Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	260×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid

simplify72.0ms

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: 1.3b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(tanh (/ t y))
0.9b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
1.2b	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`associate-*r/`
9×	`frac-sub`
8×	`tanh-def`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`flip3--` `*-commutative` `flip--` `fma-udef`

Counts

4 → 23

Calls

4 calls:

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

series604.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(tanh (/ x y))
77.0ms	(tanh (/ t y))
204.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
245.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify31.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	310	342
1	1114	342
2	5001	342

prune116.0ms

Filtered

35 candidates to 28 candidates (80.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	32	5	37

Merged error: 0.6b

Counts

37 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
4.7b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
13×	`tanh-def`
11×	`associate-*r/`
5×	`sub-neg`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
2×	`flip3--` `associate-l` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 41

Calls

4 calls:

2.0ms	(tanh (/ x y))
5.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
4.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
11.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series764.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(tanh (/ x y))
212.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
322.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
152.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify51.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	482	752
1	1934	746
2	5001	741

prune176.0ms

Filtered

53 candidates to 41 candidates (77.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	52	6	58

Merged error: 0.6b

Counts

58 → 6

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))))))
0.9b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
5.5b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
18×	`distribute-rgt-in` `distribute-lft-in` `frac-sub`
13×	`tanh-def`
10×	`sub-neg`
8×	`associate-+r+`
3×	`*-commutative`
2×	`flip3--` `associate-r` `flip--`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

4 → 52

Calls

4 calls:

2.0ms	(tanh (/ t y))
4.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
7.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
8.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series774.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(tanh (/ t y))
329.0ms	(+ x (* y (* z (- (tanh (/ t y)) (tanh (/ x y))))))
210.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
157.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	422	714
1	1594	705
2	5001	703

prune178.0ms

Filtered

64 candidates to 43 candidates (67.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	64	6	70

Merged error: 0.6b

Counts

70 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (tanh (/ t y)) (tanh (/ t y)))
1.0b	(* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))
1.2b	(fma y (/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y)))) x)
6.9b	(/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

637×	`associate-*r/`
549×	`frac-times`
494×	`tanh-def`
450×	`frac-sub`
227×	`associate-/l/`
183×	`associate-*l/`
19×	`*-commutative`
11×	`associate-/r/`
9×	`frac-add`
8×	`associate-r` `prod-diff` `difference-of-squares`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-/l*`
2×	`sub-neg` `flip3--` `flip--`
1×	`pow2` `frac-2neg` `flip3-+` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

4 → 509

Calls

4 calls:

5.0ms	(* (tanh (/ t y)) (tanh (/ t y)))
43.0ms	(* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))
1.0ms	(fma y (/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y)))) x)
57.0ms	(/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y))))

series2.6s

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (tanh (/ t y)) (tanh (/ t y)))
445.0ms	(* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y)))))
921.0ms	(fma y (/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y)))) x)
1.1s	(/ (* z (- (* (tanh (/ t y)) (tanh (/ t y))) (* (tanh (/ x y)) (tanh (/ x y))))) (+ (tanh (/ t y)) (tanh (/ x y))))

simplify171.0ms

Algorithm

egg-herbie

Counts

521 → 521

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	4696	14984
1	5001	14984

prune2.9s

Filtered

521 candidates to 412 candidates (79.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	520	1	521
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	521	6	527

Merged error: 0.6b

Counts

527 → 6

regimes146.0ms

Accuracy

0% (1.5b remaining)

Error of 2.0b against oracle of 0.5b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample572.0ms

Algorithm

intervals

Results

317.0ms	8292×	body	80	valid
17.0ms	98×	body	640	valid
13.0ms	51×	body	1280	valid
7.0ms	61×	body	320	valid
3.0ms	39×	body	160	valid