Details

sample507.0ms

Algorithm

intervals

Results

261.0ms	1396×	body	80	nan
124.0ms	489×	body	80	valid

simplify5.1s

Counts

1 → 1

Iterations

Iter	Nodes
6	7660
5	1421
4	477
3	179
2	71
1	33
0	17

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite672.0ms

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` `insert-posit16` `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 → 116

Calls

4 calls:

34.0ms	(* (- t 1.0) (log a))
14.0ms	(* y (log z))
71.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
550.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series519.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (- t 1.0) (log a))
40.0ms	(* y (log z))
155.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
252.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify4.3s

Counts

128 → 128

Iterations

Iter	Nodes
3	5841
2	1598
1	597
0	281

prune2.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.8b

localize77.0ms

Local error

Found 4 expressions with local error:

1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

36×	`exp-sum`
33×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff` `add-cube-cbrt`
22×	`add-log-exp`
18×	`add-exp-log`
15×	`exp-prod` `exp-diff`
14×	`add-cbrt-cube`
12×	`cbrt-div`
10×	`associate-*r/`
9×	`rem-exp-log`
7×	`associate-/l/`
6×	`diff-log` `prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `sum-log` `sub-neg` `times-frac` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 128

Calls

4 calls:

67.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
86.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
74.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
882.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series754.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
170.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
166.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
254.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify3.3s

Counts

140 → 140

Iterations

Iter	Nodes
3	5773
2	1433
1	466
0	201

prune3.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.7b

localize64.0ms

Local error

Found 4 expressions with local error:

1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.1b	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

rewrite979.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `*-un-lft-identity`
28×	`add-cube-cbrt`
27×	`prod-diff`
24×	`exp-sum`
19×	`add-exp-log`
16×	`add-log-exp`
14×	`add-cbrt-cube`
12×	`unpow-prod-up` `cbrt-div`
10×	`exp-prod` `exp-diff` `associate-*r/`
7×	`associate-/l/`
6×	`prod-exp` `cbrt-unprod` `rem-exp-log`
5×	`frac-times` `pow1` `pow-unpow` `associate-*l/` `pow-sub`
4×	`expm1-log1p-u` `cbrt-undiv` `diff-log` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `sub-neg` `unpow-prod-down` `times-frac` `associate--l+` `distribute-lft-out--` `difference-of-squares`
2×	`sum-log` `pow-exp`
1×	`pow-to-exp` `e-exp-1` `clear-num` `pow-pow` `frac-2neg` `div-inv` `associate-/l*` `sqr-pow`

Counts

4 → 133

Calls

4 calls:

75.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
67.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
20.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
814.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series833.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
152.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
157.0ms	(pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
341.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (pow E (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify3.1s

Counts

145 → 145

Iterations

Iter	Nodes
3	6348
2	1870
1	629
0	253

prune3.3s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 0.7b

localize91.0ms

Local error

Found 4 expressions with local error:

1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
1.2b	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
1.2b	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
37×	`exp-diff`
36×	`cbrt-div`
34×	`add-cbrt-cube`
30×	`associate-*r/`
21×	`associate-/l/`
19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-exp` `cbrt-unprod`
17×	`add-cube-cbrt`
15×	`frac-times` `associate-*l/`
12×	`cbrt-undiv` `div-exp` `exp-sum`
10×	`add-log-exp`
9×	`associate-/r*` `times-frac` `prod-diff`
5×	`exp-prod`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `div-inv` `associate-/l*` `rem-exp-log`
2×	`diff-log`
1×	`sum-log` `sub-neg` `associate--l+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 136

Calls

4 calls:

92.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
746.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
786.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
690.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series794.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
196.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
233.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)
235.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify2.8s

Counts

148 → 148

Iterations

Iter	Nodes
3	5773
2	1433
1	466
0	201

prune3.2s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 0.6b

regimes2.7s

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	32
1	32
0	25

end0.0ms

sample15.9s

Algorithm

intervals

Results

9.4s	47140×	body	80	nan
2.9s	15368×	body	80	valid