Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

sample210.0ms

Algorithm

intervals

Results

27.0ms	45×	body	1280	valid
15.0ms	48×	body	640	valid
7.0ms	110×	body	80	valid
5.0ms	4×	body	2560	valid
5.0ms	25×	body	320	valid
3.0ms	24×	body	160	valid

simplify224.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (222.0ms)

Iter	Nodes	Cost
0	3730	13
1	3730	13

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 13.8b

Counts

2 → 1

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (log (+ 1.0 (- (* y (exp z)) y))) t))
4.5b	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
28.2b	(- (* y (exp z)) y)
34.9b	(log (+ 1.0 (- (* y (exp z)) y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`times-frac`
9×	`pow1`
8×	`add-log-exp`
7×	`add-exp-log`
6×	`log-div` `add-cbrt-cube`
5×	`log-pow`
4×	`log-prod` `div-sub` `associate-/l*`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `associate--r-` `difference-of-squares`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 75

Calls

4 calls:

7.0ms	(- x (/ (log (+ 1.0 (- (* y (exp z)) y))) t))
8.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
5.0ms	(- (* y (exp z)) y)
6.0ms	(log (+ 1.0 (- (* y (exp z)) y)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- x (/ (log (+ 1.0 (- (* y (exp z)) y))) t))
39.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
7.0ms	(- (* y (exp z)) y)
13.0ms	(log (+ 1.0 (- (* y (exp z)) y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4961	1446
1	4961	1446

prune181.0ms

Filtered

68 candidates to 87 candidates (-27.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	78	9	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	9	88

Merged error: 3.4b

Counts

88 → 9

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (log (+ 1.0 (- (* y (exp z)) y))) (/ 1 t)))
4.6b	(* (log (+ 1.0 (- (* y (exp z)) y))) (/ 1 t))
28.2b	(- (* y (exp z)) y)
34.9b	(log (+ 1.0 (- (* y (exp z)) y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-exp-log`
13×	`add-cube-cbrt` `associate-r`
11×	`times-frac`
9×	`add-cbrt-cube`
8×	`pow1` `add-log-exp`
4×	`log-prod` `associate-l` `prod-exp`
3×	`unswap-sqr`
2×	`sub-neg` `log-div` `flip3--` `diff-log` `div-exp` `log-pow` `flip--` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `associate-r/` `rem-log-exp` `pow-prod-down` `un-div-inv` `-commutative` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 74

Calls

4 calls:

3.0ms	(- x (* (log (+ 1.0 (- (* y (exp z)) y))) (/ 1 t)))
7.0ms	(* (log (+ 1.0 (- (* y (exp z)) y))) (/ 1 t))
5.0ms	(- (* y (exp z)) y)
6.0ms	(log (+ 1.0 (- (* y (exp z)) y)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- x (* (log (+ 1.0 (- (* y (exp z)) y))) (/ 1 t)))
40.0ms	(* (log (+ 1.0 (- (* y (exp z)) y))) (/ 1 t))
7.0ms	(- (* y (exp z)) y)
13.0ms	(log (+ 1.0 (- (* y (exp z)) y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5172	1255

prune149.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	84	11	95

Merged error: 3.4b

Counts

95 → 11

localize44.0ms

Local error

Found 4 expressions with local error:

28.2b	(- (* y (exp z)) y)
28.2b	(- (* y (exp z)) y)
35.0b	(log (cbrt (+ 1.0 (- (* y (exp z)) y))))
35.0b	(log (cbrt (+ 1.0 (- (* y (exp z)) y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`log-prod`
12×	`*-un-lft-identity`
8×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
6×	`pow1` `add-exp-log`
4×	`log-div` `cbrt-div` `log-pow` `add-cbrt-cube`
2×	`sub-neg` `flip3--` `flip3-+` `pow1/3` `diff-log` `rem-log-exp` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 60

Calls

4 calls:

7.0ms	(- (* y (exp z)) y)
5.0ms	(- (* y (exp z)) y)
7.0ms	(log (cbrt (+ 1.0 (- (* y (exp z)) y))))
7.0ms	(log (cbrt (+ 1.0 (- (* y (exp z)) y))))

series71.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (* y (exp z)) y)
7.0ms	(- (* y (exp z)) y)
28.0ms	(log (cbrt (+ 1.0 (- (* y (exp z)) y))))
29.0ms	(log (cbrt (+ 1.0 (- (* y (exp z)) y))))

simplify50.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5065	1026

prune190.0ms

Filtered

58 candidates to 72 candidates (-24.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	71	12	83

Merged error: 3.4b

Counts

83 → 12

localize52.0ms

Local error

Found 4 expressions with local error:

2.3b	(/ (exp (log (log (+ 1.0 (- (* y (exp z)) y))))) t)
11.0b	(log (log (+ 1.0 (- (* y (exp z)) y))))
28.2b	(- (* y (exp z)) y)
34.9b	(log (+ 1.0 (- (* y (exp z)) y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod` `*-un-lft-identity`
22×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`times-frac`
16×	`exp-sum`
11×	`pow1`
7×	`add-exp-log` `log-pow` `associate-/l*`
6×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`log-div` `rem-log-exp`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 82

Calls

4 calls:

7.0ms	(/ (exp (log (log (+ 1.0 (- (* y (exp z)) y))))) t)
1.0ms	(log (log (+ 1.0 (- (* y (exp z)) y))))
5.0ms	(- (* y (exp z)) y)
6.0ms	(log (+ 1.0 (- (* y (exp z)) y)))

series99.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (exp (log (log (+ 1.0 (- (* y (exp z)) y))))) t)
40.0ms	(log (log (+ 1.0 (- (* y (exp z)) y))))
7.0ms	(- (* y (exp z)) y)
13.0ms	(log (+ 1.0 (- (* y (exp z)) y)))

simplify30.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5432	1575

prune141.0ms

Filtered

67 candidates to 94 candidates (-40.3%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	91	3	94
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	91	15	106

Merged error: 3.4b

Counts

106 → 15

regimes732.0ms

Accuracy

61.1% (4.3b remaining)

Error of 8.3b against oracle of 4.0b and baseline of 15.0b

bsearch154.0ms

Steps

Iters	Range		Point
7	5.604976575410514e-86	5.906793529453594e-84	4.0973833117696044e-84
9	-0.0006741312197361856	-3.0761127972557425e-10	-1.1970149978622335e-08

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	230	59
1	230	59

end0.0ms

sample6.8s

Algorithm

intervals

Results

837.0ms	1440×	body	1280	valid
527.0ms	1577×	body	640	valid
232.0ms	3456×	body	80	valid
205.0ms	950×	body	320	valid
125.0ms	97×	body	2560	valid
62.0ms	480×	body	160	valid

Details

analyze1.1s

sample210.0ms

simplify224.0ms

prune10.0ms

localize41.0ms

rewrite27.0ms

series82.0ms

simplify55.0ms

prune181.0ms

localize42.0ms

rewrite22.0ms

series83.0ms

simplify55.0ms

prune149.0ms

localize44.0ms

rewrite26.0ms

series71.0ms

simplify50.0ms

prune190.0ms

localize52.0ms

rewrite21.0ms

series99.0ms

simplify30.0ms

prune141.0ms

regimes732.0ms

bsearch154.0ms

simplify3.0ms

end0.0ms

sample6.8s

Profiling