Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

339×

body

valid

simplify6.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	26	8
3	56	8
4	98	8
5	140	8
6	178	8
7	212	8
8	255	8
9	341	8
10	451	8
11	514	8
12	581	8
13	626	8
14	666	8
15	766	8
16	1026	8
17	1343	8
18	1935	8
19	2473	8
20	2570	8
21	2576	8
done	2576	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.2b	(* (- y x) (/ z t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
14.0ms	(* (- y x) (/ z t))

series92.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ x (* (- y x) (/ z t)))
51.0ms	(* (- y x) (/ z t))

simplify1.4s

Counts

62 → 62

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	119	705
1	307	661
2	1095	603
done	5000	576

prune172.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
2.2b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`times-frac`
25×	`add-exp-log`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt` `associate-r`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
9×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)
31.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series656.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt t)
189.0ms	(cbrt t)
191.0ms	(cbrt t)
86.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify949.0ms

Counts

114 → 114

Iterations

Useful iterations: done (946.0ms)

Iter	Nodes	Cost
0	155	1459
1	461	1403
2	1918	1075
done	5000	1067

prune364.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.6b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.8b	(cbrt (/ z t))
10.8b	(cbrt (/ z t))
10.8b	(cbrt (/ z t))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

25.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
1.0ms	(cbrt (/ z t))
1.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series346.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
67.0ms	(cbrt (/ z t))
70.0ms	(cbrt (/ z t))
71.0ms	(cbrt (/ z t))

simplify1.3s

Counts

118 → 118

Iterations

Useful iterations: 3 (432.0ms)

Iter	Nodes	Cost
0	166	1441
1	349	1351
2	887	1239
3	2650	1214
done	5001	1214

prune398.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 t))
1.6b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.8b	(cbrt (/ z t))
10.8b	(cbrt (/ z t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

2.0ms	(cbrt (/ 1 t))
28.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
1.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series468.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (/ 1 t))
137.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
72.0ms	(cbrt (/ z t))
67.0ms	(cbrt (/ z t))

simplify1.3s

Counts

118 → 118

Iterations

Useful iterations: 3 (497.0ms)

Iter	Nodes	Cost
0	210	1425
1	416	1310
2	995	1196
3	2840	1174
done	5001	1174

prune418.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

-53.6% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 2.2b

bsearch81.0ms

Steps

Iters	Range		Point
8	-6.994196683941643e-239	-4.067333298773334e-243	-2.0780948440753943e-240
9	-5.7344741893021296e-61	-2.1671296354575485e-70	-2.8324523097038337e-70

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	46
1	33	46
done	33	46

end0.0ms

sample553.0ms

Algorithm

intervals

Results

290.0ms

10619×

body

valid