Details

sample60.0ms

Algorithm

intervals

Results

12.0ms	24×	body	1280	valid
10.0ms	206×	body	80	valid
8.0ms	29×	body	640	valid
7.0ms	117×	body	80	nan
5.0ms	30×	body	320	valid
2.0ms	20×	body	160	valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (29.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	111	7
4	314	7
5	801	7
6	4217	6
7	5001	6

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 5.5b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
9.6b	(log (/ y (+ z y)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

90×	`log-prod`
79×	`*-un-lft-identity`
60×	`times-frac`
49×	`add-sqr-sqrt`
47×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-exp-log`
8×	`pow1` `add-log-exp`
6×	`flip3-+` `add-cbrt-cube` `flip-+`
5×	`div-inv`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`fma-def` `associate-l`
2×	`rem-log-exp` `log-pow`
1×	`+-commutative` `log-div` `exp-prod` `exp-to-pow` `div-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 153

Calls

4 calls:

36.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
7.0ms	(exp (* y (log (/ y (+ z y)))))
9.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series439.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
237.0ms	(exp (* y (log (/ y (+ z y)))))
80.0ms	(* y (log (/ y (+ z y))))
49.0ms	(log (/ y (+ z y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	582	1288
1	1993	1191
2	5002	1169

prune285.0ms

Filtered

165 candidates to 98 candidates (59.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	163	2	165
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	165	2	167

Merged error: 0.0b

Counts

167 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
0.0b	(/ (pow (exp y) (log (/ y (+ z y)))) y)
0.1b	(pow (exp y) (log (/ y (+ z y))))
9.6b	(log (/ y (+ z y)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
128×	`*-un-lft-identity`
108×	`log-prod`
90×	`unpow-prod-up` `add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
15×	`unpow-prod-down`
12×	`associate-/r/`
11×	`add-exp-log`
7×	`pow1` `flip3-+` `flip-+` `div-inv`
6×	`add-cbrt-cube` `add-log-exp`
5×	`sqr-pow`
4×	`expm1-log1p-u` `pow-unpow` `pow-pow` `div-exp` `log1p-expm1-u`
3×	`log-div` `exp-prod` `fma-def` `associate-/r*`
2×	`pow-to-exp` `rem-log-exp` `pow-exp` `log-pow` `pow-sub`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `clear-num` `sum-log` `associate-/l/`

Counts

4 → 210

Calls

4 calls:

23.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
12.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
8.0ms	(pow (exp y) (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
107.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
147.0ms	(pow (exp y) (log (/ y (+ z y))))
49.0ms	(log (/ y (+ z y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	725	2318
1	2721	2273
2	5002	2236

prune543.0ms

Filtered

222 candidates to 167 candidates (75.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	221	3	224

Merged error: 0.0b

Counts

224 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (exp (* -1 z)) y))
0.0b	(/ (exp (* -1 z)) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `fma-def` `associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
1×	`cbrt-undiv` `+-commutative` `exp-neg` `frac-2neg` `mul-1-neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `associate-/l/` `distribute-lft-out`

Counts

2 → 47

Calls

2 calls:

6.0ms	(+ x (/ (exp (* -1 z)) y))
4.0ms	(/ (exp (* -1 z)) y)

series42.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ x (/ (exp (* -1 z)) y))
20.0ms	(/ (exp (* -1 z)) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	184	292
1	491	275
2	2110	271
3	5001	271

prune98.0ms

Filtered

53 candidates to 42 candidates (79.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	53	3	56

Merged error: 0.0b

Counts

56 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (/ (exp (* -1 z)) (sqrt y)) (sqrt y)))
0.1b	(/ (exp (* -1 z)) (sqrt y))
0.1b	(/ (/ (exp (* -1 z)) (sqrt y)) (sqrt y))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
158×	`*-un-lft-identity`
156×	`add-sqr-sqrt` `add-cube-cbrt`
144×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
10×	`add-cbrt-cube`
9×	`div-inv`
8×	`add-exp-log`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `exp-neg` `mul-1-neg` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 236

Calls

3 calls:

35.0ms	(+ x (/ (/ (exp (* -1 z)) (sqrt y)) (sqrt y)))
5.0ms	(/ (exp (* -1 z)) (sqrt y))
11.0ms	(/ (/ (exp (* -1 z)) (sqrt y)) (sqrt y))

series117.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (/ (/ (exp (* -1 z)) (sqrt y)) (sqrt y)))
51.0ms	(/ (exp (* -1 z)) (sqrt y))
31.0ms	(/ (/ (exp (* -1 z)) (sqrt y)) (sqrt y))

simplify81.0ms

Algorithm

egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	715	3042
1	2532	2733
2	5001	2696

prune368.0ms

Filtered

245 candidates to 127 candidates (51.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	245	3	248

Merged error: 0.0b

Counts

248 → 3

regimes65.0ms

Accuracy

-88.5% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.0b

bsearch98.0ms

Steps

Iters	Range		Point
8	1.8780971265971476e+96	5.619537980808456e+100	1.9090673463947392e+96
7	-5.135126795772214e-06	-1.5716844916233281e-07	-5.833904015410056e-07

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	11
1	29	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

351.0ms	766×	body	1280	valid
318.0ms	6569×	body	80	valid
255.0ms	952×	body	640	valid
114.0ms	3087×	body	80	nan
99.0ms	571×	body	320	valid
33.0ms	299×	body	160	valid

Details

sample60.0ms

simplify115.0ms

prune8.0ms

localize10.0ms

rewrite65.0ms

series439.0ms

simplify61.0ms

prune285.0ms

localize11.0ms

rewrite62.0ms

series396.0ms

simplify81.0ms

prune543.0ms

localize6.0ms

rewrite12.0ms

series42.0ms

simplify67.0ms

prune98.0ms

localize9.0ms

rewrite64.0ms

series117.0ms

simplify81.0ms

prune368.0ms

regimes65.0ms

bsearch98.0ms

simplify1.0ms

end0.0ms

sample1.5s

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