Details

sample40.0ms

Algorithm

intervals

Results

21.0ms

263×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	16
1	102	16
2	292	16
3	803	16
4	2143	16
5	3616	16
6	4166	16
7	5002	16

prune4.0ms

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: 28.9b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
28.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 99

Calls

4 calls:

9.0ms	(* (+ (* (+ y a) y) b) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms	(* (+ (* x y) z) y)
26.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series448.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ (* (+ y a) y) b) y)
54.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
32.0ms	(* (+ (* x y) z) y)
328.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify68.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	534	1179
1	2148	1042
2	5001	1024

prune566.0ms

Filtered

111 candidates to 96 candidates (86.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	96	15	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	15	112

Merged error: 27.9b

Counts

112 → 15

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)
0.0b	(fma (fma (+ y a) y b) y c)
0.1b	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
28.2b	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log`
9×	`add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `div-exp` `fma-udef` `associate-/l*`
2×	`cbrt-undiv` `prod-exp`
1×	`frac-2neg` `1-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 54

Calls

4 calls:

1.0ms	(fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)
1.0ms	(fma (fma (+ y a) y b) y c)
1.0ms	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
7.0ms	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

series507.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t)
54.0ms	(fma (fma (+ y a) y b) y c)
55.0ms	(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
304.0ms	(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

simplify100.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	230	526
1	682	443
2	3117	439
3	5001	437

prune355.0ms

Filtered

66 candidates to 55 candidates (83.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	59	7	66
Fresh	7	7	14
Picked	1	0	1
Done	0	0	0
Total	67	14	81

Merged error: 27.9b

Counts

81 → 14

localize31.0ms

Local error

Found 4 expressions with local error:

23.0b	(cbrt (* (+ (* x y) z) y))
23.0b	(cbrt (* (+ (* x y) z) y))
23.0b	(cbrt (* (+ (* x y) z) y))
28.2b	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*l/` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 72

Calls

4 calls:

6.0ms	(cbrt (* (+ (* x y) z) y))
5.0ms	(cbrt (* (+ (* x y) z) y))
5.0ms	(cbrt (* (+ (* x y) z) y))
33.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series791.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (* (+ (* x y) z) y))
122.0ms	(cbrt (* (+ (* x y) z) y))
122.0ms	(cbrt (* (+ (* x y) z) y))
419.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	416	1716
1	1284	1557
2	5001	1500

prune531.0ms

Filtered

84 candidates to 78 candidates (92.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	85	13	98

Merged error: 27.9b

Counts

98 → 13

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (pow (cbrt (* (+ (* x y) z) y)) 3))
0.5b	(pow (cbrt (* (+ (* x y) z) y)) 3)
23.0b	(cbrt (* (+ (* x y) z) y))
28.2b	(/ (+ (+ t (* y (+ (* y (pow (cbrt (* (+ (* x y) z) y)) 3)) (* y 27464.7644705)))) (* y 230661.510616)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-r`
12×	`add-exp-log`
9×	`unpow-prod-down` `times-frac` `cube-prod`
8×	`add-cbrt-cube`
6×	`cbrt-div` `associate-*l/`
5×	`pow1` `cbrt-prod` `flip3-+` `flip-+`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `associate-l` `prod-exp` `associate-/r` `associate-/l` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `pow-pow` `pow1/3` `unpow3` `associate-*r/` `pow-exp` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `rem-cube-cbrt`

Counts

4 → 113

Calls

4 calls:

8.0ms	(* y (pow (cbrt (* (+ (* x y) z) y)) 3))
4.0ms	(pow (cbrt (* (+ (* x y) z) y)) 3)
5.0ms	(cbrt (* (+ (* x y) z) y))
19.0ms	(/ (+ (+ t (* y (+ (* y (pow (cbrt (* (+ (* x y) z) y)) 3)) (* y 27464.7644705)))) (* y 230661.510616)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series714.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* y (pow (cbrt (* (+ (* x y) z) y)) 3))
154.0ms	(pow (cbrt (* (+ (* x y) z) y)) 3)
122.0ms	(cbrt (* (+ (* x y) z) y))
384.0ms	(/ (+ (+ t (* y (+ (* y (pow (cbrt (* (+ (* x y) z) y)) 3)) (* y 27464.7644705)))) (* y 230661.510616)) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify124.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	638	1624
1	3346	1369
2	5001	1341

prune530.0ms

Filtered

125 candidates to 94 candidates (75.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	125	13	138

Merged error: 27.9b

Counts

138 → 13

regimes642.0ms

Accuracy

0% (1.1b remaining)

Error of 29.0b against oracle of 27.9b and baseline of 29.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	20
1	48	20

end0.0ms

sample995.0ms

Algorithm

intervals

Results

655.0ms

8224×

body

valid