Details

sample150.0ms

Algorithm

intervals

Results

53.0ms	656×	body	80	nan
34.0ms	591×	body	80	valid

simplify3.1s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

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)))

rewrite220.0ms

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:

16.0ms	(/ (* t t) 2.0)
138.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
7.0ms	(exp (/ (* t t) 2.0))
56.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series452.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (* t t) 2.0)
225.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
35.0ms	(exp (/ (* t t) 2.0))
147.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.3s

Counts

97 → 97

Iterations

Useful iterations: done (1.3s)

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

prune384.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

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)))

rewrite180.0ms

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))
120.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
46.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series390.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(pow (exp t) (/ t 2.0))
217.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
119.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify1.2s

Counts

92 → 92

Iterations

Useful iterations: done (1.2s)

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

prune405.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow-unpow`
35×	`add-sqr-sqrt`
33×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
12×	`pow-pow`
9×	`pow1` `unpow-prod-down` `exp-prod`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `associate-l` `pow-exp` `div-inv` `sqr-pow`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `sqrt-prod` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

12.0ms	(pow (exp t) (/ t 2.0))
13.0ms	(pow (exp t) (/ t 2.0))
22.0ms	(pow (exp t) (/ t 2.0))
48.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(pow (exp t) (/ t 2.0))
57.0ms	(pow (exp t) (/ t 2.0))
67.0ms	(pow (exp t) (/ t 2.0))
147.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify2.7s

Counts

131 → 131

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	141	1296
1	345	1196
2	977	1139
3	3084	1135
done	5000	1134

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
26×	`pow-unpow`
18×	`times-frac`
13×	`pow1`
12×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
8×	`pow-pow`
7×	`sqrt-prod`
6×	`unpow-prod-down` `exp-prod` `associate-*l/`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `flip3--` `pow-exp` `*-commutative` `flip--` `div-inv` `unswap-sqr` `sqr-pow`

Counts

4 → 115

Calls

4 calls:

9.0ms	(pow (exp t) (/ t 2.0))
6.0ms	(pow (exp t) (/ t 2.0))
33.0ms	(* (- (* x 0.5) y) (sqrt z))
79.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series478.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(pow (exp t) (/ t 2.0))
62.0ms	(pow (exp t) (/ t 2.0))
116.0ms	(* (- (* x 0.5) y) (sqrt z))
212.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify3.8s

Counts

127 → 127

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	173	1388
1	426	1274
2	1274	1178
3	4562	1170
done	5000	1170

prune755.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes683.0ms

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	18	34
1	23	34
done	23	34

end0.0ms

sample7.1s

Algorithm

intervals

Results

2.9s	17840×	body	80	nan
2.0s	17940×	body	80	valid