Details

sample72.0ms

Algorithm

intervals

Results

18.0ms	29×	body	1280	valid
15.0ms	194×	body	80	valid
13.0ms	33×	body	640	valid
5.0ms	17×	body	320	valid
4.0ms	75×	body	80	nan
3.0ms	15×	body	160	valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (30.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
7.5b	(log (/ y (+ z y)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

273×	`times-frac`
234×	`log-prod`
232×	`*-un-lft-identity`
180×	`exp-sum`
156×	`add-sqr-sqrt`
154×	`add-cube-cbrt`
108×	`distribute-rgt-in` `distribute-lft-in`
39×	`distribute-lft-out` `associate-/l*`
26×	`associate-/r/`
14×	`div-inv`
13×	`flip3-+` `flip-+`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`associate-l` `associate-/r*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `exp-to-pow` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 309

Calls

4 calls:

34.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
10.0ms	(exp (* y (log (/ y (+ z y)))))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series483.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
224.0ms	(exp (* y (log (/ y (+ z y)))))
80.0ms	(* y (log (/ y (+ z y))))
47.0ms	(log (/ y (+ z y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

321 → 321

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	843	3316
1	2726	2860
2	5001	2844

prune649.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

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))))
7.5b	(log (/ y (+ z y)))

rewrite81.0ms

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:

41.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
19.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
6.0ms	(pow (exp y) (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
107.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
142.0ms	(pow (exp y) (log (/ y (+ z y))))
52.0ms	(log (/ y (+ z y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 2 (55.0ms)

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

prune702.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
2.7b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)
3.2b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

53×	`cbrt-prod`
51×	`*-un-lft-identity`
48×	`log-prod`
43×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
18×	`cbrt-div`
13×	`unpow-prod-down`
10×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out`
6×	`pow1`
5×	`div-exp` `pow-exp`
4×	`expm1-log1p-u` `frac-times` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `associate-r/` `rem-log-exp` `associate-l/` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 126

Calls

4 calls:

2.0ms	(cbrt (+ z y))
2.0ms	(cbrt (+ z y))
19.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series611.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (+ z y))
129.0ms	(cbrt (+ z y))
274.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)
74.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify57.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	639	1410
1	2027	1338
2	5001	1284

prune533.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.2b	(pow (sqrt (/ y (+ z y))) y)
3.2b	(log (sqrt (/ y (+ z y))))
4.2b	(sqrt (/ y (+ z y)))
4.2b	(sqrt (/ y (+ z y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-prod`
63×	`*-un-lft-identity`
50×	`times-frac`
45×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
21×	`unpow-prod-down` `log-prod`
12×	`distribute-lft-out`
10×	`pow1`
8×	`associate-/r/`
6×	`add-exp-log`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-unpow` `pow-pow` `sqrt-div` `log-pow`
1×	`pow-to-exp` `log-div` `rem-log-exp` `pow-exp` `sqrt-pow2` `sqr-pow`

Counts

4 → 139

Calls

4 calls:

12.0ms	(pow (sqrt (/ y (+ z y))) y)
4.0ms	(log (sqrt (/ y (+ z y))))
6.0ms	(sqrt (/ y (+ z y)))
6.0ms	(sqrt (/ y (+ z y)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(pow (sqrt (/ y (+ z y))) y)
80.0ms	(log (sqrt (/ y (+ z y))))
69.0ms	(sqrt (/ y (+ z y)))
62.0ms	(sqrt (/ y (+ z y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	419	1052
1	1406	978
2	5001	968

prune533.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

47.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.1b

bsearch58.0ms

Steps

Iters	Range		Point
8	-1.9583052665026904e+19	-865616285789687.6	-23989478599247524.0

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	11
1	23	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

529.0ms	6488×	body	80	valid
501.0ms	801×	body	1280	valid
375.0ms	937×	body	640	valid
168.0ms	2960×	body	80	nan
144.0ms	536×	body	320	valid
50.0ms	294×	body	160	valid