Details

analyze1.4s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 8.36401%

Guaranteed chance to sample good point: 53.666157%

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	53×	body	80	invalid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	45	4
3	84	4
4	125	4
5	149	4
6	170	4
7	284	4
8	491	4
9	824	4
10	1344	4
11	2128	4
12	3385	4
13	5002	4

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: 7.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
7.7b	(/ (* y (- z x)) t)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

5.0ms	(+ x (/ (* y (- z x)) t))
6.0ms	(* y (- z x))
7.0ms	(/ (* y (- z x)) t)

series30.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ x (/ (* y (- z x)) t))
7.0ms	(* y (- z x))
12.0ms	(/ (* y (- z x)) t)

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	290	325
1	1223	280
2	5001	280

prune85.0ms

Filtered

45 candidates to 70 candidates (-55.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	7	71

Merged error: 0b

Counts

71 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
5.4b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
21.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt t)
23.0ms	(cbrt t)
26.0ms	(cbrt t)
19.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	500	954
1	2500	845
2	5001	783

prune112.0ms

Filtered

84 candidates to 116 candidates (-38.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	116	7	123

Merged error: 0b

Counts

123 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ t (* y (- z x)))))
0.0b	(* y (- z x))
0.7b	(/ 1 (/ t (* y (- z x))))
7.7b	(/ t (* y (- z x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-exp-log`
31×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-inv`
6×	`flip3--` `flip--` `associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

11.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
8.0ms	(* y (- z x))
8.0ms	(/ 1 (/ t (* y (- z x))))
6.0ms	(/ t (* y (- z x)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
7.0ms	(* y (- z x))
12.0ms	(/ 1 (/ t (* y (- z x))))
10.0ms	(/ t (* y (- z x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	447	814
1	2087	667
2	5001	650

prune99.0ms

Filtered

73 candidates to 138 candidates (-89.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	140	5	145

Merged error: 0b

Counts

145 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ t y) (- z x))))
0.7b	(/ 1 (/ (/ t y) (- z x)))
7.1b	(/ (/ t y) (- z x))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

772×	`times-frac`
462×	`*-un-lft-identity`
459×	`add-sqr-sqrt`
327×	`add-cube-cbrt`
76×	`associate-/r*`
66×	`distribute-lft-out--` `difference-of-squares`
33×	`div-inv`
29×	`add-exp-log`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
11×	`associate-/r/`
9×	`cbrt-undiv`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

3 → 425

Calls

3 calls:

53.0ms	(+ x (/ 1 (/ (/ t y) (- z x))))
22.0ms	(/ 1 (/ (/ t y) (- z x)))
9.0ms	(/ (/ t y) (- z x))

series35.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ x (/ 1 (/ (/ t y) (- z x))))
13.0ms	(/ 1 (/ (/ t y) (- z x)))
11.0ms	(/ (/ t y) (- z x))

simplify79.0ms

Algorithm

egg-herbie

Counts

434 → 434

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1412	4507
1	5001	3661

prune213.0ms

Filtered

203 candidates to 434 candidates (-113.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	434	0	434
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	434	5	439

Merged error: 0b

Counts

439 → 5

regimes343.0ms

Accuracy

64.3% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	20
1	25	20

end0.0ms

analyze1.4s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 8.36401%

Guaranteed chance to sample good point: 53.666157%

sample604.0ms

Algorithm

intervals

Results

267.0ms	8000×	body	80	valid
62.0ms	1837×	body	80	invalid

Details

analyze1.4s

sample23.0ms

simplify102.0ms

prune8.0ms

localize7.0ms

rewrite20.0ms

series30.0ms

simplify38.0ms

prune85.0ms

localize11.0ms

rewrite29.0ms

series91.0ms

simplify60.0ms

prune112.0ms

localize8.0ms

rewrite38.0ms

series41.0ms

simplify52.0ms

prune99.0ms

localize9.0ms

rewrite116.0ms

series35.0ms

simplify79.0ms

prune213.0ms

regimes343.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

analyze1.4s

sample604.0ms

Profiling