Details

sample58.0ms

Algorithm

intervals

Results

26.0ms	270×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.5b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

18.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
51.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series895.0ms

Counts

2 → 6

Calls

2 calls:

561.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
333.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	5002
2	2635
1	484
0	157

prune392.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.2b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
1.5b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.0b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 91

Calls

3 calls:

15.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
40.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
79.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.3s

Counts

3 → 9

Calls

3 calls:

591.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
379.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
292.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.1s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	2328
1	548
0	193

prune675.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.2b

localize28.0ms

Local error

Found 4 expressions with local error:

2.3b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.3b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
2.3b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
4.3b	(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

297×	`cbrt-div`
243×	`frac-sub`
162×	`tanh-def`
154×	`associate-*r/`
121×	`frac-times`
27×	`flip3--` `flip--`
16×	`pow1` `add-exp-log`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cbrt-cube`
11×	`associate-*l/`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt`
4×	`add-log-exp`
3×	`pow1/3` `distribute-lft-out--` `difference-of-squares`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 237

Calls

4 calls:

10.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
12.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
227.0ms	(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

series2.5s

Counts

4 → 12

Calls

4 calls:

590.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
525.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
675.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
733.0ms	(* (* y z) (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))))

simplify2.3s

Counts

249 → 249

Iterations

Iter	Nodes
done	5000
2	4470
1	1461
0	509

prune4.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 1.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (+ (tanh (/ t y)) (tanh (/ x y))) (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))) (+ (tanh (/ t y)) (tanh (/ x y)))))
0.5b	(* (+ (tanh (/ t y)) (tanh (/ x y))) (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z)))
3.8b	(/ (* (+ (tanh (/ t y)) (tanh (/ x y))) (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))) (+ (tanh (/ t y)) (tanh (/ x y))))
5.5b	(* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))

rewrite564.0ms

Algorithm

rewrite-expression-head

Rules

300×	`tanh-def`
297×	`associate-*l/`
242×	`frac-times`
225×	`frac-add` `frac-sub`
143×	`associate-/l/`
32×	`add-cbrt-cube` `add-exp-log`
26×	`flip3-+` `flip-+`
25×	`flip3--` `flip--`
22×	`associate-*r/`
18×	`pow1` `*-un-lft-identity`
15×	`prod-exp` `cbrt-unprod`
11×	`associate-/r/`
10×	`add-sqr-sqrt`
9×	`associate-l` `pow-prod-down`
8×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`cbrt-undiv` `associate-/r*` `times-frac` `div-exp` `distribute-lft-out`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 389

Calls

4 calls:

30.0ms	(+ x (/ (* (+ (tanh (/ t y)) (tanh (/ x y))) (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))) (+ (tanh (/ t y)) (tanh (/ x y)))))
199.0ms	(* (+ (tanh (/ t y)) (tanh (/ x y))) (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z)))
227.0ms	(/ (* (+ (tanh (/ t y)) (tanh (/ x y))) (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))) (+ (tanh (/ t y)) (tanh (/ x y))))
73.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))

series2.9s

Counts

4 → 12

Calls

4 calls:

523.0ms	(+ x (/ (* (+ (tanh (/ t y)) (tanh (/ x y))) (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))) (+ (tanh (/ t y)) (tanh (/ x y)))))
1.3s	(* (+ (tanh (/ t y)) (tanh (/ x y))) (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z)))
521.0ms	(/ (* (+ (tanh (/ t y)) (tanh (/ x y))) (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))) (+ (tanh (/ t y)) (tanh (/ x y))))
486.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))

simplify1.1s

Counts

401 → 401

Iterations

Iter	Nodes
done	5001
1	2505
0	651

prune5.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes263.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

791.0ms	8359×	body	80	valid
24.0ms	83×	body	640	valid
18.0ms	72×	body	320	valid
15.0ms	45×	body	1280	valid
6.0ms	40×	body	160	valid