Details

sample28.0ms

Algorithm

intervals

Results

13.0ms	272×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	320	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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
4.4b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
14×	`tanh-def`
11×	`associate-*r/`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
6×	`add-log-exp`
5×	`associate-r` `add-cube-cbrt`
3×	`sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `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))
18.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
82.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series752.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(tanh (/ x y))
113.0ms	(tanh (/ t y))
270.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
221.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.9s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1988
1	520
0	165

prune560.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
1.3b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
2.5b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
27×	`frac-sub`
19×	`tanh-def`
13×	`add-sqr-sqrt`
11×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
10×	`distribute-rgt-in` `distribute-lft-in`
7×	`sub-neg` `add-cube-cbrt`
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:

3.0ms	(tanh (/ x y))
14.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
40.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
74.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

152.0ms	(tanh (/ x y))
334.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
330.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
322.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify2.0s

Counts

117 → 117

Iterations

Iter	Nodes
done	5003
2	2058
1	573
0	195

prune894.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
1.3b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.3b	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
1.4b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite397.0ms

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×	`add-log-exp`
3×	`flip3--` `*-commutative` `flip--`
1×	`pow1/3` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

1.0ms	(cbrt y)
42.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
103.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
246.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt y)
332.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
475.0ms	(* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y)))))
302.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* z (- (tanh (/ t y)) (tanh (/ x y))))))

simplify2.6s

Counts

153 → 153

Iterations

Iter	Nodes
done	5001
2	2803
1	734
0	232

prune997.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z)
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
2.4b	(* y (- (tanh (/ t y)) (tanh (/ x y))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

1.0ms	(tanh (/ t y))
85.0ms	(* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z)
20.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
58.0ms	(* y (- (tanh (/ t y)) (tanh (/ x y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

97.0ms	(tanh (/ t y))
368.0ms	(* (* y (- (tanh (/ t y)) (tanh (/ x y)))) z)
371.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
315.0ms	(* y (- (tanh (/ t y)) (tanh (/ x y))))

simplify2.1s

Counts

109 → 109

Iterations

Iter	Nodes
done	5004
2	1843
1	545
0	184

prune964.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes320.0ms

Accuracy

17.3% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.4b

bsearch37.0ms

Steps

Iters	Range		Point
5	-1.3461928284248461e+209	-4.020065562148192e+208	-9.359237286875138e+208

simplify7.0ms

Iterations

Iter	Nodes
done	28
1	28
0	21

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	8322×	body	80	valid
24.0ms	86×	body	640	valid
22.0ms	55×	body	1280	valid
12.0ms	60×	body	320	valid
4.0ms	29×	body	160	valid