Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	26×	body	1280	valid
9.0ms	38×	body	640	valid
8.0ms	170×	body	80	valid
2.0ms	10×	body	320	valid
1.0ms	12×	body	160	valid

simplify27.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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))

series90.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (+ x (cos y)) (* z (sin y)))
44.0ms	(* z (sin y))

simplify86.0ms

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

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.2b	(cbrt (* z (sin y)))
7.2b	(cbrt (* z (sin y)))
7.2b	(cbrt (* z (sin y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

6.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
2.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
120.0ms	(cbrt (* z (sin y)))
125.0ms	(cbrt (* z (sin y)))
117.0ms	(cbrt (* z (sin y)))

simplify89.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	195	499
1	648	448
2	3129	396
3	5002	368

prune251.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
7.2b	(cbrt (* z (sin y)))
7.2b	(cbrt (* z (sin y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`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 → 48

Calls

4 calls:

0.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt z)
93.0ms	(cbrt (sin y))
115.0ms	(cbrt (* z (sin y)))
120.0ms	(cbrt (* z (sin y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	164	272
1	354	250
2	1116	232
3	5001	220

prune233.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))
0.4b	(cbrt (+ x (cos y)))
0.4b	(cbrt (+ x (cos y)))
0.4b	(cbrt (+ x (cos y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

22.0ms	(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))
2.0ms	(cbrt (+ x (cos y)))
2.0ms	(cbrt (+ x (cos y)))
2.0ms	(cbrt (+ x (cos y)))

series282.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))
72.0ms	(cbrt (+ x (cos y)))
73.0ms	(cbrt (+ x (cos y)))
70.0ms	(cbrt (+ x (cos y)))

simplify161.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	297	1027
1	1042	964
2	4950	897
3	5001	897

prune357.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	15
1	19	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

403.0ms	989×	body	1280	valid
283.0ms	5550×	body	80	valid
217.0ms	863×	body	640	valid
70.0ms	397×	body	320	valid
23.0ms	201×	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