Details

sample352.0ms

Algorithm

intervals

Results

133.0ms	1281×	body	80	nan
76.0ms	471×	body	80	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	17	18
1	32	18
2	65	18
3	180	16
4	559	16
5	3064	16
done	5001	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite327.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
3×	`times-frac` `exp-sum` `prod-exp` `associate-/r*` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 95

Calls

4 calls:

35.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
196.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
83.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series527.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (- t 1.0) (log a))
50.0ms	(* y (log z))
233.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
164.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify822.0ms

Counts

107 → 107

Iterations

Useful iterations: done (818.0ms)

Iter	Nodes	Cost
0	231	1531
1	530	1495
2	2148	1219
done	5001	1198

prune561.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))
0.2b	(* (- (log a)) t)
0.3b	(* (- (log z)) y)
0.8b	(/ (* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b)))) y)

rewrite757.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
40×	`associate-r`
34×	`times-frac`
31×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log`
27×	`associate-l`
22×	`add-cbrt-cube`
14×	`pow1`
13×	`unpow-prod-down`
11×	`div-exp`
10×	`prod-exp`
8×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
7×	`exp-sum`
6×	`cbrt-unprod` `unswap-sqr`
5×	`cbrt-undiv` `sqr-pow`
4×	`distribute-lft-neg-out` `log-pow` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative`
2×	`pow-to-exp` `associate-+l-` `neg-mul-1` `exp-diff` `associate-*r/` `pow-exp` `associate-/r/` `div-inv`
1×	`frac-2neg` `unsub-neg` `clear-num` `associate-/l/` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

426.0ms	(* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))
20.0ms	(* (- (log a)) t)
20.0ms	(* (- (log z)) y)
284.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b)))) y)

series1.0s

Counts

4 → 12

Calls

4 calls:

409.0ms	(* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))
84.0ms	(* (- (log a)) t)
81.0ms	(* (- (log z)) y)
449.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b)))) y)

simplify2.1s

Counts

151 → 151

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	300	2929
1	811	2845
2	4133	2322
done	5000	2294

prune866.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (log a)) t)
0.3b	(* (- (log z)) y)
0.3b	(* (log z) y)
0.8b	(/ (* (* (sqrt (/ (pow a (- 1.0)) (exp (- (- b (* (log a) t)) (* (log z) y))))) x) (sqrt (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))) y)

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

28×	`associate-l`
22×	`add-sqr-sqrt`
19×	`add-exp-log` `add-cbrt-cube`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`pow1`
9×	`associate-r`
8×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
6×	`prod-exp` `cbrt-unprod`
5×	`log-pow`
4×	`sqrt-div` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-l/` `associate-/r` `*-commutative` `associate-/l/` `unswap-sqr`
2×	`distribute-lft-neg-out` `neg-mul-1`
1×	`frac-times` `frac-2neg` `associate-r/` `clear-num` `div-inv` `associate-/l`

Counts

4 → 101

Calls

4 calls:

15.0ms	(* (- (log a)) t)
20.0ms	(* (- (log z)) y)
13.0ms	(* (log z) y)
1.1s	(/ (* (* (sqrt (/ (pow a (- 1.0)) (exp (- (- b (* (log a) t)) (* (log z) y))))) x) (sqrt (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))) y)

series854.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (- (log a)) t)
85.0ms	(* (- (log z)) y)
81.0ms	(* (log z) y)
603.0ms	(/ (* (* (sqrt (/ (pow a (- 1.0)) (exp (- (- b (* (log a) t)) (* (log z) y))))) x) (sqrt (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))) y)

simplify1.5s

Counts

113 → 113

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	226	2094
1	593	1889
2	3158	1559
done	5000	1135

prune765.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b)))
0.2b	(* (- (log a)) t)
0.3b	(* (- (log z)) y)
4.7b	(* (/ x y) (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))

rewrite644.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
75×	`times-frac`
53×	`add-cube-cbrt` `*-un-lft-identity`
40×	`associate-r`
37×	`associate-l`
29×	`unpow-prod-down`
28×	`add-exp-log`
22×	`add-cbrt-cube`
15×	`exp-sum`
14×	`pow1`
13×	`div-exp`
11×	`sqr-pow`
10×	`prod-exp` `unswap-sqr`
8×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
7×	`associate-/l*`
6×	`distribute-lft-neg-out` `cbrt-unprod`
5×	`cbrt-undiv`
4×	`associate-+l-` `exp-diff` `associate-/r*` `associate-/r/` `log-pow` `add-log-exp`
3×	`pow-to-exp` `pow-prod-down` `pow-exp` `*-commutative` `div-inv`
2×	`neg-mul-1` `unsub-neg` `associate-/l/`
1×	`neg-sub0` `frac-times` `pow-neg` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `pow-sub`

Counts

4 → 192

Calls

4 calls:

122.0ms	(/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b)))
13.0ms	(* (- (log a)) t)
24.0ms	(* (- (log z)) y)
477.0ms	(* (/ x y) (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))

series925.0ms

Counts

4 → 12

Calls

4 calls:

322.0ms	(/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b)))
88.0ms	(* (- (log a)) t)
84.0ms	(* (- (log z)) y)
430.0ms	(* (/ x y) (/ (pow a (- 1.0)) (exp (+ (+ (* (- (log z)) y) (* (- (log a)) t)) b))))

simplify476.0ms

Counts

204 → 204

Iterations

Useful iterations: done (467.0ms)

Iter	Nodes	Cost
0	342	4717
1	949	4592
done	5001	4079

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes468.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	30	43
1	40	43
2	50	42
done	50	42

end0.0ms

sample13.3s

Algorithm

intervals

Results

6.5s	44413×	body	80	nan
2.5s	14963×	body	80	valid