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

sample88.0ms

Algorithm

intervals

Results

23.0ms	39×	body	1280	valid
18.0ms	55×	body	640	valid
8.0ms	38×	body	320	valid
8.0ms	104×	body	80	valid
5.0ms	3×	body	2560	valid
2.0ms	17×	body	160	valid
2.0ms	8×	body	640	nan
2.0ms	44×	body	80	nan
1.0ms	23×	body	80	overflowed
1.0ms	6×	body	320	nan
1.0ms	3×	body	1280	nan
0.0ms	3×	body	160	nan

simplify227.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (226.0ms)

Iter	Nodes	Cost
0	3730	13
1	3730	13

prune13.0ms

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: 13.1b

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)
2.2b	(log (+ 1.0 (- (* y (exp z)) y)))
4.7b	(- (* y (exp z)) y)

rewrite25.0ms

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

series66.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (exp z))
40.0ms	(/ (log (+ 1.0 (- (* y (exp z)) y))) t)
13.0ms	(log (+ 1.0 (- (* y (exp z)) y)))
7.0ms	(- (* y (exp z)) y)

simplify51.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5135	1208

prune154.0ms

Filtered

69 candidates to 89 candidates (-29.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	83	6	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Merged error: 3.0b

Counts

90 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

2.2b	(log (+ 1.0 (* (* (cbrt (- (* y (exp z)) y)) (cbrt (- (* y (exp z)) y))) (cbrt (- (* y (exp z)) y)))))
4.7b	(- (* y (exp z)) y)
4.7b	(- (* y (exp z)) y)
4.7b	(- (* y (exp z)) y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-cbrt-cube`
3×	`sub-neg` `log-prod` `flip3--` `diff-log` `flip--`
2×	`log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`

Counts

4 → 47

Calls

4 calls:

3.0ms	(log (+ 1.0 (* (* (cbrt (- (* y (exp z)) y)) (cbrt (- (* y (exp z)) y))) (cbrt (- (* y (exp z)) y)))))
5.0ms	(- (* y (exp z)) y)
5.0ms	(- (* y (exp z)) y)
5.0ms	(- (* y (exp z)) y)

series36.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(log (+ 1.0 (* (* (cbrt (- (* y (exp z)) y)) (cbrt (- (* y (exp z)) y))) (cbrt (- (* y (exp z)) y)))))
7.0ms	(- (* y (exp z)) y)
7.0ms	(- (* y (exp z)) y)
7.0ms	(- (* y (exp z)) y)

simplify47.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4973	650
1	4973	650

prune104.0ms

Filtered

48 candidates to 59 candidates (-22.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	59	6	65

Merged error: 3.0b

Counts

65 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ z (/ t z))
4.3b	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
6.1b	(* y (/ z (/ t z)))
6.8b	(* y (/ z t))

rewrite47.0ms

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))
14.0ms	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
13.0ms	(* y (/ z (/ t z)))
6.0ms	(* y (/ z t))

series42.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ z (/ t z))
25.0ms	(+ (* 1.0 (* y (/ z t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
8.0ms	(* y (/ z (/ t z)))
5.0ms	(* y (/ z t))

simplify67.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4964	2144
1	4964	2144

prune264.0ms

Filtered

148 candidates to 196 candidates (-32.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	193	3	196
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	193	9	202

Merged error: 3.0b

Counts

202 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
4.3b	(+ (* 1.0 (* (* y (* (cbrt z) (cbrt z))) (/ (cbrt z) t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
4.4b	(* (* y (* (cbrt z) (cbrt z))) (/ (cbrt z) t))
6.1b	(* y (/ z (/ t z)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
66×	`associate-r`
63×	`add-sqr-sqrt`
54×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-exp-log`
27×	`add-cbrt-cube`
15×	`pow1` `prod-exp` `cbrt-unprod`
12×	`cbrt-prod`
10×	`associate-*r/`
9×	`add-log-exp`
7×	`pow-prod-down`
6×	`cbrt-undiv` `div-exp`
5×	`div-inv`
4×	`associate-l` `frac-add`
3×	`sum-log` `unswap-sqr`
2×	`flip3-+` `*-commutative` `flip-+`
1×	`+-commutative` `associate-+r+` `pow1/3` `associate-/r/`

Counts

4 → 140

Calls

4 calls:

1.0ms	(cbrt z)
23.0ms	(+ (* 1.0 (* (* y (* (cbrt z) (cbrt z))) (/ (cbrt z) t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
12.0ms	(* (* y (* (cbrt z) (cbrt z))) (/ (cbrt z) t))
14.0ms	(* y (/ z (/ t z)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt z)
25.0ms	(+ (* 1.0 (* (* y (* (cbrt z) (cbrt z))) (/ (cbrt z) t))) (+ (/ (log 1.0) t) (* 0.5 (* y (/ z (/ t z))))))
8.0ms	(* (* y (* (cbrt z) (cbrt z))) (/ (cbrt z) t))
8.0ms	(* y (/ z (/ t z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4933	1737
1	4933	1737

prune175.0ms

Filtered

108 candidates to 152 candidates (-40.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	152	9	161

Merged error: 3.0b

Counts

161 → 9

regimes549.0ms

Accuracy

59.5% (4.4b remaining)

Error of 8.3b against oracle of 3.9b and baseline of 14.8b

bsearch35.0ms

Steps

Iters	Range		Point
5	-6.304985741133212e-32	-3.133414758942525e-32	-6.22735235236947e-32

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	172	58
1	172	58

end0.0ms

sample2.7s

Algorithm

intervals

Results

870.0ms	1447×	body	1280	valid
551.0ms	1596×	body	640	valid
250.0ms	3452×	body	80	valid
201.0ms	906×	body	320	valid
121.0ms	86×	body	2560	valid
76.0ms	1484×	body	80	nan
71.0ms	513×	body	160	valid
67.0ms	261×	body	640	nan
46.0ms	838×	body	80	overflowed
38.0ms	111×	body	1280	nan
33.0ms	193×	body	320	nan
13.0ms	122×	body	160	nan
1.0ms	20×	body	80	invalid
0.0ms	1×	body	640	invalid
0.0ms	1×	body	320	invalid

Details

analyze1.2s

sample88.0ms

simplify227.0ms

prune13.0ms

localize10.0ms

rewrite25.0ms

series66.0ms

simplify51.0ms

prune154.0ms

localize14.0ms

rewrite18.0ms

series36.0ms

simplify47.0ms

prune104.0ms

localize16.0ms

rewrite47.0ms

series42.0ms

simplify67.0ms

prune264.0ms

localize19.0ms

rewrite56.0ms

series67.0ms

simplify67.0ms

prune175.0ms

regimes549.0ms

bsearch35.0ms

simplify2.0ms

end0.0ms

sample2.7s

Profiling