Details

Time bar (total: 7.2m)

sample140.0ms

Algorithm
intervals
Results
56.0ms256×body80valid
49.0ms254×body80nan

simplify214.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
214.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize72.0ms

Local error

Found 4 expressions with local error:

6.4b
(/ (sqrt (+ a t)) (/ t z))
2.1b
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
0.3b
(/ 2.0 (* t 3.0))
0.1b
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))

rewrite376.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
355×*-un-lft-identity
272×add-sqr-sqrt
268×add-cube-cbrt
160×sqrt-prod
132×prod-diff
96×fma-neg
42×distribute-lft-out
26×div-inv
22×distribute-rgt-in distribute-lft-in associate--r+
17×flip3-- flip--
16×frac-times add-cbrt-cube add-exp-log
14×associate-/r* frac-sub
12×frac-add
10×associate-/l*
8×associate-*l/
7×flip3-+ flip-+
6×pow1 add-log-exp
5×cbrt-undiv sub-neg div-exp associate-*r* associate-*l*
4×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u
3×associate-/r/
2×clear-num frac-2neg sqrt-div prod-exp cbrt-unprod distribute-lft-out-- associate-/l/
1×diff-log pow-prod-down *-commutative difference-of-squares unswap-sqr
Counts
4 → 459
Calls
4 calls:
Slowest
266.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
71.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
12.0ms
(/ (sqrt (+ a t)) (/ t z))
6.0ms
(/ 2.0 (* t 3.0))

series541.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
312.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
119.0ms
(/ (sqrt (+ a t)) (/ t z))
91.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
18.0ms
(/ 2.0 (* t 3.0))

simplify1.6m

Counts
625 → 471
Calls
625 calls:
Slowest
1.1s
(- (* (sqrt (+ a t)) (* (* (+ a (/ 2.0 (* t 3.0))) 6.0) (+ (* b b) (+ (* c c) (* b c))))) (* (/ t z) (* (+ (* (- (* a a) (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0)))) 6.0) (* (+ a (/ 2.0 (* t 3.0))) 5.0)) (- (pow b 3) (pow c 3)))))
702.0ms
(fma (- (- b c)) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (* (- b c) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0))))
688.0ms
(- (* (sqrt (+ a t)) (* (+ (* (- a (/ 2.0 (* t 3.0))) (- a (/ 2.0 (* t 3.0)))) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)))) (+ b c))) (* (/ t z) (* (+ (pow (- a (/ 2.0 (* t 3.0))) 3) (pow (/ 5.0 6.0) 3)) (- (* b b) (* c c)))))
662.0ms
(- (* (sqrt (+ a t)) (* (- (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (+ (* b b) (+ (* c c) (* b c))))) (* (/ t z) (* (- (* (- a (/ 2.0 (* t 3.0))) (- a (/ 2.0 (* t 3.0)))) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (pow b 3) (pow c 3)))))
598.0ms
(* (- (* (- a (/ 2.0 (* t 3.0))) (- a (/ 2.0 (* t 3.0)))) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- b c))

prune11.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

1.3b
(fma (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (- (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 53
Calls
4 calls:
Slowest
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
0.0ms
(fma (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (- (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))

series1.6s

Counts
4 → 12
Calls
4 calls:
Slowest
730.0ms
(fma (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (- (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
348.0ms
(cbrt z)
290.0ms
(cbrt z)
259.0ms
(cbrt z)

simplify723.0ms

Counts
21 → 65
Calls
21 calls:
Slowest
158.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
132.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
127.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))
98.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
88.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize115.0ms

Local error

Found 4 expressions with local error:

49.8b
(posit16->real (real->posit16 (- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))
6.4b
(real->posit16 (- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
6.4b
(/ (sqrt (+ a t)) (/ t z))
2.1b
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
331×*-un-lft-identity
251×add-sqr-sqrt add-cube-cbrt
160×sqrt-prod
114×prod-diff
96×fma-neg
40×distribute-lft-out
25×div-inv
22×associate--r+
14×frac-sub
13×associate-/r*
11×distribute-rgt-in distribute-lft-in
9×flip3-- flip--
8×frac-times add-cbrt-cube add-exp-log
7×associate-/l*
6×frac-add
5×add-log-exp
4×flip3-+ associate-*l/ flip-+
3×expm1-log1p-u pow1 cbrt-undiv sub-neg div-exp associate-/r/ insert-posit16 log1p-expm1-u
2×sqrt-div associate-*r/ associate-/l/
1×clear-num frac-2neg diff-log remove-posit16
Counts
4 → 385
Calls
4 calls:
Slowest
78.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
26.0ms
(/ (sqrt (+ a t)) (/ t z))
1.0ms
(posit16->real (real->posit16 (- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))
0.0ms
(real->posit16 (- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))

series720.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
318.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
282.0ms
(posit16->real (real->posit16 (- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))
119.0ms
(/ (sqrt (+ a t)) (/ t z))
0.0ms
(real->posit16 (- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))

simplify1.4m

Counts
555 → 395
Calls
555 calls:
Slowest
1.2s
(- (* (sqrt (+ a t)) (* (* (+ a (/ 2.0 (* t 3.0))) 6.0) (+ (* b b) (+ (* c c) (* b c))))) (* (/ t z) (* (+ (* (- (* a a) (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0)))) 6.0) (* (+ a (/ 2.0 (* t 3.0))) 5.0)) (- (pow b 3) (pow c 3)))))
764.0ms
(fma (- (- b c)) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (* (- b c) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0))))
702.0ms
(- (* (sqrt (+ a t)) (* (- (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (+ (* b b) (+ (* c c) (* b c))))) (* (/ t z) (* (- (* (- a (/ 2.0 (* t 3.0))) (- a (/ 2.0 (* t 3.0)))) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (pow b 3) (pow c 3)))))
702.0ms
(fma (- (- b c)) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (* (- b c) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0))))
624.0ms
(- (* (sqrt (+ a t)) (* (+ (* (- a (/ 2.0 (* t 3.0))) (- a (/ 2.0 (* t 3.0)))) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)))) (+ b c))) (* (/ t z) (* (+ (pow (- a (/ 2.0 (* t 3.0))) 3) (pow (/ 5.0 6.0) 3)) (- (* b b) (* c c)))))

prune16.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize113.0ms

Local error

Found 4 expressions with local error:

50.9b
(posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
6.4b
(/ (sqrt (+ a t)) (/ t z))
5.3b
(real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
2.1b
(- (/ (sqrt (+ a t)) (/ t z)) (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
785×times-frac
621×*-un-lft-identity
503×add-sqr-sqrt
487×add-cube-cbrt
288×prod-diff
266×sqrt-prod
96×fma-neg
66×distribute-lft-out
41×div-inv
13×associate-/r*
8×add-cbrt-cube add-exp-log
7×associate-/l*
5×associate-/r/ add-log-exp difference-of-squares
3×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u
2×sqrt-div associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log flip-+ remove-posit16 flip-- distribute-lft-out--
Counts
4 → 547
Calls
4 calls:
Slowest
62.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))
20.0ms
(/ (sqrt (+ a t)) (/ t z))
0.0ms
(posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
0.0ms
(real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))

series546.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
335.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))
133.0ms
(/ (sqrt (+ a t)) (/ t z))
78.0ms
(posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
0.0ms
(real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))

simplify3.3m

Counts
900 → 557
Calls
900 calls:
Slowest
937.0ms
(fma (- (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) 1 (* (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))) 1))
927.0ms
(fma (- (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) 1 (* (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))) 1))
836.0ms
(fma (- (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) 1 (* (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))) 1))
829.0ms
(fma (/ (sqrt 1) (/ (sqrt t) 1)) (/ (sqrt (+ a t)) (/ (sqrt t) z)) (- (* (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))) 1)))
692.0ms
(fma (- (sqrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))) (sqrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) (* (sqrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) (sqrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))))

prune14.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes519.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch15.0ms

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.0s8117×body80nan
1.9s8000×body80valid