Details

sample69.0ms

Algorithm

intervals

Results

27.0ms	789×	body	80	nan
11.0ms	256×	body	80	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	134	6
3	282	6
4	541	5
5	752	5
6	968	5
7	1199	5
8	1327	5
9	1327	5

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
16×	`prod-diff`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
9×	`pow1`
7×	`log-pow`
6×	`distribute-lft-out`
5×	`add-log-exp`
4×	`fma-neg` `distribute-lft-out--`
3×	`log-prod` `associate--l+`
2×	`add-exp-log` `expm1-log1p-u` `diff-log` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `fma-udef` `associate--r+` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

10.0ms	(- (log t) (+ y z))
0.0ms	(fma (log y) x (- (log t) (+ y z)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (log t) (+ y z))
50.0ms	(fma (log y) x (- (log t) (+ y z)))

simplify101.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	242	500
1	768	348
2	4200	307
3	5001	307

prune135.0ms

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 142

Calls

4 calls:

23.0ms	(- (- (* x (log y)) y) z)
6.0ms	(- (* x (log y)) y)
73.0ms	(+ (- (- (* x (log y)) y) z) (log t))
6.0ms	(* x (log y))

series174.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (- (* x (log y)) y) z)
55.0ms	(- (* x (log y)) y)
46.0ms	(+ (- (- (* x (log y)) y) z) (log t))
39.0ms	(* x (log y))

simplify59.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	504	963
1	1901	767
2	5002	741

prune403.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series730.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt y) (cbrt y))
174.0ms	(cbrt y)
178.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify91.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune346.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series751.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt y) (cbrt y))
182.0ms	(cbrt y)
179.0ms	(cbrt y)
183.0ms	(pow y 1/3)

simplify148.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	179	308
1	790	229
2	4954	214
3	5001	214

prune377.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes132.0ms

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	26	17
1	26	17

end0.0ms

sample2.0s

Algorithm

intervals

Results

808.0ms	24021×	body	80	nan
331.0ms	8023×	body	80	valid
0.0ms	1×	body	640	valid