Details

sample45.0ms

Algorithm

intervals

Results

28.0ms

676×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2733
6	751
5	308
4	183
3	84
2	39
1	18
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
9.2b	(/ (* (cosh x) (/ y x)) z)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`times-frac` `associate-r`
12×	`*-un-lft-identity` `add-cube-cbrt`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `cosh-def` `prod-exp` `cbrt-unprod`
3×	`associate-/r` `associate-l*` `associate-/l/`
2×	`frac-times` `associate-l/` `associate-r/` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l`

Counts

2 → 62

Calls

2 calls:

28.0ms	(* (cosh x) (/ y x))
18.0ms	(/ (* (cosh x) (/ y x)) z)

series302.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(* (cosh x) (/ y x))
183.0ms	(/ (* (cosh x) (/ y x)) z)

simplify1.6s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	1300
1	348
0	139

prune418.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1/2 (exp x)) (* (exp x) 1/2))
0.0b	(* (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) (/ y z))
5.0b	(/ (* (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) (/ y z)) x)

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`add-cbrt-cube` `add-exp-log`
13×	`-un-lft-identity` `times-frac` `associate-r*` `add-cube-cbrt`
5×	`pow1` `cbrt-undiv` `flip3-+` `div-exp` `flip-+` `add-log-exp` `associate-/l/`
4×	`frac-times` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`associate-/r` `associate-l*` `insert-posit16`
2×	`associate-*r/` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l`

Counts

3 → 78

Calls

3 calls:

42.0ms	(+ (/ 1/2 (exp x)) (* (exp x) 1/2))
101.0ms	(* (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) (/ y z))
62.0ms	(/ (* (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) (/ y z)) x)

series347.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (/ 1/2 (exp x)) (* (exp x) 1/2))
133.0ms	(* (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) (/ y z))
150.0ms	(/ (* (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) (/ y z)) x)

simplify1.9s

Counts

87 → 87

Iterations

Iter	Nodes
done	5002
2	2045
1	452
0	162

prune491.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (exp x) 1/2) (/ 1/2 (exp x)))
0.0b	(/ (+ (* (exp x) 1/2) (/ 1/2 (exp x))) x)
5.0b	(* (/ y z) (/ (+ (* (exp x) 1/2) (/ 1/2 (exp x))) x))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
31×	`times-frac`
25×	`*-un-lft-identity` `add-cube-cbrt`
17×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r` `associate-l`
5×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`associate-/r` `insert-posit16` `div-inv` `associate-/l`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`frac-times` `+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 93

Calls

3 calls:

29.0ms	(+ (* (exp x) 1/2) (/ 1/2 (exp x)))
98.0ms	(/ (+ (* (exp x) 1/2) (/ 1/2 (exp x))) x)
140.0ms	(* (/ y z) (/ (+ (* (exp x) 1/2) (/ 1/2 (exp x))) x))

series440.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (* (exp x) 1/2) (/ 1/2 (exp x)))
152.0ms	(/ (+ (* (exp x) 1/2) (/ 1/2 (exp x))) x)
214.0ms	(* (/ y z) (/ (+ (* (exp x) 1/2) (/ 1/2 (exp x))) x))

simplify2.0s

Counts

102 → 102

Iterations

Iter	Nodes
done	5002
2	2378
1	516
0	176

prune508.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.0b	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) (/ (+ (* (exp x) 1/2) (/ 1/2 (exp x))) x)))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

134×	`add-exp-log`
74×	`add-cbrt-cube`
65×	`prod-exp` `cbrt-unprod`
40×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod` `pow1`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`frac-times` `associate-l` `associate-*r/`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`times-frac` `associate-r` `*-commutative` `div-inv`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
212.0ms	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) (/ (+ (* (exp x) 1/2) (/ 1/2 (exp x))) x)))

series1.2s

Counts

4 → 12

Calls

4 calls:

312.0ms	(cbrt z)
336.0ms	(cbrt z)
310.0ms	(cbrt z)
192.0ms	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))) (* (/ (cbrt y) (cbrt z)) (/ (+ (* (exp x) 1/2) (/ 1/2 (exp x))) x)))

simplify2.7s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	3463
1	578
0	179

prune413.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes549.0ms

Accuracy

87.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.3b

bsearch95.0ms

Steps

Iters	Range		Point
7	1.0891058186683519e-12	4.1750260115318935e-11	1.1146827486934066e-11
8	-4.8032605876186047e-45	-8.228243517090271e-48	-4.7528430636640835e-45

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s

22119×

body

valid