Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	300×	body	80	valid
1.0ms	11×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	4×	body	1280	valid
0.0ms	4×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

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: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ 3.0 d2) d3)
0.0b	(* d1 (+ (+ 3.0 d2) d3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

6.0ms	(+ (+ 3.0 d2) d3)
8.0ms	(* d1 (+ (+ 3.0 d2) d3))

series47.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ (+ 3.0 d2) d3)
34.0ms	(* d1 (+ (+ 3.0 d2) d3))

simplify99.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	180	185
1	842	163
2	4491	162
3	5002	162

prune74.0ms

Filtered

45 candidates to 29 candidates (64.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	5	47

Merged error: 0b

Counts

47 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))
0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(cbrt (+ (+ 3.0 d2) d3))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
29×	`*-un-lft-identity`
28×	`frac-times`
20×	`cbrt-prod`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`distribute-lft-out`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-r` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 97

Calls

4 calls:

28.0ms	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))
6.0ms	(cbrt (+ (+ 3.0 d2) d3))
5.0ms	(cbrt (+ (+ 3.0 d2) d3))
5.0ms	(cbrt (+ (+ 3.0 d2) d3))

series321.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))
99.0ms	(cbrt (+ (+ 3.0 d2) d3))
94.0ms	(cbrt (+ (+ 3.0 d2) d3))
99.0ms	(cbrt (+ (+ 3.0 d2) d3))

simplify63.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	483	1526
1	1672	1364
2	5002	1313

prune219.0ms

Filtered

109 candidates to 70 candidates (64.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	109	5	114

Merged error: 0b

Counts

114 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
2.6b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
6.9b	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
14.1b	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate--l+` `associate-/r` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `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/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

8.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
8.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
12.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
17.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series231.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
39.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
76.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
100.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify82.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	538	973
1	2736	846
2	5002	842

prune182.0ms

Filtered

127 candidates to 77 candidates (60.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	127	5	132

Merged error: 0b

Counts

132 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

1.7b	(- (* d3 d3) (* (+ 3.0 d2) d3))
3.3b	(+ (pow (+ 3.0 d2) 3) (pow d3 3))
5.3b	(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
24.2b	(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity`
26×	`distribute-lft-out`
18×	`associate-/r/`
16×	`unpow-prod-down` `flip3-+` `cube-prod` `frac-add` `flip-+`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`flip3--` `flip--`
8×	`frac-times` `add-cube-cbrt` `associate-*r/` `add-log-exp`
6×	`pow1`
4×	`associate-*l/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `sum-cubes` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-rgt-out--` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

3.0ms	(- (* d3 d3) (* (+ 3.0 d2) d3))
14.0ms	(+ (pow (+ 3.0 d2) 3) (pow d3 3))
19.0ms	(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
33.0ms	(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

series450.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (* d3 d3) (* (+ 3.0 d2) d3))
69.0ms	(+ (pow (+ 3.0 d2) 3) (pow d3 3))
156.0ms	(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
196.0ms	(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

simplify136.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	824	1527
1	4352	1379
2	5001	1374

prune280.0ms

Filtered

119 candidates to 78 candidates (65.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	119	5	124

Merged error: 0b

Counts

124 → 5

regimes60.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample560.0ms

Algorithm

intervals

Results

298.0ms	9590×	body	80	valid
23.0ms	217×	body	640	valid
14.0ms	84×	body	1280	valid
12.0ms	149×	body	320	valid
7.0ms	90×	body	160	valid