Details

Time bar (total: 3.5m)

sample149.0ms

Algorithm
intervals
Results
65.0ms272×body80nan
50.0ms256×body80valid

simplify191.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
190.0ms
(/ 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

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize71.0ms

Local error

Found 4 expressions with local error:

4.9b
(/ (sqrt (+ a t)) (/ t z))
0.7b
(- (/ (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))

rewrite350.0ms

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
230.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
91.0ms
(- (/ (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))

series530.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
282.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
111.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
103.0ms
(/ (sqrt (+ a t)) (/ t z))
33.0ms
(/ 2.0 (* t 3.0))

simplify1.6m

Counts
625 → 471
Calls
625 calls:
Slowest
788.0ms
(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))))
757.0ms
(- (* (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)))))
734.0ms
(* (fma (- (cbrt c)) (* (cbrt c) (cbrt c)) (* (cbrt c) (* (cbrt c) (cbrt c)))) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)))
716.0ms
(/ (sqrt 1) (/ (* (cbrt t) (cbrt t)) (* (cbrt z) (cbrt z))))
651.0ms
(- (* (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)))))

prune11.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize147.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.5b
(cbrt z)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
Slowest
2.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt z)

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
276.0ms
(cbrt t)
271.0ms
(cbrt t)
262.0ms
(cbrt z)
234.0ms
(cbrt t)

simplify724.0ms

Counts
24 → 68
Calls
24 calls:
Slowest
163.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
148.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
131.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
116.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
31.0ms
(pow (/ 1 z) -1/3)

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

37.2b
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))
4.9b
(/ (sqrt (+ a t)) (/ t z))
0.7b
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))
0.3b
(/ 2.0 (* t 3.0))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
334×*-un-lft-identity
254×add-sqr-sqrt add-cube-cbrt
160×sqrt-prod
114×prod-diff
96×fma-neg
40×distribute-lft-out
26×div-inv
22×associate--r+
14×associate-/r* add-cbrt-cube add-exp-log frac-sub
13×frac-times
11×distribute-rgt-in distribute-lft-in
10×associate-/l*
9×flip3-- associate-*l/ flip--
7×cbrt-div
6×frac-add add-log-exp
5×cbrt-undiv div-exp associate-*r/
4×expm1-log1p-u pow1 flip3-+ flip-+ insert-posit16 log1p-expm1-u
3×sub-neg associate-/r/
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 → 418
Calls
4 calls:
Slowest
97.0ms
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))
83.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))
20.0ms
(/ (sqrt (+ a t)) (/ t z))
6.0ms
(/ 2.0 (* t 3.0))

series681.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
498.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c)))
89.0ms
(/ (sqrt (+ a t)) (/ t z))
75.0ms
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))
18.0ms
(/ 2.0 (* t 3.0))

simplify1.3m

Counts
577 → 430
Calls
577 calls:
Slowest
1.0s
(- (* (sqrt (+ a t)) (* (* (+ (* a a) (+ (* (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) (* a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))))) 6.0) (+ b c))) (* (/ t z) (* (+ (* (- (pow a 3) (pow (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))) 3)) 6.0) (* (+ (* a a) (+ (* (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) (* a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))))) 5.0)) (- (* b b) (* c c)))))
962.0ms
(- (* (sqrt (+ a t)) (* (* (+ a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) 6.0) (+ b c))) (* (/ t z) (* (+ (* (- (* a a) (* (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))) 6.0) (* (+ a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) 5.0)) (- (* b b) (* c c)))))
730.0ms
(- (* (sqrt (+ a t)) (* (+ (* a a) (+ (* (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) (* a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))))) 6.0)) (* (/ t z) (* (+ (* (- (pow a 3) (pow (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))) 3)) 6.0) (* (+ (* a a) (+ (* (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) (* a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))))) 5.0)) (- b c))))
643.0ms
(- (* (sqrt (+ a t)) (+ (* (- a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) (- a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* (- a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) (/ 5.0 6.0))))) (* (/ t z) (* (+ (pow (- a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) 3) (pow (/ 5.0 6.0) 3)) (- b c))))
595.0ms
(* (/ t z) (* (+ (* (- a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) (- a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* (- a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)))) (+ (* b b) (+ (* c c) (* b c)))))

prune11.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes634.0ms

Accuracy

0% (0.2b remaining)

Error of 1.4b against oracle of 1.3b and baseline of 1.4b

bsearch28.0ms

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.5s8000×body80valid
2.0s8224×body80nan