Details

sample43.0ms

Algorithm

intervals

Results

24.0ms

753×

body

valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	41	4
2	102	4
3	224	4
4	401	4
5	758	4
6	2403	4
7	5002	4

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: 8.5b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
8.0b	(/ (* (cosh x) (/ y x)) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `cosh-def` `prod-exp` `cbrt-unprod`
3×	`associate-l` `associate-/r*` `associate-/l/`
2×	`frac-times` `associate-r/` `associate-l/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

2 → 60

Calls

2 calls:

7.0ms	(* (cosh x) (/ y x))
6.0ms	(/ (* (cosh x) (/ y x)) z)

series184.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (cosh x) (/ y x))
112.0ms	(/ (* (cosh x) (/ y x)) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	345	374
1	1456	317
2	5001	317

prune134.0ms

Filtered

66 candidates to 49 candidates (74.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	9	67

Merged error: 0.0b

Counts

67 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/2 (/ (* x y) z)) (/ y (* x z)))
0.0b	(* 1/2 (/ (* x y) z))
4.3b	(/ (* x y) z)
7.4b	(/ y (* x z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`associate-r`
6×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-/r` `associate-/l`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `associate-*r/` `clear-num`
1×	`+-commutative` `flip3-+` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

7.0ms	(+ (* 1/2 (/ (* x y) z)) (/ y (* x z)))
6.0ms	(* 1/2 (/ (* x y) z))
4.0ms	(/ (* x y) z)
4.0ms	(/ y (* x z))

series110.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* 1/2 (/ (* x y) z)) (/ y (* x z)))
25.0ms	(* 1/2 (/ (* x y) z))
18.0ms	(/ (* x y) z)
23.0ms	(/ y (* x z))

simplify46.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	354	442
1	1722	388
2	5002	388

prune145.0ms

Filtered

93 candidates to 61 candidates (65.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	91	11	102

Merged error: 0.0b

Counts

102 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/2 (/ (* x y) z)) (* (/ 1 x) (/ y z)))
0.0b	(* 1/2 (/ (* x y) z))
4.3b	(/ (* x y) z)
6.3b	(* (/ 1 x) (/ y z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`add-exp-log`
31×	`times-frac`
30×	`add-cbrt-cube`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
20×	`associate-r`
16×	`associate-l`
13×	`prod-exp`
12×	`div-exp`
9×	`cbrt-unprod`
8×	`pow1` `cbrt-undiv`
7×	`unswap-sqr`
6×	`associate-*r/` `add-log-exp`
4×	`div-inv`
3×	`frac-add` `associate-/r*`
2×	`frac-times` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `associate-/l*`

Counts

4 → 118

Calls

4 calls:

5.0ms	(+ (* 1/2 (/ (* x y) z)) (* (/ 1 x) (/ y z)))
6.0ms	(* 1/2 (/ (* x y) z))
4.0ms	(/ (* x y) z)
10.0ms	(* (/ 1 x) (/ y z))

series106.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* 1/2 (/ (* x y) z)) (* (/ 1 x) (/ y z)))
25.0ms	(* 1/2 (/ (* x y) z))
18.0ms	(/ (* x y) z)
19.0ms	(* (/ 1 x) (/ y z))

simplify72.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	601	685
1	3053	586
2	5001	580

prune208.0ms

Filtered

130 candidates to 84 candidates (64.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	3	6	9
Picked	0	1	1
Done	0	1	1
Total	131	10	141

Merged error: 0b

Counts

141 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/2 (/ (* x y) z)) (/ (/ y z) x))
0.0b	(* 1/2 (/ (* x y) z))
4.3b	(/ (* x y) z)
6.2b	(/ (/ y z) x)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
53×	`add-sqr-sqrt`
51×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
14×	`associate-/l*`
7×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
6×	`pow1` `associate-/r*` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
3×	`associate-l`
2×	`frac-2neg` `associate-*r/` `clear-num`
1×	`+-commutative` `flip3-+` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `associate-/l/` `unswap-sqr`

Counts

4 → 130

Calls

4 calls:

16.0ms	(+ (* 1/2 (/ (* x y) z)) (/ (/ y z) x))
6.0ms	(* 1/2 (/ (* x y) z))
4.0ms	(/ (* x y) z)
6.0ms	(/ (/ y z) x)

series106.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* 1/2 (/ (* x y) z)) (/ (/ y z) x))
25.0ms	(* 1/2 (/ (* x y) z))
18.0ms	(/ (* x y) z)
18.0ms	(/ (/ y z) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	571	805
1	2617	750
2	5001	750

prune240.0ms

Filtered

142 candidates to 104 candidates (73.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	1	6	7
Picked	0	1	1
Done	1	1	2
Total	143	9	152

Merged error: 0b

Counts

152 → 9

regimes189.0ms

Accuracy

93.7% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 7.7b

bsearch84.0ms

Steps

Iters	Range		Point
7	1544.5240705764909	26814.16534617017	12219.624869563231
6	-8.013143688821878e-22	-8.810326546476336e-23	-6.197546788605158e-22

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	25
1	41	25

end0.0ms

sample1.2s

Algorithm

intervals

Results

720.0ms

22384×

body

valid