Details

Time bar (total: 6.3m)

sample205.0ms

Algorithm
intervals
Results
90.0ms252×body80nan
71.0ms256×body80valid

simplify179.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
178.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))

prune52.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.9b

localize73.0ms

Local error

Found 4 expressions with local error:

3.8b
(/ (sqrt (+ a t)) (/ t z))
2.9b
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
0.8b
(/ 2.0 (* t 3.0))
0.1b
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))

rewrite428.0ms

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
297.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
69.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
29.0ms
(/ (sqrt (+ a t)) (/ t z))
6.0ms
(/ 2.0 (* t 3.0))

series494.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
293.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
93.0ms
(/ (sqrt (+ a t)) (/ t z))
75.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
32.0ms
(/ 2.0 (* t 3.0))

simplify1.6m

Counts
625 → 471
Calls
625 calls:
Slowest
810.0ms
(- (* (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)))))
755.0ms
(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))))
709.0ms
(* (/ t z) (* (+ (* (- 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)))
680.0ms
(- (* (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)))))
649.0ms
(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))))

prune11.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

1.5b
(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))))
0.8b
(/ 2.0 (* t 3.0))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×cbrt-prod
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv pow1/3 div-exp
1×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod fma-udef div-inv
Counts
4 → 63
Calls
4 calls:
Slowest
6.0ms
(/ 2.0 (* t 3.0))
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))))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
612.0ms
(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))))
280.0ms
(cbrt z)
278.0ms
(cbrt z)
31.0ms
(/ 2.0 (* t 3.0))

simplify1.1s

Counts
30 → 75
Calls
30 calls:
Slowest
204.0ms
(/ (* (* 2.0 2.0) 2.0) (* (* (* t 3.0) (* t 3.0)) (* t 3.0)))
157.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
144.0ms
(* (cbrt -1) (pow (* z -1) 1/3))
115.0ms
(/ (* (* 2.0 2.0) 2.0) (* (* (* t t) t) (* (* 3.0 3.0) 3.0)))
109.0ms
(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize120.0ms

Local error

Found 4 expressions with local error:

37.6b
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))
1.5b
(fma (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (- (* (+ (- a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c))))
0.8b
(/ 2.0 (* t 3.0))
0.8b
(/ 2.0 (* t 3.0))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×cbrt-div
6×times-frac associate-/l*
5×frac-times associate-*l/
4×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r/
2×clear-num associate-/r* frac-2neg prod-exp cbrt-unprod div-inv
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube fma-udef
Counts
4 → 79
Calls
4 calls:
Slowest
107.0ms
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))
6.0ms
(/ 2.0 (* t 3.0))
6.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (- (* (+ (- a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c))))

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
909.0ms
(fma (* (/ (cbrt z) (cbrt t)) (/ (cbrt z) (cbrt t))) (/ (sqrt (+ a t)) (/ (cbrt t) (cbrt z))) (- (* (+ (- a (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))) (/ 5.0 6.0)) (- b c))))
77.0ms
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))
33.0ms
(/ 2.0 (* t 3.0))
28.0ms
(/ 2.0 (* t 3.0))

simplify3.1s

Counts
44 → 91
Calls
44 calls:
Slowest
502.0ms
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) 2.0))
304.0ms
(cbrt (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))))
245.0ms
(cbrt (* (* 2.0 (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))
213.0ms
(cbrt (* (* 2.0 2.0) (/ 2.0 (* t 3.0))))
186.0ms
(/ (* (* 2.0 2.0) 2.0) (* (* (* t t) t) (* (* 3.0 3.0) 3.0)))

prune2.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize130.0ms

Local error

Found 4 expressions with local error:

50.3b
(posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
3.8b
(/ (sqrt (+ a t)) (/ t z))
2.9b
(- (/ (sqrt (+ a t)) (/ t z)) (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))
0.8b
(/ 2.0 (* t 3.0))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
788×times-frac
624×*-un-lft-identity
506×add-sqr-sqrt
490×add-cube-cbrt
288×prod-diff
266×sqrt-prod
96×fma-neg
66×distribute-lft-out
42×div-inv
14×associate-/r* add-cbrt-cube add-exp-log
10×associate-/l*
6×add-log-exp
5×cbrt-undiv div-exp associate-/r/ difference-of-squares
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
2×clear-num frac-2neg sqrt-div associate-/l/
1×sub-neg flip3-+ flip3-- diff-log prod-exp cbrt-unprod flip-+ remove-posit16 flip-- distribute-lft-out--
Counts
4 → 571
Calls
4 calls:
Slowest
74.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))
30.0ms
(/ (sqrt (+ a t)) (/ t z))
7.0ms
(/ 2.0 (* t 3.0))
1.0ms
(posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))

series525.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
306.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))
116.0ms
(posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
72.0ms
(/ (sqrt (+ a t)) (/ t z))
31.0ms
(/ 2.0 (* t 3.0))

simplify3.8m

Counts
915 → 583
Calls
915 calls:
Slowest
1.0s
(fma (/ 1 (/ (sqrt t) (* (cbrt z) (cbrt z)))) (/ (sqrt (+ a t)) (/ (sqrt t) (cbrt z))) (- (* (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))))))))
941.0ms
(fma (/ (sqrt (sqrt (+ a t))) (/ (sqrt t) (* (cbrt z) (cbrt z)))) (/ (sqrt (sqrt (+ a t))) (/ (sqrt t) (cbrt z))) (- (* (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))))))))
895.0ms
(fma (/ (sqrt (* (cbrt (+ a t)) (cbrt (+ a t)))) (/ (sqrt t) 1)) (/ (sqrt (cbrt (+ a t))) (/ (sqrt t) z)) (- (* (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))))))))
812.0ms
(fma (/ (sqrt (+ a t)) t) z (- (* (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))))))))
806.0ms
(fma (/ (sqrt 1) (/ 1 1)) (/ (sqrt (+ a t)) (/ t z)) (- (* (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))))))))

prune22.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes768.0ms

Accuracy

0% (0.7b remaining)

Error of 1.3b against oracle of 0.6b and baseline of 1.3b

bsearch19.0ms

end0.0ms

sample6.2s

Algorithm
intervals
Results
2.8s8000×body80valid
2.4s7881×body80nan