Details

sample552.0ms

Algorithm

intervals

Results

344.0ms	1574×	body	80	nan
95.0ms	492×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2040
6	2040
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

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* 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)

rewrite339.0ms

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:

17.0ms	(* (- t 1.0) (log a))
6.0ms	(* y (log z))
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
234.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series584.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (- t 1.0) (log a))
40.0ms	(* y (log z))
187.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
258.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.5s

Counts

111 → 111

Iterations

Iter	Nodes
done	2017
3	2017
2	1710
1	537
0	237

prune879.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.7b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.5b	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite666.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
85×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
77×	`add-cube-cbrt`
39×	`exp-sum`
23×	`associate-/r*`
13×	`sub-neg` `add-cbrt-cube` `associate--l+`
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` `exp-diff` `associate-/r/` `div-inv`
4×	`insert-posit16`
3×	`cbrt-undiv` `div-exp` `associate-/l*` `rem-exp-log`
2×	`diff-log` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `sum-log` `frac-2neg` `flip3--` `flip--`

Counts

4 → 187

Calls

4 calls:

36.0ms	(* (- t 1.0) (log a))
14.0ms	(* y (log z))
512.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
97.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series525.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (- t 1.0) (log a))
53.0ms	(* y (log z))
251.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
139.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.2s

Counts

199 → 199

Iterations

Iter	Nodes
done	2003
2	2003
1	958
0	395

prune1.7s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.7b

localize92.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
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))

rewrite272.0ms

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 x)
106.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
81.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series847.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt x)
202.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
192.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
176.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	2000
4	2000
3	1676
2	494
1	210
0	102

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.6b

localize114.0ms

Local error

Found 4 expressions with local error:

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

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

65.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
57.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
106.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
74.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series671.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
150.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
154.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
204.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	2000
4	2000
3	1501
2	405
1	169
0	79

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.6b

regimes2.7s

Accuracy

0% (0.4b remaining)

Error of 1.0b against oracle of 0.6b and baseline of 1.0b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample14.7s

Algorithm

intervals

Results

9.1s	45688×	body	80	nan
2.7s	15051×	body	80	valid