Details

sample39.0ms

Algorithm

intervals

Results

13.0ms	301×	body	80	valid
8.0ms	300×	body	80	nan

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	5
1	57	5
2	121	5
3	241	5
4	364	5
5	490	5
6	641	5
7	1023	5
8	1797	5
9	2155	5
10	2161	5
11	2161	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
7×	`associate-r`
5×	`pow1` `add-sqr-sqrt`
4×	`distribute-lft-out`
3×	`add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`associate-*r/` `log-pow` `distribute-lft-out--`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 28

Calls

1 calls:

9.0ms

(* y (+ (- 1.0 z) (log z)))

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

(* y (+ (- 1.0 z) (log z)))

simplify90.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	190	167
1	834	143
2	4322	143
3	5001	143

prune66.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- 1.0 z))
0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.2b	(* y (log z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
36×	`prod-diff`
35×	`add-cube-cbrt`
28×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+l+`
12×	`log-prod`
9×	`associate-r`
8×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+` `associate-l`
5×	`add-log-exp`
4×	`sub-neg`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `sum-log` `log-pow` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 116

Calls

3 calls:

10.0ms	(* y (- 1.0 z))
9.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
5.0ms	(* y (log z))

series173.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* y (- 1.0 z))
98.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
37.0ms	(* y (log z))

simplify58.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	439	805
1	1868	576
2	5001	566

prune284.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* (log (cbrt z)) y))
0.3b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

8.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* (log (cbrt z)) y))
4.0ms	(* (log (cbrt z)) y)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series637.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* (log (cbrt z)) y))
121.0ms	(* (log (cbrt z)) y)
180.0ms	(cbrt z)
179.0ms	(cbrt z)

simplify40.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	254	439
1	1038	395
2	5001	361

prune272.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (pow (* (log (pow z 1/3)) y) 1))
0.3b	(* (log (pow z 1/3)) y)
0.6b	(cbrt z)
4.9b	(pow z 1/3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-r`
1×	`+-commutative` `pow-to-exp` `pow-pow` `fma-def` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

9.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (pow (* (log (pow z 1/3)) y) 1))
4.0ms	(* (log (pow z 1/3)) y)
1.0ms	(cbrt z)
2.0ms	(pow z 1/3)

series670.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (pow (* (log (pow z 1/3)) y) 1))
108.0ms	(* (log (pow z 1/3)) y)
182.0ms	(cbrt z)
183.0ms	(pow z 1/3)

simplify49.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	336	464
1	1374	406
2	5001	374

prune325.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes170.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	12
1	29	12

end0.0ms

sample976.0ms

Algorithm

intervals

Results

333.0ms	9122×	body	80	valid
259.0ms	9134×	body	80	nan