Details

sample887.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 74.946211%

Results

10.0ms	255×	body	80	valid
2.0ms	14×	body	1280	valid
2.0ms	14×	body	320	valid
1.0ms	8×	body	640	valid
1.0ms	12×	body	160	valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	111	6
3	288	6
4	714	6
5	1493	6
6	3393	6
7	5002	6

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: 24.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
3.3b	(+ x (/ (* (- y x) (- z t)) (- a t)))
18.0b	(/ (* (- y x) (- z t)) (- a t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-l/` `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`
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 → 81

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
7.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms	(/ (* (- y x) (- z t)) (- a t))

series101.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(* (- y x) (- z t))
54.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
37.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify52.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	468	583
1	2162	534
2	5003	534

prune143.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	81	9	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	10	91

Merged error: 4.8b

Counts

91 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.3b	(/ (- y x) (/ (- a t) (- z t)))
3.3b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

8.0ms	(/ (- a t) (- z t))
16.0ms	(/ (- y x) (/ (- a t) (- z t)))
43.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series108.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/ (- a t) (- z t))
47.0ms	(/ (- y x) (/ (- a t) (- z t)))
51.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify102.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	1030	3053
1	4263	2984
2	5001	2984

prune241.0ms

Filtered

172 candidates to 283 candidates (-64.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	275	8	283
Fresh	6	2	8
Picked	0	1	1
Done	0	1	1
Total	281	12	293

Merged error: 4.6b

Counts

293 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))
0.6b	(* (/ (cbrt (- y x)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t))))
10.1b	(+ x (* (/ (cbrt (- y x)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))))

rewrite729.0ms

Algorithm

rewrite-expression-head

Rules

1732×	`times-frac`
1452×	`add-sqr-sqrt`
1242×	`*-un-lft-identity`
1075×	`cbrt-prod`
568×	`add-cube-cbrt`
373×	`associate-r`
337×	`distribute-lft-out--` `difference-of-squares`
117×	`associate-l`
63×	`add-exp-log`
53×	`associate-/r/`
49×	`unswap-sqr`
46×	`associate-/r*`
30×	`cbrt-undiv` `div-exp`
28×	`div-inv`
27×	`flip3--` `add-cbrt-cube` `flip--`
20×	`cbrt-div`
15×	`prod-exp` `cbrt-unprod`
8×	`associate-/l*`
6×	`pow1` `add-log-exp`
2×	`associate-/l/`
1×	`+-commutative` `frac-times` `frac-2neg` `flip3-+` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `*-commutative` `flip-+`

Counts

4 → 1040

Calls

4 calls:

3.0ms	(cbrt (- a t))
23.0ms	(/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))
561.0ms	(* (/ (cbrt (- y x)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t))))
3.0ms	(+ x (* (/ (cbrt (- y x)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))))

series205.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- a t))
64.0ms	(/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))
45.0ms	(* (/ (cbrt (- y x)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t))))
68.0ms	(+ x (* (/ (cbrt (- y x)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ (cbrt (- a t)) (- z t)))))

simplify231.0ms

Algorithm

egg-herbie

Counts

1052 → 1052

Iterations

Useful iterations: 1 (61.0ms)

Iter	Nodes	Cost
0	3473	21187
1	5002	20894

prune934.0ms

Filtered

708 candidates to 1052 candidates (-48.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1049	3	1052
Fresh	1	8	9
Picked	1	0	1
Done	0	2	2
Total	1051	13	1064

Merged error: 4.6b

Counts

1064 → 13

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
2.3b	(/ (- y x) (* (/ 1 (* (cbrt (- z t)) (cbrt (- z t)))) (/ (- a t) (cbrt (- z t)))))
7.9b	(+ x (/ (- y x) (* (/ 1 (* (cbrt (- z t)) (cbrt (- z t)))) (/ (- a t) (cbrt (- z t))))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-exp-log`
30×	`div-exp`
26×	`add-cbrt-cube`
20×	`prod-exp`
18×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`cbrt-undiv`
10×	`cbrt-prod`
8×	`add-cube-cbrt` `cbrt-unprod`
6×	`add-log-exp`
5×	`times-frac` `associate-/l*`
4×	`pow1` `rec-exp` `cbrt-div` `1-exp` `distribute-lft-out--` `difference-of-squares`
3×	`flip3--` `associate-/r/` `flip--`
2×	`pow1/3` `div-sub` `associate-/l/`
1×	`+-commutative` `frac-times` `associate-+r-` `frac-2neg` `flip3-+` `associate-r/` `associate-l/` `clear-num` `associate-/r*` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 92

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
28.0ms	(/ (- y x) (* (/ 1 (* (cbrt (- z t)) (cbrt (- z t)))) (/ (- a t) (cbrt (- z t)))))
7.0ms	(+ x (/ (- y x) (* (/ 1 (* (cbrt (- z t)) (cbrt (- z t)))) (/ (- a t) (cbrt (- z t))))))

series153.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (- z t))
28.0ms	(cbrt (- z t))
35.0ms	(/ (- y x) (* (/ 1 (* (cbrt (- z t)) (cbrt (- z t)))) (/ (- a t) (cbrt (- z t)))))
58.0ms	(+ x (/ (- y x) (* (/ 1 (* (cbrt (- z t)) (cbrt (- z t)))) (/ (- a t) (cbrt (- z t))))))

simplify73.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	680	1326
1	2668	1121
2	5002	1006

prune105.0ms

Filtered

67 candidates to 104 candidates (-55.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	10	10
Picked	1	0	1
Done	0	2	2
Total	104	13	117

Merged error: 4.6b

Counts

117 → 13

regimes679.0ms

Accuracy

41% (4.5b remaining)

Error of 8.4b against oracle of 3.8b and baseline of 11.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	24
1	35	24

end0.0ms

sample1.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 74.946211%

Results

321.0ms	7796×	body	80	valid
75.0ms	503×	body	640	valid
53.0ms	291×	body	1280	valid
39.0ms	355×	body	320	valid
21.0ms	255×	body	160	valid
3.0ms	13×	body	2560	valid

Details

sample887.0ms

simplify63.0ms

prune4.0ms

localize9.0ms

rewrite31.0ms

series101.0ms

simplify52.0ms

prune143.0ms

localize9.0ms

rewrite86.0ms

series108.0ms

simplify102.0ms

prune241.0ms

localize21.0ms

rewrite729.0ms

series205.0ms

simplify231.0ms

prune934.0ms

localize19.0ms

rewrite44.0ms

series153.0ms

simplify73.0ms

prune105.0ms

regimes679.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling