Details

sample151.0ms

Algorithm

intervals

Results

62.0ms	621×	body	80	nan
44.0ms	600×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1375
6	508
5	273
4	176
3	91
2	40
1	25
0	15

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b	(/ (* t t) 2.0)
0.0b	(exp (/ (* t t) 2.0))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
7×	`exp-prod` `associate-r`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-l` `pow-prod-down` `insert-posit16`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `div-inv` `flip--`
1×	`clear-num` `frac-2neg` `sqrt-prod` `associate-/l*` `unswap-sqr` `rem-exp-log`

Counts

4 → 81

Calls

4 calls:

122.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
9.0ms	(/ (* t t) 2.0)
3.0ms	(exp (/ (* t t) 2.0))
36.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
31.0ms	(/ (* t t) 2.0)
29.0ms	(exp (/ (* t t) 2.0))
116.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1534
1	482
0	178

prune569.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
0.0b	(pow (exp t) (/ t 2.0))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
13×	`pow-unpow`
11×	`associate-r`
10×	`add-cbrt-cube` `prod-exp`
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` `insert-posit16` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

3 → 80

Calls

3 calls:

97.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
7.0ms	(pow (exp t) (/ t 2.0))
54.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series425.0ms

Counts

3 → 9

Calls

3 calls:

212.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
82.0ms	(pow (exp t) (/ t 2.0))
131.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	1571
1	532
0	188

prune513.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp t) (/ t 2.0))
0.0b	(pow (exp t) (/ t 2.0))
0.0b	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite396.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `add-cube-cbrt`
26×	`pow-unpow`
18×	`times-frac`
17×	`pow1`
15×	`add-cbrt-cube` `add-exp-log`
14×	`associate-r`
9×	`unpow-prod-down`
8×	`pow-pow` `associate-*l/` `sqrt-prod`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`exp-prod`
4×	`associate-l` `insert-posit16` `add-log-exp`
3×	`sqr-pow`
2×	`pow-to-exp` `flip3--` `pow-exp` `*-commutative` `div-inv` `flip--`
1×	`unswap-sqr`

Counts

4 → 115

Calls

4 calls:

4.0ms	(pow (exp t) (/ t 2.0))
4.0ms	(pow (exp t) (/ t 2.0))
347.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
39.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series488.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(pow (exp t) (/ t 2.0))
74.0ms	(pow (exp t) (/ t 2.0))
222.0ms	(* (* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (sqrt (pow (exp t) (/ t 2.0)))) (sqrt (pow (exp t) (/ t 2.0))))
120.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.9s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	1967
1	593
0	209

prune931.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt t) (cbrt t))
0.7b	(cbrt t)
0.7b	(cbrt t)
0.7b	(cbrt t)

rewrite11.0ms

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` `insert-posit16` `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 → 77

Calls

4 calls:

8.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt t) (cbrt t))
311.0ms	(cbrt t)
287.0ms	(cbrt t)
269.0ms	(cbrt t)

simplify2.9s

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
4	3832
3	1045
2	380
1	138
0	63

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	29
1	29
0	23

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.3s	17900×	body	80	valid
2.1s	17614×	body	80	nan