Details

sample56.0ms

Algorithm

intervals

Results

26.0ms	269×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid

simplify14.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3028
4	928
3	321
2	146
1	54
0	12

prune100.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.1b	(- (tanh (/ t y)) (tanh (/ x y)))
6.6b	(fma (- (tanh (/ t y)) (tanh (/ x y))) (* z y) x)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff` `frac-sub`
8×	`tanh-def`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 71

Calls

4 calls:

4.0ms	(tanh (/ t y))
4.0ms	(tanh (/ x y))
48.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
1.0ms	(fma (- (tanh (/ t y)) (tanh (/ x y))) (* z y) x)

series2.9s

Counts

4 → 12

Calls

4 calls:

467.0ms	(tanh (/ t y))
587.0ms	(tanh (/ x y))
1.0s	(- (tanh (/ t y)) (tanh (/ x y)))
808.0ms	(fma (- (tanh (/ t y)) (tanh (/ x y))) (* z y) x)

simplify8.2s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1502
1	457
0	163

prune2.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* z (- t x)))
0.0b	(* z (- t x))

rewrite582.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
33×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
29×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
5×	`associate-r`
4×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-l`
2×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 84

Calls

2 calls:

22.0ms	(+ x (* z (- t x)))
87.0ms	(* z (- t x))

series276.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(+ x (* z (- t x)))
155.0ms	(* z (- t x))

simplify13.0s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
3	3187
2	801
1	329
0	143

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize184.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
61.3b	(fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x))))

series4.6s

Counts

4 → 12

Calls

4 calls:

521.0ms	(cbrt x)
1.1s	(cbrt x)
487.0ms	(cbrt x)
2.5s	(fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x))))

simplify26.2s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
4	2101
3	430
2	153
1	72
0	40

prune1.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize256.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (tanh (/ t y)) (tanh (/ x y)))
0.2b	(* (sqrt (fma (- (tanh (/ t y)) (tanh (/ x y))) (* z y) x)) (sqrt (fma (- (tanh (/ t y)) (tanh (/ x y))) (* z y) x)))
6.6b	(fma (- (tanh (/ t y)) (tanh (/ x y))) (* z y) x)
6.6b	(fma (- (tanh (/ t y)) (tanh (/ x y))) (* z y) x)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`pow1` `add-cube-cbrt`
18×	`sqrt-prod`
9×	`prod-diff` `frac-sub`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `tanh-def` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
3×	`fma-neg` `pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 108

Calls

4 calls:

30.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
44.0ms	(* (sqrt (fma (- (tanh (/ t y)) (tanh (/ x y))) (* z y) x)) (sqrt (fma (- (tanh (/ t y)) (tanh (/ x y))) (* z y) x)))
1.0ms	(fma (- (tanh (/ t y)) (tanh (/ x y))) (* z y) x)
1.0ms	(fma (- (tanh (/ t y)) (tanh (/ x y))) (* z y) x)

series5.7s

Counts

4 → 12

Calls

4 calls:

1.4s	(- (tanh (/ t y)) (tanh (/ x y)))
1.5s	(* (sqrt (fma (- (tanh (/ t y)) (tanh (/ x y))) (* z y) x)) (sqrt (fma (- (tanh (/ t y)) (tanh (/ x y))) (* z y) x)))
1.5s	(fma (- (tanh (/ t y)) (tanh (/ x y))) (* z y) x)
1.3s	(fma (- (tanh (/ t y)) (tanh (/ x y))) (* z y) x)

simplify7.6s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	1651
1	514
0	194

prune3.0s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes1.0s

Accuracy

47.7% (2.4b remaining)

Error of 2.6b against oracle of 0.2b and baseline of 4.7b

bsearch224.0ms

Steps

Iters	Range		Point
7	7.806958094410679e+180	8.948259600021488e+182	9.400818729820712e+181
11	-1.4699374963004438e+223	-8.098776682452009e+199	-7.25999807269276e+217

simplify13.0ms

Iterations

Iter	Nodes
done	34
1	34
0	28

end0.0ms

sample4.3s

Algorithm

intervals

Results

3.2s	8312×	body	80	valid
341.0ms	98×	body	640	valid
174.0ms	48×	body	1280	valid
32.0ms	59×	body	320	valid
6.0ms	30×	body	160	valid