Details

sample530.0ms

Algorithm

intervals

Results

317.0ms	1623×	body	80	nan
100.0ms	544×	body	80	valid

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
6	7660
5	1421
4	477
3	179
2	71
1	33
0	17

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `exp-sum` `add-exp-log`
10×	`pow1` `add-log-exp`
9×	`prod-diff`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `times-frac` `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 → 116

Calls

4 calls:

36.0ms	(* (- t 1.0) (log a))
13.0ms	(* y (log z))
72.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
253.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series587.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (- t 1.0) (log a))
59.0ms	(* y (log z))
179.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
260.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify4.3s

Counts

128 → 128

Iterations

Iter	Nodes
3	5841
2	1598
1	597
0	281

prune2.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize59.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite834.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
17×	`add-cube-cbrt`
16×	`add-exp-log`
12×	`exp-sum`
10×	`add-log-exp`
9×	`associate-/r*` `times-frac` `prod-diff`
6×	`cbrt-undiv` `div-exp`
5×	`exp-prod`
4×	`expm1-log1p-u` `pow1` `exp-diff` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `prod-exp` `associate-r/` `cbrt-unprod` `div-inv` `associate-/l` `rem-exp-log` `associate-/l/`
2×	`diff-log`
1×	`sum-log` `sub-neg` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 106

Calls

4 calls:

99.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
249.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
254.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
229.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series886.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
235.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
214.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
263.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify2.4s

Counts

118 → 118

Iterations

Iter	Nodes
3	4235
2	1081
1	388
0	176

prune2.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.6b

localize109.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite642.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
12×	`exp-sum`
10×	`add-log-exp`
9×	`prod-diff`
8×	`cbrt-undiv` `div-exp`
7×	`associate-/r*` `times-frac`
6×	`prod-exp` `cbrt-unprod`
5×	`exp-prod`
4×	`expm1-log1p-u` `pow1` `exp-diff` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `associate-r/` `div-inv` `associate-/l` `rem-exp-log` `associate-/l/`
2×	`diff-log`
1×	`sum-log` `sub-neg` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 106

Calls

4 calls:

77.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
196.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))
157.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
210.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series1.0s

Counts

4 → 12

Calls

4 calls:

186.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
346.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))
255.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
213.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify7.4s

Counts

118 → 118

Iterations

Iter	Nodes
3	10057
2	1800
1	514
0	217

prune3.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.6b

localize114.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))
1.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite559.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
25×	`add-cbrt-cube`
15×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cube-cbrt`
12×	`exp-sum`
10×	`cbrt-undiv` `div-exp` `add-log-exp`
9×	`prod-diff` `prod-exp` `cbrt-unprod`
5×	`exp-prod` `associate-/r*` `times-frac`
4×	`expm1-log1p-u` `pow1` `exp-diff` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `associate-r/` `div-inv` `associate-/l` `rem-exp-log` `associate-/l/`
2×	`diff-log`
1×	`sum-log` `sub-neg` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 106

Calls

4 calls:

65.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
152.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))
161.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))
179.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

153.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
389.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))
329.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (* (cbrt y) (cbrt y)))
184.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify7.2s

Counts

118 → 118

Iterations

Iter	Nodes
3	10057
2	1800
1	514
0	217

prune2.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.6b

regimes2.2s

Accuracy

81% (0.3b remaining)

Error of 0.9b against oracle of 0.7b and baseline of 2.0b

bsearch22.0ms

Steps

Iters	Range		Point
1	100.28059858141519	107.56575906343905	102.10188870192115

simplify13.0ms

Iterations

Iter	Nodes
2	37
1	37
0	31

end0.0ms

sample14.7s

Algorithm

intervals

Results

8.4s	46580×	body	80	nan
3.0s	15235×	body	80	valid