Details

sample159.0ms

Algorithm

intervals

Results

48.0ms	583×	body	80	nan
42.0ms	585×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2095
6	679
5	324
4	182
3	88
2	41
1	25
0	15

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

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)))
0.1b	(exp (/ (* t t) 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite216.0ms

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`
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 → 77

Calls

4 calls:

15.0ms	(/ (* t t) 2.0)
141.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
4.0ms	(exp (/ (* t t) 2.0))
52.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series471.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (* t t) 2.0)
221.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
37.0ms	(exp (/ (* t t) 2.0))
157.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	2643
1	479
0	174

prune628.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

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))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite189.0ms

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` `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:

119.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
5.0ms	(pow (exp t) (/ t 2.0))
60.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series464.0ms

Counts

3 → 9

Calls

3 calls:

256.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
61.0ms	(pow (exp t) (/ t 2.0))
147.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.5s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	2540
1	540
0	185

prune664.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

85.0ms	(* (pow (exp t) (/ t 2.0)) (* (- (* x 0.5) y) (sqrt (* z 2.0))))
10.0ms	(pow (exp t) (/ t 2.0))
60.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series495.0ms

Counts

3 → 9

Calls

3 calls:

264.0ms	(* (pow (exp t) (/ t 2.0)) (* (- (* x 0.5) y) (sqrt (* z 2.0))))
91.0ms	(pow (exp t) (/ t 2.0))
139.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.1s

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
2	2131
1	529
0	183

prune643.0ms

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

rewrite362.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

204.0ms	(* (pow (exp t) (/ t 2.0)) (* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0)))
9.0ms	(pow (exp t) (/ t 2.0))
50.0ms	(* (sqrt z) (- (* x 0.5) y))
93.0ms	(* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0))

series866.0ms

Counts

4 → 12

Calls

4 calls:

407.0ms	(* (pow (exp t) (/ t 2.0)) (* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0)))
72.0ms	(pow (exp t) (/ t 2.0))
118.0ms	(* (sqrt z) (- (* x 0.5) y))
269.0ms	(* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0))

simplify1.8s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	3120
1	690
0	234

prune812.0ms

Pruning

11 alts after pruning (9 fresh and 2 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

simplify2.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.5s	17999×	body	80	nan
2.1s	17918×	body	80	valid