Details

sample91.0ms

Algorithm

intervals

Results

25.0ms	27×	body	1280	valid
23.0ms	177×	body	80	valid
16.0ms	26×	body	640	valid
6.0ms	14×	body	320	valid
4.0ms	12×	body	160	valid

simplify302.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	40	9
4	56	9
5	67	9
6	81	9
7	98	9
8	126	9
9	145	9
10	158	9
11	179	9
done	179	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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))

rewrite113.0ms

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:

14.0ms	(+ x (cos y))
77.0ms	(- (+ x (cos y)) (* z (sin y)))
19.0ms	(* z (sin y))

series151.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ x (cos y))
71.0ms	(- (+ x (cos y)) (* z (sin y)))
43.0ms	(* z (sin y))

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	96	633
1	224	600
2	589	552
3	2027	540
done	5002	513

prune284.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

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

series124.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (cos y) x)
84.0ms	(fma (sin y) (- z) (+ (cos y) x))

simplify2.3s

Counts

33 → 33

Iterations

Useful iterations: 3 (164.0ms)

Iter	Nodes	Cost
0	51	274
1	112	270
2	255	244
3	699	241
4	2798	241
done	5000	241

prune130.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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)

rewrite23.0ms

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:

17.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

283.0ms	(* (cbrt z) (cbrt z))
246.0ms	(cbrt z)
238.0ms	(cbrt z)
271.0ms	(cbrt z)

simplify4.5s

Counts

93 → 93

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune375.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.0b	(cbrt (* z (sin y)))
7.0b	(cbrt (* z (sin y)))
7.0b	(cbrt (* z (sin y)))

rewrite52.0ms

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:

27.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.0ms	(cbrt (* z (sin y)))
7.0ms	(cbrt (* z (sin y)))
11.0ms	(cbrt (* z (sin y)))

series583.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
128.0ms	(cbrt (* z (sin y)))
133.0ms	(cbrt (* z (sin y)))
129.0ms	(cbrt (* z (sin y)))

simplify3.0s

Counts

78 → 78

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	91	850
1	194	773
2	478	689
3	1256	593
4	3964	531
done	5000	494

prune317.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	9	9
done	9	9

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s	1000×	body	1280	valid
781.0ms	5558×	body	80	valid
409.0ms	814×	body	640	valid
226.0ms	398×	body	320	valid
52.0ms	230×	body	160	valid