Details

sample826.0ms

Algorithm

intervals

Results

491.0ms	467×	body	80	valid
244.0ms	1289×	body	80	nan

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
6	7927
5	1480
4	462
3	167
2	63
1	32
0	17

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
0.3b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite305.0ms

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))
13.0ms	(* y (log z))
197.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
77.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series509.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (- t 1.0) (log a))
46.0ms	(* y (log z))
238.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
159.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.3s

Counts

111 → 111

Iterations

Iter	Nodes
3	5493
2	1407
1	518
0	237

prune1.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.8b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* 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)
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))

rewrite951.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-log-exp`
18×	`add-exp-log`
15×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity` `exp-diff`
14×	`add-cbrt-cube`
12×	`cbrt-div`
10×	`associate-*r/`
9×	`exp-sum` `add-cube-cbrt` `rem-exp-log`
7×	`associate-/l/`
6×	`diff-log` `prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16`
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 → 93

Calls

4 calls:

705.0ms	(/ (* 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)
79.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
74.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
91.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series729.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(/ (* 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)
153.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
159.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
166.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify3.0s

Counts

105 → 105

Iterations

Iter	Nodes
3	5515
2	1246
1	395
0	161

prune2.3s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.7b

localize74.0ms

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))

rewrite316.0ms

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:

78.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
68.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
86.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
82.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series633.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
162.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
143.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
172.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.2s

Counts

92 → 92

Iterations

Iter	Nodes
4	5864
3	1287
2	402
1	169
0	79

prune2.3s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.7b

localize143.0ms

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))

rewrite325.0ms

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:

95.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
72.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
72.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
84.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series698.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
166.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
163.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
201.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify2.3s

Counts

92 → 92

Iterations

Iter	Nodes
4	5864
3	1287
2	402
1	169
0	79

prune2.8s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.7b

regimes2.4s

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
2	36
1	36
0	28

end0.0ms

sample15.7s

Algorithm

intervals

Results

9.4s	46061×	body	80	nan
3.0s	15317×	body	80	valid