Details

sample179.0ms

Algorithm

intervals

Results

61.0ms	588×	body	80	valid
46.0ms	610×	body	80	nan

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	26	17
2	43	17
3	92	17
4	183	17
5	315	17
6	659	17
7	1863	17
done	5000	17

prune3.0ms

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)))

rewrite173.0ms

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×	`expm1-log1p-u` `times-frac` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`sqrt-prod` `div-inv` `rem-exp-log` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

113.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
8.0ms	(exp (/ (* t t) 2.0))
51.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series397.0ms

Counts

3 → 9

Calls

3 calls:

250.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
25.0ms	(exp (/ (* t t) 2.0))
122.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify4.0s

Counts

71 → 71

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	154	1096
1	383	1040
2	1215	907
3	4815	880
done	5000	879

prune325.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite149.0ms

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×	`expm1-log1p-u` `pow-to-exp` `exp-prod` `pow-exp` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

6.0ms	(pow (exp t) (/ t 2.0))
101.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
39.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series360.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(pow (exp t) (/ t 2.0))
197.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
111.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.2s

Counts

92 → 92

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	192	1375
1	500	1272
2	1595	1148
done	5000	1124

prune470.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
10×	`associate-l` `prod-exp` `add-cbrt-cube`
9×	`times-frac`
7×	`unpow-prod-down`
6×	`pow1`
5×	`associate-r`
4×	`pow-pow` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-to-exp` `exp-prod` `pow-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr` `sqr-pow`
2×	`associate-l/` `-commutative`
1×	`flip3--` `pow-prod-down` `sqrt-prod` `flip--` `div-inv`

Counts

3 → 83

Calls

3 calls:

29.0ms	(* (pow (exp t) (/ t 2.0)) (sqrt (* z 2.0)))
6.0ms	(pow (exp t) (/ t 2.0))
125.0ms	(* (- (* x 0.5) y) (* (pow (exp t) (/ t 2.0)) (sqrt (* z 2.0))))

series566.0ms

Counts

3 → 9

Calls

3 calls:

175.0ms	(* (pow (exp t) (/ t 2.0)) (sqrt (* z 2.0)))
88.0ms	(pow (exp t) (/ t 2.0))
304.0ms	(* (- (* x 0.5) y) (* (pow (exp t) (/ t 2.0)) (sqrt (* z 2.0))))

simplify1.1s

Counts

92 → 92

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	203	1456
1	539	1343
2	1700	1231
done	5001	1192

prune390.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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)

rewrite20.0ms

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:

14.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.0s

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt t) (cbrt t))
262.0ms	(cbrt t)
266.0ms	(cbrt t)
242.0ms	(cbrt t)

simplify4.3s

Counts

93 → 93

Iterations

Useful iterations: done (4.2s)

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

prune476.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes623.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b 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

sample6.5s

Algorithm

intervals

Results

2.2s	18280×	body	80	valid
2.2s	18324×	body	80	nan