Details

Time bar (total: 2.9m)

sample145.0ms

Algorithm
intervals
Results
57.0ms222×body80nan
49.0ms256×body80valid

simplify553.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
552.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.2b

localize66.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ (sqrt (+ a t)) (/ t z))
2.8b
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
0.2b
(/ 2.0 (* t 3.0))
0.1b
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))

rewrite424.0ms

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
259.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
113.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
26.0ms
(/ (sqrt (+ a t)) (/ t z))
12.0ms
(/ 2.0 (* t 3.0))

series507.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
281.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
110.0ms
(/ (sqrt (+ a t)) (/ t z))
98.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
18.0ms
(/ 2.0 (* t 3.0))

simplify2.2m

Counts
709 → 471
Calls
709 calls:
Slowest
1.0s
(- (* (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)))))
760.0ms
(- (* (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)))))
722.0ms
(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))))
721.0ms
(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))))
664.0ms
(* (- (* (- a (/ 2.0 (* t 3.0))) (- a (/ 2.0 (* t 3.0)))) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- b c))

prune11.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize119.0ms

Local error

Found 4 expressions with local error:

1.0b
(fma (/ 1 (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z)))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (- c b) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0))))
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)

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 t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(fma (/ 1 (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z)))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (- c b) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
584.0ms
(fma (/ 1 (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z)))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (- c b) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0))))
297.0ms
(cbrt t)
283.0ms
(cbrt t)
232.0ms
(cbrt t)

simplify4.1s

Counts
71 → 65
Calls
71 calls:
Slowest
570.0ms
(sqrt (fma (/ 1 (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z)))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (- c b) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)))))
539.0ms
(* (/ 1 (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z)))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))))
252.0ms
(* (cbrt (fma (/ 1 (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z)))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (- c b) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0))))) (cbrt (fma (/ 1 (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z)))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (- c b) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0))))))
239.0ms
(* (* (fma (/ 1 (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z)))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (- c b) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)))) (fma (/ 1 (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z)))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (- c b) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0))))) (fma (/ 1 (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z)))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (- c b) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)))))
224.0ms
(sqrt (fma (/ 1 (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z)))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (- c b) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)))))

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize99.0ms

Local error

Found 4 expressions with local error:

2.4b
(fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z)))))
0.9b
(log (exp (fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z)))))))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×cbrt-prod
5×pow1
4×expm1-log1p-u log-prod add-cbrt-cube add-exp-log log-pow insert-posit16 log1p-expm1-u add-log-exp
3×exp-prod
2×pow1/3 fma-udef
1×rem-log-exp exp-sum
Counts
4 → 58
Calls
4 calls:
Slowest
5.0ms
(log (exp (fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z)))))))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
289.0ms
(cbrt t)
251.0ms
(cbrt t)
246.0ms
(log (exp (fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z)))))))
234.0ms
(fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z)))))

simplify13.7s

Counts
77 → 70
Calls
77 calls:
Slowest
523.0ms
(cbrt (log (exp (fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z))))))))
514.0ms
(log (exp (* (cbrt (fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z)))))) (cbrt (fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z)))))))))
472.0ms
(* (cbrt (log (exp (fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z)))))))) (cbrt (log (exp (fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z)))))))))
449.0ms
(sqrt (log (exp (fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z))))))))
446.0ms
(log (log (exp (fma (- c b) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (/ (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (* (/ (cbrt t) (cbrt z)) (/ (cbrt t) (cbrt z))))))))

prune2.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes457.0ms

Accuracy

0% (1.2b remaining)

Error of 1.4b against oracle of 0.2b and baseline of 1.4b

bsearch9.0ms

end0.0ms

sample6.3s

Algorithm
intervals
Results
3.0s8000×body80valid
2.3s8041×body80nan