Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	10
1	79	10
2	210	10
3	483	10
4	910	10
5	1516	10
6	2818	10
7	5001	10

prune6.0ms

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: 26.5b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.5b	(+ (* (+ x y) z) (* (+ t y) a))
24.8b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

6.0ms	(* (+ x y) z)
10.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
15.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series778.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
99.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
54.0ms	(+ (* (+ x y) z) (* (+ t y) a))
604.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify72.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	568	1186
1	2526	1087
2	5003	1076

prune397.0ms

Filtered

117 candidates to 93 candidates (79.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	105	12	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	12	118

Merged error: 9.0b

Counts

118 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma x z (* z y))
1.7b	(- (+ (* 1 (fma x z (* z y))) (* (+ t y) a)) (* y b))
2.5b	(+ (* 1 (fma x z (* z y))) (* (+ t y) a))
24.8b	(/ (- (+ (* 1 (fma x z (* z y))) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
12×	`distribute-lft-out`
11×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `prod-diff` `fma-udef` `associate-/l*`
2×	`associate-+l+` `flip3--` `flip3-+` `diff-log` `sum-log` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `fma-def` `frac-2neg` `distribute-lft-in` `div-sub` `div-exp` `associate--l+` `clear-num` `div-inv`

Counts

4 → 90

Calls

4 calls:

1.0ms	(fma x z (* z y))
6.0ms	(- (+ (* 1 (fma x z (* z y))) (* (+ t y) a)) (* y b))
4.0ms	(+ (* 1 (fma x z (* z y))) (* (+ t y) a))
11.0ms	(/ (- (+ (* 1 (fma x z (* z y))) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series411.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(fma x z (* z y))
104.0ms	(- (+ (* 1 (fma x z (* z y))) (* (+ t y) a)) (* y b))
49.0ms	(+ (* 1 (fma x z (* z y))) (* (+ t y) a))
229.0ms	(/ (- (+ (* 1 (fma x z (* z y))) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify55.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	398	1160
1	1831	1052
2	5001	1028

prune387.0ms

Filtered

102 candidates to 75 candidates (73.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	104	10	114

Merged error: 9.0b

Counts

114 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma x z (* z y))
1.3b	(- (* (+ t y) a) (* y b))
2.7b	(+ (fma x z (* z y)) (- (* (+ t y) a) (* y b)))
24.8b	(/ (+ (+ x t) y) (+ (fma x z (* z y)) (- (* (+ t y) a) (* y b))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

1.0ms	(fma x z (* z y))
10.0ms	(- (* (+ t y) a) (* y b))
7.0ms	(+ (fma x z (* z y)) (- (* (+ t y) a) (* y b)))
13.0ms	(/ (+ (+ x t) y) (+ (fma x z (* z y)) (- (* (+ t y) a) (* y b))))

series265.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma x z (* z y))
29.0ms	(- (* (+ t y) a) (* y b))
101.0ms	(+ (fma x z (* z y)) (- (* (+ t y) a) (* y b)))
100.0ms	(/ (+ (+ x t) y) (+ (fma x z (* z y)) (- (* (+ t y) a) (* y b))))

simplify51.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	335	1086
1	1460	1023
2	5002	1010

prune338.0ms

Filtered

108 candidates to 77 candidates (71.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	106	12	118

Merged error: 9.0b

Counts

118 → 12

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
1.7b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.5b	(+ (* (+ x y) z) (* (+ t y) a))
24.8b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
32×	`times-frac`
26×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
7×	`pow1` `flip3-+` `flip-+`
5×	`associate-/r*`
4×	`expm1-log1p-u` `div-exp` `frac-add` `prod-exp` `associate-/r/` `log1p-expm1-u`
3×	`flip3--` `fma-neg` `associate-l` `prod-diff` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `diff-log` `1-exp` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `fma-def` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 133

Calls

4 calls:

7.0ms	(/ 1 (+ (+ x t) y))
10.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
7.0ms	(+ (* (+ x y) z) (* (+ t y) a))
22.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series800.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ 1 (+ (+ x t) y))
97.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
53.0ms	(+ (* (+ x y) z) (* (+ t y) a))
593.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	606	1370
1	2954	1192
2	5001	1143

prune358.0ms

Filtered

145 candidates to 95 candidates (65.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	143	2	145
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	145	12	157

Merged error: 9.0b

Counts

157 → 12

regimes438.0ms

Accuracy

11.7% (15.9b remaining)

Error of 24.5b against oracle of 8.5b and baseline of 26.6b

bsearch151.0ms

Steps

Iters	Range		Point
9	1.3162785925840912e+227	9.437977601653335e+232	1.3343332095766483e+227
5	-4.961076293749726e+105	-1.6602378069308091e+105	-2.607767836228133e+105
6	-1.972394196766702e+125	-3.3547147040715454e+124	-9.285471348708677e+124
10	-3.3206432797516923e+212	-7.001826016169787e+195	-7.128374583617386e+195

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	11
1	42	11

end0.0ms

sample633.0ms

Algorithm

intervals

Results

364.0ms	7999×	body	80	valid
0.0ms	1×	body	320	valid