Details

sample49.0ms

Algorithm

intervals

Results

18.0ms	44×	body	1280	valid
10.0ms	169×	body	80	valid
8.0ms	29×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	7×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	4

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.1b	(fma (cos y) z (+ x (sin y)))

rewrite8.0ms

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:

7.0ms	(+ x (sin y))
0.0ms	(fma (cos y) z (+ x (sin y)))

series64.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ x (sin y))
41.0ms	(fma (cos y) z (+ x (sin y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	98	137
1	220	120
2	612	120
3	2378	120
4	5001	120

prune84.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite15.0ms

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:

11.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series724.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
167.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
205.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
167.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	349	1228
1	1568	1141
2	5001	1051

prune290.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series738.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
221.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
169.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
170.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify86.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	181	796
1	638	744
2	3397	708
3	5002	704

prune296.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
4.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series688.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
171.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
171.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
169.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify97.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	181	796
1	638	744
2	3397	708
3	5002	704

prune360.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes130.0ms

Accuracy

0% (0.0b 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	8	4
1	8	4

end0.0ms

sample1.3s

Algorithm

intervals

Results

402.0ms	995×	body	1280	valid
299.0ms	5555×	body	80	valid
210.0ms	848×	body	640	valid
70.0ms	393×	body	320	valid
25.0ms	209×	body	160	valid