Details

sample22.0ms

Algorithm

intervals

Results

11.0ms	325×	body	80	valid
0.0ms	3×	body	320	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	19	6
1	40	5
2	123	4
3	249	4
4	355	4
5	355	4

prune5.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ d2 (+ (+ d3 5.0) 32.0))
0.0b	(+ (+ d3 5.0) 32.0)
0.0b	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
17×	`add-log-exp`
15×	`distribute-lft-out`
9×	`sum-log`
7×	`add-sqr-sqrt`
6×	`associate-r`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`flip3-+` `associate-l` `flip-+`
2×	`+-commutative` `associate-*r/`
1×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

8.0ms	(+ d2 (+ (+ d3 5.0) 32.0))
5.0ms	(+ (+ d3 5.0) 32.0)
10.0ms	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

series61.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ d2 (+ (+ d3 5.0) 32.0))
20.0ms	(+ (+ d3 5.0) 32.0)
29.0ms	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

simplify33.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	266	297
1	1169	269
2	5002	269

prune105.0ms

Filtered

66 candidates to 41 candidates (62.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt d1) (cbrt d1))
0.6b	(cbrt d1)
0.6b	(cbrt d1)
0.6b	(cbrt d1)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt d1) (cbrt d1))
1.0ms	(cbrt d1)
1.0ms	(cbrt d1)
1.0ms	(cbrt d1)

series734.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt d1) (cbrt d1))
178.0ms	(cbrt d1)
177.0ms	(cbrt d1)
178.0ms	(cbrt d1)

simplify86.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune191.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
1.7b	(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
6.9b	(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
14.1b	(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
30×	`distribute-lft-out`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
11×	`swap-sqr`
9×	`associate-r`
8×	`associate-l`
7×	`times-frac` `associate-/r*`
6×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out--` `add-log-exp`
4×	`distribute-rgt-in` `frac-times` `flip3--` `distribute-lft-in` `flip--` `difference-of-squares`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `associate--r+` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 120

Calls

4 calls:

13.0ms	(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
3.0ms	(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
6.0ms	(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
13.0ms	(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
33.0ms	(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))
82.0ms	(* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))))
94.0ms	(/ (* d1 (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)))) (- d2 (+ (+ d3 5.0) 32.0)))

simplify92.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	558	1314
1	3071	1145
2	5001	1126

prune236.0ms

Filtered

132 candidates to 79 candidates (59.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	131	5	136

Merged error: 0b

Counts

136 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ d3 5.0) 32.0)
0.0b	(+ (+ d3 5.0) 32.0)
0.2b	(* d1 (sqrt (+ d2 (+ (+ d3 5.0) 32.0))))
0.2b	(* (* d1 (sqrt (+ d2 (+ (+ d3 5.0) 32.0)))) (sqrt (+ d2 (+ (+ d3 5.0) 32.0))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
18×	`associate-r` `distribute-lft-out`
14×	`sqrt-div` `add-log-exp`
13×	`add-sqr-sqrt` `sqrt-prod`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`add-cube-cbrt` `flip3-+` `flip-+`
6×	`sum-log`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+l+` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

6.0ms	(+ (+ d3 5.0) 32.0)
6.0ms	(+ (+ d3 5.0) 32.0)
11.0ms	(* d1 (sqrt (+ d2 (+ (+ d3 5.0) 32.0))))
24.0ms	(* (* d1 (sqrt (+ d2 (+ (+ d3 5.0) 32.0)))) (sqrt (+ d2 (+ (+ d3 5.0) 32.0))))

series163.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (+ d3 5.0) 32.0)
27.0ms	(+ (+ d3 5.0) 32.0)
79.0ms	(* d1 (sqrt (+ d2 (+ (+ d3 5.0) 32.0))))
30.0ms	(* (* d1 (sqrt (+ d2 (+ (+ d3 5.0) 32.0)))) (sqrt (+ d2 (+ (+ d3 5.0) 32.0))))

simplify62.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	381	748
1	1641	650
2	5002	634

prune194.0ms

Filtered

101 candidates to 60 candidates (59.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	101	5	106

Merged error: 0b

Counts

106 → 5

regimes86.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample511.0ms

Algorithm

intervals

Results

288.0ms	10172×	body	80	valid
2.0ms	16×	body	640	valid
1.0ms	7×	body	1280	valid
1.0ms	9×	body	320	valid
0.0ms	9×	body	160	valid