s

Counts
197 → 185
Calls
197 calls:
Slowest
931.0ms
(- (* (* 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)))))
854.0ms
(- (* (* z (sqrt (+ t a))) (+ (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))) (* (* (* (cbrt t) (cbrt t)) (cbrt t)) (* (- b c) (- (* (+ a (/ 5.0 6.0)) (+ a (/ 5.0 6.0))) (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0)))))))
789.0ms
(* (* (* (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)))))))
786.0ms
(- (* (* 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)))))
776.0ms
(* (* (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)))))))

prune5.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize157.0ms

Local error

Found 4 expressions with local error:

53.9b
(posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))))
2.6b
(- (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)))))
1.4b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
0.6b
(cbrt t)

rewrite77.0ms

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
62.0ms
(* (/ 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)
1.0ms
(posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))))

series972.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
321.0ms
(- (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)))))
288.0ms
(cbrt t)
182.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
181.0ms
(posit16->real (real->posit16 (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))))

simplify8.6s

Counts
111 → 140
Calls
111 calls:
Slowest
491.0ms
(/ (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))))))
437.0ms
(+ (- (log z) (+ (log (cbrt t)) (log (cbrt t)))) (- (log (sqrt (+ t a))) (log (cbrt t))))
427.0ms
(+ (- (log z) (log (* (cbrt t) (cbrt t)))) (log (/ (sqrt (+ t a)) (cbrt t))))
424.0ms
(+ (- (log z) (log (* (cbrt t) (cbrt t)))) (- (log (sqrt (+ t a))) (log (cbrt t))))
388.0ms
(* (/ (* (* z z) z) (* (* (* (cbrt t) (cbrt t)) (* (cbrt t) (cbrt t))) (* (cbrt t) (cbrt t)))) (* (* (/ (sqrt (+ t a)) (cbrt t)) (/ (sqrt (+ t a)) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

prune5.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize527.0ms

Local error

Found 4 expressions with local error:

26.1b
(/ (- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) (* (/ z (cbrt t)) (sqrt (+ t a)))) (* (* (* (cbrt t) (cbrt t)) (- b c)) (* (- a (/ 5.0 6.0)) (- (* (* t 3.0) (+ (/ 5.0 6.0) a)) 2.0)))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))
7.1b
(- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) (* (/ z (cbrt t)) (sqrt (+ t a)))) (* (* (* (cbrt t) (cbrt t)) (- b c)) (* (- a (/ 5.0 6.0)) (- (* (* t 3.0) (+ (/ 5.0 6.0) a)) 2.0))))
4.4b
(* (/ z (cbrt t)) (sqrt (+ t a)))
3.8b
(* (* (- a (/ 5.0 6.0)) (* t 3.0)) (* (/ z (cbrt t)) (sqrt (+ t a))))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
1802×frac-times
1679×associate-*r/
1243×flip3-- flip--
1188×associate-*l/
884×frac-sub
640×sqrt-div
446×associate-/l/
320×flip3-+ flip-+
74×add-exp-log
64×add-cbrt-cube
41×prod-exp cbrt-unprod
37×add-sqr-sqrt
27×pow1
25×times-frac
23×*-un-lft-identity associate-*l*
21×add-cube-cbrt
20×distribute-rgt-in distribute-lft-in
16×pow-prod-down associate--r+
11×cbrt-prod cbrt-undiv div-exp
8×associate-*r* associate--l+
7×sqrt-prod
6×add-log-exp unswap-sqr
5×sub-neg
4×insert-posit16 sub-div
3×associate-/l*
2×associate-/r/ *-commutative div-inv
1×clear-num associate-/r* frac-2neg diff-log div-sub distribute-lft-out
Counts
4 → 1060
Calls
4 calls:
Slowest
797.0ms
(/ (- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) (* (/ z (cbrt t)) (sqrt (+ t a)))) (* (* (* (cbrt t) (cbrt t)) (- b c)) (* (- a (/ 5.0 6.0)) (- (* (* t 3.0) (+ (/ 5.0 6.0) a)) 2.0)))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))
419.0ms
(- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) (* (/ z (cbrt t)) (sqrt (+ t a)))) (* (* (* (cbrt t) (cbrt t)) (- b c)) (* (- a (/ 5.0 6.0)) (- (* (* t 3.0) (+ (/ 5.0 6.0) a)) 2.0))))
105.0ms
(* (* (- a (/ 5.0 6.0)) (* t 3.0)) (* (/ z (cbrt t)) (sqrt (+ t a))))
36.0ms
(* (/ z (cbrt t)) (sqrt (+ t a)))

series5.5s

Counts
4 → 12
Calls
4 calls:
Slowest
2.5s
(/ (- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) (* (/ z (cbrt t)) (sqrt (+ t a)))) (* (* (* (cbrt t) (cbrt t)) (- b c)) (* (- a (/ 5.0 6.0)) (- (* (* t 3.0) (+ (/ 5.0 6.0) a)) 2.0)))) (* (* (cbrt t) (cbrt t)) (* (- a (/ 5.0 6.0)) (* t 3.0))))
2.3s
(- (* (* (- a (/ 5.0 6.0)) (* t 3.0)) (* (/ z (cbrt t)) (sqrt (+ t a)))) (* (* (* (cbrt t) (cbrt t)) (- b c)) (* (- a (/ 5.0 6.0)) (- (* (* t 3.0) (+ (/ 5.0 6.0) a)) 2.0))))
415.0ms
(* (* (- a (/ 5.0 6.0)) (* t 3.0)) (* (/ z (cbrt t)) (sqrt (+ t a))))
307.0ms
(* (/ z (cbrt t)) (sqrt (+ t a)))

simplify6.9m

Counts
1493 → 1072
Calls
1493 calls:
Slowest
1.5s
(* (* (+ (* a a) (+ (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (* (cbrt t) (sqrt (+ (* t t) (- (* a a) (* t a)))))) (* (+ (* b b) (+ (* c c) (* b c))) (* (+ (* a a) (+ (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (+ (* (* t 3.0) (+ (/ 5.0 6.0) a)) 2.0))))
1.4s
(* (* (+ (* a a) (+ (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (sqrt (+ (* t t) (- (* a a) (* t a))))) (* (+ (* b b) (+ (* c c) (* b c))) (* (+ (* a a) (+ (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (+ (* (* t 3.0) (+ (/ 5.0 6.0) a)) 2.0))))
1.3s
(* (* (+ (* a a) (+ (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (* (cbrt t) (sqrt (+ (* t t) (- (* a a) (* t a)))))) (* (+ b c) (* (+ (* a a) (+ (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (+ (* (* t 3.0) (+ (/ 5.0 6.0) a)) 2.0))))
1.2s
(* (* (+ a (/ 5.0 6.0)) (* (cbrt t) (sqrt (+ (* t t) (- (* a a) (* t a)))))) (* (+ (* b b) (+ (* c c) (* b c))) (* (+ (* a a) (+ (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (+ (* (* t 3.0) (+ (/ 5.0 6.0) a)) 2.0))))
1.1s
(* (* (+ (* a a) (+ (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (* (cbrt t) (sqrt (- t a)))) (* (+ (* b b) (+ (* c c) (* b c))) (* (+ (* a a) (+ (* (/ 5.0 6.0) (/ 5.0 6.0)) (* a (/ 5.0 6.0)))) (+ (* (* t 3.0) (+ (/ 5.0 6.0) a)) 2.0))))

prune33.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes452.0ms

Accuracy

50.4% (1.2b remaining)

Error of 1.8b against oracle of 0.6b and baseline of 3.0b

bsearch412.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.7s8000×body80valid
1.4s7864×body80nan