Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

284×

body

valid

simplify114.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	17	9
2	24	9
3	48	9
4	73	9
5	100	9
6	125	9
7	141	9
8	154	9
9	159	9
done	159	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (- x y) (- z y))
1.4b	(* (/ (- x y) (- z y)) t)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

12.0ms	(/ (- x y) (- z y))
26.0ms	(* (/ (- x y) (- z y)) t)

series159.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- x y) (- z y))
103.0ms	(* (/ (- x y) (- z y)) t)

simplify2.0s

Counts

112 → 112

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	147	1339
1	370	1303
2	974	1219
3	3095	1219
done	5001	1217

prune269.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.2b	(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`associate-l`
26×	`times-frac`
18×	`add-cube-cbrt`
16×	`add-exp-log`
12×	`add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `cbrt-prod`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `unswap-sqr`
1×	`flip3--` `associate-r` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

4 → 94

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)
33.0ms	(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

series894.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt t)
206.0ms	(cbrt t)
211.0ms	(cbrt t)
267.0ms	(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

simplify2.2s

Counts

106 → 106

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	124	1118
1	336	1095
2	963	869
3	4602	860
done	5000	860

prune320.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
6.8b	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
31×	`prod-exp` `add-cbrt-cube`
18×	`cbrt-unprod`
17×	`div-exp`
15×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `cbrt-undiv` `add-cube-cbrt`
7×	`associate-l`
6×	`cbrt-div` `1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `times-frac` `pow1/3` `pow-prod-down` `associate-*l/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))
55.0ms	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series658.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (- x y))
178.0ms	(cbrt (- x y))
182.0ms	(cbrt (- x y))
111.0ms	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify847.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (183.0ms)

Iter	Nodes	Cost
0	167	2025
1	476	1805
2	1470	1212
done	5001	1212

prune341.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow (cbrt (- x y)) 3) (- z y))
0.6b	(cbrt (- x y))
0.7b	(pow (cbrt (- x y)) 3)
1.4b	(* (/ (pow (cbrt (- x y)) 3) (- z y)) t)

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

271×	`add-sqr-sqrt`
252×	`*-un-lft-identity`
226×	`times-frac`
127×	`cbrt-prod`
116×	`associate-l`
112×	`add-cube-cbrt`
98×	`unpow-prod-down` `cube-prod`
70×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/l*`
20×	`add-exp-log`
13×	`sqr-pow`
12×	`cube-mult` `unpow3`
11×	`add-cbrt-cube`
7×	`pow1` `unswap-sqr`
6×	`cbrt-div` `div-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`cube-div` `expm1-log1p-u` `prod-exp` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `associate-r` `pow-exp`
2×	`cbrt-undiv` `pow-pow` `pow1/3` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `rem-cube-cbrt`

Counts

4 → 356

Calls

4 calls:

23.0ms	(/ (pow (cbrt (- x y)) 3) (- z y))
2.0ms	(cbrt (- x y))
5.0ms	(pow (cbrt (- x y)) 3)
68.0ms	(* (/ (pow (cbrt (- x y)) 3) (- z y)) t)

series505.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ (pow (cbrt (- x y)) 3) (- z y))
183.0ms	(cbrt (- x y))
147.0ms	(pow (cbrt (- x y)) 3)
119.0ms	(* (/ (pow (cbrt (- x y)) 3) (- z y)) t)

simplify945.0ms

Counts

368 → 368

Iterations

Useful iterations: 2 (427.0ms)

Iter	Nodes	Cost
0	324	5966
1	766	4627
2	2563	4389
done	5000	4389

prune701.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes195.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	9	9
done	9	9

end0.0ms

sample448.0ms

Algorithm

intervals

Results

232.0ms

8752×

body

valid