Details

sample502.0ms

Algorithm

intervals

Results

192.0ms	1546×	body	80	nan
86.0ms	512×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
5	1717
4	477
3	179
2	71
1	33
0	17

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.5b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite370.0ms

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` `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 → 112

Calls

4 calls:

27.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
235.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
94.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series603.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (- t 1.0) (log a))
64.0ms	(* y (log z))
269.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
183.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.9s

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	1857
1	620
0	277

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.6b

localize156.0ms

Local error

Found 4 expressions with local error:

0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

rewrite740.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

102.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
214.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
199.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
221.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series1.4s

Counts

4 → 12

Calls

4 calls:

166.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
383.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
383.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
459.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify2.9s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
3	4192
2	1069
1	398
0	188

prune1.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

localize149.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.3b	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

rewrite491.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
20×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`add-cube-cbrt`
12×	`unpow-prod-up`
9×	`times-frac` `prod-diff`
5×	`pow1` `pow-unpow` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `unpow-prod-down` `pow1/3` `div-inv`
2×	`pow-exp`
1×	`pow-to-exp` `e-exp-1` `sub-neg` `pow-pow` `associate--l+` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

23.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
226.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
226.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
13.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

164.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
332.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
355.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
392.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify2.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
3	4409
2	1336
1	529
0	225

prune1.4s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.4b

localize199.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.3b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

rewrite760.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 72

Calls

4 calls:

183.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
161.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
182.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
232.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series1.6s

Counts

4 → 12

Calls

4 calls:

353.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
428.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
436.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
346.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify2.1s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	2241
2	608
1	229
0	109

prune1.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.4b

regimes3.3s

Accuracy

0% (1.1b remaining)

Error of 1.7b against oracle of 0.6b and baseline of 1.7b

bsearch0.0ms

simplify16.0ms

Iterations

Iter	Nodes
done	44
2	44
1	42
0	31

end0.0ms

sample12.9s

Algorithm

intervals

Results

6.1s	45361×	body	80	nan
1.8s	15162×	body	80	valid