Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

314×

body

valid

simplify6.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	2921
10	1184
9	536
8	314
7	199
6	167
5	132
4	100
3	61
2	33
1	15
0	8

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
4.9b	(* (/ x y) (- z t))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `prod-exp` `associate-*r/` `cbrt-unprod` `log1p-expm1-u` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

24.0ms	(+ (* (/ x y) (- z t)) t)
29.0ms	(* (/ x y) (- z t))

series133.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ (* (/ x y) (- z t)) t)
81.0ms	(* (/ x y) (- z t))

simplify1.6s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1599
1	497
0	180

prune688.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.9b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
44×	`distribute-rgt-in` `distribute-lft-in`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
36×	`prod-diff`
32×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`cbrt-undiv` `div-exp`
9×	`cbrt-prod` `frac-times` `pow1` `associate-*r/`
5×	`associate-l`
4×	`expm1-log1p-u` `sub-neg` `flip3--` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`times-frac` `associate-r` `*-commutative` `div-inv`

Counts

4 → 142

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
110.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series889.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt x)
271.0ms	(cbrt x)
269.0ms	(cbrt x)
78.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify2.5s

Counts

154 → 154

Iterations

Iter	Nodes
done	5014
2	3783
1	913
0	270

prune738.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ x y) (- t)) t)
0.0b	(+ (* (/ x y) z) (+ (* (/ x y) (- t)) t))
3.4b	(* (/ x y) z)
3.9b	(* (/ x y) (- t))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`associate-l`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
14×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
11×	`add-log-exp`
8×	`pow1`
4×	`expm1-log1p-u` `sum-log` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `flip-+`
2×	`cbrt-undiv` `+-commutative` `fma-def` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `div-inv`
1×	`associate-+r+` `neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 108

Calls

4 calls:

15.0ms	(+ (* (/ x y) (- t)) t)
57.0ms	(+ (* (/ x y) z) (+ (* (/ x y) (- t)) t))
17.0ms	(* (/ x y) z)
19.0ms	(* (/ x y) (- t))

series168.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* (/ x y) (- t)) t)
45.0ms	(+ (* (/ x y) z) (+ (* (/ x y) (- t)) t))
36.0ms	(* (/ x y) z)
32.0ms	(* (/ x y) (- t))

simplify2.4s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	1972
1	544
0	180

prune685.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- z t) (/ y x)) t)
5.3b	(/ (- z t) (/ y x))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

229×	`times-frac`
163×	`*-un-lft-identity`
161×	`add-sqr-sqrt`
107×	`add-cube-cbrt`
70×	`fma-def`
27×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*` `div-inv`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip3--` `associate-+l-` `flip-+` `flip--` `distribute-lft-out`

Counts

2 → 188

Calls

2 calls:

108.0ms	(+ (/ (- z t) (/ y x)) t)
27.0ms	(/ (- z t) (/ y x))

series122.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (/ (- z t) (/ y x)) t)
74.0ms	(/ (- z t) (/ y x))

simplify1.3s

Counts

194 → 194

Iterations

Iter	Nodes
done	5000
2	2008
1	669
0	223

prune924.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes333.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

474.0ms

10626×

body

valid