Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	295×	body	80	valid
0.0ms	5×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	2×	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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

8.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify84.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	149	120
1	720	103
2	3972	103
3	5002	103

prune43.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (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))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

15.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
7.0ms	(cbrt (+ (+ 3.0 d2) d3))
5.0ms	(cbrt (+ (+ 3.0 d2) d3))
5.0ms	(cbrt (+ (+ 3.0 d2) d3))

series380.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
96.0ms	(cbrt (+ (+ 3.0 d2) d3))
95.0ms	(cbrt (+ (+ 3.0 d2) d3))
97.0ms	(cbrt (+ (+ 3.0 d2) d3))

simplify131.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	304	1036
1	964	979
2	4398	875
3	5001	870

prune224.0ms

Filtered

117 candidates to 75 candidates (64.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Merged error: 0b

Counts

121 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
3.3b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
9.5b	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
14.3b	(/ (* 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))

series236.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
40.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
82.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
98.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify84.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (73.0ms)

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

prune192.0ms

Filtered

127 candidates to 77 candidates (60.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	127	4	131

Merged error: 0b

Counts

131 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (pow (+ 3.0 d2) 3) (pow d3 3))
2.2b	(- (* d3 d3) (* (+ 3.0 d2) d3))
4.9b	(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
26.4b	(/ (* 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:

14.0ms	(+ (pow (+ 3.0 d2) 3) (pow d3 3))
3.0ms	(- (* d3 d3) (* (+ 3.0 d2) d3))
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))))

series447.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (pow (+ 3.0 d2) 3) (pow d3 3))
32.0ms	(- (* d3 d3) (* (+ 3.0 d2) d3))
157.0ms	(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
197.0ms	(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

simplify119.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (98.0ms)

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

prune284.0ms

Filtered

119 candidates to 78 candidates (65.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	119	4	123

Merged error: 0b

Counts

123 → 4

regimes55.0ms

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

sample514.0ms

Algorithm

intervals

Results

255.0ms	9566×	body	80	valid
20.0ms	214×	body	640	valid
11.0ms	95×	body	1280	valid
10.0ms	144×	body	320	valid
4.0ms	89×	body	160	valid

Details

sample19.0ms

simplify9.0ms

prune5.0ms

localize5.0ms

rewrite9.0ms

series30.0ms

simplify84.0ms

prune43.0ms

localize9.0ms

rewrite37.0ms

series380.0ms

simplify131.0ms

prune224.0ms

localize10.0ms

rewrite49.0ms

series236.0ms

simplify84.0ms

prune192.0ms

localize16.0ms

rewrite73.0ms

series447.0ms

simplify119.0ms

prune284.0ms

regimes55.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample514.0ms

Profiling