Details

sample41.0ms

Algorithm

intervals

Results

22.0ms	264×	body	80	valid
1.0ms	5×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	3026
4	906
3	317
2	141
1	54
0	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.8b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

23.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
8.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
54.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series981.0ms

Counts

3 → 9

Calls

3 calls:

262.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
491.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
228.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	2209
1	588
0	185

prune574.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
0.6b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.5b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite623.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

18.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
21.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
464.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
117.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

333.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
468.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
314.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
208.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.8s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	2285
1	650
0	222

prune881.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(+ x (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y))
0.6b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.5b	(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

13.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
7.0ms	(+ x (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y))
74.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
99.0ms	(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)

series1.4s

Counts

4 → 12

Calls

4 calls:

297.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
448.0ms	(+ x (* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y))
357.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
323.0ms	(* (* z (- (tanh (/ t y)) (tanh (/ x y)))) y)

simplify1.8s

Counts

114 → 114

Iterations

Iter	Nodes
done	5003
2	2038
1	616
0	207

prune685.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (tanh (/ t y)) (tanh (/ t y)))
0.1b	(* (tanh (/ t y)) (tanh (/ t y)))
5.3b	(* (* y z) (- (* (tanh (/ t y)) (* (tanh (/ t y)) (tanh (/ t y)))) (* (tanh (/ x y)) (* (tanh (/ x y)) (tanh (/ x y))))))
12.4b	(/ (* (* y z) (- (* (tanh (/ t y)) (* (tanh (/ t y)) (tanh (/ t y)))) (* (tanh (/ x y)) (* (tanh (/ x y)) (tanh (/ x y)))))) (+ (* (tanh (/ t y)) (tanh (/ t y))) (+ (* (tanh (/ x y)) (tanh (/ x y))) (* (tanh (/ t y)) (tanh (/ x y))))))

rewrite6.1s

Algorithm

rewrite-expression-head

Rules

26523×	`frac-times`
17528×	`tanh-def`
16783×	`associate-*r/`
7938×	`frac-sub`
6780×	`frac-add`
5817×	`associate-*l/`
3971×	`associate-/l/`
3407×	`associate-/r/`
23×	`pow1`
22×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
16×	`flip3-+` `flip-+`
15×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`swap-sqr`
5×	`pow-prod-down`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `times-frac` `div-exp` `-commutative`
2×	`pow2` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-plus` `flip3--` `cube-unmult` `pow-sqr` `pow-prod-up` `flip--` `unswap-sqr`
1×	`difference-cubes` `clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 11479

Calls

4 calls:

20.0ms	(* (tanh (/ t y)) (tanh (/ t y)))
19.0ms	(* (tanh (/ t y)) (tanh (/ t y)))
1.6s	(* (* y z) (- (* (tanh (/ t y)) (* (tanh (/ t y)) (tanh (/ t y)))) (* (tanh (/ x y)) (* (tanh (/ x y)) (tanh (/ x y))))))
2.0s	(/ (* (* y z) (- (* (tanh (/ t y)) (* (tanh (/ t y)) (tanh (/ t y)))) (* (tanh (/ x y)) (* (tanh (/ x y)) (tanh (/ x y)))))) (+ (* (tanh (/ t y)) (tanh (/ t y))) (+ (* (tanh (/ x y)) (tanh (/ x y))) (* (tanh (/ t y)) (tanh (/ x y))))))

series10.3s

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (tanh (/ t y)) (tanh (/ t y)))
119.0ms	(* (tanh (/ t y)) (tanh (/ t y)))
512.0ms	(* (* y z) (- (* (tanh (/ t y)) (* (tanh (/ t y)) (tanh (/ t y)))) (* (tanh (/ x y)) (* (tanh (/ x y)) (tanh (/ x y))))))
9.5s	(/ (* (* y z) (- (* (tanh (/ t y)) (* (tanh (/ t y)) (tanh (/ t y)))) (* (tanh (/ x y)) (* (tanh (/ x y)) (tanh (/ x y)))))) (+ (* (tanh (/ t y)) (tanh (/ t y))) (+ (* (tanh (/ x y)) (tanh (/ x y))) (* (tanh (/ t y)) (tanh (/ x y))))))

simplify54.3s

Counts

11491 → 11491

Iterations

Iter	Nodes
done	29394
0	29394

prune3.2m

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes207.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s	8314×	body	80	valid
24.0ms	99×	body	640	valid
16.0ms	45×	body	1280	valid
11.0ms	58×	body	320	valid
5.0ms	37×	body	160	valid