Details

sample25.0ms

Algorithm

intervals

Results

9.0ms	318×	body	80	valid
1.0ms	7×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune13.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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)))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify45.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5254	218

prune39.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

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: 0.0b

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)))

rewrite33.0ms

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:

14.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
5.0ms	(cbrt (+ 3.0 (+ d2 d3)))
5.0ms	(cbrt (+ 3.0 (+ d2 d3)))
5.0ms	(cbrt (+ 3.0 (+ d2 d3)))

series76.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (cbrt (+ 3.0 (+ d2 d3))) (cbrt (+ 3.0 (+ d2 d3))))
20.0ms	(cbrt (+ 3.0 (+ d2 d3)))
17.0ms	(cbrt (+ 3.0 (+ d2 d3)))
17.0ms	(cbrt (+ 3.0 (+ d2 d3)))

simplify57.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4909	1369
1	4909	1369

prune180.0ms

Filtered

71 candidates to 117 candidates (-64.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	116	1	117
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	117	4	121

Merged error: 0b

Counts

121 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 3.0 (+ d2 d3)))
0.0b	(sqrt (+ 3.0 (+ d2 d3)))
0.2b	(* d1 (sqrt (+ 3.0 (+ d2 d3))))
0.3b	(* (* d1 (sqrt (+ 3.0 (+ d2 d3)))) (sqrt (+ 3.0 (+ d2 d3))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

5.0ms	(sqrt (+ 3.0 (+ d2 d3)))
7.0ms	(sqrt (+ 3.0 (+ d2 d3)))
9.0ms	(* d1 (sqrt (+ 3.0 (+ d2 d3))))
15.0ms	(* (* d1 (sqrt (+ 3.0 (+ d2 d3)))) (sqrt (+ 3.0 (+ d2 d3))))

series36.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt (+ 3.0 (+ d2 d3)))
7.0ms	(sqrt (+ 3.0 (+ d2 d3)))
15.0ms	(* d1 (sqrt (+ 3.0 (+ d2 d3))))
7.0ms	(* (* d1 (sqrt (+ 3.0 (+ d2 d3)))) (sqrt (+ 3.0 (+ d2 d3))))

simplify41.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5114	1143

prune131.0ms

Filtered

65 candidates to 103 candidates (-58.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	103	4	107

Merged error: 0b

Counts

107 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (- 3.0 (+ d2 d3)))
10.5b	(/ (* (cbrt (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (cbrt (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))) (* (cbrt (- 3.0 (+ d2 d3))) (cbrt (- 3.0 (+ d2 d3)))))
22.0b	(cbrt (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
22.0b	(cbrt (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
16×	`add-exp-log`
15×	`flip3--` `flip--`
14×	`cbrt-prod`
12×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`frac-times` `associate-/r/` `add-cbrt-cube` `associate-/l/`
7×	`add-cube-cbrt`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`distribute-lft-out--`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `distribute-lft-out` `associate-/l`

Counts

4 → 81

Calls

4 calls:

5.0ms	(cbrt (- 3.0 (+ d2 d3)))
26.0ms	(/ (* (cbrt (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (cbrt (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))) (* (cbrt (- 3.0 (+ d2 d3))) (cbrt (- 3.0 (+ d2 d3)))))
4.0ms	(cbrt (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
4.0ms	(cbrt (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))

series167.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt (- 3.0 (+ d2 d3)))
51.0ms	(/ (* (cbrt (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3)))) (cbrt (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))) (* (cbrt (- 3.0 (+ d2 d3))) (cbrt (- 3.0 (+ d2 d3)))))
47.0ms	(cbrt (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))
51.0ms	(cbrt (- (* 3.0 3.0) (* (+ d2 d3) (+ d2 d3))))

simplify53.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4974	1896
1	4974	1896

prune299.0ms

Filtered

80 candidates to 93 candidates (-16.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0b

Counts

97 → 4

regimes142.0ms

Accuracy

0% (0.0b 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	7
1	10	7

end0.0ms

sample692.0ms

Algorithm

intervals

Results

293.0ms	9609×	body	80	valid
27.0ms	231×	body	640	valid
14.0ms	167×	body	320	valid
12.0ms	88×	body	1280	valid
5.0ms	85×	body	160	valid

Details

sample25.0ms

simplify3.0ms

prune13.0ms

localize6.0ms

rewrite8.0ms

series8.0ms

simplify45.0ms

prune39.0ms

localize9.0ms

rewrite33.0ms

series76.0ms

simplify57.0ms

prune180.0ms

localize7.0ms

rewrite40.0ms

series36.0ms

simplify41.0ms

prune131.0ms

localize22.0ms

rewrite42.0ms

series167.0ms

simplify53.0ms

prune299.0ms

regimes142.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample692.0ms

Profiling