Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	265×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	54	8
1	146	7
2	337	7
3	1017	7
4	3659	7
5	5001	7

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
1.0b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.7b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite28.0ms

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 (/ t y))
7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
11.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series753.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(tanh (/ t y))
216.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
212.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
242.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify66.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	546	1798
1	2180	1400
2	5001	1397

prune363.0ms

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))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
6.6b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

2.0ms	(tanh (/ t y))
6.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
12.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series793.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(tanh (/ t y))
337.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
216.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
160.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify88.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	763	2264
1	3267	1740
2	5001	1733

prune419.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.8b	(+ (fma (* (tanh (/ t y)) y) z x) (* (* y z) (- (tanh (/ x y)))))
6.8b	(* (tanh (/ t y)) y)
7.1b	(* (* y z) (- (tanh (/ x y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`associate-r`
12×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `fma-def` `distribute-rgt-neg-in` `associate-r/` `associate-l/` `distribute-rgt-neg-out` `distribute-neg-frac` `tanh-def`
2×	`*-commutative`
1×	`+-commutative` `neg-mul-1` `associate-+l+` `flip3-+` `unsub-neg` `sum-log` `flip-+` `fma-udef` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

2.0ms	(tanh (/ t y))
3.0ms	(+ (fma (* (tanh (/ t y)) y) z x) (* (* y z) (- (tanh (/ x y)))))
5.0ms	(* (tanh (/ t y)) y)
7.0ms	(* (* y z) (- (tanh (/ x y))))

series497.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(tanh (/ t y))
221.0ms	(+ (fma (* (tanh (/ t y)) y) z x) (* (* y z) (- (tanh (/ x y)))))
109.0ms	(* (tanh (/ t y)) y)
88.0ms	(* (* y z) (- (tanh (/ x y))))

simplify56.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	429	623
1	1932	559
2	5001	558

prune304.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* x z))
0.8b	(fma z t (- x (* x z)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 30

Calls

2 calls:

3.0ms	(- x (* x z))
1.0ms	(fma z t (- x (* x z)))

series59.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(- x (* x z))
27.0ms	(fma z t (- x (* x z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	110	154
1	326	135
2	1764	134
3	5002	117

prune254.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

22.3% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.9b

bsearch46.0ms

Steps

Iters	Range		Point
10	-2.3772933527761874e+249	-2.7097175336167483e+234	-8.257773898035373e+235

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms

sample594.0ms

Algorithm

intervals

Results

327.0ms	8297×	body	80	valid
14.0ms	94×	body	640	valid
12.0ms	43×	body	1280	valid
7.0ms	64×	body	320	valid
3.0ms	47×	body	160	valid