Details

analyze1.2s

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

sample93.0ms

Algorithm

intervals

Results

25.0ms	40×	body	1280	valid
21.0ms	56×	body	640	valid
9.0ms	114×	body	80	valid
6.0ms	47×	body	80	nan
6.0ms	27×	body	320	valid
5.0ms	3×	body	2560	valid
2.0ms	16×	body	160	valid
2.0ms	7×	body	640	nan
2.0ms	9×	body	320	nan
1.0ms	21×	body	80	overflowed
1.0ms	2×	body	1280	nan
0.0ms	4×	body	160	nan
0.0ms	1×	body	80	invalid

simplify244.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (242.0ms)

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: 14.4b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
1.9b	(log (+ 1.0 (- (* y (exp z)) y)))
2.9b	(- (* y (exp z)) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

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

series70.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
40.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
14.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
10.0ms	(- (* y (exp z)) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5135	1208

prune179.0ms

Filtered

69 candidates to 89 candidates (-29.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	80	9	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	9	90

Merged error: 4.3b

Counts

90 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.6b	(log (+ 1.0 (- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)))
25.3b	(- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(log (+ 1.0 (- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)))
12.0ms	(- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)

series79.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
26.0ms	(cbrt y)
18.0ms	(log (+ 1.0 (- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)))
11.0ms	(- (* (* (cbrt y) (cbrt y)) (* (exp z) (cbrt y))) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4934	527
1	4934	527

prune114.0ms

Filtered

46 candidates to 61 candidates (-32.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	61	9	70

Merged error: 4.3b

Counts

70 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ z (/ t z))
4.0b	(* y (/ z t))
4.7b	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
5.5b	(* y (/ z (/ t z)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

154×	`times-frac`
104×	`add-sqr-sqrt`
90×	`add-cube-cbrt` `*-un-lft-identity`
57×	`associate-r`
23×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/r*`
10×	`associate-*r/` `div-inv`
9×	`add-log-exp`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-l`
5×	`prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`frac-add`
3×	`sum-log` `associate-/l*`
2×	`flip3-+` `pow-prod-down` `associate-/r/` `*-commutative` `flip-+`
1×	`+-commutative` `associate-+r+` `frac-2neg` `clear-num`

Counts

4 → 184

Calls

4 calls:

6.0ms	(/ z (/ t z))
6.0ms	(* y (/ z t))
14.0ms	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
14.0ms	(* y (/ z (/ t z)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ z (/ t z))
5.0ms	(* y (/ z t))
22.0ms	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
9.0ms	(* y (/ z (/ t z)))

simplify69.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4964	2144
1	4964	2144

prune297.0ms

Filtered

148 candidates to 196 candidates (-32.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	191	5	196
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	192	13	205

Merged error: 4.3b

Counts

205 → 13

localize25.0ms

Local error

Found 4 expressions with local error:

2.9b	(- (* y (exp z)) y)
2.9b	(- (* y (exp z)) y)
4.1b	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ y 1.0)))))
6.6b	(log (+ (pow (- (* y (exp z)) y) 3) (pow 1.0 3)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`log-prod`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`unpow-prod-down` `log-div` `cube-prod` `add-cbrt-cube`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `rem-log-exp` `log-pow` `flip--` `flip-+`
1×	`sum-cubes`

Counts

4 → 56

Calls

4 calls:

5.0ms	(- (* y (exp z)) y)
5.0ms	(- (* y (exp z)) y)
4.0ms	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ y 1.0)))))
15.0ms	(log (+ (pow (- (* y (exp z)) y) 3) (pow 1.0 3)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (* y (exp z)) y)
8.0ms	(- (* y (exp z)) y)
64.0ms	(log (+ (* 1.0 1.0) (* (- (* y (exp z)) y) (- (* y (exp z)) (+ y 1.0)))))
71.0ms	(log (+ (pow (- (* y (exp z)) y) 3) (pow 1.0 3)))

simplify30.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	4989	1369
1	4989	1369

prune157.0ms

Filtered

53 candidates to 68 candidates (-28.3%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	66	15	81

Merged error: 4.3b

Counts

81 → 15

regimes780.0ms

Accuracy

69.6% (4.9b remaining)

Error of 8.7b against oracle of 3.8b and baseline of 20.0b

bsearch121.0ms

Steps

Iters	Range		Point
7	8.543540045122376e-35	3.0588789923411968e-33	2.7409562386081176e-34
5	1.3317907892303622e-122	3.305467385666733e-122	3.2576196395106886e-122
8	-9.184455842412649e+17	-289741123152241.7	-296098434438560.6

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	269	117
1	269	117

end0.0ms

sample2.7s

Algorithm

intervals

Results

885.0ms	1460×	body	1280	valid
579.0ms	1610×	body	640	valid
268.0ms	3470×	body	80	valid
210.0ms	900×	body	320	valid
117.0ms	88×	body	2560	valid
75.0ms	1487×	body	80	nan
71.0ms	472×	body	160	valid
65.0ms	253×	body	640	nan
48.0ms	846×	body	80	overflowed
38.0ms	107×	body	1280	nan
37.0ms	209×	body	320	nan
14.0ms	125×	body	160	nan
1.0ms	18×	body	80	invalid
0.0ms	1×	body	1280	invalid

Details

analyze1.2s

sample93.0ms

simplify244.0ms

prune10.0ms

localize10.0ms

rewrite26.0ms

series70.0ms

simplify52.0ms

prune179.0ms

localize18.0ms

rewrite27.0ms

series79.0ms

simplify53.0ms

prune114.0ms

localize16.0ms

rewrite51.0ms

series40.0ms

simplify69.0ms

prune297.0ms

localize25.0ms

rewrite30.0ms

series150.0ms

simplify30.0ms

prune157.0ms

regimes780.0ms

bsearch121.0ms

simplify4.0ms

end0.0ms

sample2.7s

Profiling