Details

sample1.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 10.443115%

Guaranteed chance to sample good point: 63.316977%

Results

12.0ms	256×	body	80	valid
2.0ms	67×	body	80	invalid

simplify107.0ms

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

prune3.0ms

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: 3.6b

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))
3.8b	(/ (* y (- z x)) t)

rewrite18.0ms

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:

4.0ms	(+ x (/ (* y (- z x)) t))
6.0ms	(* y (- z x))
6.0ms	(/ (* y (- z x)) t)

series29.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify40.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

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

prune83.0ms

Filtered

45 candidates to 70 candidates (-55.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	6	71

Merged error: 0b

Counts

71 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
5.0b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite25.0ms

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)
18.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt t)
21.0ms	(cbrt t)
21.0ms	(cbrt t)
20.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify61.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (51.0ms)

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

prune107.0ms

Filtered

85 candidates to 116 candidates (-36.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	116	6	122

Merged error: 0b

Counts

122 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ t (* y (- z x)))))
0.0b	(* y (- z x))
0.4b	(/ 1 (/ t (* y (- z x))))
3.8b	(/ t (* y (- z x)))

rewrite36.0ms

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:

10.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
6.0ms	(* y (- z x))
8.0ms	(/ 1 (/ t (* y (- z x))))
8.0ms	(/ t (* y (- z x)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify58.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (44.0ms)

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

prune97.0ms

Filtered

74 candidates to 138 candidates (-86.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	138	6	144

Merged error: 0b

Counts

144 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* y (- z x)) (/ 1 t)))
0.0b	(* y (- z x))
3.9b	(* (* y (- z x)) (/ 1 t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
18×	`associate-r`
17×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
13×	`prod-exp`
12×	`add-cube-cbrt`
10×	`pow1`
9×	`times-frac`
7×	`associate-*r/` `cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `rec-exp` `distribute-lft-in` `1-exp` `associate-l/` `-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `un-div-inv` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 79

Calls

3 calls:

5.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
6.0ms	(* y (- z x))
10.0ms	(* (* y (- z x)) (/ 1 t))

series29.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify56.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	417	472
1	2153	394
2	5002	380

prune66.0ms

Filtered

53 candidates to 88 candidates (-66.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	88	6	94

Merged error: 0b

Counts

94 → 6

regimes269.0ms

Accuracy

42% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.2b

bsearch52.0ms

Steps

Iters	Range		Point
10	1.0685936503121451e-119	1.3695853968057354e-105	1.3496385746530915e-105
8	-2.425427277851867e+85	-1.4692651008958245e+82	-1.48501203636145e+82

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	18
1	32	18

end0.0ms

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 10.443115%

Guaranteed chance to sample good point: 63.316977%

Results

263.0ms	8000×	body	80	valid
88.0ms	2413×	body	80	invalid

Details

sample1.4s

simplify107.0ms

prune3.0ms

localize7.0ms

rewrite18.0ms

series29.0ms

simplify40.0ms

prune83.0ms

localize10.0ms

rewrite25.0ms

series83.0ms

simplify61.0ms

prune107.0ms

localize8.0ms

rewrite36.0ms

series40.0ms

simplify58.0ms

prune97.0ms

localize8.0ms

rewrite23.0ms

series29.0ms

simplify56.0ms

prune66.0ms

regimes269.0ms

bsearch52.0ms

simplify2.0ms

end0.0ms

sample2.1s

Profiling