Details

sample45.0ms

Algorithm

intervals

Results

21.0ms	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

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	3035
4	928
3	321
2	146
1	54
0	12

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
4.3b	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff` `frac-sub`
8×	`tanh-def`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`fma-neg`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 71

Calls

4 calls:

2.0ms	(tanh (/ t y))
2.0ms	(tanh (/ x y))
11.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
0.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

121.0ms	(tanh (/ t y))
131.0ms	(tanh (/ x y))
337.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
495.0ms	(fma (* z y) (- (tanh (/ t y)) (tanh (/ x y))) x)

simplify1.4s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1491
1	450
0	161

prune619.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.4b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.2b	(expm1 (- (tanh (/ t y)) (tanh (/ x y))))
4.3b	(fma (* z y) (log1p (expm1 (- (tanh (/ t y)) (tanh (/ x y))))) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`prod-diff` `frac-sub`
7×	`tanh-def`
6×	`add-log-exp`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log`
3×	`fma-neg`
1×	`expm1-log1p` `sub-neg` `flip3--` `diff-log` `fma-udef` `flip--` `distribute-lft-out--` `expm1-udef` `difference-of-squares`

Counts

4 → 70

Calls

4 calls:

2.0ms	(tanh (/ t y))
11.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
0.0ms	(expm1 (- (tanh (/ t y)) (tanh (/ x y))))
0.0ms	(fma (* z y) (log1p (expm1 (- (tanh (/ t y)) (tanh (/ x y))))) x)

series1.6s

Counts

4 → 12

Calls

4 calls:

102.0ms	(tanh (/ t y))
303.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
499.0ms	(expm1 (- (tanh (/ t y)) (tanh (/ x y))))
692.0ms	(fma (* z y) (log1p (expm1 (- (tanh (/ t y)) (tanh (/ x y))))) x)

simplify1.8s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1560
1	474
0	172

prune657.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.2b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

87.0ms	(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)
3.0ms	(tanh (/ x y))
19.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
41.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

526.0ms	(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)
125.0ms	(tanh (/ x y))
330.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
364.0ms	(* (- (tanh (/ t y)) (tanh (/ x y))) y)

simplify1.9s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
2	2107
1	622
0	223

prune934.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* t z) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

17.0ms

(+ (* t z) x)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(+ (* t z) x)

simplify2.9s

Counts

17 → 17

Iterations

Iter	Nodes
done	5003
4	1943
3	680
2	258
1	88
0	29

prune82.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes287.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	8322×	body	80	valid
23.0ms	86×	body	640	valid
21.0ms	55×	body	1280	valid
13.0ms	60×	body	320	valid
4.0ms	29×	body	160	valid