Details

sample57.0ms

Algorithm

intervals

Results

20.0ms	291×	body	80	valid
18.0ms	352×	body	80	nan

simplify83.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

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:

17.0ms	(+ (- 1.0 z) (log z))
0.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
44.0ms	(* y (+ (- 1.0 z) (log z)))

series337.0ms

Counts

3 → 9

Calls

3 calls:

183.0ms	(+ (- 1.0 z) (log z))
66.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
88.0ms	(* y (+ (- 1.0 z) (log z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (42.0ms)

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

prune249.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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:

12.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
4.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.4s

Counts

4 → 12

Calls

4 calls:

299.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
713.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
197.0ms	(cbrt z)
200.0ms	(cbrt z)

simplify48.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	290	621
1	1166	547
2	5001	502

prune383.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (fma 2 (log (cbrt z)) (- 1.0 z)))
0.3b	(* (log (pow z 1/3)) y)
0.6b	(cbrt z)
4.9b	(pow z 1/3)

rewrite10.0ms

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:

3.0ms	(* y (fma 2 (log (cbrt z)) (- 1.0 z)))
3.0ms	(* (log (pow z 1/3)) y)
1.0ms	(cbrt z)
2.0ms	(pow z 1/3)

series723.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* y (fma 2 (log (cbrt z)) (- 1.0 z)))
119.0ms	(* (log (pow z 1/3)) y)
196.0ms	(cbrt z)
202.0ms	(pow z 1/3)

simplify48.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (42.0ms)

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

prune619.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (fma 2 (log (cbrt z)) (- 1.0 z)))
0.3b	(* (log (pow (/ 1 z) -1/3)) y)
0.6b	(cbrt z)
4.9b	(pow (/ 1 z) -1/3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `unpow-prod-down`
10×	`pow1`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`associate-l`
6×	`associate-r`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`distribute-rgt-in` `pow-to-exp` `rec-exp` `pow-flip` `distribute-lft-in` `pow1/3` `1-exp` `log-pow` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 90

Calls

4 calls:

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

series716.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* y (fma 2 (log (cbrt z)) (- 1.0 z)))
119.0ms	(* (log (pow (/ 1 z) -1/3)) y)
198.0ms	(cbrt z)
194.0ms	(pow (/ 1 z) -1/3)

simplify64.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	381	531
1	1587	456
2	5002	419

prune412.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample1.5s

Algorithm

intervals

Results

666.0ms	9239×	body	80	valid
475.0ms	9368×	body	80	nan