Details

sample167.0ms

Algorithm

intervals

Results

53.0ms	559×	body	80	nan
43.0ms	582×	body	80	valid

simplify2.6s

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	204	17
5	371	17
6	755	17
7	2305	17
done	5000	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite178.0ms

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:

5.0ms	(exp (/ (* t t) 2.0))
113.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
58.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series380.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(exp (/ (* t t) 2.0))
216.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
136.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify968.0ms

Counts

71 → 71

Iterations

Useful iterations: done (966.0ms)

Iter	Nodes	Cost
0	154	1096
1	391	1046
2	1505	911
done	5000	897

prune290.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (* t t)) (/ 1 2.0))
0.0b	(exp (* t t))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* t t)) (/ 1 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

8.0ms	(pow (exp (* t t)) (/ 1 2.0))
4.0ms	(exp (* t t))
105.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* t t)) (/ 1 2.0)))
39.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(pow (exp (* t t)) (/ 1 2.0))
16.0ms	(exp (* t t))
260.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (* t t)) (/ 1 2.0)))
110.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.1s

Counts

106 → 106

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	202	1587
1	565	1457
2	2714	1292
done	5001	1277

prune531.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (pow (exp t) t) (/ (sqrt 1) 2.0))
0.0b	(pow (exp t) t)
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (pow (exp t) t) (/ (sqrt 1) 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

18.0ms	(pow (pow (exp t) t) (/ (sqrt 1) 2.0))
7.0ms	(pow (exp t) t)
137.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (pow (exp t) t) (/ (sqrt 1) 2.0)))
45.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series624.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(pow (pow (exp t) t) (/ (sqrt 1) 2.0))
44.0ms	(pow (exp t) t)
279.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (pow (exp t) t) (/ (sqrt 1) 2.0)))
124.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.6s

Counts

137 → 137

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	250	2118
1	711	1826
2	3481	1659
done	5000	1636

prune647.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp t) t)
0.0b	(* (* (pow (pow (exp t) t) (/ 1/2 2.0)) (* (sqrt (* z 2.0)) (- (* x 0.5) y))) (pow (pow (exp t) t) (/ (/ (sqrt 1) 2.0) 2)))
0.0b	(* (pow (pow (exp t) t) (/ 1/2 2.0)) (* (sqrt (* z 2.0)) (- (* x 0.5) y)))
0.2b	(* (sqrt (* z 2.0)) (- (* x 0.5) y))

rewrite582.0ms

Algorithm

rewrite-expression-head

Rules

147×	`add-exp-log`
146×	`prod-exp`
93×	`pow-exp`
47×	`pow-to-exp`
25×	`distribute-rgt-in` `distribute-lft-in`
23×	`add-sqr-sqrt` `unpow-prod-down`
21×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
18×	`prod-diff`
16×	`associate-l`
15×	`associate-r`
10×	`associate-*r/` `cbrt-unprod`
7×	`pow1`
6×	`sub-neg`
5×	`sqr-pow`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `exp-prod` `flip3--` `*-commutative` `flip--`
2×	`associate-*l/`
1×	`pow-prod-down` `sqrt-prod` `unswap-sqr`

Counts

4 → 193

Calls

4 calls:

5.0ms	(pow (exp t) t)
399.0ms	(* (* (pow (pow (exp t) t) (/ 1/2 2.0)) (* (sqrt (* z 2.0)) (- (* x 0.5) y))) (pow (pow (exp t) t) (/ (/ (sqrt 1) 2.0) 2)))
125.0ms	(* (pow (pow (exp t) t) (/ 1/2 2.0)) (* (sqrt (* z 2.0)) (- (* x 0.5) y)))
43.0ms	(* (sqrt (* z 2.0)) (- (* x 0.5) y))

series976.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(pow (exp t) t)
373.0ms	(* (* (pow (pow (exp t) t) (/ 1/2 2.0)) (* (sqrt (* z 2.0)) (- (* x 0.5) y))) (pow (pow (exp t) t) (/ (/ (sqrt 1) 2.0) 2)))
350.0ms	(* (pow (pow (exp t) t) (/ 1/2 2.0)) (* (sqrt (* z 2.0)) (- (* x 0.5) y)))
194.0ms	(* (sqrt (* z 2.0)) (- (* x 0.5) y))

simplify627.0ms

Counts

205 → 205

Iterations

Useful iterations: done (617.0ms)

Iter	Nodes	Cost
0	378	5634
1	1136	4950
done	5001	4527

prune805.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	37
1	37	36
2	41	36
3	42	36
done	42	36

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.3s	17980×	body	80	valid
2.2s	18159×	body	80	nan