Details

analyze2.2s

Algorithm

sampling

Space saved by range analysis: 0.243902%

Space saved by search: 1.120665%

Guaranteed chance to sample good point: 46.163793%

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify44.0ms

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

prune8.0ms

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: 12.1b

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)))
11.9b	(/ (* y (- z t)) (- a t))

rewrite24.0ms

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))

series50.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z t))
27.0ms	(+ x (/ (* y (- z t)) (- a t)))
16.0ms	(/ (* y (- z t)) (- a t))

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (8.0ms)

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

prune85.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	4	77

Merged error: 0.0b

Counts

77 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.0b	(+ x (/ y (/ (- a t) (- z t))))
2.4b	(/ y (/ (- a t) (- z t)))

rewrite61.0ms

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:

8.0ms	(/ (- a t) (- z t))
29.0ms	(+ x (/ y (/ (- a t) (- z t))))
12.0ms	(/ y (/ (- a t) (- z t)))

series71.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (- a t) (- z t))
36.0ms	(+ x (/ y (/ (- a t) (- z t))))
26.0ms	(/ y (/ (- a t) (- z t)))

simplify77.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (56.0ms)

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

prune162.0ms

Filtered

144 candidates to 215 candidates (-49.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	215	4	219

Merged error: 0.0b

Counts

219 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.3b	(* y (/ (- z t) (- a t)))

rewrite31.0ms

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:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
8.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

series52.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (* y (/ (- z t) (- a t))))
9.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

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

prune97.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	122	4	126

Merged error: 0.0b

Counts

126 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
0.0b	(/ (- a t) (- z t))
0.9b	(/ 1 (/ (/ (- a t) (- z t)) y))
2.3b	(/ (/ (- a t) (- z t)) y)

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
797×	`*-un-lft-identity`
794×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 624

Calls

4 calls:

76.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
8.0ms	(/ (- a t) (- z t))
28.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
13.0ms	(/ (/ (- a t) (- z t)) y)

series294.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (/ 1 (/ (/ (- a t) (- z t)) y)))
9.0ms	(/ (- a t) (- z t))
225.0ms	(/ 1 (/ (/ (- a t) (- z t)) y))
17.0ms	(/ (/ (- a t) (- z t)) y)

simplify114.0ms

Algorithm

egg-herbie

Counts

636 → 636

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1824	7507
1	5002	6289

prune292.0ms

Filtered

289 candidates to 636 candidates (-120.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	636	0	636
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	636	4	640

Merged error: 0.0b

Counts

640 → 4

regimes319.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

analyze2.2s

Algorithm

sampling

Space saved by range analysis: 0.243902%

Space saved by search: 1.120665%

Guaranteed chance to sample good point: 46.163793%

sample633.0ms

Algorithm

intervals

Results

306.0ms	7999×	body	80	valid
29.0ms	642×	body	80	invalid
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

analyze2.2s

sample24.0ms

simplify44.0ms

prune8.0ms

localize8.0ms

rewrite24.0ms

series50.0ms

simplify42.0ms

prune85.0ms

localize8.0ms

rewrite61.0ms

series71.0ms

simplify77.0ms

prune162.0ms

localize8.0ms

rewrite31.0ms

series52.0ms

simplify47.0ms

prune97.0ms

localize9.0ms

rewrite179.0ms

series294.0ms

simplify114.0ms

prune292.0ms

regimes319.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.2s

sample633.0ms

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