Details

sample1.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 68.75%

Guaranteed chance to sample good point: 34.453125%

Results

11.0ms	174×	body	80	valid
10.0ms	15×	body	1280	valid
8.0ms	23×	body	640	valid
6.0ms	28×	body	320	valid
5.0ms	78×	body	80	nan
2.0ms	16×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	30	7
2	39	7
3	45	7
4	60	7
5	88	7
6	125	7
7	176	7
8	208	7
9	225	7
10	293	7
11	293	7

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: 9.0b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
6.0b	(log (- 1.0 y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 86

Calls

4 calls:

6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series36.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify44.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	458	643
1	1650	563
2	5002	529

prune159.0ms

Filtered

66 candidates to 98 candidates (-48.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	92	6	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	6	99

Merged error: 0.1b

Counts

99 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.0b	(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
0.3b	(* x (log y))
7.4b	(* z (pow y 2))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`add-log-exp`
13×	`*-un-lft-identity`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`log-prod` `diff-log` `associate-l`
5×	`sum-log` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`+-commutative` `associate--l-` `pow-to-exp` `associate-+r-` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `pow-exp` `associate--l+` `log-pow` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 82

Calls

4 calls:

5.0ms	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
11.0ms	(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
4.0ms	(* x (log y))
7.0ms	(* z (pow y 2))

series69.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
37.0ms	(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
7.0ms	(* x (log y))
7.0ms	(* z (pow y 2))

simplify55.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	433	822
1	1787	733
2	5002	704

prune255.0ms

Filtered

61 candidates to 94 candidates (-54.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	88	6	94
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	90	10	100

Merged error: 0.1b

Counts

100 → 10

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t))
7.4b	(* z (pow y 2))
7.4b	(* z (pow y 2))
7.4b	(* z (pow y 2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`associate-r`
19×	`add-exp-log`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`unpow-prod-down` `unswap-sqr`
10×	`add-cbrt-cube`
9×	`associate-l` `prod-exp`
6×	`unpow2` `sqr-pow`
5×	`cbrt-prod`
4×	`pow1` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
2×	`cbrt-div`
1×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

10.0ms	(cbrt (- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t))
6.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))

series271.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt (- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t))
6.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))
7.0ms	(* z (pow y 2))

simplify43.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	324	803
1	1112	723
2	5002	706

prune524.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	105	13	118

Merged error: 0.1b

Counts

118 → 13

localize33.0ms

Local error

Found 4 expressions with local error:

7.4b	(* z (pow y 2))
7.4b	(* z (pow y 2))
7.4b	(* z (pow y 2))
7.4b	(* z (pow y 2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
32×	`associate-r`
24×	`add-exp-log`
16×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
12×	`associate-l` `prod-exp` `add-cbrt-cube`
8×	`unpow2` `sqr-pow`
4×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

4 → 108

Calls

4 calls:

6.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))

series26.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))
7.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))

simplify77.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	107	408
1	404	348
2	1988	348
3	5002	344

prune847.0ms

Filtered

72 candidates to 120 candidates (-66.7%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	120	13	133

Merged error: 0.1b

Counts

133 → 13

regimes570.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample3.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 68.75%

Guaranteed chance to sample good point: 34.453125%

Results

371.0ms	5490×	body	80	valid
306.0ms	874×	body	640	valid
264.0ms	406×	body	1280	valid
158.0ms	743×	body	320	valid
138.0ms	1941×	body	80	nan
65.0ms	487×	body	160	valid
2.0ms	33×	body	80	invalid

Details

sample1.6s

simplify20.0ms

prune4.0ms

localize11.0ms

rewrite24.0ms

series36.0ms

simplify44.0ms

prune159.0ms

localize19.0ms

rewrite29.0ms

series69.0ms

simplify55.0ms

prune255.0ms

localize27.0ms

rewrite30.0ms

series271.0ms

simplify43.0ms

prune524.0ms

localize33.0ms

rewrite27.0ms

series26.0ms

simplify77.0ms

prune847.0ms

regimes570.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.3s

Profiling