Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

257×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	28	6
3	28	6

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 2.6b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite26.0ms

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:

9.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
16.0ms	(* 1.1283791670955126 (exp z))
54.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
68.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	356	637
1	1280	593
2	5001	590

prune205.0ms

Filtered

96 candidates to 76 candidates (79.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	5	97

Merged error: 0b

Counts

97 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.2b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `div-sub` `prod-diff` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
8.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series192.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* 1.1283791670955126 (exp z))
46.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
56.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
69.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify71.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	547	1434
1	2526	1298
2	5002	1226

prune242.0ms

Filtered

158 candidates to 98 candidates (62.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	159	4	163

Merged error: 0b

Counts

163 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

11.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
4.0ms	(/ (exp z) y)
7.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
7.0ms	(* 1.1283791670955126 (/ (exp z) y))

series137.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x)))
16.0ms	(/ (exp z) y)
57.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
23.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify52.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	447	788
1	1789	716
2	5002	710

prune219.0ms

Filtered

128 candidates to 90 candidates (70.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	128	4	132

Merged error: 0b

Counts

132 → 4

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b

(- (fma (* 0.443113462726379 z) z 0.886226925452758) (* 0.886226925452758 z))

0.1b

(fma (* 0.443113462726379 z) z 0.886226925452758)

4.3b

(* y (- (fma (* 0.443113462726379 z) z 0.886226925452758) (* 0.886226925452758 z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`fma-udef`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `associate-r` `associate-l` `associate--l+` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

5.0ms

(- (fma (* 0.443113462726379 z) z 0.886226925452758) (* 0.886226925452758 z))

1.0ms

(fma (* 0.443113462726379 z) z 0.886226925452758)

10.0ms

(* y (- (fma (* 0.443113462726379 z) z 0.886226925452758) (* 0.886226925452758 z)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms

(- (fma (* 0.443113462726379 z) z 0.886226925452758) (* 0.886226925452758 z))

92.0ms

(fma (* 0.443113462726379 z) z 0.886226925452758)

80.0ms

(* y (- (fma (* 0.443113462726379 z) z 0.886226925452758) (* 0.886226925452758 z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	214	505
1	968	443
2	5001	424

prune128.0ms

Filtered

74 candidates to 50 candidates (67.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	74	4	78

Merged error: 0b

Counts

78 → 4

regimes131.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample495.0ms

Algorithm

intervals

Results

321.0ms

8003×

body

valid