Details

sample56.0ms

Algorithm

intervals

Results

18.0ms	190×	body	80	valid
17.0ms	27×	body	1280	valid
7.0ms	22×	body	640	valid
3.0ms	11×	body	320	valid
1.0ms	6×	body	160	valid

simplify26.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

3.0ms	(+ x (cos y))
23.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series111.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ x (cos y))
46.0ms	(- (+ x (cos y)) (* z (sin y)))
41.0ms	(* z (sin y))

simplify91.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	223	348
1	754	317
2	3691	316
3	5001	309

prune175.0ms

Pruning

7 alts after pruning (7 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))

rewrite11.0ms

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))

series415.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
103.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))
98.0ms	(cbrt (sin y))

simplify93.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (87.0ms)

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

prune278.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cos y))
0.0b	(fma (- (sin y)) z (pow (cbrt (+ x (cos y))) 3))
0.4b	(cbrt (+ x (cos y)))
0.5b	(pow (cbrt (+ x (cos y))) 3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`unpow-prod-down` `cube-prod`
6×	`add-log-exp`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out`
3×	`pow-unpow` `fma-def` `flip3-+` `flip-+`
2×	`cube-div` `pow-pow` `pow1/3`
1×	`+-commutative` `cube-mult` `pow-to-exp` `unpow3` `pow-exp` `sum-log` `fma-udef` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

3.0ms	(+ x (cos y))
0.0ms	(fma (- (sin y)) z (pow (cbrt (+ x (cos y))) 3))
2.0ms	(cbrt (+ x (cos y)))
6.0ms	(pow (cbrt (+ x (cos y))) 3)

series282.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ x (cos y))
97.0ms	(fma (- (sin y)) z (pow (cbrt (+ x (cos y))) 3))
72.0ms	(cbrt (+ x (cos y)))
86.0ms	(pow (cbrt (+ x (cos y))) 3)

simplify45.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	371	549
1	1516	489
2	5001	458

prune285.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (cos y))
0.0b	(fma (- (sin y)) z (+ x (cos y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

3.0ms	(+ x (cos y))
0.0ms	(fma (- (sin y)) z (+ x (cos y)))

series75.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (cos y))
47.0ms	(fma (- (sin y)) z (+ x (cos y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 4 (78.0ms)

Iter	Nodes	Cost
0	111	155
1	258	138
2	821	138
3	3404	138
4	5001	136

prune100.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	10
1	16	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

536.0ms	5559×	body	80	valid
502.0ms	976×	body	1280	valid
290.0ms	834×	body	640	valid
100.0ms	412×	body	320	valid
39.0ms	218×	body	160	valid
1.0ms	1×	body	2560	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