Details

sample1.7s

Algorithm

intervals

Results

729.0ms	101×	body	10240	exit
385.0ms	110×	body	1280	valid
192.0ms	85×	body	640	valid
132.0ms	51×	body	1280	nan
84.0ms	43×	body	640	nan
40.0ms	9×	body	80	valid
38.0ms	30×	body	320	valid
18.0ms	15×	body	320	nan
17.0ms	23×	body	160	valid
10.0ms	11×	body	160	nan
3.0ms	9×	body	80	nan

simplify218.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

218.0ms

(* (* (* (sqrt (* PI 2)) (pow (+ (+ (- z 1) 7) 0.5) (+ (- z 1) 0.5))) (exp (- (+ (+ (- z 1) 7) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- z 1) 1))) (/ -1259.1392167224028 (+ (- z 1) 2))) (/ 771.3234287776531 (+ (- z 1) 3))) (/ -176.6150291621406 (+ (- z 1) 4))) (/ 12.507343278686905 (+ (- z 1) 5))) (/ -0.13857109526572012 (+ (- z 1) 6))) (/ 9.984369578019572e-06 (+ (- z 1) 7))) (/ 1.5056327351493116e-07 (+ (- z 1) 8))))

prune55.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize134.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))
1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))

rewrite822.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`associate-l`
20×	`add-sqr-sqrt`
14×	`unpow-prod-down` `add-exp-log`
10×	`pow1` `add-cube-cbrt` `distribute-lft-out`
8×	`add-cbrt-cube` `associate-r`
6×	`prod-exp` `unswap-sqr`
4×	`expm1-log1p-u` `sqrt-pow1` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `unpow-prod-up` `pow1/2` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `associate-+l-` `cbrt-unprod` `distribute-lft-out--` `pow-sub`

Counts

4 → 96

Calls

4 calls:

Slowest

409.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
402.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
6.0ms	(sqrt (* PI 2))
4.0ms	(sqrt (* PI 2))

series802.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

427.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
375.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))

simplify13.9s

Counts

64 → 104

Calls

64 calls:

Slowest

828.0ms	(+ (* (+ (/ 12.507343278686905 (+ z 4)) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1))))) (/ -176.6150291621406 (+ z 3))) (/ -0.13857109526572012 (- z -5)))) (* (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (- (+ (+ 7 (- z 1)) 0.5))))) (* (+ (/ 9.984369578019572e-06 (+ 7 (- z 1))) (/ 1.5056327351493116e-07 (+ z 7))) (* (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (- (+ (+ 7 (- z 1)) 0.5))))))
779.0ms	(+ (* (+ (/ 12.507343278686905 (+ z 4)) (+ (+ (+ (/ 771.3234287776531 (+ z 2)) (+ (/ 676.5203681218851 z) (+ 0.9999999999998099 (/ -1259.1392167224028 (- z -1))))) (/ -176.6150291621406 (+ z 3))) (/ -0.13857109526572012 (- z -5)))) (* (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (- (+ (+ 7 (- z 1)) 0.5))))) (* (+ (/ 9.984369578019572e-06 (+ 7 (- z 1))) (/ 1.5056327351493116e-07 (+ z 7))) (* (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (- (+ (+ 7 (- z 1)) 0.5))))))
454.0ms	(pow (+ (+ 7 (- z 1)) 0.5) (- z 1))
452.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (/ (+ (- z 1) 0.5) 2)) (sqrt (sqrt (* PI 2))))
440.0ms	(pow (+ (+ 7 (- z 1)) 0.5) (- z 1))

prune4.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize164.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(sqrt PI)
1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))

rewrite575.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity` `add-exp-log`
16×	`add-sqr-sqrt`
12×	`associate-l`
11×	`add-cbrt-cube`
10×	`pow1` `associate-r` `prod-exp` `add-cube-cbrt`
8×	`sqrt-prod`
7×	`unpow-prod-down`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `unswap-sqr`
2×	`pow-to-exp` `pow1/2` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `pow-sub` `sqr-pow`
1×	`unpow-prod-up` `rem-sqrt-square` `associate-*r/` `associate-+l-` `distribute-lft-out--`

Counts

4 → 90

Calls

4 calls:

Slowest

506.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
63.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
4.0ms	(sqrt (* PI 2))
1.0ms	(sqrt PI)

series1.1s

Counts

4 → 8

Calls

4 calls:

Slowest

766.0ms	(* (* (sqrt 2) (pow (+ z 6.5) (- z 0.5))) (sqrt PI))
351.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt PI)

simplify9.3s

Counts

55 → 98

Calls

55 calls:

Slowest

459.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (/ (+ (- z 1) 0.5) 2)) (sqrt (sqrt (* PI 2))))
438.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (/ (+ (- z 1) 0.5) 2)) (sqrt (sqrt (* PI 2))))
421.0ms	(pow (+ (+ 7 (- z 1)) 0.5) (- z 1))
383.0ms	(* (pow (sqrt (+ (+ 7 (- z 1)) 0.5)) (+ (- z 1) 0.5)) (sqrt (sqrt (* PI 2))))
371.0ms	(* (pow (sqrt (+ (+ 7 (- z 1)) 0.5)) (+ (- z 1) 0.5)) (sqrt (sqrt (* PI 2))))

prune4.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

localize233.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(sqrt PI)
1.0b	(/ (* (* (sqrt 2) (pow (+ z 6.5) z)) (sqrt PI)) (pow (+ z 6.5) 0.5))
1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))

rewrite602.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
25×	`*-un-lft-identity`
24×	`prod-exp`
18×	`add-sqr-sqrt`
15×	`unpow-prod-down` `add-cbrt-cube` `div-exp`
12×	`add-cube-cbrt`
11×	`associate-l`
9×	`pow-to-exp` `pow-exp`
8×	`pow1` `associate-/r*` `times-frac`
7×	`distribute-lft-out`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-r` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`cbrt-undiv` `sqrt-pow1` `unswap-sqr`
2×	`pow1/2`
1×	`unpow-prod-up` `rem-sqrt-square` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `associate-+l-` `div-inv` `associate-/l*` `distribute-lft-out--` `pow-sub`

Counts

4 → 112

Calls

4 calls:

Slowest

492.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
98.0ms	(/ (* (* (sqrt 2) (pow (+ z 6.5) z)) (sqrt PI)) (pow (+ z 6.5) 0.5))
7.0ms	(sqrt (* PI 2))
2.0ms	(sqrt PI)

series1.1s

Counts

4 → 8

Calls

4 calls:

Slowest

730.0ms	(/ (* (* (sqrt 2) (pow (+ z 6.5) z)) (sqrt PI)) (pow (+ z 6.5) 0.5))
354.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt PI)

simplify19.3s

Counts

83 → 120

Calls

83 calls:

Slowest

958.0ms	(/ (* (* (* (* (sqrt 2) (pow (+ z 6.5) z)) (sqrt PI)) (* (* (sqrt 2) (pow (+ z 6.5) z)) (sqrt PI))) (* (* (sqrt 2) (pow (+ z 6.5) z)) (sqrt PI))) (* (* (pow (+ z 6.5) 0.5) (pow (+ z 6.5) 0.5)) (pow (+ z 6.5) 0.5)))
914.0ms	(/ (* (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (pow (+ z 6.5) z) (pow (+ z 6.5) z)) (pow (+ z 6.5) z))) (* (* (sqrt PI) (sqrt PI)) (sqrt PI))) (* (* (pow (+ z 6.5) 0.5) (pow (+ z 6.5) 0.5)) (pow (+ z 6.5) 0.5)))
862.0ms	(/ (* (* (* (* (sqrt 2) (pow (+ z 6.5) z)) (* (sqrt 2) (pow (+ z 6.5) z))) (* (sqrt 2) (pow (+ z 6.5) z))) (* (* (sqrt PI) (sqrt PI)) (sqrt PI))) (* (* (pow (+ z 6.5) 0.5) (pow (+ z 6.5) 0.5)) (pow (+ z 6.5) 0.5)))
816.0ms	(- (+ (* 0.038461538461538464 (* (* (sqrt 2) (pow z 2)) (* (pow (/ 1 (pow 6.5 3.0)) 0.5) (sqrt PI)))) (+ (* 0.15088757396449706 (* (* (sqrt 2) (pow z 2)) (* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI)))) (+ (* (sqrt 2) (* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))) (+ (* 1.625 (* (* (sqrt 2) (pow z 2)) (* (pow (/ 1 (pow 6.5 7.0)) 0.5) (sqrt PI)))) (+ (* 1/2 (* (* (sqrt 2) (* (pow z 2) (pow (log 6.5) 2))) (* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI)))) (* (* (sqrt 2) (* z (log 6.5))) (* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI)))))))) (+ (* 0.07692307692307693 (* (* (sqrt 2) z) (* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI)))) (* 0.07692307692307693 (* (* (sqrt 2) (* (pow z 2) (log 6.5))) (* (pow (/ 1 (pow 6.5 1.0)) 0.5) (sqrt PI))))))
670.0ms	(- (+ (* (* (sqrt 2) (exp (* (log (+ z 6.5)) z))) (* (pow (/ 1 (pow (exp (* 1.0 (- (log -1) (log (/ -1 z))))) 1.0)) 0.5) (sqrt PI))) (* 15.84375 (* (/ (* (sqrt 2) (exp (* (log (+ z 6.5)) z))) (pow z 2)) (* (pow (/ 1 (pow (exp (* 1.0 (- (log -1) (log (/ -1 z))))) 1.0)) 0.5) (sqrt PI))))) (* 3.25 (* (/ (* (sqrt 2) (exp (* (log (+ z 6.5)) z))) z) (* (pow (/ 1 (pow (exp (* 1.0 (- (log -1) (log (/ -1 z))))) 1.0)) 0.5) (sqrt PI)))))

prune5.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.7b

localize252.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (* PI 2))
1.0b	(sqrt PI)
1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(* (/ (* (sqrt 2) (pow (+ z 6.5) z)) (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5)) (/ (sqrt PI) (pow (cbrt (+ z 6.5)) 0.5)))

rewrite565.0ms

Algorithm

rewrite-expression-head

Rules

275×	`add-exp-log`
135×	`prod-exp`
115×	`div-exp`
81×	`add-sqr-sqrt`
79×	`times-frac`
74×	`associate-r`
72×	`*-un-lft-identity`
66×	`pow-exp`
54×	`unpow-prod-down`
51×	`add-cube-cbrt`
50×	`pow-to-exp`
42×	`sqrt-prod`
27×	`add-cbrt-cube`
26×	`cbrt-prod`
20×	`associate-l`
12×	`unswap-sqr`
11×	`distribute-lft-out` `sqr-pow`
10×	`pow1`
9×	`cbrt-unprod`
7×	`cbrt-undiv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1`
2×	`pow1/2` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`frac-times` `unpow-prod-up` `rem-sqrt-square` `associate-*r/` `associate-+l-` `distribute-lft-out--` `pow-sub`

Counts

4 → 241

Calls

4 calls:

Slowest

465.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
89.0ms	(* (/ (* (sqrt 2) (pow (+ z 6.5) z)) (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5)) (/ (sqrt PI) (pow (cbrt (+ z 6.5)) 0.5)))
4.0ms	(sqrt (* PI 2))
1.0ms	(sqrt PI)

series1.0s

Counts

4 → 8

Calls

4 calls:

Slowest

671.0ms	(* (/ (* (sqrt 2) (pow (+ z 6.5) z)) (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5)) (/ (sqrt PI) (pow (cbrt (+ z 6.5)) 0.5)))
340.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt PI)

simplify1.3m

Counts

217 → 249

Calls

217 calls:

Slowest

1.6s	(* (/ (* (* (* (sqrt 2) (pow (+ z 6.5) z)) (* (sqrt 2) (pow (+ z 6.5) z))) (* (sqrt 2) (pow (+ z 6.5) z))) (* (* (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5) (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5)) (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5))) (/ (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (pow (cbrt (+ z 6.5)) 0.5) (pow (cbrt (+ z 6.5)) 0.5)) (pow (cbrt (+ z 6.5)) 0.5))))
1.4s	(* (/ (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (pow (+ z 6.5) z) (pow (+ z 6.5) z)) (pow (+ z 6.5) z))) (* (* (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5) (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5)) (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5))) (/ (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (pow (cbrt (+ z 6.5)) 0.5) (pow (cbrt (+ z 6.5)) 0.5)) (pow (cbrt (+ z 6.5)) 0.5))))
1.4s	(* (* (* (/ (* (sqrt 2) (pow (+ z 6.5) z)) (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5)) (/ (* (sqrt 2) (pow (+ z 6.5) z)) (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5))) (/ (* (sqrt 2) (pow (+ z 6.5) z)) (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5))) (/ (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (pow (cbrt (+ z 6.5)) 0.5) (pow (cbrt (+ z 6.5)) 0.5)) (pow (cbrt (+ z 6.5)) 0.5))))
1.3s	(* (/ (* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (pow (+ z 6.5) z) (pow (+ z 6.5) z)) (pow (+ z 6.5) z))) (* (* (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5) (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5)) (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5))) (* (* (/ (sqrt PI) (pow (cbrt (+ z 6.5)) 0.5)) (/ (sqrt PI) (pow (cbrt (+ z 6.5)) 0.5))) (/ (sqrt PI) (pow (cbrt (+ z 6.5)) 0.5))))
1.2s	(* (/ (* (* (* (sqrt 2) (pow (+ z 6.5) z)) (* (sqrt 2) (pow (+ z 6.5) z))) (* (sqrt 2) (pow (+ z 6.5) z))) (* (* (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5) (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5)) (pow (* (cbrt (+ z 6.5)) (cbrt (+ z 6.5))) 0.5))) (* (* (/ (sqrt PI) (pow (cbrt (+ z 6.5)) 0.5)) (/ (sqrt PI) (pow (cbrt (+ z 6.5)) 0.5))) (/ (sqrt PI) (pow (cbrt (+ z 6.5)) 0.5))))

prune13.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.7b

regimes546.0ms

Accuracy

0% (0.3b remaining)

Error of 0.9b against oracle of 0.6b and baseline of 0.9b

bsearch30.0ms

end0.0ms

sample48.5s

Algorithm

intervals

Results

15.8s	3663×	body	10240	exit
12.1s	3426×	body	1280	valid
6.4s	2473×	body	640	valid
5.1s	1550×	body	1280	nan
3.1s	1209×	body	640	nan
2.3s	1241×	body	320	valid
1.0s	606×	body	160	valid
1.0s	630×	body	320	nan
565.0ms	309×	body	80	nan
349.0ms	323×	body	160	nan
222.0ms	358×	body	80	valid