Details

sample36.0ms

Algorithm

intervals

Results

9.0ms	289×	body	80	valid
7.0ms	290×	body	80	nan

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite129.0ms

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

Counts

3 → 82

Calls

3 calls:

22.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
31.0ms	(+ (- 1.0 z) (log z))
74.0ms	(* y (+ (- 1.0 z) (log z)))

series279.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
156.0ms	(+ (- 1.0 z) (log z))
71.0ms	(* y (+ (- 1.0 z) (log z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	410	523
1	1823	431
2	5001	425

prune220.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
0.2b	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

8.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
23.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

633.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
246.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
183.0ms	(cbrt z)
174.0ms	(cbrt z)

simplify40.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	290	621
1	1166	547
2	5002	502

prune318.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (fma 2 (log (cbrt z)) (- 1.0 z)))
0.2b	(* (log (pow z 1/3)) y)
0.6b	(cbrt z)
5.0b	(pow z 1/3)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log`
8×	`add-cbrt-cube`
7×	`associate-l`
6×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `unpow1/3` `pow1/3` `pow-exp` `log-pow` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

7.0ms	(* y (fma 2 (log (cbrt z)) (- 1.0 z)))
8.0ms	(* (log (pow z 1/3)) y)
1.0ms	(cbrt z)
3.0ms	(pow z 1/3)

series614.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* y (fma 2 (log (cbrt z)) (- 1.0 z)))
105.0ms	(* (log (pow z 1/3)) y)
174.0ms	(cbrt z)
172.0ms	(pow z 1/3)

simplify41.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	279	395
1	1166	342
2	5002	321

prune317.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 z) y)
0.1b	(+ (fma x 0.5 (* (- 1.0 z) y)) (* y (log z)))
0.3b	(* y (log z))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

23.0ms	(* (- 1.0 z) y)
7.0ms	(+ (fma x 0.5 (* (- 1.0 z) y)) (* y (log z)))
8.0ms	(* y (log z))

series117.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* (- 1.0 z) y)
57.0ms	(+ (fma x 0.5 (* (- 1.0 z) y)) (* y (log z)))
34.0ms	(* y (log z))

simplify42.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	327	418
1	1304	371
2	5002	358

prune201.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes101.0ms

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	11	5
1	11	5

end0.0ms

sample1.0s

Algorithm

intervals

Results

304.0ms	9104×	body	80	valid
225.0ms	8912×	body	80	nan