Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	24	12
3	28	12
done	28	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite153.0ms

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` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

49.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
25.0ms	(* 1.1283791670955126 (exp z))
25.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
52.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
21.0ms	(* 1.1283791670955126 (exp z))
102.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
96.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify997.0ms

Counts

96 → 96

Iterations

Useful iterations: done (994.0ms)

Iter	Nodes	Cost
0	153	1249
1	374	1179
2	1372	1105
done	5000	1104

prune408.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.3b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`*-un-lft-identity`
55×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `pow-flip` `flip3-+` `fma-neg` `diff-log` `div-sub` `prod-diff` `sum-log` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 144

Calls

4 calls:

54.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
26.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
25.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
38.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series326.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
79.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
87.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
107.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify3.1s

Counts

156 → 156

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	235	2917
1	630	2643
2	2952	2498
done	5001	2261

prune549.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (cbrt 1) (cbrt 1)) (fma (/ 1.1283791670955126 y) (exp z) (- x))))
0.0b	(fma (/ 1.1283791670955126 y) (exp z) (- x))
0.1b	(/ (* (cbrt 1) (cbrt 1)) (fma (/ 1.1283791670955126 y) (exp z) (- x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-exp-log` `*-un-lft-identity`
6×	`add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `times-frac` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `fma-udef` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

3 → 50

Calls

3 calls:

9.0ms	(+ x (/ (* (cbrt 1) (cbrt 1)) (fma (/ 1.1283791670955126 y) (exp z) (- x))))
0.0ms	(fma (/ 1.1283791670955126 y) (exp z) (- x))
17.0ms	(/ (* (cbrt 1) (cbrt 1)) (fma (/ 1.1283791670955126 y) (exp z) (- x)))

series240.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ x (/ (* (cbrt 1) (cbrt 1)) (fma (/ 1.1283791670955126 y) (exp z) (- x))))
78.0ms	(fma (/ 1.1283791670955126 y) (exp z) (- x))
94.0ms	(/ (* (cbrt 1) (cbrt 1)) (fma (/ 1.1283791670955126 y) (exp z) (- x)))

simplify741.0ms

Counts

59 → 59

Iterations

Useful iterations: done (738.0ms)

Iter	Nodes	Cost
0	109	1031
1	279	800
2	1025	714
done	5001	708

prune322.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (/ y (fma x (- y) (* 1.1283791670955126 (exp z))))))
0.0b	(* 1.1283791670955126 (exp z))
7.3b	(/ y (fma x (- y) (* 1.1283791670955126 (exp z))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

19.0ms	(+ x (* 1 (/ y (fma x (- y) (* 1.1283791670955126 (exp z))))))
20.0ms	(* 1.1283791670955126 (exp z))
6.0ms	(/ y (fma x (- y) (* 1.1283791670955126 (exp z))))

series506.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ x (* 1 (/ y (fma x (- y) (* 1.1283791670955126 (exp z))))))
368.0ms	(* 1.1283791670955126 (exp z))
87.0ms	(/ y (fma x (- y) (* 1.1283791670955126 (exp z))))

simplify986.0ms

Counts

75 → 75

Iterations

Useful iterations: done (979.0ms)

Iter	Nodes	Cost
0	136	1021
1	319	930
2	1348	869
done	5001	866

prune296.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	13	16
1	16	14
2	17	12
done	17	12

end0.0ms

sample858.0ms

Algorithm

intervals

Results

534.0ms

8000×

body

valid