Details

sample2.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 1.306152%

Guaranteed chance to sample good point: 47.229437%

Results

10.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify43.0ms

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

prune5.0ms

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: 9.8b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
10.2b	(/ (* 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:

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

series52.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (/ (* y (- z t)) (- a t)))
11.0ms	(* y (- z 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

prune102.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
1.2b	(/ 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:

27.0ms	(+ x (/ y (/ (- a t) (- z t))))
8.0ms	(/ (- a t) (- z t))
12.0ms	(/ y (/ (- a t) (- z t)))

series67.0ms

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

prune186.0ms

Filtered

144 candidates to 215 candidates (-49.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	216	5	221

Merged error: 0b

Counts

221 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.4b	(* y (/ (- z t) (- a t)))

rewrite29.0ms

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))
14.0ms	(* y (/ (- z t) (- a t)))

series53.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (* y (/ (- z t) (- a t))))
12.0ms	(/ (- z t) (- a t))
16.0ms	(* y (/ (- z t) (- a t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

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

prune103.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.2b	(* (- z t) (/ 1 (- a t)))
1.4b	(* y (* (- z t) (/ 1 (- a t))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

5.0ms	(/ 1 (- a t))
3.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
13.0ms	(* (- z t) (/ 1 (- a t)))
12.0ms	(* y (* (- z t) (/ 1 (- a t))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (- a t))
25.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
11.0ms	(* (- z t) (/ 1 (- a t)))
15.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify53.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	453	786
1	2003	677
2	5001	632

prune110.0ms

Filtered

85 candidates to 142 candidates (-67.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	142	5	147

Merged error: 0b

Counts

147 → 5

regimes544.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample3.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 1.306152%

Guaranteed chance to sample good point: 47.229437%

Results

348.0ms	7998×	body	80	valid
28.0ms	695×	body	80	invalid
0.0ms	1×	body	640	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

sample2.6s

simplify43.0ms

prune5.0ms

localize9.0ms

rewrite24.0ms

series52.0ms

simplify42.0ms

prune102.0ms

localize8.0ms

rewrite61.0ms

series67.0ms

simplify81.0ms

prune186.0ms

localize9.0ms

rewrite29.0ms

series53.0ms

simplify48.0ms

prune103.0ms

localize10.0ms

rewrite38.0ms

series56.0ms

simplify53.0ms

prune110.0ms

regimes544.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.7s

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