Details

sample29.0ms

Algorithm

intervals

Results

12.0ms	261×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	8
1	141	8
2	325	8
3	979	8
4	3700	8
5	5001	8

prune4.0ms

Filtered

1 candidates to 0 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: 5.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
0.0b	(tanh (/ x y))
0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
5.2b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub`
13×	`tanh-def`
11×	`associate-*r/`
9×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-log-exp`
5×	`add-cube-cbrt` `sub-neg` `associate-r`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
3×	`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 → 83

Calls

4 calls:

3.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
2.0ms	(tanh (/ x y))
6.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
12.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series287.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
27.0ms	(tanh (/ x y))
76.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
70.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify76.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	592	1136
1	2728	1079
2	5001	1079

prune137.0ms

Filtered

95 candidates to 73 candidates (23.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	90	5	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	5	96

Merged error: 0.9b

Counts

96 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (tanh (/ t y)) (tanh (/ x y)))
0.0b	(tanh (/ x y))
0.5b	(* z (- (tanh (/ t y)) (tanh (/ x y))))
3.3b	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/`
27×	`frac-sub`
19×	`tanh-def`
13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
10×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-cube-cbrt` `sub-neg`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3--` `flip--`
2×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

7.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
2.0ms	(tanh (/ x y))
10.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
16.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series260.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (tanh (/ t y)) (tanh (/ x y)))
27.0ms	(tanh (/ x y))
89.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
68.0ms	(* y (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify69.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	553	1404
1	2417	1324
2	5003	1324

prune168.0ms

Filtered

117 candidates to 86 candidates (26.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	115	7	122

Merged error: 0.9b

Counts

122 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

3.3b	(* y (* (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
6.0b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
6.0b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
6.0b	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite700.0ms

Algorithm

rewrite-expression-head

Rules

6655×	`associate-*r/`
4785×	`cbrt-div`
3915×	`frac-sub`
3025×	`frac-times`
2610×	`tanh-def`
435×	`flip3--` `flip--`
275×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 1808

Calls

4 calls:

189.0ms	(* y (* (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
9.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
9.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
9.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

series762.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* y (* (* (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))))
228.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
222.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))
232.0ms	(cbrt (* z (- (tanh (/ t y)) (tanh (/ x y)))))

simplify953.0ms

Algorithm

egg-herbie

Counts

1820 → 1820

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5001	111990

prune47.9s

Filtered

1820 candidates to 1811 candidates (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1820	0	1820
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	1820	7	1827

Merged error: 0.9b

Counts

1827 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh (/ x y))
0.5b	(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
6.6b	(* (* y z) (tanh (/ t y)))
7.0b	(* (* y z) (neg (tanh (/ x y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-*r/`
14×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`distribute-neg-frac`
9×	`frac-add` `tanh-def`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`associate-l` `*-commutative`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 83

Calls

4 calls:

2.0ms	(tanh (/ x y))
8.0ms	(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
6.0ms	(* (* y z) (tanh (/ t y)))
7.0ms	(* (* y z) (neg (tanh (/ x y))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(tanh (/ x y))
61.0ms	(+ (* (* y z) (tanh (/ t y))) (* (* y z) (neg (tanh (/ x y)))))
29.0ms	(* (* y z) (tanh (/ t y)))
29.0ms	(* (* y z) (neg (tanh (/ x y))))

simplify91.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	613	904
1	3182	829
2	5002	828

prune98.0ms

Filtered

95 candidates to 72 candidates (24.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	96	6	102

Merged error: 0.1b

Counts

102 → 6

regimes253.0ms

Accuracy

0% (1.4b remaining)

Error of 1.9b against oracle of 0.5b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample814.0ms

Algorithm

intervals

Results

398.0ms	8319×	body	80	valid
18.0ms	94×	body	640	valid
11.0ms	80×	body	320	valid
11.0ms	41×	body	1280	valid
4.0ms	40×	body	160	valid

Details

sample29.0ms

simplify82.0ms

prune4.0ms

localize11.0ms

rewrite26.0ms

series287.0ms

simplify76.0ms

prune137.0ms

localize11.0ms

rewrite38.0ms

series260.0ms

simplify69.0ms

prune168.0ms

localize18.0ms

rewrite700.0ms

series762.0ms

simplify953.0ms

prune47.9s

localize12.0ms

rewrite25.0ms

series146.0ms

simplify91.0ms

prune98.0ms

regimes253.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample814.0ms

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