Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	267×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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: 1.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ t y))
0.3b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.1b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite25.0ms

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:

7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms	(tanh (/ t y))
11.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series772.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
81.0ms	(tanh (/ t y))
215.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
253.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify68.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (53.0ms)

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

prune359.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(tanh (/ t y))
5.9b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite35.0ms

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:

8.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
6.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms	(tanh (/ t y))
14.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series813.0ms

Counts

4 → 12

Calls

4 calls:

232.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
334.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
82.0ms	(tanh (/ t y))
164.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify93.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (75.0ms)

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

prune428.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ t y))
0.1b	(pow (tanh (/ t y)) 3)
5.9b	(* (* y z) (- (cbrt (pow (tanh (/ t y)) 3)) (tanh (/ x y))))
12.3b	(cbrt (pow (tanh (/ t y)) 3))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

90×	`prod-diff`
88×	`cbrt-prod`
74×	`add-sqr-sqrt`
67×	`*-un-lft-identity`
65×	`add-cube-cbrt`
47×	`distribute-rgt-in` `distribute-lft-in`
25×	`unpow-prod-down` `cube-prod`
15×	`cube-div`
12×	`cbrt-div`
11×	`associate-*r/`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-r` `frac-sub` `tanh-def` `sqr-pow`
8×	`cube-mult` `unpow3`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg`
1×	`pow-to-exp` `flip3--` `pow-pow` `pow1/3` `associate-l` `pow-exp` `*-commutative` `flip--` `rem-cbrt-cube` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 197

Calls

4 calls:

2.0ms	(tanh (/ t y))
4.0ms	(pow (tanh (/ t y)) 3)
21.0ms	(* (* y z) (- (cbrt (pow (tanh (/ t y)) 3)) (tanh (/ x y))))
4.0ms	(cbrt (pow (tanh (/ t y)) 3))

series451.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(tanh (/ t y))
124.0ms	(pow (tanh (/ t y)) 3)
164.0ms	(* (* y z) (- (cbrt (pow (tanh (/ t y)) 3)) (tanh (/ x y))))
83.0ms	(cbrt (pow (tanh (/ t y)) 3))

simplify104.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	931	3679
1	3678	2347
2	5001	2279

prune379.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (tanh (/ t y)) 3)
0.1b	(pow (tanh (/ x y)) 3)
5.9b	(* (* y z) (/ (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) (fma (tanh (/ x y)) (+ (tanh (/ t y)) (tanh (/ x y))) (* (tanh (/ t y)) (tanh (/ t y))))))
11.2b	(/ (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) (fma (tanh (/ x y)) (+ (tanh (/ t y)) (tanh (/ x y))) (* (tanh (/ t y)) (tanh (/ t y)))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

237×	`add-sqr-sqrt`
150×	`times-frac`
139×	`*-un-lft-identity`
112×	`difference-of-squares`
90×	`unpow-prod-down` `cube-prod`
79×	`associate-r`
69×	`add-cube-cbrt`
58×	`sqr-pow`
35×	`distribute-lft-out--`
25×	`associate-/l*`
24×	`cube-div`
20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `associate-/l/`
9×	`frac-sub`
8×	`tanh-def`
7×	`difference-cubes`
6×	`pow-unpow` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r*`
2×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3` `pow-exp` `div-inv` `rem-cube-cbrt`
1×	`flip3--` `frac-2neg` `div-sub` `associate-r/` `associate-l` `clear-num` `-commutative` `flip--`

Counts

4 → 286

Calls

4 calls:

4.0ms	(pow (tanh (/ t y)) 3)
4.0ms	(pow (tanh (/ x y)) 3)
27.0ms	(* (* y z) (/ (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) (fma (tanh (/ x y)) (+ (tanh (/ t y)) (tanh (/ x y))) (* (tanh (/ t y)) (tanh (/ t y))))))
34.0ms	(/ (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) (fma (tanh (/ x y)) (+ (tanh (/ t y)) (tanh (/ x y))) (* (tanh (/ t y)) (tanh (/ t y)))))

series20.0s

Counts

4 → 12

Calls

4 calls:

131.0ms	(pow (tanh (/ t y)) 3)
122.0ms	(pow (tanh (/ x y)) 3)
16.2s	(* (* y z) (/ (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) (fma (tanh (/ x y)) (+ (tanh (/ t y)) (tanh (/ x y))) (* (tanh (/ t y)) (tanh (/ t y))))))
3.5s	(/ (- (pow (tanh (/ t y)) 3) (pow (tanh (/ x y)) 3)) (fma (tanh (/ x y)) (+ (tanh (/ t y)) (tanh (/ x y))) (* (tanh (/ t y)) (tanh (/ t y)))))

simplify91.0ms

Algorithm

egg-herbie

Counts

298 → 298

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1057	7634
1	5001	7281

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample618.0ms

Algorithm

intervals

Results

342.0ms	8330×	body	80	valid
15.0ms	100×	body	640	valid
9.0ms	43×	body	1280	valid
9.0ms	75×	body	320	valid
2.0ms	33×	body	160	valid