Details

sample186.0ms

Algorithm

intervals

Results

69.0ms	564×	body	80	valid
42.0ms	510×	body	80	nan

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	26	17
2	43	17
3	92	17
4	183	17
5	315	17
6	659	17
7	1863	17
done	5000	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize25.0ms

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)))

rewrite259.0ms

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×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u`
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 → 85

Calls

4 calls:

21.0ms	(/ (* t t) 2.0)
171.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
5.0ms	(exp (/ (* t t) 2.0))
58.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (* t t) 2.0)
266.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
21.0ms	(exp (/ (* t t) 2.0))
176.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.4s

Counts

97 → 97

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	183	1294
1	456	1223
2	1472	1068
done	5000	1041

prune425.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite182.0ms

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×	`expm1-log1p-u` `pow-to-exp` `exp-prod` `pow-exp` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

10.0ms	(pow (exp t) (/ t 2.0))
115.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
52.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series472.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(pow (exp t) (/ t 2.0))
256.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
143.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.1s

Counts

92 → 92

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	192	1375
1	500	1272
2	1595	1148
done	5000	1124

prune388.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp t) (/ (/ t 2.0) 2))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
0.0b	(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
65×	`add-sqr-sqrt`
58×	`prod-exp`
56×	`add-exp-log`
51×	`add-cube-cbrt` `*-un-lft-identity`
43×	`pow-unpow`
21×	`unpow-prod-down`
20×	`add-cbrt-cube`
19×	`pow-to-exp` `pow-exp`
12×	`pow1` `associate-r`
11×	`associate-l` `sqr-pow`
10×	`cbrt-unprod` `unswap-sqr`
7×	`swap-sqr`
6×	`associate-*l/`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`exp-prod` `*-commutative`
2×	`flip3--` `flip--`
1×	`pow2` `sqrt-prod` `pow-sqr` `pow-prod-up`

Counts

4 → 179

Calls

4 calls:

10.0ms	(pow (exp t) (/ (/ t 2.0) 2))
201.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
32.0ms	(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
62.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(pow (exp t) (/ (/ t 2.0) 2))
248.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
97.0ms	(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
126.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.3s

Counts

191 → 191

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	331	4041
1	839	2840
2	2660	2543
done	5002	2468

prune918.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (exp (+ t t)) (/ (/ t 2.0) 2))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (+ t t)) (/ (/ t 2.0) 2)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
50×	`add-sqr-sqrt` `*-un-lft-identity`
48×	`add-cube-cbrt`
43×	`pow-unpow`
16×	`add-exp-log`
13×	`pow-pow`
12×	`exp-prod` `associate-r`
10×	`prod-exp` `add-cbrt-cube`
8×	`unpow-prod-down`
6×	`pow1` `associate-*l/`
4×	`associate-l` `cbrt-unprod` `div-inv`
3×	`expm1-log1p-u` `pow-to-exp` `distribute-rgt-out` `pow-exp` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`flip3--` `exp-sum` `*-commutative` `flip--` `sqr-pow`
1×	`distribute-lft1-in` `count-2` `pow-prod-down` `distribute-rgt1-in` `sqrt-prod` `unswap-sqr`

Counts

3 → 124

Calls

3 calls:

31.0ms	(pow (exp (+ t t)) (/ (/ t 2.0) 2))
173.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (+ t t)) (/ (/ t 2.0) 2)))
87.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series554.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(pow (exp (+ t t)) (/ (/ t 2.0) 2))
300.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp (+ t t)) (/ (/ t 2.0) 2)))
170.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.7s

Counts

133 → 133

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	282	2223
1	767	2029
2	2366	1899
done	5001	1824

prune728.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes947.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	21
1	22	21
done	22	21

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.7s	17920×	body	80	nan
1.8s	17760×	body	80	valid