Details

sample25.0ms

Algorithm

intervals

Results

8.0ms

328×

body

valid

simplify758.0ms

Counts

1 → 1

Iterations

Useful iterations: 5 (61.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

2.5b	(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)

series50.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify688.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (38.0ms)

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

prune38.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y a) (- t z)) x)
5.5b	(* (/ y a) (- t z))

rewrite60.0ms

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:

20.0ms	(+ (* (/ y a) (- t z)) x)
35.0ms	(* (/ y a) (- t z))

series111.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (* (/ y a) (- t z)) x)
60.0ms	(* (/ y a) (- t z))

simplify874.0ms

Counts

104 → 104

Iterations

Useful iterations: done (872.0ms)

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

prune231.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.9b	(* (/ (cbrt y) a) (- t z))
4.2b	(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) a) (- t z)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
66×	`add-exp-log`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
35×	`add-cbrt-cube`
33×	`prod-exp`
29×	`associate-l`
23×	`times-frac`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv`
6×	`sub-neg` `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 → 197

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
38.0ms	(* (/ (cbrt y) a) (- t z))
78.0ms	(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) a) (- t z)))

series839.0ms

Counts

4 → 12

Calls

4 calls:

388.0ms	(cbrt y)
184.0ms	(cbrt y)
174.0ms	(* (/ (cbrt y) a) (- t z))
92.0ms	(* (/ (* (cbrt y) (cbrt y)) 1) (* (/ (cbrt y) a) (- t z)))

simplify1.5s

Counts

209 → 209

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	326	4712
1	837	3820
2	2713	2727
done	5001	2205

prune390.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (/ (- t z) a)) x)
0.0b	(/ (- t z) a)
6.6b	(* y (/ (- t z) a))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`expm1-log1p-u` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `fma-def` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 94

Calls

3 calls:

16.0ms	(+ (* y (/ (- t z) a)) x)
18.0ms	(/ (- t z) a)
28.0ms	(* y (/ (- t z) a))

series137.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ (* y (/ (- t z) a)) x)
32.0ms	(/ (- t z) a)
51.0ms	(* y (/ (- t z) a))

simplify1.6s

Counts

103 → 103

Iterations

Useful iterations: 3 (799.0ms)

Iter	Nodes	Cost
0	145	1099
1	353	1018
2	1009	954
3	3749	921
done	5000	921

prune233.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes155.0ms

Accuracy

44% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.6b

bsearch91.0ms

Steps

Iters	Range		Point
10	8.628895881187182e+77	5.063891143071969e+88	8.709696976931574e+77
9	-1.150148971562691e-168	-3.7783709222567876e-174	-1.1312943038073094e-168

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	58
1	42	58
2	48	58
done	48	58

end0.0ms

sample714.0ms

Algorithm

intervals

Results

276.0ms

10537×

body

valid