Details

sample388.0ms

Algorithm

intervals

Results

238.0ms	1421×	body	80	nan
69.0ms	475×	body	80	valid

simplify958.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2027
5	1760
4	460
3	167
2	63
1	32
0	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite219.0ms

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:

25.0ms	(* (- t 1.0) (log a))
10.0ms	(* y (log z))
54.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
128.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series512.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (- t 1.0) (log a))
61.0ms	(* y (log z))
165.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
215.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify918.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	2002
2	1710
1	537
0	237

prune765.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.7b	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite339.0ms

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:

16.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
221.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
92.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series407.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (- t 1.0) (log a))
39.0ms	(* y (log z))
172.0ms	(* x (/ (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)) y))
134.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify820.0ms

Counts

130 → 130

Iterations

Iter	Nodes
done	2000
2	1696
1	610
0	265

prune868.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.6b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite253.0ms

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)
78.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
83.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
90.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series678.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt y)
121.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
142.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
162.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify801.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	2002
3	1642
2	493
1	209
0	101

prune860.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.5b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`exp-prod`
9×	`add-cube-cbrt`
6×	`exp-sum` `rem-exp-log`
5×	`pow1` `pow-unpow` `add-exp-log`
4×	`add-cbrt-cube` `diff-log` `insert-posit16`
3×	`cbrt-prod` `unpow-prod-up` `sub-neg` `unpow-prod-down` `associate--l+` `distribute-lft-out--` `difference-of-squares`
2×	`sum-log` `exp-diff` `pow-exp`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `pow1/3` `pow-sub` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt y)
64.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
57.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
20.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series618.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt y)
136.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
121.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
145.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify617.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	2000
2	725
1	303
0	133

prune836.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.4b

regimes2.2s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	40
2	40
1	38
0	29

end0.0ms

sample13.9s

Algorithm

intervals

Results

7.8s	45078×	body	80	nan
3.1s	15120×	body	80	valid