Details

sample42.0ms

Algorithm

intervals

Results

13.0ms	31×	body	1280	valid
9.0ms	181×	body	80	valid
7.0ms	27×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	9×	body	160	valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `fma-neg` `prod-diff` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `diff-log` `log1p-expm1-u` `distribute-lft-out`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 44

Calls

2 calls:

22.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- (+ x (cos y)) (* z (sin y)))
42.0ms	(* z (sin y))

simplify90.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	179	287
1	653	257
2	3467	256
3	5001	249

prune121.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series421.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
106.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))

simplify94.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	398
3	5001	392

prune277.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

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 z) (cbrt z))
0.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series744.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt z) (cbrt z))
179.0ms	(cbrt z)
180.0ms	(cbrt z)
184.0ms	(cbrt z)

simplify87.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (82.0ms)

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

prune276.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (* (cbrt z) (cbrt z)))
0.6b	(cbrt (* (cbrt z) (cbrt z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt (cbrt z))
1.0ms	(cbrt (cbrt z))
3.0ms	(cbrt (* (cbrt z) (cbrt z)))
6.0ms	(cbrt (* (cbrt z) (cbrt z)))

series1.2s

Counts

4 → 12

Calls

4 calls:

236.0ms	(cbrt (cbrt z))
450.0ms	(cbrt (cbrt z))
275.0ms	(cbrt (* (cbrt z) (cbrt z)))
271.0ms	(cbrt (* (cbrt z) (cbrt z)))

simplify75.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 4 (71.0ms)

Iter	Nodes	Cost
0	92	306
1	184	278
2	553	270
3	1965	270
4	5002	264

prune273.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	12
1	14	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

406.0ms	949×	body	1280	valid
302.0ms	5616×	body	80	valid
218.0ms	829×	body	640	valid
70.0ms	400×	body	320	valid
25.0ms	206×	body	160	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5