Details

sample33.0ms

Algorithm

intervals

Results

9.0ms	257×	body	80	valid
8.0ms	297×	body	80	nan

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	21	6
1	63	6
2	212	6
3	725	5
4	1882	5
5	3231	5
6	4574	5
7	5001	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
33×	`prod-diff`
25×	`add-cube-cbrt`
12×	`associate--r+`
10×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`fma-neg`
5×	`difference-of-squares`
4×	`diff-log`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--r-`

Counts

3 → 88

Calls

3 calls:

15.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
6.0ms	(- (fma (log y) (+ y 0.5) z) y)
1.0ms	(fma (log y) (+ y 0.5) z)

series163.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
54.0ms	(- (fma (log y) (+ y 0.5) z) y)
35.0ms	(fma (log y) (+ y 0.5) z)

simplify73.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	404	1160
1	1496	822
2	5003	746

prune213.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (/ 1 y))
0.0b	(+ (fma (log (/ 1 y)) y y) (- x z))
0.2b	(fma (log (/ 1 y)) y y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
17×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`log-prod`
11×	`associate-+r+`
9×	`times-frac` `prod-diff`
8×	`add-exp-log` `add-log-exp`
5×	`pow1`
4×	`rem-log-exp`
3×	`expm1-log1p-u` `fma-def` `log-pow` `add-cbrt-cube` `log1p-expm1-u`
2×	`div-exp` `sum-log` `fma-udef` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `sub-neg` `log-div` `rec-exp` `associate-+l+` `pow-flip` `flip3-+` `diff-log` `1-exp` `log-rec` `flip-+` `div-inv` `distribute-lft-out--` `inv-pow`

Counts

3 → 73

Calls

3 calls:

3.0ms	(log (/ 1 y))
6.0ms	(+ (fma (log (/ 1 y)) y y) (- x z))
1.0ms	(fma (log (/ 1 y)) y y)

series363.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(log (/ 1 y))
45.0ms	(+ (fma (log (/ 1 y)) y y) (- x z))
192.0ms	(fma (log (/ 1 y)) y y)

simplify34.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	326	453
1	1036	384
2	5002	356

prune207.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (cbrt 1) (cbrt y))
0.3b	(+ (* 2 (log (/ (cbrt 1) (cbrt y)))) (log (/ (cbrt 1) (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

156×	`cbrt-prod`
144×	`times-frac`
120×	`log-prod`
110×	`*-un-lft-identity`
109×	`add-sqr-sqrt` `add-cube-cbrt`
80×	`associate-+l+`
40×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
6×	`add-exp-log` `associate-/r` `associate-/l`
5×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `div-inv`
2×	`distribute-rgt-out` `pow1/3`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `log-div` `fma-def` `frac-2neg` `distribute-lft1-in` `flip3-+` `div-exp` `clear-num` `sum-log` `log-pow` `flip-+`

Counts

4 → 226

Calls

4 calls:

5.0ms	(/ (cbrt 1) (cbrt y))
19.0ms	(+ (* 2 (log (/ (cbrt 1) (cbrt y)))) (log (/ (cbrt 1) (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series846.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(/ (cbrt 1) (cbrt y))
287.0ms	(+ (* 2 (log (/ (cbrt 1) (cbrt y)))) (log (/ (cbrt 1) (cbrt y))))
170.0ms	(cbrt y)
213.0ms	(cbrt y)

simplify65.0ms

Algorithm

egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	642	2008
1	1717	1936
2	5002	1855

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (log y) (+ y 0.5) z)
0.1b	(fma (log y) (+ y 0.5) z)
0.1b	(+ (sqrt (fma (log y) (+ y 0.5) z)) (sqrt y))
0.3b	(* (+ (sqrt (fma (log y) (+ y 0.5) z)) (sqrt y)) (- (sqrt (fma (log y) (+ y 0.5) z)) (sqrt y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

85×	`sqrt-prod`
72×	`prod-diff`
68×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
56×	`add-cube-cbrt`
38×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r`
6×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `flip3-+` `flip-+` `log1p-expm1-u` `distribute-lft-out` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`sub-neg` `associate-r/` `associate-l/` `fma-udef` `distribute-lft-out--`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 153

Calls

4 calls:

1.0ms	(fma (log y) (+ y 0.5) z)
1.0ms	(fma (log y) (+ y 0.5) z)
5.0ms	(+ (sqrt (fma (log y) (+ y 0.5) z)) (sqrt y))
17.0ms	(* (+ (sqrt (fma (log y) (+ y 0.5) z)) (sqrt y)) (- (sqrt (fma (log y) (+ y 0.5) z)) (sqrt y)))

series690.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma (log y) (+ y 0.5) z)
37.0ms	(fma (log y) (+ y 0.5) z)
116.0ms	(+ (sqrt (fma (log y) (+ y 0.5) z)) (sqrt y))
496.0ms	(* (+ (sqrt (fma (log y) (+ y 0.5) z)) (sqrt y)) (- (sqrt (fma (log y) (+ y 0.5) z)) (sqrt y)))

simplify122.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	948	3952
1	4011	3021
2	5001	3006

prune407.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes94.0ms

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	10	5
1	10	5

end0.0ms

sample847.0ms

Algorithm

intervals

Results

284.0ms	8033×	body	80	valid
221.0ms	7949×	body	80	nan
0.0ms	1×	body	640	valid