Details

sample38.0ms

Algorithm

intervals

Results

13.0ms

331×

body

valid

simplify975.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (92.0ms)

Iter	Nodes	Cost
0	9	9
1	16	9
2	32	9
3	71	9
4	148	9
5	220	8
6	307	8
7	403	8
8	457	8
9	555	8
10	571	8
done	571	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

2.4b	(fma (/ y a) (- t z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y a) (- t z) x)

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(fma (/ y a) (- t z) x)

simplify822.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	24	154
1	41	154
2	94	138
3	269	123
4	1175	123
done	5000	123

prune40.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y a) (- t z)) x)
4.6b	(* (/ y a) (- t z))

rewrite108.0ms

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:

39.0ms	(+ (* (/ y a) (- t z)) x)
64.0ms	(* (/ y a) (- t z))

series157.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(+ (* (/ y a) (- t z)) x)
82.0ms	(* (/ y a) (- t z))

simplify1.2s

Counts

104 → 104

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	181	1645
1	459	1317
2	1249	1118
done	5000	1088

prune249.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- t z))
0.6b	(cbrt (- t z))
0.9b	(* (* (/ y a) (* (cbrt (- t z)) (cbrt (- t z)))) (cbrt (- t z)))
3.9b	(* (/ y a) (* (cbrt (- t z)) (cbrt (- t z))))

rewrite502.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 172

Calls

4 calls:

4.0ms	(cbrt (- t z))
5.0ms	(cbrt (- t z))
368.0ms	(* (* (/ y a) (* (cbrt (- t z)) (cbrt (- t z)))) (cbrt (- t z)))
112.0ms	(* (/ y a) (* (cbrt (- t z)) (cbrt (- t z))))

series721.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt (- t z))
249.0ms	(cbrt (- t z))
85.0ms	(* (* (/ y a) (* (cbrt (- t z)) (cbrt (- t z)))) (cbrt (- t z)))
152.0ms	(* (/ y a) (* (cbrt (- t z)) (cbrt (- t z))))

simplify2.3s

Counts

184 → 184

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	302	4321
1	796	4115
2	2163	3668
done	5000	3450

prune714.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
1.2b	(* (/ y (cbrt a)) (- t z))
3.3b	(* (/ 1 (* (cbrt a) (cbrt a))) (* (/ y (cbrt a)) (- t z)))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log`
68×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
46×	`prod-exp`
35×	`add-cbrt-cube`
29×	`associate-l`
23×	`times-frac`
20×	`div-exp` `cbrt-unprod`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv`
6×	`sub-neg` `rec-exp` `flip3--` `1-exp` `associate-r` `flip--`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 203

Calls

4 calls:

2.0ms	(cbrt a)
2.0ms	(cbrt a)
44.0ms	(* (/ y (cbrt a)) (- t z))
142.0ms	(* (/ 1 (* (cbrt a) (cbrt a))) (* (/ y (cbrt a)) (- t z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

278.0ms	(cbrt a)
287.0ms	(cbrt a)
306.0ms	(* (/ y (cbrt a)) (- t z))
163.0ms	(* (/ 1 (* (cbrt a) (cbrt a))) (* (/ y (cbrt a)) (- t z)))

simplify2.2s

Counts

215 → 215

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	330	4810
1	900	3929
2	3048	2801
done	5001	2276

prune634.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes275.0ms

Accuracy

66.6% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.6b

bsearch92.0ms

Steps

Iters	Range		Point
9	4.851218506343938e-33	6.256552139075083e-27	5.972044538660695e-31
7	-4.690030100126002e-46	-4.2410689405242583e-48	-4.5971231275403024e-46

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	26	43
1	35	39
done	35	39

end0.0ms

sample2.1s

Algorithm

intervals

Results

662.0ms

10733×

body

valid