Details

sample28.0ms

Algorithm

intervals

Results

14.0ms	270×	body	80	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	12	15
1	54	15
2	146	14
3	317	14
4	974	14
5	3167	14
done	5000	14

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
9×	`frac-sub`
7×	`tanh-def`
5×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
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

3 → 77

Calls

3 calls:

1.0ms	(tanh (/ x y))
27.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
0.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

series547.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(tanh (/ x y))
219.0ms	(* z (- (tanh (/ t y)) (tanh (/ x y))))
248.0ms	(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)

simplify600.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (173.0ms)

Iter	Nodes	Cost
0	196	2041
1	454	1690
2	1638	1438
done	5000	1438

prune239.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh (/ x y))
0.0b	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.0b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

1.0ms	(tanh (/ x y))
6.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
27.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

series577.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(tanh (/ x y))
337.0ms	(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
163.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))

simplify929.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (349.0ms)

Iter	Nodes	Cost
0	236	2937
1	653	2426
2	2578	2058
done	5000	2058

prune305.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

4.6b	(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
5.0b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
5.0b	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
26.8b	(/ (* (fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x) (- x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (- x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `*-un-lft-identity` `prod-diff`
32×	`add-cube-cbrt`
24×	`associate-*r/`
22×	`distribute-rgt-in` `distribute-lft-in`
19×	`add-exp-log` `add-cbrt-cube`
18×	`frac-sub`
14×	`pow1`
12×	`tanh-def`
10×	`associate-r`
7×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `sub-neg` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `associate-l` `associate-/r/` `*-commutative` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `fma-udef` `div-inv` `associate-/l*`

Counts

4 → 147

Calls

4 calls:

0.0ms	(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
30.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
27.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
10.0ms	(/ (* (fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x) (- x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (- x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))

series789.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x)
161.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
161.0ms	(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
236.0ms	(/ (* (fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x) (- x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (- x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))

simplify1.2s

Counts

159 → 159

Iterations

Useful iterations: 2 (432.0ms)

Iter	Nodes	Cost
0	242	5564
1	702	4229
2	3033	3463
done	5000	3463

prune440.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

7.8b	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
7.8b	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
7.8b	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
26.8b	(/ (* (fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x) (- x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (- x (* (* (cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

35×	`associate-*r/`
33×	`cbrt-div`
27×	`frac-sub`
18×	`tanh-def`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`flip3--` `flip--`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `times-frac` `pow1/3` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 93

Calls

4 calls:

16.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
18.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
16.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
10.0ms	(/ (* (fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x) (- x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (- x (* (* (cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

377.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
378.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
379.0ms	(cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
232.0ms	(/ (* (fma (* y z) (- (tanh (/ t y)) (tanh (/ x y))) x) (- x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (- x (* (* (cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))) (cbrt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))))))

simplify774.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (234.0ms)

Iter	Nodes	Cost
0	226	5435
1	680	5348
2	2454	3797
done	5001	3797

prune580.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.2b

regimes165.0ms

Accuracy

0% (1.7b remaining)

Error of 2.0b against oracle of 0.3b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	12	14
done	12	14

end0.0ms

sample626.0ms

Algorithm

intervals

Results

362.0ms	8278×	body	80	valid
20.0ms	120×	body	640	valid
12.0ms	50×	body	1280	valid
8.0ms	63×	body	320	valid
3.0ms	32×	body	160	valid