Details

sample42.0ms

Algorithm

intervals

Results

23.0ms

743×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	18	8
2	40	8
3	99	8
4	221	8
5	378	8
6	635	8
7	1516	8
8	3591	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize6.0ms

Local error

Found 1 expressions with local error:

6.5b	(/ (* (cosh x) (/ y x)) z)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r` `associate-/l/`
2×	`cosh-def` `prod-exp` `cbrt-unprod`
1×	`pow1` `expm1-log1p-u` `frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

5.0ms

(/ (* (cosh x) (/ y x)) z)

series116.0ms

Counts

1 → 3

Calls

1 calls:

116.0ms

(/ (* (cosh x) (/ y x)) z)

simplify644.0ms

Counts

31 → 31

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	91	364
1	241	348
2	870	284
done	5000	284

prune132.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (cosh x) (* (/ z y) x))
5.7b	(* (/ z y) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod`
3×	`associate-r` `associate-/l*`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`cosh-def` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `associate-/r/` `-commutative` `associate-/l/`

Counts

2 → 61

Calls

2 calls:

10.0ms	(/ (cosh x) (* (/ z y) x))
15.0ms	(* (/ z y) x)

series161.0ms

Counts

2 → 6

Calls

2 calls:

141.0ms	(/ (cosh x) (* (/ z y) x))
20.0ms	(* (/ z y) x)

simplify806.0ms

Counts

67 → 67

Iterations

Useful iterations: done (803.0ms)

Iter	Nodes	Cost
0	130	644
1	317	627
2	1097	531
done	5000	527

prune148.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
2.2b	(* (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))) (* (/ (cbrt z) (cbrt y)) x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `times-frac` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 90

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
43.0ms	(* (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))) (* (/ (cbrt z) (cbrt y)) x))

series554.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt y)
176.0ms	(cbrt y)
180.0ms	(cbrt y)
22.0ms	(* (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))) (* (/ (cbrt z) (cbrt y)) x))

simplify578.0ms

Counts

102 → 102

Iterations

Useful iterations: done (576.0ms)

Iter	Nodes	Cost
0	124	1658
1	412	1592
2	1892	814
done	5001	812

prune273.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (/ y z) x))
5.5b	(/ (/ y z) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
89×	`add-sqr-sqrt`
80×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`div-inv`
6×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`associate-l` `prod-exp` `associate-/r*` `cbrt-unprod` `unswap-sqr`
2×	`expm1-log1p-u` `cosh-def` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `associate-/l/`

Counts

2 → 141

Calls

2 calls:

19.0ms	(* (cosh x) (/ (/ y z) x))
6.0ms	(/ (/ y z) x)

series137.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(* (cosh x) (/ (/ y z) x))
19.0ms	(/ (/ y z) x)

simplify992.0ms

Counts

147 → 147

Iterations

Useful iterations: 2 (314.0ms)

Iter	Nodes	Cost
0	247	1781
1	619	1662
2	2357	1554
done	5001	1554

prune353.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes153.0ms

Accuracy

75.4% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.7b

bsearch99.0ms

Steps

Iters	Range		Point
8	1.7204139302587188e-44	4.246075255295444e-40	2.6068638849624772e-42
10	-2.358276848448715e+91	-1.5703984343353177e+80	-1.9357721012183174e+80

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	22	44
1	30	31
done	30	31

end0.0ms

sample1.0s

Algorithm

intervals

Results

583.0ms

22251×

body

valid