Details

Time bar (total: 7.4m)

sample210.0ms

Algorithm
intervals
Results
93.0ms265×body80nan
72.0ms256×body80valid

simplify184.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
183.0ms
(/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))))))))))

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize96.0ms

Local error

Found 4 expressions with local error:

5.1b
(/ (sqrt (+ a t)) (/ t z))
1.6b
(- (/ (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))

rewrite446.0ms

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))
106.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
36.0ms
(/ (sqrt (+ a t)) (/ t z))
12.0ms
(/ 2.0 (* t 3.0))

series491.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
310.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))
79.0ms
(* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))
78.0ms
(/ (sqrt (+ a t)) (/ t z))
24.0ms
(/ 2.0 (* t 3.0))

simplify1.6m

Counts
625 → 471
Calls
625 calls:
Slowest
811.0ms
(- (* (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)))))
773.0ms
(fma (sqrt (/ (sqrt (+ a t)) (/ t z))) (sqrt (/ (sqrt (+ a t)) (/ t z))) (- (* (- b c) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)))))
772.0ms
(fma (/ (sqrt (+ a t)) t) z (- (* (- b c) (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)))))
763.0ms
(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))))
737.0ms
(- (* (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)))))

prune11.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize113.0ms

Local error

Found 4 expressions with local error:

1.6b
(/ (sqrt (sqrt (+ a t))) (/ (cbrt t) z))
1.5b
(fma (/ (sqrt (sqrt (+ a t))) (/ (* (cbrt t) (cbrt t)) 1)) (/ (sqrt (sqrt (+ a t))) (/ (cbrt t) z)) (- (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
0.6b
(cbrt t)
0.6b
(cbrt t)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
418×times-frac
264×*-un-lft-identity
253×sqrt-prod
218×add-sqr-sqrt add-cube-cbrt
105×cbrt-prod
23×distribute-lft-out
22×associate-/r*
12×div-inv
10×associate-/l*
9×add-exp-log
8×add-cbrt-cube
4×expm1-log1p-u pow1 sqrt-div insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp
2×pow1/3 associate-/l/
1×clear-num frac-2neg flip3-+ associate-/r/ flip-+ fma-udef
Counts
4 → 311
Calls
4 calls:
Slowest
26.0ms
(/ (sqrt (sqrt (+ a t))) (/ (cbrt t) z))
1.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (/ (sqrt (sqrt (+ a t))) (/ (* (cbrt t) (cbrt t)) 1)) (/ (sqrt (sqrt (+ a t))) (/ (cbrt t) z)) (- (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))

series2.1s

Counts
4 → 12
Calls
4 calls:
Slowest
795.0ms
(fma (/ (sqrt (sqrt (+ a t))) (/ (* (cbrt t) (cbrt t)) 1)) (/ (sqrt (sqrt (+ a t))) (/ (cbrt t) z)) (- (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
756.0ms
(/ (sqrt (sqrt (+ a t))) (/ (cbrt t) z))
326.0ms
(cbrt t)
251.0ms
(cbrt t)

simplify23.9s

Counts
495 → 323
Calls
495 calls:
Slowest
489.0ms
(/ (* (cbrt (sqrt (sqrt (+ a t)))) (cbrt (sqrt (sqrt (+ a t))))) (/ (* (cbrt (cbrt t)) (cbrt (cbrt t))) (* (cbrt z) (cbrt z))))
445.0ms
(/ (* (* (sqrt (sqrt (+ a t))) (sqrt (sqrt (+ a t)))) (sqrt (sqrt (+ a t)))) (* (* (/ (cbrt t) z) (/ (cbrt t) z)) (/ (cbrt t) z)))
401.0ms
(/ (sqrt (sqrt (sqrt (+ a t)))) (/ (cbrt (* (cbrt t) (cbrt t))) (sqrt z)))
381.0ms
(/ (* (* (sqrt (sqrt (+ a t))) (sqrt (sqrt (+ a t)))) (sqrt (sqrt (+ a t)))) (/ t (* (* z z) z)))
366.0ms
(- (+ (* 1/4 (* (pow (pow t 2) 1/3) (* (pow (/ 1 (pow a 3)) 1/4) z))) (* (pow (/ 1 t) 1/3) (* (pow a 1/4) z))) (* 3/32 (* (pow (pow t 5) 1/3) (* (pow (/ 1 (pow a 7)) 1/4) z))))

prune9.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize101.0ms

Local error

Found 4 expressions with local error:

38.1b
(cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))
5.1b
(/ (sqrt (+ a t)) (/ t z))
1.6b
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))) (/ 5.0 6.0)) (- b c)))
0.4b
(/ (/ 2.0 3.0) t)

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
546×times-frac
374×*-un-lft-identity
294×add-sqr-sqrt add-cube-cbrt
160×sqrt-prod
114×prod-diff
96×fma-neg
40×distribute-lft-out
30×div-inv
22×associate--r+
20×associate-/l*
16×associate-/r*
14×add-cbrt-cube add-exp-log frac-sub
13×frac-times
11×distribute-rgt-in distribute-lft-in
9×flip3-- associate-*l/ flip--
7×cbrt-div
6×cbrt-undiv div-exp frac-add add-log-exp
5×associate-*r/
4×expm1-log1p-u pow1 flip3-+ flip-+ insert-posit16 log1p-expm1-u
3×sub-neg associate-/r/ associate-/l/
2×clear-num frac-2neg sqrt-div
1×cbrt-prod pow1/3 diff-log pow3 rem-cbrt-cube
Counts
4 → 467
Calls
4 calls:
Slowest
97.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))) (/ 5.0 6.0)) (- b c)))
80.0ms
(cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))
24.0ms
(/ (sqrt (+ a t)) (/ t z))
8.0ms
(/ (/ 2.0 3.0) t)

series634.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
454.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (* (+ (- a (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))) (/ 5.0 6.0)) (- b c)))
89.0ms
(/ (sqrt (+ a t)) (/ t z))
72.0ms
(cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))
19.0ms
(/ (/ 2.0 3.0) t)

simplify1.3m

Counts
661 → 479
Calls
661 calls:
Slowest
936.0ms
(- (* (sqrt (+ a t)) (* (* (+ (* a a) (+ (* (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t))) (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))) (* a (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))))) 6.0) (+ b c))) (* (/ t z) (* (+ (* (- (pow a 3) (pow (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t))) 3)) 6.0) (* (+ (* a a) (+ (* (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t))) (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))) (* a (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))))) 5.0)) (- (* b b) (* c c)))))
732.0ms
(- (* (sqrt (+ a t)) (* (* (+ a (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))) 6.0) (+ (* b b) (+ (* c c) (* b c))))) (* (/ t z) (* (+ (* (- (* a a) (* (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t))) (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t))))) 6.0) (* (+ a (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))) 5.0)) (- (pow b 3) (pow c 3)))))
701.0ms
(- (* (sqrt (+ a t)) (* (- (- a (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))) (/ 5.0 6.0)) (+ (* b b) (+ (* c c) (* b c))))) (* (/ t z) (* (- (* (- a (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))) (- a (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t))))) (* (/ 5.0 6.0) (/ 5.0 6.0))) (- (pow b 3) (pow c 3)))))
684.0ms
(- (* (sqrt (+ a t)) (* (+ (* (- a (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))) (- a (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t))))) (- (* (/ 5.0 6.0) (/ 5.0 6.0)) (* (- a (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))) (/ 5.0 6.0)))) (+ b c))) (* (/ t z) (* (+ (pow (- a (cbrt (* (* (/ (/ 2.0 3.0) t) (/ (/ 2.0 3.0) t)) (/ (/ 2.0 3.0) t)))) 3) (pow (/ 5.0 6.0) 3)) (- (* b b) (* c c)))))
637.0ms
(/ (/ (* (* 2.0 2.0) 2.0) (* (* 3.0 3.0) 3.0)) (* (* t t) t))

prune13.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize90.0ms

Local error

Found 4 expressions with local error:

53.3b
(posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
5.1b
(/ (sqrt (+ a t)) (/ t z))
1.6b
(- (/ (sqrt (+ a t)) (/ t z)) (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))
0.3b
(/ 2.0 (* t 3.0))

rewrite122.0ms

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
72.0ms
(- (/ (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))
8.0ms
(/ 2.0 (* t 3.0))
0.0ms
(posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))

series551.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
330.0ms
(- (/ (sqrt (+ a t)) (/ t z)) (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))
97.0ms
(/ (sqrt (+ a t)) (/ t z))
89.0ms
(posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))
34.0ms
(/ 2.0 (* t 3.0))

simplify3.2m

Counts
915 → 583
Calls
915 calls:
Slowest
989.0ms
(fma (/ (sqrt 1) (/ (sqrt t) (* (cbrt z) (cbrt z)))) (/ (sqrt (+ a t)) (/ (sqrt t) (cbrt z))) (- (* (cbrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) (* (cbrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) (cbrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))))))
853.0ms
(fma (/ (* (cbrt (sqrt (+ a t))) (cbrt (sqrt (+ a t)))) t) (/ (cbrt (sqrt (+ a t))) (/ 1 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))))))))
849.0ms
(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))
781.0ms
(fma (/ (sqrt (sqrt (+ a t))) (/ (sqrt t) 1)) (/ (sqrt (sqrt (+ a t))) (/ (sqrt t) z)) (- (* (cbrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) (* (cbrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) (cbrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))))))
721.0ms
(fma (- (cbrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))) (* (cbrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) (cbrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c)))))) (* (cbrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) (* (cbrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))) (cbrt (posit16->real (real->posit16 (* (+ (- a (/ 2.0 (* t 3.0))) (/ 5.0 6.0)) (- b c))))))))

prune14.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes464.0ms

Accuracy

0% (0.7b remaining)

Error of 1.5b against oracle of 0.8b and baseline of 1.5b

bsearch13.0ms

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.9s8135×body80nan
1.6s8000×body80valid