Details

sample177.0ms

Algorithm

intervals

Results

67.0ms	578×	body	80	valid
41.0ms	585×	body	80	nan

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	25	17
2	41	17
3	88	17
4	182	17
5	328	17
6	691	17
7	2121	17
done	5001	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite206.0ms

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:

6.0ms	(exp (/ (* t t) 2.0))
14.0ms	(/ (* t t) 2.0)
140.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
42.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series418.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(exp (/ (* t t) 2.0))
40.0ms	(/ (* t t) 2.0)
215.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
132.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.8s

Counts

89 → 89

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	175	1210
1	478	1155
2	2645	1000
done	5001	992

prune392.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite183.0ms

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:

6.0ms	(pow (exp t) (/ t 2.0))
112.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
62.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series443.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(pow (exp t) (/ t 2.0))
250.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
127.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.7s

Counts

86 → 86

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	186	1303
1	539	1208
2	2465	1093
done	5001	1087

prune400.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite196.0ms

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-l`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-r` `pow-prod-down`
3×	`associate-/r*`
2×	`cbrt-undiv` `div-exp` `associate-l/` `-commutative` `div-inv`
1×	`flip3--` `frac-2neg` `clear-num` `sqrt-prod` `flip--` `rem-exp-log` `associate-/l*` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

5.0ms	(exp (/ (* t t) 2.0))
10.0ms	(/ (* t t) 2.0)
34.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
144.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series393.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(exp (/ (* t t) 2.0))
35.0ms	(/ (* t t) 2.0)
127.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
201.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify1.6s

Counts

87 → 87

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	184	1264
1	513	1220
2	2658	1044
done	5001	1034

prune341.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite282.0ms

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`
16×	`associate-r`
13×	`pow-unpow`
12×	`pow1`
10×	`cbrt-unprod`
9×	`times-frac`
8×	`associate-l`
7×	`sqrt-prod`
6×	`unpow-prod-down` `associate-r/` `associate-l/`
4×	`pow-to-exp` `pow-pow` `pow-prod-down` `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:

6.0ms	(pow (exp t) (/ t 2.0))
179.0ms	(* (* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
33.0ms	(* (sqrt z) (- (* x 0.5) y))
60.0ms	(* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0))

series644.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(pow (exp t) (/ t 2.0))
233.0ms	(* (* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
92.0ms	(* (sqrt z) (- (* x 0.5) y))
267.0ms	(* (* (sqrt z) (- (* x 0.5) y)) (sqrt 2.0))

simplify3.2s

Counts

123 → 123

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	238	1941
1	699	1800
2	3787	1602
done	5001	1588

prune455.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes633.0ms

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

sample6.4s

Algorithm

intervals

Results

2.2s	18318×	body	80	nan
2.2s	18174×	body	80	valid