Details

sample112.0ms

Algorithm

intervals

Results

47.0ms	624×	body	80	valid
33.0ms	629×	body	80	nan

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	17	5
1	37	5
2	71	4
3	105	4
4	219	4
5	708	4
6	2137	4
7	5001	4

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (log y)))
0.0b	(- (+ x (* y (log y))) z)
0.0b	(exp (- (+ x (* y (log y))) z))
0.3b	(* y (log y))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
25×	`add-cube-cbrt`
18×	`prod-diff`
17×	`add-log-exp`
12×	`log-prod` `exp-sum`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `add-cbrt-cube`
5×	`exp-prod`
4×	`expm1-log1p-u` `diff-log` `associate-r` `log1p-expm1-u`
3×	`fma-def` `fma-neg` `associate-l` `sum-log` `rem-exp-log`
2×	`sub-neg` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `flip3--` `flip3-+` `exp-diff` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

3.0ms	(+ x (* y (log y)))
19.0ms	(- (+ x (* y (log y))) z)
29.0ms	(exp (- (+ x (* y (log y))) z))
4.0ms	(* y (log y))

series289.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ x (* y (log y)))
37.0ms	(- (+ x (* y (log y))) z)
31.0ms	(exp (- (+ x (* y (log y))) z))
176.0ms	(* y (log y))

simplify45.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	356	836
1	1213	630
2	5002	557

prune271.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (pow y y) (exp z))
0.3b	(* (exp x) (/ (pow y y) (exp z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
43×	`add-sqr-sqrt`
33×	`add-cube-cbrt` `*-un-lft-identity`
25×	`associate-r`
22×	`unpow-prod-down`
9×	`add-cbrt-cube`
8×	`sqr-pow`
7×	`add-exp-log` `associate-/l*`
6×	`div-exp`
4×	`pow1` `prod-exp` `unswap-sqr`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `pow-to-exp` `pow-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 97

Calls

2 calls:

5.0ms	(/ (pow y y) (exp z))
19.0ms	(* (exp x) (/ (pow y y) (exp z)))

series96.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (pow y y) (exp z))
62.0ms	(* (exp x) (/ (pow y y) (exp z)))

simplify40.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	315	706
1	1403	661
2	5002	660

prune258.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt y) y)
0.2b	(/ (exp z) (pow (sqrt y) y))
0.3b	(* (exp x) (/ (pow (sqrt y) y) (/ (exp z) (pow (sqrt y) y))))
0.3b	(/ (pow (sqrt y) y) (/ (exp z) (pow (sqrt y) y)))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

1376×	`times-frac`
840×	`unpow-prod-down`
728×	`add-sqr-sqrt`
659×	`add-cube-cbrt` `*-un-lft-identity`
420×	`sqrt-prod`
345×	`associate-r`
146×	`sqr-pow`
45×	`div-exp`
44×	`associate-/r*`
42×	`add-exp-log`
24×	`div-inv`
21×	`unswap-sqr`
20×	`add-cbrt-cube`
16×	`pow-to-exp` `pow-exp`
13×	`prod-exp` `associate-/l*`
8×	`pow1`
7×	`cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow` `associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `-commutative` `sqrt-pow2`

Counts

4 → 892

Calls

4 calls:

2.0ms	(pow (sqrt y) y)
6.0ms	(/ (exp z) (pow (sqrt y) y))
124.0ms	(* (exp x) (/ (pow (sqrt y) y) (/ (exp z) (pow (sqrt y) y))))
24.0ms	(/ (pow (sqrt y) y) (/ (exp z) (pow (sqrt y) y)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(pow (sqrt y) y)
75.0ms	(/ (exp z) (pow (sqrt y) y))
107.0ms	(* (exp x) (/ (pow (sqrt y) y) (/ (exp z) (pow (sqrt y) y))))
78.0ms	(/ (pow (sqrt y) y) (/ (exp z) (pow (sqrt y) y)))

simplify156.0ms

Algorithm

egg-herbie

Counts

904 → 904

Iterations

Useful iterations: 1 (48.0ms)

Iter	Nodes	Cost
0	2358	12622
1	5001	12082

prune2.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.4s	19074×	body	80	valid
932.0ms	19034×	body	80	nan