Details

sample83.0ms

Algorithm

intervals

Results

25.0ms	578×	body	80	valid
23.0ms	548×	body	80	nan

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	17
1	25	17
2	40	17
3	78	17
4	135	17
5	235	17
6	550	17
7	1544	17
8	4795	17
done	5000	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
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)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`exp-prod` `associate-r`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-l` `pow-prod-down`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `div-inv`
1×	`frac-2neg` `clear-num` `sqrt-prod` `rem-exp-log` `associate-/l*` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
38.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series317.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* t t) 2.0)
162.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
21.0ms	(exp (/ (* t t) 2.0))
104.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify897.0ms

Counts

89 → 89

Iterations

Useful iterations: done (894.0ms)

Iter	Nodes	Cost
0	175	1210
1	438	1141
2	1479	988
done	5000	964

prune283.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite57.0ms

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:

3.0ms	(pow (exp t) (/ t 2.0))
34.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
15.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series343.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(pow (exp t) (/ t 2.0))
191.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
105.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify938.0ms

Counts

86 → 86

Iterations

Useful iterations: done (935.0ms)

Iter	Nodes	Cost
0	186	1303
1	497	1202
2	1613	1087
done	5000	1063

prune297.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

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×	`pow-to-exp` `exp-prod` `pow-exp` `add-log-exp` `unswap-sqr` `sqr-pow`
2×	`associate-l/` `-commutative`
1×	`flip3--` `pow-prod-down` `sqrt-prod` `flip--` `div-inv`

Counts

3 → 77

Calls

3 calls:

3.0ms	(pow (exp t) (/ t 2.0))
11.0ms	(* (pow (exp t) (/ t 2.0)) (sqrt (* z 2.0)))
33.0ms	(* (- (* x 0.5) y) (* (pow (exp t) (/ t 2.0)) (sqrt (* z 2.0))))

series374.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(pow (exp t) (/ t 2.0))
123.0ms	(* (pow (exp t) (/ t 2.0)) (sqrt (* z 2.0)))
205.0ms	(* (- (* x 0.5) y) (* (pow (exp t) (/ t 2.0)) (sqrt (* z 2.0))))

simplify758.0ms

Counts

86 → 86

Iterations

Useful iterations: done (756.0ms)

Iter	Nodes	Cost
0	197	1382
1	528	1280
2	1702	1169
done	5000	1164

prune307.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp t) (/ t 2.0))
0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
24×	`add-sqr-sqrt`
22×	`prod-exp`
20×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
19×	`associate-r`
13×	`pow-unpow`
12×	`pow1` `associate-*l/`
10×	`cbrt-unprod`
9×	`times-frac`
7×	`sqrt-prod`
6×	`unpow-prod-down`
5×	`associate-l`
4×	`pow-to-exp` `pow-pow` `pow-prod-down` `pow-exp` `add-log-exp`
3×	`exp-prod` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr` `sqr-pow`
1×	`div-inv`

Counts

4 → 107

Calls

4 calls:

3.0ms	(pow (exp t) (/ t 2.0))
73.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
13.0ms	(* (- (* x 0.5) y) (sqrt z))
24.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series467.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(pow (exp t) (/ t 2.0))
221.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
62.0ms	(* (- (* x 0.5) y) (sqrt z))
132.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify1.3s

Counts

119 → 119

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	210	1846
1	561	1675
2	1972	1492
done	5000	1486

prune351.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes490.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	19	17
done	19	17

end0.0ms

sample2.6s

Algorithm

intervals

Results

800.0ms	18146×	body	80	valid
788.0ms	18159×	body	80	nan