Details

analyze899.0ms

Algorithm: search

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	20×	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

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: 11.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
12.0b	(/ (* 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))

series53.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (/ (* y (- z t)) (- a t)))
7.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) (- a t))

simplify42.0ms

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

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: 0b

Counts

77 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

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

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

series72.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ x (/ y (/ (- a t) (- z t))))
10.0ms	(/ (- a t) (- z t))
31.0ms	(/ y (/ (- a t) (- z t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (60.0ms)

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

prune166.0ms

Filtered

144 candidates to 215 candidates (-49.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	217	4	221

Merged error: 0b

Counts

221 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (/ y (- a t)) (/ 1 (- z t))))
0.0b	(/ y (- a t))
0.0b	(/ 1 (- z t))
9.7b	(/ (/ y (- a t)) (/ 1 (- z t)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
702×	`*-un-lft-identity`
700×	`add-sqr-sqrt`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
47×	`div-inv`
46×	`flip3--` `flip--`
32×	`add-exp-log`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `distribute-lft-out` `inv-pow`

Counts

4 → 597

Calls

4 calls:

105.0ms	(+ x (/ (/ y (- a t)) (/ 1 (- z t))))
5.0ms	(/ y (- a t))
5.0ms	(/ 1 (- z t))
23.0ms	(/ (/ y (- a t)) (/ 1 (- z t)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ x (/ (/ y (- a t)) (/ 1 (- z t))))
7.0ms	(/ y (- a t))
4.0ms	(/ 1 (- z t))
26.0ms	(/ (/ y (- a t)) (/ 1 (- z t)))

simplify124.0ms

Algorithm

egg-herbie

Counts

609 → 609

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	2305	7688
1	5002	7134

prune460.0ms

Filtered

311 candidates to 609 candidates (-95.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	609	0	609
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	609	4	613

Merged error: 0b

Counts

613 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x (/ (* y (- z t)) (- a t))))
0.3b	(* (sqrt (+ x (/ (* y (- z t)) (- a t)))) (sqrt (+ x (/ (* y (- z t)) (- a t)))))
12.0b	(/ (* y (- z t)) (- a t))
12.0b	(/ (* y (- z t)) (- a t))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
30×	`sqrt-prod`
20×	`pow1`
17×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
14×	`sqrt-div`
11×	`swap-sqr`
10×	`times-frac` `associate-/r*`
9×	`sqrt-pow1` `pow1/2`
7×	`flip3-+` `associate-r` `associate-l` `flip-+` `distribute-lft-out`
6×	`associate-*r/`
5×	`pow-prod-up`
4×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-/r/` `flip--` `associate-/l/` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
3×	`pow-prod-down` `prod-exp` `pow-sqr` `cbrt-unprod`
2×	`frac-2neg` `associate-l/` `clear-num` `div-inv` `associate-/l`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `*-commutative`

Counts

4 → 136

Calls

4 calls:

7.0ms	(sqrt (+ x (/ (* y (- z t)) (- a t))))
18.0ms	(* (sqrt (+ x (/ (* y (- z t)) (- a t)))) (sqrt (+ x (/ (* y (- z t)) (- a t)))))
9.0ms	(/ (* y (- z t)) (- a t))
9.0ms	(/ (* y (- z t)) (- a t))

series135.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(sqrt (+ x (/ (* y (- z t)) (- a t))))
27.0ms	(* (sqrt (+ x (/ (* y (- z t)) (- a t)))) (sqrt (+ x (/ (* y (- z t)) (- a t)))))
16.0ms	(/ (* y (- z t)) (- a t))
16.0ms	(/ (* y (- z t)) (- a t))

simplify59.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	428	1214
1	1824	1076
2	5002	1049

prune108.0ms

Filtered

88 candidates to 148 candidates (-68.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	148	4	152

Merged error: 0b

Counts

152 → 4

regimes590.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

analyze882.0ms

Algorithm: search

sample594.0ms

Algorithm

intervals

Results

306.0ms	7996×	body	80	valid
27.0ms	768×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	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

analyze899.0ms

sample29.0ms

simplify43.0ms

prune4.0ms

localize8.0ms

rewrite24.0ms

series53.0ms

simplify42.0ms

prune95.0ms

localize10.0ms

rewrite59.0ms

series72.0ms

simplify81.0ms

prune166.0ms

localize9.0ms

rewrite195.0ms

series71.0ms

simplify124.0ms

prune460.0ms

localize11.0ms

rewrite51.0ms

series135.0ms

simplify59.0ms

prune108.0ms

regimes590.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze882.0ms

sample594.0ms

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