Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

360×

body

valid

simplify8.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	15	8
2	32	8
3	54	8
4	86	8
5	121	8
6	154	8
7	192	8
8	243	8
9	321	8
10	430	8
11	490	8
12	551	8
13	622	8
14	644	8
15	684	8
16	808	8
17	1066	8
18	1416	8
19	2064	8
20	2718	8
21	2816	8
22	2822	8
done	2822	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
3.7b	(* (/ x y) (- z t))

rewrite31.0ms

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-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

10.0ms	(+ (* (/ x y) (- z t)) t)
17.0ms	(* (/ x y) (- z t))

series98.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (/ x y) (- z t)) t)
61.0ms	(* (/ x y) (- z t))

simplify1.2s

Counts

104 → 104

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	178	1645
1	465	1317
2	1400	1118
done	5000	1077

prune248.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.8b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite65.0ms

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` `add-cube-cbrt` `*-un-lft-identity`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod` `frac-times` `associate-*r/`
5×	`associate-l`
4×	`expm1-log1p-u` `sub-neg` `flip3--` `flip--` `log1p-expm1-u` `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:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
56.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series637.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt x)
192.0ms	(cbrt x)
187.0ms	(cbrt x)
63.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify1.5s

Counts

154 → 154

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	270	4510
1	884	4114
2	3674	2164
done	5001	2124

prune388.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (pow (cbrt x) 3))
0.7b	(pow (cbrt x) 3)
0.8b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt (pow (cbrt x) 3)) (cbrt y)) (- z t)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
44×	`distribute-rgt-in` `distribute-lft-in`
40×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
36×	`prod-diff`
33×	`cbrt-prod`
17×	`cbrt-undiv` `div-exp`
12×	`unpow-prod-down` `cube-prod`
10×	`pow1`
9×	`frac-times` `associate-*r/`
5×	`associate-l`
4×	`expm1-log1p-u` `sub-neg` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3` `pow-prod-down` `associate-*l/`
2×	`cube-mult` `pow-pow` `unpow3` `sqr-pow`
1×	`pow-to-exp` `times-frac` `associate-r` `pow-exp` `*-commutative` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 177

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt (pow (cbrt x) 3))
2.0ms	(pow (cbrt x) 3)
82.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt (pow (cbrt x) 3)) (cbrt y)) (- z t)))

series732.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt x)
202.0ms	(cbrt (pow (cbrt x) 3))
257.0ms	(pow (cbrt x) 3)
69.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt (pow (cbrt x) 3)) (cbrt y)) (- z t)))

simplify1.9s

Counts

189 → 189

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	318	5422
1	993	4135
2	4306	2240
done	5001	2204

prune373.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
9.6b	(cbrt (/ x y))
9.6b	(cbrt (/ x y))
9.6b	(cbrt (/ x y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
44×	`distribute-rgt-in` `distribute-lft-in`
39×	`cbrt-prod` `cbrt-div`
36×	`prod-diff`
29×	`frac-times`
27×	`times-frac`
19×	`associate-*r/`
16×	`pow1` `add-exp-log`
13×	`associate-*l/`
10×	`add-cbrt-cube`
8×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 163

Calls

4 calls:

48.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
1.0ms	(cbrt (/ x y))
1.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series287.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (cbrt (/ x y)) (- z t)))
75.0ms	(cbrt (/ x y))
69.0ms	(cbrt (/ x y))
80.0ms	(cbrt (/ x y))

simplify955.0ms

Counts

175 → 175

Iterations

Useful iterations: done (949.0ms)

Iter	Nodes	Cost
0	280	4101
1	711	3711
2	1747	2501
done	5000	2465

prune435.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes200.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	26
1	20	26
done	20	26

end0.0ms

sample751.0ms

Algorithm

intervals

Results

493.0ms

10676×

body

valid