Details

analyze830.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

sample108.0ms

Algorithm

intervals

Results

28.0ms	358×	body	80	nan
19.0ms	238×	body	80	valid
15.0ms	154×	body	80	invalid
3.0ms	7×	body	640	valid
2.0ms	9×	body	320	invalid
1.0ms	9×	body	160	invalid
1.0ms	2×	body	1280	invalid
1.0ms	4×	body	320	valid
1.0ms	6×	body	160	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5792	17

prune17.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
0.0b	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
0.1b	(* y (- (log z) t))
6.5b	(log (- 1.0 z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

11.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
11.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
7.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

series130.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* x (exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b)))))
48.0ms	(exp (+ (* y (- (log z) t)) (* a (- (log (- 1.0 z)) b))))
14.0ms	(* y (- (log z) t))
3.0ms	(log (- 1.0 z))

simplify57.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4961	1092
1	4961	1092

prune143.0ms

Filtered

67 candidates to 91 candidates (-35.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	89	4	93

Merged error: 0.0b

Counts

93 → 4

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (- (log z) t))
0.5b	(pow (/ z (exp t)) y)
1.5b	(pow (/ (- 1.0 z) (exp b)) a)
6.5b	(log (- 1.0 z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`unpow-prod-down`
27×	`add-cube-cbrt`
24×	`times-frac`
11×	`add-exp-log` `log-prod`
10×	`pow1`
6×	`pow-unpow` `associate-r` `associate--l+` `add-cbrt-cube` `distribute-lft-out--`
5×	`difference-of-squares`
4×	`distribute-rgt-in` `distribute-lft-in` `pow-exp` `add-log-exp`
3×	`associate-l`
2×	`pow-to-exp` `sub-neg` `log-div` `flip3--` `pow-pow` `associate-*r/` `div-exp` `log-pow` `flip--` `div-inv` `sqr-pow`
1×	`rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

9.0ms	(* y (- (log z) t))
5.0ms	(pow (/ z (exp t)) y)
7.0ms	(pow (/ (- 1.0 z) (exp b)) a)
3.0ms	(log (- 1.0 z))

series73.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* y (- (log z) t))
21.0ms	(pow (/ z (exp t)) y)
36.0ms	(pow (/ (- 1.0 z) (exp b)) a)
3.0ms	(log (- 1.0 z))

simplify68.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4944	1297
1	4944	1297

prune265.0ms

Filtered

88 candidates to 121 candidates (-37.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	121	4	125

Merged error: 0.0b

Counts

125 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (/ z (exp t)) y) (exp (* (- (log (- 1.0 z)) b) a)))
0.5b	(pow (/ z (exp t)) y)
6.5b	(log (- 1.0 z))
6.5b	(log (- 1.0 z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
28×	`unpow-prod-down`
27×	`*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`times-frac`
17×	`associate-l`
11×	`add-exp-log`
10×	`log-prod`
7×	`pow1`
6×	`add-cbrt-cube`
4×	`log-div` `pow-exp` `prod-exp` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `associate-r` `sqr-pow`
2×	`pow-to-exp` `flip3--` `div-exp` `rem-log-exp` `log-pow` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`pow-pow` `*-commutative` `cbrt-unprod`

Counts

4 → 97

Calls

4 calls:

11.0ms	(* (pow (/ z (exp t)) y) (exp (* (- (log (- 1.0 z)) b) a)))
5.0ms	(pow (/ z (exp t)) y)
3.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))

series145.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (pow (/ z (exp t)) y) (exp (* (- (log (- 1.0 z)) b) a)))
22.0ms	(pow (/ z (exp t)) y)
3.0ms	(log (- 1.0 z))
3.0ms	(log (- 1.0 z))

simplify64.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4956	1373
1	4956	1373

prune266.0ms

Filtered

87 candidates to 109 candidates (-25.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Merged error: 0.0b

Counts

113 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (* (pow (/ z (exp t)) y) (pow (/ (- 1.0 z) (exp b)) a)))
0.0b	(/ (- 1.0 z) (exp b))
0.5b	(pow (/ z (exp t)) y)
1.5b	(pow (/ (- 1.0 z) (exp b)) a)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
47×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`times-frac`
33×	`add-cube-cbrt` `prod-exp`
32×	`unpow-prod-down`
20×	`pow-exp`
11×	`div-exp` `add-cbrt-cube`
10×	`pow-to-exp`
8×	`pow1`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow-unpow`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`associate-l` `associate-/r*` `cbrt-unprod` `div-inv`
2×	`pow-pow` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `associate-r` `pow-prod-down` `clear-num` `*-commutative` `flip--`

Counts

4 → 132

Calls

4 calls:

14.0ms	(* x (* (pow (/ z (exp t)) y) (pow (/ (- 1.0 z) (exp b)) a)))
6.0ms	(/ (- 1.0 z) (exp b))
5.0ms	(pow (/ z (exp t)) y)
10.0ms	(pow (/ (- 1.0 z) (exp b)) a)

series153.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* x (* (pow (/ z (exp t)) y) (pow (/ (- 1.0 z) (exp b)) a)))
7.0ms	(/ (- 1.0 z) (exp b))
24.0ms	(pow (/ z (exp t)) y)
35.0ms	(pow (/ (- 1.0 z) (exp b)) a)

simplify57.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5046	1878

prune161.0ms

Filtered

96 candidates to 144 candidates (-50.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	144	4	148

Merged error: 0.0b

Counts

148 → 4

regimes727.0ms

Accuracy

0% (0.3b remaining)

Error of 1.9b against oracle of 1.7b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms

analyze804.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

sample3.0s

Algorithm

intervals

Results

839.0ms	10536×	body	80	nan
594.0ms	7250×	body	80	valid
410.0ms	5160×	body	80	invalid
113.0ms	268×	body	640	valid
72.0ms	271×	body	320	valid
44.0ms	103×	body	640	invalid
39.0ms	48×	body	1280	valid
37.0ms	143×	body	320	invalid
29.0ms	163×	body	160	valid
18.0ms	109×	body	160	invalid
16.0ms	22×	body	1280	invalid

Details

analyze830.0ms

sample108.0ms

simplify41.0ms

prune17.0ms

localize16.0ms

rewrite35.0ms

series130.0ms

simplify57.0ms

prune143.0ms

localize28.0ms

rewrite29.0ms

series73.0ms

simplify68.0ms

prune265.0ms

localize30.0ms

rewrite26.0ms

series145.0ms

simplify64.0ms

prune266.0ms

localize15.0ms

rewrite41.0ms

series153.0ms

simplify57.0ms

prune161.0ms

regimes727.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze804.0ms

sample3.0s

Profiling