Details

sample49.0ms

Algorithm

intervals

Results

12.0ms	188×	body	80	valid
11.0ms	25×	body	1280	valid
8.0ms	26×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	1×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	8
3	28	8
done	28	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

40.0ms	(+ (+ x (sin y)) (* z (cos y)))
26.0ms	(* z (cos y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (+ x (sin y)) (* z (cos y)))
45.0ms	(* z (cos y))

simplify758.0ms

Counts

45 → 45

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	66	379
1	166	359
2	688	317
done	5000	317

prune172.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(* (cbrt (cos y)) (cbrt (cos y)))

rewrite22.0ms

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:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
16.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

series640.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(cbrt (cos y))
144.0ms	(cbrt (cos y))
116.0ms	(cbrt (cos y))
217.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	68	726
1	152	651
2	643	551
done	5001	537

prune335.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
0.3b	(cbrt (cbrt (cos y)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

29×	`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 → 82

Calls

4 calls:

2.0ms	(cbrt (cos y))
29.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
7.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
3.0ms	(cbrt (cbrt (cos y)))

series651.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (cos y))
207.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
146.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
156.0ms	(cbrt (cbrt (cos y)))

simplify1.2s

Counts

94 → 94

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	102	822
1	207	750
2	825	611
done	5000	597

prune456.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

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:

74.0ms	(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
8.0ms	(cbrt (+ x (sin y)))
8.0ms	(cbrt (+ x (sin y)))
8.0ms	(cbrt (+ x (sin y)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
72.0ms	(cbrt (+ x (sin y)))
97.0ms	(cbrt (+ x (sin y)))
77.0ms	(cbrt (+ x (sin y)))

simplify898.0ms

Counts

115 → 115

Iterations

Useful iterations: done (893.0ms)

Iter	Nodes	Cost
0	153	1794
1	386	1632
2	1568	1557
done	5000	1464

prune622.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	15	18
done	15	18

end0.0ms

sample2.8s

Algorithm

intervals

Results

956.0ms	5590×	body	80	valid
845.0ms	985×	body	1280	valid
470.0ms	838×	body	640	valid
107.0ms	371×	body	320	valid
42.0ms	216×	body	160	valid