Details

sample396.0ms

Algorithm

intervals

Results

201.0ms	1596×	body	80	nan
70.0ms	503×	body	80	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5023
5	2138
4	527
3	179
2	65
1	32
0	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite232.0ms

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:

23.0ms	(* (- t 1.0) (log a))
9.0ms	(* y (log z))
141.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
56.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series465.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (- t 1.0) (log a))
43.0ms	(* y (log z))
193.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
157.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify1.5s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	1746
1	538
0	237

prune774.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.8b

localize47.0ms

Local error

Found 4 expressions with local error:

1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.1b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.1b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

rewrite504.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`times-frac`
5×	`exp-prod`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`cbrt-div` `pow1/3` `exp-sum` `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 → 71

Calls

4 calls:

58.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
113.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
170.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
162.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series974.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
317.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
243.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
266.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify2.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	4200
2	856
1	311
0	150

prune819.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.7b

localize71.0ms

Local error

Found 4 expressions with local error:

1.1b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.1b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.1b	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`times-frac`
5×	`pow1` `pow-unpow` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`unpow-prod-up` `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 → 76

Calls

4 calls:

25.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
168.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
140.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
3.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

121.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
285.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
301.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
295.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify2.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5003
3	4025
2	1052
1	396
0	186

prune997.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.6b

localize97.0ms

Local error

Found 4 expressions with local error:

1.1b	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.1b	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.1b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
1.1b	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

3.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
3.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
143.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
118.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

346.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
301.0ms	(cbrt (/ (* x (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
293.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))
253.0ms	(cbrt (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))

simplify2.3s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
3	2651
2	623
1	249
0	131

prune1.1s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.6b

regimes2.5s

Accuracy

0% (1.2b remaining)

Error of 1.8b against oracle of 0.6b and baseline of 1.8b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	35
2	35
1	33
0	25

end0.0ms

sample15.8s

Algorithm

intervals

Results

8.8s	44868×	body	80	nan
3.5s	15195×	body	80	valid