Details

sample49.0ms

Algorithm

intervals

Results

10.0ms	38×	body	640	valid
9.0ms	201×	body	80	valid
9.0ms	19×	body	1280	valid
3.0ms	17×	body	320	valid
2.0ms	76×	body	80	nan
2.0ms	21×	body	160	valid

simplify117.0ms

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

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
10.9b	(log (/ y (+ z y)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `associate-/r/` `add-cbrt-cube`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u` `div-inv`
3×	`fma-def` `associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

71.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
5.0ms	(/ y (+ z y))
12.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
43.0ms	(/ y (+ z y))
81.0ms	(* y (log (/ y (+ z y))))
49.0ms	(log (/ y (+ z y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	395	1046
1	1559	967
2	5001	936

prune364.0ms

Filtered

152 candidates to 101 candidates (66.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.5b	(log (/ (cbrt y) (cbrt (+ z y))))
3.5b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 148

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series508.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
183.0ms	(cbrt y)
76.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
71.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify77.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	317	1502
1	772	1456
2	2370	1424
3	5002	1350

prune593.0ms

Filtered

160 candidates to 110 candidates (68.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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))
3.0ms	(/ (exp (* -1 z)) y)

series47.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ 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

prune122.0ms

Filtered

53 candidates to 42 candidates (79.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (exp (- (* -1 z) (log y))))
1.7b	(exp (- (* -1 z) (log y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`exp-sum` `add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`prod-diff`
3×	`pow1` `exp-prod` `fma-def`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `rem-exp-log`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `diff-log` `sum-log` `log-pow` `flip-+` `distribute-lft-out`

Counts

2 → 38

Calls

2 calls:

12.0ms	(+ x (exp (- (* -1 z) (log y))))
10.0ms	(exp (- (* -1 z) (log y)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (exp (- (* -1 z) (log y))))
36.0ms	(exp (- (* -1 z) (log y)))

simplify80.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	203	295
1	549	242
2	2328	209
3	5001	208

prune109.0ms

Filtered

44 candidates to 35 candidates (79.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

28.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.0b

bsearch57.0ms

Steps

Iters	Range		Point
7	-2.46786256225829e+152	-1.4913639427070542e+150	-2.6038622265585177e+151

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	20
1	31	20

end0.0ms

sample1.5s

Algorithm

intervals

Results

358.0ms	802×	body	1280	valid
317.0ms	6517×	body	80	valid
245.0ms	908×	body	640	valid
102.0ms	3115×	body	80	nan
101.0ms	583×	body	320	valid
36.0ms	337×	body	160	valid