Details

sample2.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.726318%

Guaranteed chance to sample good point: 33.741162%

Results

14.0ms	254×	body	80	valid
1.0ms	27×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

prune4.0ms

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: 10.4b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
11.6b	(/ (* y (- z t)) (- a t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

6.0ms	(* y (- z t))
7.0ms	(+ x (/ (* y (- z t)) (- a t)))
9.0ms	(/ (* y (- z t)) (- a t))

series53.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z t))
29.0ms	(+ x (/ (* y (- z t)) (- a t)))
17.0ms	(/ (* y (- z t)) (- a t))

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	334	381
1	1437	342
2	5001	342

prune95.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
2.8b	(/ y (/ (- a t) (- z t)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

25.0ms	(+ x (/ y (/ (- a t) (- z t))))
7.0ms	(/ (- a t) (- z t))
12.0ms	(/ y (/ (- a t) (- z t)))

series66.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ x (/ y (/ (- a t) (- z t))))
9.0ms	(/ (- a t) (- z t))
25.0ms	(/ y (/ (- a t) (- z t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	697	1888
1	3051	1835
2	5001	1832

prune179.0ms

Filtered

144 candidates to 215 candidates (-49.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	212	3	215
Fresh	4	1	5
Picked	0	1	1
Done	0	1	1
Total	216	6	222

Merged error: 0b

Counts

222 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.0b	(+ x (* y (/ (- z t) (- a t))))
3.2b	(* y (/ (- z t) (- a t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

8.0ms	(/ (- z t) (- a t))
3.0ms	(+ x (* y (/ (- z t) (- a t))))
13.0ms	(* y (/ (- z t) (- a t)))

series53.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- z t) (- a t))
26.0ms	(+ x (* y (/ (- z t) (- a t))))
18.0ms	(* y (/ (- z t) (- a t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	421	747
1	1657	704
2	5001	704

prune98.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	122	6	128

Merged error: 0b

Counts

128 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(* (cbrt (- z t)) (cbrt (- z t)))
1.4b	(/ y (/ (- a t) (cbrt (- z t))))
5.9b	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

561×	`times-frac`
449×	`add-sqr-sqrt`
438×	`*-un-lft-identity`
240×	`add-cube-cbrt`
209×	`cbrt-prod`
151×	`associate-r`
98×	`distribute-lft-out--`
96×	`difference-of-squares`
52×	`cbrt-div`
46×	`associate-/r*`
32×	`add-exp-log`
26×	`flip3--` `flip--`
21×	`add-cbrt-cube`
20×	`frac-times`
16×	`pow1` `associate-/r/`
14×	`associate-*l/`
10×	`swap-sqr` `prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
8×	`unswap-sqr`
7×	`pow1/3` `associate-*r/`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num`

Counts

4 → 460

Calls

4 calls:

3.0ms	(cbrt (- z t))
10.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
15.0ms	(/ y (/ (- a t) (cbrt (- z t))))
47.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

series115.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- z t))
33.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
41.0ms	(/ y (/ (- a t) (cbrt (- z t))))
16.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

simplify92.0ms

Algorithm

egg-herbie

Counts

472 → 472

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1728	5707
1	5002	5566

prune377.0ms

Filtered

332 candidates to 472 candidates (-42.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	472	0	472
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	472	6	478

Merged error: 0b

Counts

478 → 6

regimes586.0ms

Accuracy

63.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms

sample3.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.726318%

Guaranteed chance to sample good point: 33.741162%

Results

317.0ms	7996×	body	80	valid
30.0ms	688×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5

Details

sample2.9s

simplify45.0ms

prune4.0ms

localize8.0ms

rewrite23.0ms

series53.0ms

simplify40.0ms

prune95.0ms

localize8.0ms

rewrite59.0ms

series66.0ms

simplify81.0ms

prune179.0ms

localize8.0ms

rewrite28.0ms

series53.0ms

simplify46.0ms

prune98.0ms

localize12.0ms

rewrite112.0ms

series115.0ms

simplify92.0ms

prune377.0ms

regimes586.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.6s

Profiling

Iter	Nodes	Cost
0	17	5
1	32	5
2	57	5
3	100	5
4	144	5
5	177	5
6	203	5
7	263	5
8	352	5
9	445	5
10	686	5
11	909	5
12	932	5
13	932	5