Details

sample55.0ms

Algorithm

intervals

Results

24.0ms	261×	body	80	valid
3.0ms	8×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	54	15
2	142	15
3	322	15
4	959	15
5	4656	15
done	5000	15

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
0.3b	(- (tanh (/ t y)) (tanh (/ x y)))
4.9b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

2.0ms	(tanh (/ x y))
2.0ms	(tanh (/ t y))
15.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
64.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series725.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(tanh (/ x y))
93.0ms	(tanh (/ t y))
316.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
212.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.2s

Counts

90 → 90

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	165	1855
1	520	1823
2	2584	1733
done	5002	1729

prune410.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.2b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.3b	(- (tanh (/ t y)) (tanh (/ x y)))
2.0b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

2.0ms	(tanh (/ t y))
57.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
25.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
133.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

135.0ms	(tanh (/ t y))
387.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
386.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
277.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify1.0s

Counts

117 → 117

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	191	2513
1	563	2486
2	2222	2356
done	5002	2350

prune534.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.9b	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
1.4b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite489.0ms

Algorithm

rewrite-expression-head

Rules

55×	`associate-*r/`
32×	`distribute-rgt-in` `distribute-lft-in`
30×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `frac-sub` `add-cbrt-cube` `cbrt-unprod`
12×	`sub-neg` `tanh-def`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
4×	`add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 117

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
126.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
348.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt y)
245.0ms	(cbrt y)
613.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
314.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify2.3s

Counts

129 → 129

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	211	2877
1	705	2851
2	3461	2285
done	5000	2058

prune505.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* y (* (tanh (/ t y)) z)) (* z (* (- (tanh (/ x y))) y)))
1.4b	(* (tanh (/ t y)) z)
4.5b	(* (- (tanh (/ x y))) y)
4.6b	(* y (* (tanh (/ t y)) z))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

27×	`associate-*l/`
21×	`associate-*r/`
16×	`associate-l`
15×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`distribute-neg-frac`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`frac-add` `tanh-def`
7×	`associate-r`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative`
2×	`distribute-rgt-neg-out` `unswap-sqr`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `sum-log` `flip-+`

Counts

4 → 93

Calls

4 calls:

59.0ms	(+ (* y (* (tanh (/ t y)) z)) (* z (* (- (tanh (/ x y))) y)))
22.0ms	(* (tanh (/ t y)) z)
32.0ms	(* (- (tanh (/ x y))) y)
45.0ms	(* y (* (tanh (/ t y)) z))

series785.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(+ (* y (* (tanh (/ t y)) z)) (* z (* (- (tanh (/ x y))) y)))
163.0ms	(* (tanh (/ t y)) z)
194.0ms	(* (- (tanh (/ x y))) y)
170.0ms	(* y (* (tanh (/ t y)) z))

simplify2.3s

Counts

105 → 105

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	205	1714
1	644	1669
2	3233	1533
done	5002	1527

prune422.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

regimes143.0ms

Accuracy

0% (1.3b remaining)

Error of 1.7b against oracle of 0.4b and baseline of 1.7b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	20
1	23	20
2	31	20
3	35	20
done	35	20

end0.0ms

sample1.5s

Algorithm

intervals

Results

999.0ms	8317×	body	80	valid
23.0ms	96×	body	640	valid
11.0ms	60×	body	320	valid
8.0ms	27×	body	1280	valid
4.0ms	31×	body	160	valid