Details

sample61.0ms

Algorithm

intervals

Results

26.0ms

256×

body

valid

simplify74.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	28
3	28
2	24
1	16
0	10

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.1b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `associate-r` `associate-l` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

133.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
39.0ms	(* 1.1283791670955126 (exp z))
31.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
72.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
48.0ms	(* 1.1283791670955126 (exp z))
101.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
176.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify6.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
3	3977
2	1142
1	377
0	157

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize204.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.4b	(- (* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z)))) (* x y))
0.5b	(* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z))))
7.1b	(/ y (- (* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z)))) (* x y)))

rewrite746.0ms

Algorithm

rewrite-expression-head

Rules

55×	`pow1`
28×	`sqrt-pow1`
22×	`add-sqr-sqrt`
21×	`pow-prod-down`
18×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `pow1/2` `pow-prod-up`
9×	`times-frac` `add-exp-log`
7×	`associate-r` `associate-l`
6×	`pow-sqr` `add-log-exp`
4×	`expm1-log1p-u` `swap-sqr` `sqrt-prod` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `associate-/l`
2×	`flip3--` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`pow2` `cbrt-undiv` `clear-num` `sub-neg` `rem-square-sqrt` `frac-2neg` `pow-plus` `fma-neg` `sqrt-unprod` `diff-log` `div-exp` `prod-diff` `div-inv`

Counts

4 → 122

Calls

4 calls:

49.0ms	(* 1.1283791670955126 (exp z))
181.0ms	(- (* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z)))) (* x y))
164.0ms	(* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z))))
342.0ms	(/ y (- (* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z)))) (* x y)))

series891.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* 1.1283791670955126 (exp z))
232.0ms	(- (* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z)))) (* x y))
90.0ms	(* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z))))
525.0ms	(/ y (- (* (sqrt (* 1.1283791670955126 (exp z))) (sqrt (* 1.1283791670955126 (exp z)))) (* x y)))

simplify7.6s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
3	4465
2	1297
1	441
0	178

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize141.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(log (exp (* 1.1283791670955126 (exp z))))
0.4b	(- (log (exp (* 1.1283791670955126 (exp z)))) (* x y))
7.1b	(/ y (- (log (exp (* 1.1283791670955126 (exp z)))) (* x y)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `times-frac` `log-pow`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`log-prod` `fma-neg` `prod-diff`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`exp-prod` `associate-/r` `exp-to-pow` `associate-r` `associate-l` `associate--l+` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

49.0ms	(* 1.1283791670955126 (exp z))
9.0ms	(log (exp (* 1.1283791670955126 (exp z))))
30.0ms	(- (log (exp (* 1.1283791670955126 (exp z)))) (* x y))
58.0ms	(/ y (- (log (exp (* 1.1283791670955126 (exp z)))) (* x y)))

series398.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* 1.1283791670955126 (exp z))
31.0ms	(log (exp (* 1.1283791670955126 (exp z))))
126.0ms	(- (log (exp (* 1.1283791670955126 (exp z)))) (* x y))
210.0ms	(/ y (- (log (exp (* 1.1283791670955126 (exp z)))) (* x y)))

simplify7.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5003
3	3738
2	1021
1	345
0	158

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize171.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
2.5b	(/ (- (* (exp z) 1.1283791670955126) (* y x)) (cbrt y))
4.9b	(/ (* (cbrt y) (cbrt y)) (/ (- (* (exp z) 1.1283791670955126) (* y x)) (cbrt y)))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

76×	`times-frac`
47×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
36×	`cbrt-prod`
28×	`associate-/r*`
18×	`add-exp-log`
11×	`add-cbrt-cube`
7×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow1/3` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

4 → 140

Calls

4 calls:

3.0ms	(cbrt y)
3.0ms	(cbrt y)
82.0ms	(/ (- (* (exp z) 1.1283791670955126) (* y x)) (cbrt y))
99.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* (exp z) 1.1283791670955126) (* y x)) (cbrt y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

310.0ms	(cbrt y)
318.0ms	(cbrt y)
517.0ms	(/ (- (* (exp z) 1.1283791670955126) (* y x)) (cbrt y))
253.0ms	(/ (* (cbrt y) (cbrt y)) (/ (- (* (exp z) 1.1283791670955126) (* y x)) (cbrt y)))

simplify4.8s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
2	2231
1	652
0	227

prune2.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes1.0s

Accuracy

59.2% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.0b

bsearch105.0ms

Steps

Iters	Range		Point
14	0.0	0.7557181553585829	6.9432478850086e-310

simplify8.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

8000×

body

valid