Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	315×	body	80	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	2×	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))

series45.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+ (+ 3.0 d2) d3)
29.0ms	(* d1 (+ (+ 3.0 d2) d3))

simplify96.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (26.0ms)

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

prune78.0ms

Filtered

45 candidates to 29 candidates (64.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Merged error: 0.0b

Counts

47 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (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:

14.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
8.0ms	(cbrt (+ (+ 3.0 d2) d3))
5.0ms	(cbrt (+ (+ 3.0 d2) d3))
5.0ms	(cbrt (+ (+ 3.0 d2) d3))

series377.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
94.0ms	(cbrt (+ (+ 3.0 d2) d3))
97.0ms	(cbrt (+ (+ 3.0 d2) d3))
95.0ms	(cbrt (+ (+ 3.0 d2) d3))

simplify129.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (118.0ms)

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

prune260.0ms

Filtered

117 candidates to 75 candidates (64.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	118	5	123

Merged error: 0.0b

Counts

123 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
24×	`cbrt-prod`
23×	`*-un-lft-identity`
9×	`flip3-+` `flip-+` `distribute-lft-out`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 65

Calls

4 calls:

5.0ms	(cbrt (+ (+ 3.0 d2) d3))
5.0ms	(cbrt (+ (+ 3.0 d2) d3))
6.0ms	(cbrt (cbrt (+ (+ 3.0 d2) d3)))
13.0ms	(cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3))))

series380.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (+ (+ 3.0 d2) d3))
97.0ms	(cbrt (+ (+ 3.0 d2) d3))
96.0ms	(cbrt (cbrt (+ (+ 3.0 d2) d3)))
91.0ms	(cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3))))

simplify83.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	369	786
1	889	740
2	2957	721
3	5001	719

prune274.0ms

Filtered

77 candidates to 65 candidates (84.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	77	5	82

Merged error: 0.0b

Counts

82 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

420×	`cbrt-div`
148×	`frac-times`
126×	`flip3-+` `flip-+`
50×	`associate-r/` `associate-l/`
12×	`add-sqr-sqrt`
11×	`pow1` `cbrt-prod`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `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 → 165

Calls

4 calls:

13.0ms	(cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3))))
13.0ms	(cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3))))
13.0ms	(cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3))))
12.0ms	(* (cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))))

series386.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3))))
92.0ms	(cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3))))
92.0ms	(cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3))))
109.0ms	(* (cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))))

simplify107.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	404	4811
1	989	4668
2	2891	4583
3	5001	4573

prune443.0ms

Filtered

177 candidates to 93 candidates (52.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	177	5	182

Merged error: 0.0b

Counts

182 → 5

regimes66.0ms

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	3
1	10	3

end0.0ms

sample491.0ms

Algorithm

intervals

Results

240.0ms	9660×	body	80	valid
20.0ms	230×	body	640	valid
12.0ms	141×	body	320	valid
10.0ms	87×	body	1280	valid
4.0ms	87×	body	160	valid