Details

sample277.0ms

Algorithm

intervals

Results

97.0ms	87×	body	1280	valid
66.0ms	259×	body	80	valid
56.0ms	75×	body	640	valid
20.0ms	38×	body	320	valid
7.0ms	23×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
9	2822
8	1840
7	1071
6	615
5	341
4	202
3	85
2	44
1	24
0	14

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.4b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b	(* J (- (exp l) (exp (- l))))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
5.7b	(- (exp l) (exp (- l)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`associate-r`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `unswap-sqr`

Counts

3 → 99

Calls

3 calls:

44.0ms	(* J (- (exp l) (exp (- l))))
74.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
13.0ms	(- (exp l) (exp (- l)))

series274.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* J (- (exp l) (exp (- l))))
133.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
55.0ms	(- (exp l) (exp (- l)))

simplify1.1s

Counts

108 → 108

Iterations

Iter	Nodes
3	2611
2	911
1	368
0	168

prune1.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(* J (fma (pow l 5) 1/60 (* l (+ (* 1/3 (* l l)) 2))))
0.0b	(* l (+ (* 1/3 (* l l)) 2))
0.1b	(* (* J (fma (pow l 5) 1/60 (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
0.2b	(* 1/3 (* l l))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `fma-udef`
1×	`flip3-+` `flip-+`

Counts

4 → 91

Calls

4 calls:

12.0ms	(* J (fma (pow l 5) 1/60 (* l (+ (* 1/3 (* l l)) 2))))
56.0ms	(* l (+ (* 1/3 (* l l)) 2))
32.0ms	(* (* J (fma (pow l 5) 1/60 (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
13.0ms	(* 1/3 (* l l))

series549.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* J (fma (pow l 5) 1/60 (* l (+ (* 1/3 (* l l)) 2))))
101.0ms	(* l (+ (* 1/3 (* l l)) 2))
218.0ms	(* (* J (fma (pow l 5) 1/60 (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
56.0ms	(* 1/3 (* l l))

simplify3.9s

Counts

103 → 103

Iterations

Iter	Nodes
3	7698
2	1417
1	439
0	165

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* l (* l l)) (* l l))
0.1b	(* (* (* l (* l l)) (* l l)) 1/60)
0.1b	(* J (* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2))))
0.1b	(* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2)))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

122×	`pow1`
61×	`add-cbrt-cube` `add-exp-log`
45×	`pow-prod-up`
41×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt`
9×	`pow2` `pow-plus` `pow-sqr`
8×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `cube-unmult` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

4 → 129

Calls

4 calls:

60.0ms	(* (* l (* l l)) (* l l))
207.0ms	(* (* (* l (* l l)) (* l l)) 1/60)
27.0ms	(* J (* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2))))
7.0ms	(* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (* l (* l l)) (* l l))
91.0ms	(* (* (* l (* l l)) (* l l)) 1/60)
215.0ms	(* J (* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2))))
134.0ms	(* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2)))

simplify3.2s

Counts

141 → 141

Iterations

Iter	Nodes
3	6199
2	1427
1	466
0	186

prune2.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

19.0ms	(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
1.0ms	(cbrt (cos (/ K 2)))
1.0ms	(cbrt (cos (/ K 2)))
1.0ms	(cbrt (cos (/ K 2)))

series706.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
124.0ms	(cbrt (cos (/ K 2)))
187.0ms	(cbrt (cos (/ K 2)))
160.0ms	(cbrt (cos (/ K 2)))

simplify3.8s

Counts

97 → 97

Iterations

Iter	Nodes
5	5858
4	1897
3	785
2	347
1	155
0	75

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes488.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	24
1	24
0	18

end0.0ms

sample9.8s

Algorithm

intervals

Results

3.2s	2657×	body	1280	valid
2.9s	2588×	body	640	valid
1.6s	8398×	body	80	valid
1.3s	1385×	body	320	valid
241.0ms	761×	body	160	valid