Details

sample133.0ms

Algorithm

intervals

Results

66.0ms	35×	body	640	valid
17.0ms	31×	body	1280	valid
15.0ms	171×	body	80	valid
8.0ms	30×	body	320	valid
2.0ms	10×	body	160	valid

simplify64.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	24	8
3	48	8
4	71	8
5	79	8
done	79	8

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
2.4b	(/ (* x (/ (sin y) y)) z)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

23.0ms	(* x (/ (sin y) y))
8.0ms	(/ (sin y) y)
14.0ms	(/ (* x (/ (sin y) y)) z)

series228.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* x (/ (sin y) y))
39.0ms	(/ (sin y) y)
116.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.5s

Counts

92 → 92

Iterations

Useful iterations: 2 (191.0ms)

Iter	Nodes	Cost
0	139	893
1	316	857
2	1016	741
3	4714	741
done	5000	741

prune305.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.5b	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

152×	`times-frac`
110×	`add-sqr-sqrt`
82×	`associate-r`
78×	`add-cube-cbrt` `*-un-lft-identity`
52×	`cbrt-prod`
40×	`add-exp-log`
28×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
12×	`prod-exp` `cbrt-unprod`
10×	`unswap-sqr`
8×	`div-inv`
7×	`associate-l`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 162

Calls

4 calls:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)
98.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series977.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt z)
281.0ms	(cbrt z)
276.0ms	(cbrt z)
169.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify2.8s

Counts

174 → 174

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	306	2938
1	951	2772
2	4011	2198
done	5000	2080

prune899.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
2.4b	(/ (* x (/ (sin y) y)) z)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

18.0ms	(* x (/ (sin y) y))
9.0ms	(/ (sin y) y)
14.0ms	(/ (* x (/ (sin y) y)) z)

series226.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* x (/ (sin y) y))
56.0ms	(/ (sin y) y)
94.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.7s

Counts

92 → 92

Iterations

Useful iterations: 2 (267.0ms)

Iter	Nodes	Cost
0	139	893
1	316	857
2	1016	741
3	4714	741
done	5000	741

prune322.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)
2.6b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
22×	`prod-exp`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv`
4×	`associate-r/` `associate-l*` `pow-prod-down`
3×	`rec-exp` `1-exp` `associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `un-div-inv`

Counts

3 → 105

Calls

3 calls:

14.0ms	(* x (/ (sin y) y))
16.0ms	(/ (sin y) y)
50.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series250.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* x (/ (sin y) y))
47.0ms	(/ (sin y) y)
115.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify2.6s

Counts

114 → 114

Iterations

Useful iterations: 2 (297.0ms)

Iter	Nodes	Cost
0	179	1274
1	431	1115
2	1374	925
done	5000	925

prune349.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes381.0ms

Accuracy

83.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	42
1	22	35
done	22	35

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	5872×	body	80	valid
546.0ms	997×	body	1280	valid
350.0ms	989×	body	640	valid
223.0ms	536×	body	320	valid
52.0ms	305×	body	160	valid