Details

sample65.0ms

Algorithm

intervals

Results

22.0ms	35×	body	1280	valid
16.0ms	184×	body	80	valid
8.0ms	19×	body	640	valid
3.0ms	10×	body	320	valid
1.0ms	7×	body	160	valid
1.0ms	1×	body	2560	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	20
3	20
2	19
1	13
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

9.0ms	(+ x (sin y))
34.0ms	(+ (+ x (sin y)) (* z (cos y)))
8.0ms	(* z (cos y))

series174.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ x (sin y))
74.0ms	(+ (+ x (sin y)) (* z (cos y)))
54.0ms	(* z (cos y))

simplify1.9s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	2318
2	647
1	204
0	79

prune209.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

17.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series660.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
127.0ms	(cbrt (cos y))
150.0ms	(cbrt (cos y))
152.0ms	(cbrt (cos y))

simplify1.6s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	1140
2	366
1	144
0	64

prune351.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (* (cos y) (cos y)))
0.3b	(cbrt (cos y))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
9×	`associate-r`
8×	`add-cbrt-cube`
7×	`cbrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`swap-sqr` `cos-mult`
2×	`cbrt-div` `pow1/3` `*-commutative`
1×	`pow2` `sqr-cos` `pow-plus` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

38.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
8.0ms	(* (cos y) (cos y))
4.0ms	(cbrt (* (cos y) (cos y)))
1.0ms	(cbrt (cos y))

series377.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
23.0ms	(* (cos y) (cos y))
203.0ms	(cbrt (* (cos y) (cos y)))
112.0ms	(cbrt (cos y))

simplify2.4s

Counts

82 → 82

Iterations

Iter	Nodes
done	5004
3	2989
2	921
1	289
0	110

prune445.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (cos y) (cos y))) (cbrt (cos y)))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (* (cos y) (cos y)))
0.3b	(cbrt (cos y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
13×	`cbrt-prod` `pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
8×	`add-exp-log`
7×	`associate-l`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`pow1/3` `add-log-exp`
3×	`swap-sqr` `pow-prod-down` `cos-mult`
2×	`cbrt-div` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`pow2` `sqr-cos` `pow-plus` `pow3` `associate-*l/` `pow-sqr` `pow-prod-up`

Counts

4 → 76

Calls

4 calls:

15.0ms	(* (cbrt (* (cos y) (cos y))) (cbrt (cos y)))
8.0ms	(* (cos y) (cos y))
4.0ms	(cbrt (* (cos y) (cos y)))
1.0ms	(cbrt (cos y))

series429.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (cbrt (* (cos y) (cos y))) (cbrt (cos y)))
22.0ms	(* (cos y) (cos y))
256.0ms	(cbrt (* (cos y) (cos y)))
143.0ms	(cbrt (cos y))

simplify2.0s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	1903
2	677
1	249
0	105

prune641.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes347.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s	5543×	body	80	valid
808.0ms	1008×	body	1280	valid
536.0ms	807×	body	640	valid
185.0ms	447×	body	320	valid
42.0ms	194×	body	160	valid
1.0ms	1×	body	2560	valid