Details

sample447.0ms

Algorithm

intervals

Results

169.0ms	1597×	body	80	nan
131.0ms	514×	body	80	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5004
5	1760
4	460
3	167
2	63
1	32
0	17

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.4b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite292.0ms

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`
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 → 95

Calls

4 calls:

23.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
71.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
189.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series573.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* (- t 1.0) (log a))
53.0ms	(* y (log z))
179.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
261.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify1.9s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
2	1697
1	529
0	233

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.7b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.6b	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite303.0ms

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`
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 → 183

Calls

4 calls:

33.0ms	(* (- t 1.0) (log a))
12.0ms	(* y (log z))
154.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
90.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series613.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (- t 1.0) (log a))
64.0ms	(* y (log z))
261.0ms	(/ x (/ y (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))
195.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.2s

Counts

195 → 195

Iterations

Iter	Nodes
done	5001
2	2881
1	945
0	391

prune1.8s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.7b

localize94.0ms

Local error

Found 4 expressions with local error:

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

rewrite176.0ms

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`
2×	`sum-log` `sub-neg` `exp-diff` `pow1/3` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
96.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
74.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series945.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt y)
307.0ms	(cbrt y)
189.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
165.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.7s

Counts

72 → 72

Iterations

Iter	Nodes
done	5018
3	1660
2	491
1	207
0	99

prune779.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.6b

localize108.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
74.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
22.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series888.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt y)
266.0ms	(cbrt y)
179.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
161.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.2s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	2251
2	722
1	300
0	130

prune775.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 0.4b

regimes3.0s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	36
2	36
1	34
0	28

end0.0ms

sample10.9s

Algorithm

intervals

Results

6.0s	45145×	body	80	nan
1.8s	15152×	body	80	valid