Details

sample836.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results

10.0ms	282×	body	80	valid
0.0ms	1×	body	1280	valid

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

prune7.0ms

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: 12.9b

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)))
14.3b	(/ (* 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))

series51.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(* y (- z t))
26.0ms	(+ 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 (9.0ms)

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

prune97.0ms

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))
2.7b	(/ 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))
15.0ms	(/ y (/ (- a t) (- z t)))

series69.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ x (/ y (/ (- a t) (- z t))))
9.0ms	(/ (- a t) (- z t))
29.0ms	(/ 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

prune167.0ms

Filtered

144 candidates to 215 candidates (-49.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	216	6	222

Merged error: 0b

Counts

222 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
6.2b	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
50×	`times-frac`
46×	`associate-r`
42×	`cbrt-prod`
28×	`add-cube-cbrt`
25×	`add-exp-log`
20×	`cbrt-div`
18×	`add-cbrt-cube`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 136

Calls

4 calls:

3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
34.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (- a t))
26.0ms	(cbrt (- a t))
25.0ms	(cbrt (- a t))
29.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

simplify78.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	658	1608
1	3132	1455
2	5001	1384

prune151.0ms

Filtered

114 candidates to 148 candidates (-29.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	148	6	154

Merged error: 0b

Counts

154 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

3.0ms	(+ x (* (/ y (- a t)) (- z t)))
5.0ms	(/ y (- a t))
15.0ms	(* (/ y (- a t)) (- z t))

series66.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (* (/ y (- a t)) (- z t)))
7.0ms	(/ y (- a t))
25.0ms	(* (/ y (- a t)) (- z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	408	616
1	1631	576
2	5002	576

prune86.0ms

Filtered

79 candidates to 111 candidates (-40.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	111	6	117

Merged error: 0b

Counts

117 → 6

regimes540.0ms

Accuracy

75.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	18
1	25	18

end0.0ms

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.5%

Results

333.0ms	8742×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	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

sample836.0ms

simplify44.0ms

prune7.0ms

localize8.0ms

rewrite23.0ms

series51.0ms

simplify42.0ms

prune97.0ms

localize8.0ms

rewrite61.0ms

series69.0ms

simplify81.0ms

prune167.0ms

localize15.0ms

rewrite49.0ms

series105.0ms

simplify78.0ms

prune151.0ms

localize9.0ms

rewrite27.0ms

series66.0ms

simplify45.0ms

prune86.0ms

regimes540.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.7s

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