Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	292×	body	80	valid
8.0ms	279×	body	80	nan

simplify71.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

0.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
18.0ms	(+ (- 1.0 z) (log z))
43.0ms	(* y (+ (- 1.0 z) (log z)))

series288.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
158.0ms	(+ (- 1.0 z) (log z))
73.0ms	(* y (+ (- 1.0 z) (log z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	336	468
1	1466	370
2	5001	366

prune208.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
0.2b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt` `prod-diff`
28×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+l+`
12×	`log-prod`
9×	`pow1` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `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-+` `fma-udef` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 126

Calls

4 calls:

12.0ms	(* y (- 1.0 z))
0.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
9.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms	(* y (log z))

series232.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* y (- 1.0 z))
58.0ms	(fma x 0.5 (+ (* y (- 1.0 z)) (* y (log z))))
95.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
41.0ms	(* y (log z))

simplify63.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	494	914
1	2048	666
2	5003	654

prune341.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (fma y (- 1.0 z) (* y (log (sqrt z)))) (* y (log (sqrt z))))
0.2b	(fma y (- 1.0 z) (* y (log (sqrt z))))
0.3b	(* y (log (sqrt z)))
0.3b	(* y (log (sqrt z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
25×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
12×	`pow1` `associate-+r+` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l` `log-pow` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def`
2×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `flip-+`

Counts

4 → 109

Calls

4 calls:

4.0ms	(+ (fma y (- 1.0 z) (* y (log (sqrt z)))) (* y (log (sqrt z))))
0.0ms	(fma y (- 1.0 z) (* y (log (sqrt z))))
6.0ms	(* y (log (sqrt z)))
6.0ms	(* y (log (sqrt z)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(+ (fma y (- 1.0 z) (* y (log (sqrt z)))) (* y (log (sqrt z))))
90.0ms	(fma y (- 1.0 z) (* y (log (sqrt z))))
88.0ms	(* y (log (sqrt z)))
89.0ms	(* y (log (sqrt z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	335	891
1	1233	815
2	5001	768

prune348.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt (sqrt z))) y)
0.3b	(* y (* 2 (log (cbrt (sqrt z)))))
0.6b	(cbrt (sqrt z))
0.6b	(cbrt (sqrt z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod` `distribute-rgt-in` `log-prod` `distribute-lft-in`
25×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
18×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 110

Calls

4 calls:

4.0ms	(* (log (cbrt (sqrt z))) y)
13.0ms	(* y (* 2 (log (cbrt (sqrt z)))))
1.0ms	(cbrt (sqrt z))
1.0ms	(cbrt (sqrt z))

series555.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (log (cbrt (sqrt z))) y)
128.0ms	(* y (* 2 (log (cbrt (sqrt z)))))
149.0ms	(cbrt (sqrt z))
148.0ms	(cbrt (sqrt z))

simplify45.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	409	916
1	1169	838
2	5001	808

prune402.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes76.0ms

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	23	16
1	23	16

end0.0ms

sample948.0ms

Algorithm

intervals

Results

329.0ms	9220×	body	80	valid
248.0ms	9018×	body	80	nan