Details

sample50.0ms

Algorithm

intervals

Results

39.0ms

426×

body

valid

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	42
1	231	42
2	900	42
3	3753	42
4	5001	42

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.4b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.3b	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-exp-log` `add-cbrt-cube`
71×	`prod-exp` `cbrt-unprod`
68×	`pow1`
37×	`pow-prod-down`
27×	`associate-l`
22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
10×	`cbrt-undiv` `div-exp`
6×	`pow-plus` `pow-prod-up`
5×	`associate-r`
4×	`add-log-exp`
3×	`sqrt-prod` `*-commutative`
2×	`pow2` `associate-*l/` `pow-sqr` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3` `unswap-sqr`

Counts

4 → 137

Calls

4 calls:

6.0ms	(* (* (fabs x) (fabs x)) (fabs x))
14.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
57.0ms	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series26.0ms

Counts

4 → 10

Calls

4 calls:

5.0ms	(* (* (fabs x) (fabs x)) (fabs x))
7.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
14.0ms	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify81.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	772	1574
1	3310	931
2	5001	834

prune213.0ms

Filtered

147 candidates to 72 candidates (51.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	142	5	147
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	142	6	148

Merged error: 0.1b

Counts

148 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1`
35×	`add-exp-log` `add-cbrt-cube`
18×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
15×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-plus` `pow-prod-down` `pow-prod-up`
9×	`times-frac`
7×	`associate-r`
4×	`pow2` `pow-sqr` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `sqrt-prod` `*-commutative`
2×	`pow3` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `div-inv`

Counts

4 → 107

Calls

4 calls:

6.0ms	(* (* (fabs x) (fabs x)) (fabs x))
6.0ms	(* (* (fabs x) (fabs x)) (fabs x))
12.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series18.0ms

Counts

4 → 10

Calls

4 calls:

5.0ms	(* (* (fabs x) (fabs x)) (fabs x))
5.0ms	(* (* (fabs x) (fabs x)) (fabs x))
7.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify43.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	341	594
1	1378	417
2	5001	416

prune170.0ms

Filtered

117 candidates to 59 candidates (49.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	117	6	123

Merged error: 0.1b

Counts

123 → 6

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(* (cbrt 21.0) (cbrt 21.0))
1.0b	(sqrt PI)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1`
32×	`add-exp-log`
31×	`add-sqr-sqrt`
30×	`add-cbrt-cube`
21×	`add-cube-cbrt` `*-un-lft-identity`
20×	`associate-l`
16×	`cbrt-prod` `prod-exp` `cbrt-unprod`
11×	`pow-prod-down`
10×	`associate-r`
9×	`times-frac`
8×	`pow-prod-up`
7×	`pow-plus`
6×	`pow1/3` `swap-sqr`
5×	`unswap-sqr`
4×	`pow-sqr` `add-log-exp`
3×	`cbrt-undiv` `pow2` `div-exp` `sqrt-prod` `*-commutative`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3` `associate-*l/` `div-inv`

Counts

4 → 119

Calls

4 calls:

6.0ms	(* (* (fabs x) (fabs x)) (fabs x))
12.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
6.0ms	(* (cbrt 21.0) (cbrt 21.0))
1.0ms	(sqrt PI)

series13.0ms

Counts

4 → 8

Calls

4 calls:

5.0ms	(* (* (fabs x) (fabs x)) (fabs x))
7.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(* (cbrt 21.0) (cbrt 21.0))
0.0ms	(sqrt PI)

simplify50.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	411	694
1	1705	550
2	5001	536

prune270.0ms

Filtered

127 candidates to 70 candidates (44.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	127	6	133

Merged error: 0.1b

Counts

133 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.3b	(/ (* (pow (fabs x) 6) (fabs x)) 21.0)
1.0b	(sqrt PI)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`pow1`
18×	`prod-exp`
17×	`add-sqr-sqrt`
16×	`cbrt-unprod`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-l`
12×	`times-frac`
9×	`pow-prod-down`
7×	`div-exp`
6×	`pow-plus` `pow-prod-up`
5×	`cbrt-undiv`
4×	`associate-r` `add-log-exp`
3×	`associate-/r*` `sqrt-prod`
2×	`pow2` `pow-sqr` `*-commutative` `div-inv`
1×	`pow-to-exp` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `pow3` `associate-l/` `pow-exp` `clear-num` `associate-/l` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

9.0ms	(* (* (fabs x) (fabs x)) (fabs x))
11.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
5.0ms	(/ (* (pow (fabs x) 6) (fabs x)) 21.0)
1.0ms	(sqrt PI)

series25.0ms

Counts

4 → 10

Calls

4 calls:

5.0ms	(* (* (fabs x) (fabs x)) (fabs x))
7.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
12.0ms	(/ (* (pow (fabs x) 6) (fabs x)) 21.0)
0.0ms	(sqrt PI)

simplify58.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	456	628
1	2080	488
2	5001	487

prune174.0ms

Filtered

112 candidates to 65 candidates (42.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	2	0	2
Picked	0	1	1
Done	2	1	3
Total	114	4	118

Merged error: 0.1b

Counts

118 → 4

regimes84.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	33
1	41	33

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.3s

13857×

body

valid

Details

sample50.0ms

simplify106.0ms

prune4.0ms

localize27.0ms

rewrite86.0ms

series26.0ms

simplify81.0ms

prune213.0ms

localize28.0ms

rewrite29.0ms

series18.0ms

simplify43.0ms

prune170.0ms

localize32.0ms

rewrite29.0ms

series13.0ms

simplify50.0ms

prune270.0ms

localize24.0ms

rewrite30.0ms

series25.0ms

simplify58.0ms

prune174.0ms

regimes84.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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