Details

sample403.0ms

Algorithm

intervals

Results

202.0ms	1402×	body	80	nan
94.0ms	462×	body	80	valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
6	7990
5	1486
4	460
3	167
2	63
1	32
0	17

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.5b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `add-exp-log`
10×	`pow1` `add-log-exp`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`insert-posit16`
3×	`associate-/r*` `times-frac` `exp-sum` `prod-exp` `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×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `associate-r/` `div-inv` `flip--` `associate-/l` `associate-/l/`

Counts

4 → 99

Calls

4 calls:

34.0ms	(* (- t 1.0) (log a))
14.0ms	(* y (log z))
76.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
177.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series517.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (- t 1.0) (log a))
44.0ms	(* y (log z))
144.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
255.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify3.6s

Counts

111 → 111

Iterations

Iter	Nodes
3	5360
2	1404
1	516
0	237

prune881.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.9b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.0b	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite415.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
30×	`associate-r`
28×	`*-un-lft-identity`
24×	`add-cube-cbrt`
19×	`times-frac`
13×	`add-cbrt-cube`
12×	`pow1` `log-prod` `exp-sum` `add-exp-log`
11×	`associate-l`
10×	`add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`sub-neg` `prod-exp` `associate--l+` `cbrt-unprod` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `*-commutative` `rem-exp-log`
2×	`diff-log` `associate-*l/` `log-pow` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `sum-log` `flip3--` `exp-diff` `div-exp` `associate-*r/` `div-inv` `flip--`

Counts

4 → 118

Calls

4 calls:

27.0ms	(* (- t 1.0) (log a))
14.0ms	(* y (log z))
274.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
97.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series542.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (- t 1.0) (log a))
51.0ms	(* y (log z))
248.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
158.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify3.0s

Counts

130 → 130

Iterations

Iter	Nodes
3	5282
2	1582
1	597
0	265

prune1.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.9b

localize107.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`exp-prod`
8×	`add-cube-cbrt`
6×	`cbrt-prod` `exp-sum` `rem-exp-log`
4×	`pow1` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16`
2×	`sum-log` `sub-neg` `exp-diff` `pow1/3` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
70.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
121.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series864.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt y)
272.0ms	(cbrt y)
196.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
137.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify3.2s

Counts

76 → 76

Iterations

Iter	Nodes
4	6709
3	1514
2	490
1	208
0	101

prune979.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.7b

localize77.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
15×	`exp-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`exp-sum` `rem-exp-log`
8×	`add-cube-cbrt`
6×	`diff-log`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`cbrt-prod` `sum-log` `sub-neg` `exp-diff` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt y)
93.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
76.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
79.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series825.0ms

Counts

4 → 12

Calls

4 calls:

308.0ms	(cbrt y)
175.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
162.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
181.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify3.2s

Counts

84 → 84

Iterations

Iter	Nodes
4	6709
3	1514
2	490
1	208
0	101

prune967.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.7b

regimes2.9s

Accuracy

0% (0.5b remaining)

Error of 1.1b against oracle of 0.6b and baseline of 1.1b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	32
1	32
0	26

end0.0ms

sample15.9s

Algorithm

intervals

Results

8.8s	45832×	body	80	nan
3.1s	15072×	body	80	valid