Details

sample495.0ms

Algorithm

intervals

Results

244.0ms	1531×	body	80	nan
116.0ms	487×	body	80	valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
6	8048
5	1465
4	479
3	179
2	71
1	33
0	17

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.3b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite291.0ms

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:

22.0ms	(* (- t 1.0) (log a))
7.0ms	(* y (log z))
85.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
174.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series551.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (- t 1.0) (log a))
48.0ms	(* y (log z))
180.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
222.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify2.8s

Counts

128 → 128

Iterations

Iter	Nodes
3	5835
2	1595
1	598
0	281

prune2.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.9b	(exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))
1.3b	(/ (* x (exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
553.0ms	(exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))
1.3s	(/ (* x (exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

299.0ms	(cbrt z)
294.0ms	(cbrt z)
344.0ms	(exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))
341.0ms	(/ (* x (exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)

simplify3.6s

Counts

97 → 97

Iterations

Iter	Nodes
3	5472
2	1322
1	453
0	203

prune2.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize117.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.4s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

524.0ms	(exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))
1.2s	(/ (* x (exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)
1.3s	(/ (* x (exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)
1.4s	(/ (* x (exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

271.0ms	(exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))
339.0ms	(/ (* x (exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)
335.0ms	(/ (* x (exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)
370.0ms	(/ (* x (exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)

simplify3.2s

Counts

119 → 119

Iterations

Iter	Nodes
3	5362
2	1288
1	436
0	190

prune2.9s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.7b

localize128.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.7s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

583.0ms	(exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))
574.0ms	(exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))
1.2s	(/ (* x (exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)
1.3s	(/ (* x (exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

223.0ms	(exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))
243.0ms	(exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))
355.0ms	(/ (* x (exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)
310.0ms	(/ (* x (exp (- (+ (+ (* (log (cbrt z)) (+ y y)) (* y (log (cbrt z)))) (* (- t 1.0) (log a))) b))) y)

simplify2.7s

Counts

126 → 126

Iterations

Iter	Nodes
3	5362
2	1288
1	436
0	190

prune3.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.7b

regimes2.5s

Accuracy

0% (1.2b remaining)

Error of 1.9b against oracle of 0.7b and baseline of 1.9b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	37
1	37
0	29

end0.0ms

sample13.5s

Algorithm

intervals

Results

7.4s	46042×	body	80	nan
3.0s	15453×	body	80	valid
1.0ms	1×	body	160	valid