Details

sample83.0ms

Algorithm

intervals

Results

22.0ms	206×	body	80	valid
20.0ms	32×	body	1280	valid
13.0ms	35×	body	640	valid
6.0ms	99×	body	80	nan
4.0ms	17×	body	320	valid
3.0ms	15×	body	160	valid

simplify137.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (40.0ms)

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
9.5b	(log (/ y (+ z y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`associate-/r/`
7×	`pow1` `add-cbrt-cube`
4×	`flip3-+` `associate-r` `associate-/r*` `flip-+` `div-inv`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 123

Calls

3 calls:

6.0ms	(/ y (+ z y))
12.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ y (+ z y))
87.0ms	(* y (log (/ y (+ z y))))
58.0ms	(log (/ y (+ z y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	302	874
1	1269	813
2	5001	783

prune342.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
4.1b	(log (/ (cbrt y) (cbrt (+ z y))))
4.1b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite26.0ms

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:

0.0ms	(cbrt y)
1.0ms	(cbrt y)
10.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series558.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt y)
202.0ms	(cbrt y)
83.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
78.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify88.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 3 (72.0ms)

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

prune656.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
4.1b	(log (/ (cbrt y) (cbrt (+ z y))))
11.7b	(log (/ (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y))) (cbrt (+ z y))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

61×	`cbrt-prod` `log-prod`
51×	`*-un-lft-identity`
49×	`times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
7×	`distribute-lft-out`
6×	`pow1`
5×	`rem-log-exp`
4×	`expm1-log1p-u` `cbrt-div` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`div-exp`
2×	`log-div` `flip3-+` `pow1/3` `log-pow` `flip-+` `div-inv`
1×	`prod-exp`

Counts

4 → 117

Calls

4 calls:

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

series616.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt y)
265.0ms	(cbrt (cbrt y))
83.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
85.0ms	(log (/ (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y))) (cbrt (+ z y))))

simplify89.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	386	1227
1	920	1164
2	2934	1145
3	5002	1101

prune641.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes143.0ms

Accuracy

86.8% (0.7b remaining)

Error of 1.4b against oracle of 0.7b and baseline of 5.8b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	49	78
1	52	48
2	55	48
3	55	48

end0.0ms

sample2.1s

Algorithm

intervals

Results

617.0ms	6542×	body	80	valid
466.0ms	796×	body	1280	valid
339.0ms	906×	body	640	valid
185.0ms	2985×	body	80	nan
144.0ms	527×	body	320	valid
58.0ms	328×	body	160	valid