Details

sample55.0ms

Algorithm

intervals

Results

12.0ms	27×	body	1280	valid
9.0ms	193×	body	80	valid
8.0ms	31×	body	640	valid
4.0ms	24×	body	320	valid
3.0ms	105×	body	80	nan
1.0ms	12×	body	160	valid

simplify140.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
10.3b	(log (/ y (+ z y)))

rewrite136.0ms

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:

13.0ms	(/ y (+ z y))
88.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
22.0ms	(* y (log (/ y (+ z y))))
7.0ms	(log (/ y (+ z y)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ y (+ z y))
85.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
87.0ms	(* y (log (/ y (+ z y))))
53.0ms	(log (/ y (+ z y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (47.0ms)

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

prune375.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
2.9b	(log (/ (cbrt y) (cbrt (+ z y))))
2.9b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 154

Calls

4 calls:

4.0ms	(cbrt (+ z y))
4.0ms	(cbrt (+ z y))
13.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
10.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series464.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (+ z y))
153.0ms	(cbrt (+ z y))
80.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
85.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify163.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	361	1602
1	991	1550
2	4162	1518
3	5001	1508

prune841.0ms

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)

rewrite27.0ms

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:

15.0ms	(+ x (/ (exp (* -1 z)) y))
10.0ms	(/ (exp (* -1 z)) y)

series44.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ x (/ (exp (* -1 z)) y))
21.0ms	(/ (exp (* -1 z)) y)

simplify80.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (21.0ms)

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

prune132.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))
0.6b	(cbrt (/ (exp (* -1 z)) y))
0.6b	(cbrt (/ (exp (* -1 z)) y))
0.6b	(cbrt (/ (exp (* -1 z)) y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

31.0ms	(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))
3.0ms	(cbrt (/ (exp (* -1 z)) y))
3.0ms	(cbrt (/ (exp (* -1 z)) y))
4.0ms	(cbrt (/ (exp (* -1 z)) y))

series337.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (cbrt (/ (exp (* -1 z)) y)) (cbrt (/ (exp (* -1 z)) y)))
76.0ms	(cbrt (/ (exp (* -1 z)) y))
77.0ms	(cbrt (/ (exp (* -1 z)) y))
81.0ms	(cbrt (/ (exp (* -1 z)) y))

simplify61.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	329	1776
1	1175	1694
2	5002	1611

prune592.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes65.0ms

Accuracy

46.8% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.2b

bsearch86.0ms

Steps

Iters	Range		Point
10	-2.567850748126576e+63	-4.131982550696902e+45	-1.6114585939872277e+54

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	22
1	40	22
2	40	22

end0.0ms

sample1.5s

Algorithm

intervals

Results

355.0ms	793×	body	1280	valid
312.0ms	6477×	body	80	valid
230.0ms	895×	body	640	valid
97.0ms	558×	body	320	valid
96.0ms	3029×	body	80	nan
42.0ms	376×	body	160	valid