Details

sample23.0ms

Algorithm

intervals

Results

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 1.0b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
0.7b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.8b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

2.0ms	(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)

series640.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(tanh (/ x y))
80.0ms	(tanh (/ t y))
225.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
253.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	474	1186
1	1938	917
2	5002	917

prune301.0ms

Filtered

101 candidates to 72 candidates (71.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	97	6	103

Merged error: 0.2b

Counts

103 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.8b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
0.8b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
0.8b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

12.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
1.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series993.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
255.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
256.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
258.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	431	1260
1	1744	961
2	5003	961

prune346.0ms

Filtered

97 candidates to 68 candidates (70.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	97	6	103

Merged error: 0.2b

Counts

103 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

2.0ms	(tanh (/ t y))
2.0ms	(tanh (/ x y))
6.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
13.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series674.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(tanh (/ t y))
82.0ms	(tanh (/ x y))
340.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
169.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify79.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	685	1652
1	3000	1257
2	5002	1253

prune352.0ms

Filtered

129 candidates to 86 candidates (66.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	129	6	135

Merged error: 0.2b

Counts

135 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

8.0b	(cbrt (tanh (/ t y)))
8.0b	(cbrt (tanh (/ t y)))
8.0b	(cbrt (tanh (/ t y)))
19.0b	(fma (- (cbrt (tanh (/ x y)))) (* (cbrt (tanh (/ x y))) (cbrt (tanh (/ x y)))) (* (cbrt (tanh (/ x y))) (* (cbrt (tanh (/ x y))) (cbrt (tanh (/ x y))))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `cbrt-div`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `tanh-def`
1×	`fma-udef`

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt (tanh (/ t y)))
2.0ms	(cbrt (tanh (/ t y)))
2.0ms	(cbrt (tanh (/ t y)))
1.0ms	(fma (- (cbrt (tanh (/ x y)))) (* (cbrt (tanh (/ x y))) (cbrt (tanh (/ x y)))) (* (cbrt (tanh (/ x y))) (* (cbrt (tanh (/ x y))) (cbrt (tanh (/ x y))))))

series766.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (tanh (/ t y)))
174.0ms	(cbrt (tanh (/ t y)))
177.0ms	(cbrt (tanh (/ t y)))
238.0ms	(fma (- (cbrt (tanh (/ x y)))) (* (cbrt (tanh (/ x y))) (cbrt (tanh (/ x y)))) (* (cbrt (tanh (/ x y))) (* (cbrt (tanh (/ x y))) (cbrt (tanh (/ x y))))))

simplify56.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	222	754
1	548	661
2	2096	639
3	5002	585

prune455.0ms

Filtered

70 candidates to 66 candidates (94.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	70	6	76

Merged error: 0.2b

Counts

76 → 6

regimes185.0ms

Accuracy

60.8% (1.1b remaining)

Error of 1.5b against oracle of 0.4b and baseline of 3.2b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	50
1	31	50

end0.0ms

sample591.0ms

Algorithm

intervals

Results

339.0ms	8338×	body	80	valid
14.0ms	87×	body	640	valid
10.0ms	47×	body	1280	valid
5.0ms	43×	body	320	valid
3.0ms	38×	body	160	valid