Details

sample710.0ms

Algorithm

intervals

Results

467.0ms	1266×	body	80	nan
73.0ms	410×	body	80	valid
7.0ms	12×	body	640	valid
3.0ms	7×	body	320	valid
2.0ms	9×	body	160	valid
2.0ms	1×	body	1280	valid

simplify485.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
4.6b	(log (- 1.0 z))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
24×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`associate--l+`
17×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-cube-cbrt` `associate-+r+`
10×	`associate-+l+` `associate-*r/`
9×	`add-log-exp`
8×	`pow1`
7×	`add-exp-log`
6×	`sub-neg` `flip3--` `associate-r` `add-cbrt-cube` `flip--`
5×	`distribute-lft-out--`
4×	`frac-add` `difference-of-squares`
3×	`exp-prod` `associate-l`
2×	`log-div` `sum-log` `log-pow` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

70.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
43.0ms	(* y (- (log z) t))
55.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
6.0ms	(log (- 1.0 z))

series509.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
78.0ms	(* y (- (log z) t))
209.0ms	(+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))
60.0ms	(log (- 1.0 z))

simplify929.0ms

Counts: 113 → 113

prune539.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- (- (log 1.0) (+ (* (/ 1 2) (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
0.0b	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* (/ 1 2) (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
0.2b	(* y (- (log z) t))
0.5b	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* (/ 1 2) (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

44×	`associate--l+`
27×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
24×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
17×	`add-cube-cbrt`
14×	`associate-+r+`
13×	`associate-r`
12×	`sub-neg` `associate-*r/`
10×	`pow1` `associate-+l+`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`flip3--` `associate-l` `flip--`
4×	`frac-add`
3×	`exp-prod`
2×	`pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `rem-exp-log` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `flip3-+` `exp-sum` `flip-+`

Counts

4 → 123

Calls

4 calls:

1.1s	(* a (- (- (log 1.0) (+ (* (/ 1 2) (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
308.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* (/ 1 2) (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
26.0ms	(* y (- (log z) t))
262.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* (/ 1 2) (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

series792.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* a (- (- (log 1.0) (+ (* (/ 1 2) (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))
206.0ms	(exp (+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* (/ 1 2) (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b))))
105.0ms	(* y (- (log z) t))
339.0ms	(+ (* y (- (log z) t)) (* a (- (- (log 1.0) (+ (* (/ 1 2) (/ (pow z 2) (pow 1.0 2))) (* 1.0 z))) b)))

simplify1.4s

Counts: 135 → 135

prune836.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (log z) y) (* a (log 1.0))) (* t y))
0.0b	(* x (exp (- (+ (* (log z) y) (* a (log 1.0))) (* t y))))
0.0b	(exp (- (+ (* (log z) y) (* a (log 1.0))) (* t y)))
0.2b	(* (log z) y)

rewrite492.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-log-exp`
13×	`add-sqr-sqrt`
9×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
8×	`add-cbrt-cube`
7×	`add-exp-log` `associate-l`
6×	`exp-sum`
4×	`diff-log`
3×	`sub-neg` `exp-prod` `associate--l+` `rem-exp-log`
2×	`exp-diff` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `associate-*r/` `log-pow` `flip--`

Counts

4 → 72

Calls

4 calls:

81.0ms	(- (+ (* (log z) y) (* a (log 1.0))) (* t y))
276.0ms	(* x (exp (- (+ (* (log z) y) (* a (log 1.0))) (* t y))))
114.0ms	(exp (- (+ (* (log z) y) (* a (log 1.0))) (* t y)))
17.0ms	(* (log z) y)

series558.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(- (+ (* (log z) y) (* a (log 1.0))) (* t y))
201.0ms	(* x (exp (- (+ (* (log z) y) (* a (log 1.0))) (* t y))))
141.0ms	(exp (- (+ (* (log z) y) (* a (log 1.0))) (* t y)))
76.0ms	(* (log z) y)

simplify565.0ms

Counts: 84 → 84

prune482.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a b) (* 1.0 (* a z)))
0.0b	(/ (pow z y) (exp (+ (* t y) (+ (* a b) (* 1.0 (* a z))))))
0.4b	(+ (* t y) (+ (* a b) (* 1.0 (* a z))))
7.6b	(* a (pow z 2))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-cube-cbrt` `*-un-lft-identity`
19×	`unpow-prod-down`
11×	`add-exp-log` `add-log-exp`
8×	`associate-r` `exp-sum` `add-cbrt-cube`
7×	`associate-/l*` `sqr-pow`
4×	`pow1` `associate-/r*` `sum-log` `unswap-sqr`
3×	`div-exp` `associate-l` `prod-exp`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `flip-+` `unpow2`
1×	`cbrt-undiv` `associate-+r+` `frac-2neg` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 104

Calls

4 calls:

9.0ms	(+ (* a b) (* 1.0 (* a z)))
99.0ms	(/ (pow z y) (exp (+ (* t y) (+ (* a b) (* 1.0 (* a z))))))
19.0ms	(+ (* t y) (+ (* a b) (* 1.0 (* a z))))
21.0ms	(* a (pow z 2))

series348.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ (* a b) (* 1.0 (* a z)))
190.0ms	(/ (pow z y) (exp (+ (* t y) (+ (* a b) (* 1.0 (* a z))))))
53.0ms	(+ (* t y) (+ (* a b) (* 1.0 (* a z))))
43.0ms	(* a (pow z 2))

simplify1.1s

Counts: 116 → 116

prune932.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes361.0ms

Accuracy

71.2% (4.6b remaining)

Error of 4.7b against oracle of 0.1b and baseline of 16.1b

bsearch768.0ms

Steps

Iters	Range		Point
9	7.848534304038427e+105	4.2958803122934513e+111	9.428286306709098e+105
9	-6422736.341078997	-1.077122854642652	-2.215468971851407

simplify401.0ms

end0.0ms

sample13.0s

Algorithm

intervals

Results

6.6s	41350×	body	80	nan
1.7s	12411×	body	80	valid
219.0ms	394×	body	640	valid
142.0ms	407×	body	320	valid
86.0ms	82×	body	1280	valid
62.0ms	282×	body	160	valid