Details

sample25.0ms

Algorithm

intervals

Results

10.0ms	271×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	12	15
1	54	15
2	147	14
3	334	14
4	996	14
5	3305	14
done	5000	14

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
0.2b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.5b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
9×	`frac-sub`
8×	`tanh-def`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`sub-neg`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

2.0ms	(tanh (/ x y))
2.0ms	(tanh (/ t y))
48.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series706.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(tanh (/ x y))
90.0ms	(tanh (/ t y))
243.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
285.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify673.0ms

Counts

101 → 101

Iterations

Useful iterations: done (669.0ms)

Iter	Nodes	Cost
0	205	2180
1	476	1819
2	1550	1567
done	5000	1413

prune308.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) x)
1.7b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
1.7b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
1.7b	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
27×	`frac-sub`
18×	`tanh-def`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 88

Calls

4 calls:

0.0ms	(fma y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) x)
11.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
14.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
11.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

281.0ms	(fma y (* (* z (* (cbrt (- (tanh (/ t y)) (tanh (/ x y)))) (cbrt (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (- (tanh (/ t y)) (tanh (/ x y))))) x)
401.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
402.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))
407.0ms	(cbrt (- (tanh (/ t y)) (tanh (/ x y))))

simplify702.0ms

Counts

100 → 100

Iterations

Useful iterations: done (698.0ms)

Iter	Nodes	Cost
0	186	3407
1	507	3320
2	1534	2939
done	5000	2876

prune521.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
3.9b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
24×	`add-cube-cbrt`
18×	`frac-sub`
14×	`tanh-def`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

4 → 116

Calls

4 calls:

15.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms	(tanh (/ t y))
2.0ms	(tanh (/ x y))
54.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series607.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
88.0ms	(tanh (/ t y))
88.0ms	(tanh (/ x y))
180.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.1s

Counts

128 → 128

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	217	3360
1	634	2813
2	2437	2449
done	5002	2218

prune371.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (tanh (/ x y)) (tanh (/ x y)))
0.1b	(pow (tanh (/ t y)) 3)
5.4b	(* (* y z) (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)))
11.2b	(/ (* (* y z) (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3))) (+ (* (tanh (/ t y)) (tanh (/ t y))) (+ (* (tanh (/ x y)) (tanh (/ x y))) (* (tanh (/ t y)) (tanh (/ x y))))))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

6780×	`frac-add`
6102×	`frac-times`
5437×	`tanh-def`
3407×	`associate-/r/`
2056×	`associate-*r/`
2034×	`associate-*l/`
288×	`prod-diff`
184×	`add-sqr-sqrt`
168×	`*-un-lft-identity`
159×	`unpow-prod-down` `cube-prod`
158×	`add-cube-cbrt`
146×	`distribute-rgt-in` `distribute-lft-in`
57×	`sqr-pow`
49×	`cube-mult` `unpow3`
39×	`cube-div`
28×	`associate-r`
21×	`add-exp-log` `add-cbrt-cube`
18×	`frac-sub`
17×	`pow1`
16×	`flip3-+` `flip-+` `difference-of-squares`
11×	`associate-/l/`
7×	`prod-exp` `cbrt-unprod`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `times-frac` `swap-sqr` `div-exp` `associate-/r*`
2×	`sub-neg` `flip3--` `*-commutative` `flip--`
1×	`difference-cubes` `pow2` `pow-to-exp` `pow-pow` `frac-2neg` `pow-plus` `pow-exp` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 3858

Calls

4 calls:

20.0ms	(* (tanh (/ x y)) (tanh (/ x y)))
4.0ms	(pow (tanh (/ t y)) 3)
127.0ms	(* (* y z) (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)))
444.0ms	(/ (* (* y z) (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3))) (+ (* (tanh (/ t y)) (tanh (/ t y))) (+ (* (tanh (/ x y)) (tanh (/ x y))) (* (tanh (/ t y)) (tanh (/ x y))))))

series17.8s

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (tanh (/ x y)) (tanh (/ x y)))
137.0ms	(pow (tanh (/ t y)) 3)
394.0ms	(* (* y z) (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)))
17.1s	(/ (* (* y z) (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3))) (+ (* (tanh (/ t y)) (tanh (/ t y))) (+ (* (tanh (/ x y)) (tanh (/ x y))) (* (tanh (/ t y)) (tanh (/ x y))))))

simplify4.6s

Counts

3870 → 3870

Iterations

Useful iterations: 0 (1.0s)

Iter	Nodes	Cost
0	13752	524303
done	13752	524303

prune40.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

regimes172.0ms

Accuracy

81% (0.9b remaining)

Error of 1.1b against oracle of 0.2b and baseline of 4.8b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	22	69
1	31	61
done	31	61

end0.0ms

sample658.0ms

Algorithm

intervals

Results

314.0ms	8325×	body	80	valid
14.0ms	101×	body	640	valid
10.0ms	48×	body	1280	valid
9.0ms	60×	body	320	valid
3.0ms	42×	body	160	valid