Details

sample51.0ms

Algorithm

intervals

Results

24.0ms	264×	body	80	valid
1.0ms	3×	body	320	valid
1.0ms	2×	body	640	valid
1.0ms	1×	body	1280	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (27.0ms)

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.3b	(- (tanh (/ t y)) (tanh (/ x y)))
0.7b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

2.0ms	(tanh (/ x y))
27.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
65.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series1.3s

Counts

4 → 12

Calls

4 calls:

122.0ms	(tanh (/ x y))
346.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
329.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
491.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify1.2s

Counts

126 → 126

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	221	3259
1	561	2726
2	1840	2366
done	5000	2137

prune569.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.3b	(- (tanh (/ t y)) (tanh (/ x y)))
5.4b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite110.0ms

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:

4.0ms	(tanh (/ t y))
4.0ms	(tanh (/ x y))
33.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
60.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series887.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(tanh (/ t y))
133.0ms	(tanh (/ x y))
339.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
279.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify1.6s

Counts

128 → 128

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	217	3360
1	634	2813
2	2435	2449
done	5000	2218

prune541.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

3.5b	(/ (* t z) y)
9.3b	(fma y (/ (* t z) y) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

10.0ms	(/ (* t z) y)
0.0ms	(fma y (/ (* t z) y) x)

series100.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (* t z) y)
67.0ms	(fma y (/ (* t z) y) x)

simplify3.0s

Counts

39 → 39

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	64	324
1	132	315
2	439	269
3	1969	269
done	5000	225

prune117.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* z t) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `fma-def` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 14

Calls

1 calls:

13.0ms

(+ (* z t) x)

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(+ (* z t) x)

simplify3.5s

Counts

17 → 17

Iterations

Useful iterations: 3 (232.0ms)

Iter	Nodes	Cost
0	30	136
1	91	115
2	260	107
3	673	105
4	1949	105
done	5001	105

prune67.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes243.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	12	14
done	12	14

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s	8296×	body	80	valid
57.0ms	65×	body	320	valid
29.0ms	92×	body	640	valid
25.0ms	49×	body	1280	valid
5.0ms	30×	body	160	valid