Details

sample72.0ms

Algorithm

intervals

Results

45.0ms	266×	body	80	valid
3.0ms	4×	body	640	valid
1.0ms	1×	body	1280	valid
1.0ms	2×	body	320	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	4647
4	959
3	322
2	142
1	54
0	12

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(tanh (/ x y))
5.4b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

11×	`associate-*r/`
9×	`pow1` `add-cbrt-cube` `add-exp-log` `frac-sub`
8×	`tanh-def`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-r` `add-cube-cbrt`
4×	`distribute-rgt-in` `associate-+r+` `sub-neg` `distribute-lft-in` `insert-posit16`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `associate-l` `*-commutative` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

4.0ms	(tanh (/ t y))
6.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
1.0ms	(tanh (/ x y))
47.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series1.0s

Counts

4 → 12

Calls

4 calls:

125.0ms	(tanh (/ t y))
495.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
110.0ms	(tanh (/ x y))
274.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.9s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	2846
1	521
0	179

prune524.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.0b	(tanh (/ x y))
1.2b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.5b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
18×	`distribute-rgt-in` `distribute-lft-in` `frac-sub`
13×	`tanh-def`
11×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
10×	`sub-neg`
9×	`*-un-lft-identity`
8×	`associate-+r+`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

8.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
1.0ms	(tanh (/ x y))
34.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
65.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

463.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
111.0ms	(tanh (/ x y))
263.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
204.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.7s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
2	2438
1	566
0	206

prune705.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
1.2b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.6b	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
2.2b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

66×	`associate-*r/`
34×	`distribute-rgt-in` `distribute-lft-in`
32×	`pow1` `add-exp-log`
27×	`frac-sub`
20×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`tanh-def`
14×	`sub-neg`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`associate-l`
9×	`add-cube-cbrt`
7×	`associate-r`
6×	`cbrt-prod`
4×	`insert-posit16` `add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
1×	`pow1/3` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 145

Calls

4 calls:

1.0ms	(cbrt y)
33.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
64.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
168.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt y)
289.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
444.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
282.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify2.4s

Counts

157 → 157

Iterations

Iter	Nodes
done	5001
2	4004
1	750
0	236

prune992.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.7b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
1.8b	(* z (tanh (/ x y)))
5.4b	(* y (* z (tanh (/ x y))))
5.6b	(* (tanh (/ t y)) y)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`-un-lft-identity` `associate-l` `associate-r/` `add-cube-cbrt`
7×	`associate-r`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `tanh-def` `add-log-exp`
3×	`associate-l/` `-commutative`
2×	`unswap-sqr`

Counts

4 → 77

Calls

4 calls:

3.0ms	(tanh (/ x y))
18.0ms	(* z (tanh (/ x y)))
39.0ms	(* y (* z (tanh (/ x y))))
18.0ms	(* (tanh (/ t y)) y)

series581.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(tanh (/ x y))
130.0ms	(* z (tanh (/ x y)))
132.0ms	(* y (* z (tanh (/ x y))))
198.0ms	(* (tanh (/ t y)) y)

simplify1.7s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	1437
1	318
0	132

prune506.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

regimes247.0ms

Accuracy

0% (1.6b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 1.7b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	33
2	33
1	25
0	15

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.3s	8359×	body	80	valid
44.0ms	84×	body	640	valid
44.0ms	59×	body	320	valid
32.0ms	41×	body	1280	valid
9.0ms	37×	body	160	valid