Details

sample179.0ms

Algorithm

intervals

Results

61.0ms	588×	body	80	valid
42.0ms	610×	body	80	nan

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	25	17
2	41	17
3	88	17
4	161	17
5	265	17
6	587	17
7	1717	17
done	5001	17

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
7×	`exp-prod` `associate-r`
6×	`associate-*l/`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac`
2×	`flip3--` `*-commutative` `flip--`
1×	`sqrt-prod` `div-inv` `rem-exp-log` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

164.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
16.0ms	(exp (/ (* t t) 2.0))
61.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series421.0ms

Counts

3 → 9

Calls

3 calls:

226.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
35.0ms	(exp (/ (* t t) 2.0))
159.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify3.2s

Counts

65 → 65

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	148	1024
1	365	970
2	1162	839
3	4515	815
done	5000	815

prune317.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (exp t) (/ t 2.0))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
11×	`associate-r`
10×	`prod-exp` `add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `unpow-prod-down` `associate-*l/`
4×	`pow-pow` `associate-l` `cbrt-unprod`
3×	`pow-to-exp` `exp-prod` `pow-exp` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

10.0ms	(pow (exp t) (/ t 2.0))
149.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
41.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series496.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(pow (exp t) (/ t 2.0))
279.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
152.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.0s

Counts

86 → 86

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	186	1303
1	482	1202
2	1546	1087
done	5001	1063

prune414.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

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×	`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 t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1000.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(* (cbrt t) (cbrt t))
273.0ms	(cbrt t)
256.0ms	(cbrt t)
232.0ms	(cbrt t)

simplify4.3s

Counts

85 → 85

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune449.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* t t) 2.0))
0.0b	(exp (/ (* t t) 2.0))
0.0b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

21×	`exp-prod`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-r`
3×	`associate-l` `div-inv` `rem-exp-log`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `sqrt-prod` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

6.0ms	(exp (/ (* t t) 2.0))
6.0ms	(exp (/ (* t t) 2.0))
9.0ms	(exp (/ (* t t) 2.0))
84.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series231.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(exp (/ (* t t) 2.0))
28.0ms	(exp (/ (* t t) 2.0))
35.0ms	(exp (/ (* t t) 2.0))
146.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts

78 → 78

Iterations

Useful iterations: 3 (592.0ms)

Iter	Nodes	Cost
0	107	752
1	235	715
2	662	647
3	2102	643
done	5000	643

prune447.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes869.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	24
1	23	24
done	23	24

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.1s	18324×	body	80	nan
2.1s	18280×	body	80	valid