Details

Time bar (total: 3.6m)

sample172.0ms

Algorithm
intervals
Results
78.0ms287×body80nan
51.0ms256×body80valid

simplify186.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
185.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))

prune34.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize79.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (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))

rewrite308.0ms

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
207.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
60.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
15.0ms
(/ (sqrt (+ a t)) (/ t z))
12.0ms
(/ 2.0 (* t 3.0))

series465.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
288.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
82.0ms
(/ (sqrt (+ a t)) (/ t z))
77.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
18.0ms
(/ 2.0 (* t 3.0))

simplify2.3m

Counts
709 → 471
Calls
709 calls:
Slowest
1.1s
(- (* (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)))))
769.0ms
(- (* (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)))))
738.0ms
(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))))
733.0ms
(* (fma (* (cbrt b) (cbrt b)) (cbrt b) (- (* (sqrt c) (sqrt c)))) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)))
681.0ms
(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))))

prune11.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

1.3b
(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)
0.0ms
(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))))

series1.5s

Counts
4 → 12
Calls
4 calls:
Slowest
591.0ms
(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))))
344.0ms
(cbrt t)
304.0ms
(cbrt t)
292.0ms
(cbrt t)

simplify4.2s

Counts
71 → 65
Calls
71 calls:
Slowest
686.0ms
(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)))))
548.0ms
(* (/ 1 (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z)))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))))
248.0ms
(* (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))))))
230.0ms
(log1p (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)))))
226.0ms
(* (* (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)))))

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize127.0ms

Local error

Found 4 expressions with local error:

2.4b
(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)))))))
1.6b
(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)

rewrite6.0ms

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
3.0ms
(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)
0.0ms
(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)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
283.0ms
(cbrt t)
281.0ms
(cbrt t)
267.0ms
(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)))))
247.0ms
(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)))))))

simplify14.5s

Counts
77 → 70
Calls
77 calls:
Slowest
545.0ms
(expm1 (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))))))))
545.0ms
(log (* (cbrt (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 (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)))))))))
495.0ms
(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))))))))
482.0ms
(exp (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))))))))
477.0ms
(log1p (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))))))))

prune1.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

3.2b
(fma (/ (sqrt (sqrt (+ a t))) t) (/ (sqrt (sqrt (+ a t))) (/ 1 z)) (* (- c b) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0))))
0.3b
(/ (sqrt (sqrt (+ a t))) (/ 1 z))
0.3b
(/ 2.0 (* t 3.0))
0.3b
(/ (sqrt (sqrt (+ a t))) t)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
262×times-frac
198×sqrt-prod
184×*-un-lft-identity
148×add-sqr-sqrt add-cube-cbrt
23×associate-/l*
20×add-exp-log
18×distribute-lft-out
17×associate-/r*
16×add-cbrt-cube
14×div-inv
9×div-exp
8×sqrt-div
6×cbrt-undiv
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp associate-/l/
3×clear-num frac-2neg
2×flip3-+ flip-+
1×rec-exp 1-exp prod-exp associate-/r/ cbrt-unprod fma-udef
Counts
4 → 270
Calls
4 calls:
Slowest
29.0ms
(/ (sqrt (sqrt (+ a t))) (/ 1 z))
24.0ms
(/ (sqrt (sqrt (+ a t))) t)
12.0ms
(/ 2.0 (* t 3.0))
1.0ms
(fma (/ (sqrt (sqrt (+ a t))) t) (/ (sqrt (sqrt (+ a t))) (/ 1 z)) (* (- c b) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
523.0ms
(fma (/ (sqrt (sqrt (+ a t))) t) (/ (sqrt (sqrt (+ a t))) (/ 1 z)) (* (- c b) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0))))
429.0ms
(/ (sqrt (sqrt (+ a t))) (/ 1 z))
253.0ms
(/ (sqrt (sqrt (+ a t))) t)
37.0ms
(/ 2.0 (* t 3.0))

simplify28.3s

Counts
448 → 282
Calls
448 calls:
Slowest
1.1s
(* (* (/ (sqrt (sqrt (+ a t))) (/ 1 z)) (/ (sqrt (sqrt (+ a t))) (/ 1 z))) (/ (sqrt (sqrt (+ a t))) (/ 1 z)))
513.0ms
(log1p (fma (/ (sqrt (sqrt (+ a t))) t) (/ (sqrt (sqrt (+ a t))) (/ 1 z)) (* (- c b) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)))))
510.0ms
(/ (* (* (sqrt (sqrt (+ a t))) (sqrt (sqrt (+ a t)))) (sqrt (sqrt (+ a t)))) (* (* t t) t))
492.0ms
(* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))
486.0ms
(expm1 (fma (/ (sqrt (sqrt (+ a t))) t) (/ (sqrt (sqrt (+ a t))) (/ 1 z)) (* (- c b) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)))))

prune7.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes629.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch11.0ms

end0.0ms

sample6.6s

Algorithm
intervals
Results
2.8s8000×body80valid
2.2s8047×body80nan