Details

sample167.0ms

Algorithm

intervals

Results

88.0ms

597×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2726
4	907
3	333
2	110
1	47
0	23

prune70.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.2b

localize110.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* z y) (* t a))
3.7b	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
4.1b	(fma (- (* a c) (* i y)) j (fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x)))
5.4b	(* (- (* z y) (* t a)) x)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-r` `associate-l`
2×	`flip3--` `associate-*l/` `fma-udef` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

24.0ms	(- (* z y) (* t a))
1.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
1.0ms	(fma (- (* a c) (* i y)) j (fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x)))
46.0ms	(* (- (* z y) (* t a)) x)

series1.8s

Counts

4 → 12

Calls

4 calls:

90.0ms	(- (* z y) (* t a))
512.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
1.1s	(fma (- (* a c) (* i y)) j (fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x)))
136.0ms	(* (- (* z y) (* t a)) x)

simplify5.4s

Counts

74 → 74

Iterations

Iter	Nodes
done	5020
3	2647
2	701
1	252
0	114

prune2.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.9b

localize152.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* z y) (* t a))
3.7b	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
5.2b	(* (- (* a c) (* i y)) j)
5.4b	(* (- (* z y) (* t a)) x)

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `fma-udef`

Counts

4 → 74

Calls

4 calls:

11.0ms	(- (* z y) (* t a))
1.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
60.0ms	(* (- (* a c) (* i y)) j)
52.0ms	(* (- (* z y) (* t a)) x)

series817.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (* z y) (* t a))
474.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
123.0ms	(* (- (* a c) (* i y)) j)
142.0ms	(* (- (* z y) (* t a)) x)

simplify7.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	4270
2	1058
1	342
0	141

prune2.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.8b

localize167.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (* (- (* a c) (* i y)) (* (cbrt j) (cbrt j))) (cbrt j))
3.7b	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
4.2b	(* (- (* a c) (* i y)) (* (cbrt j) (cbrt j)))
5.4b	(* (- (* z y) (* t a)) x)

rewrite362.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log`
13×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
10×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-*l/`
7×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`fma-udef`

Counts

4 → 87

Calls

4 calls:

215.0ms	(* (* (- (* a c) (* i y)) (* (cbrt j) (cbrt j))) (cbrt j))
1.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
84.0ms	(* (- (* a c) (* i y)) (* (cbrt j) (cbrt j)))
52.0ms	(* (- (* z y) (* t a)) x)

series1.4s

Counts

4 → 12

Calls

4 calls:

223.0ms	(* (* (- (* a c) (* i y)) (* (cbrt j) (cbrt j))) (cbrt j))
507.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
497.0ms	(* (- (* a c) (* i y)) (* (cbrt j) (cbrt j)))
152.0ms	(* (- (* z y) (* t a)) x)

simplify3.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1523
1	462
0	174

prune2.8s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.8b

localize172.0ms

Local error

Found 4 expressions with local error:

5.4b	(* (- (* z y) (* t a)) x)
7.0b	(cbrt (- (* a c) (* i y)))
7.0b	(cbrt (- (* a c) (* i y)))
7.0b	(cbrt (- (* a c) (* i y)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-div` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

66.0ms	(* (- (* z y) (* t a)) x)
18.0ms	(cbrt (- (* a c) (* i y)))
17.0ms	(cbrt (- (* a c) (* i y)))
17.0ms	(cbrt (- (* a c) (* i y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (- (* z y) (* t a)) x)
356.0ms	(cbrt (- (* a c) (* i y)))
381.0ms	(cbrt (- (* a c) (* i y)))
358.0ms	(cbrt (- (* a c) (* i y)))

simplify6.0s

Counts

83 → 83

Iterations

Iter	Nodes
done	5003
3	3329
2	946
1	316
0	122

prune2.3s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.8b

regimes6.9s

Accuracy

0% (5.2b remaining)

Error of 12.2b against oracle of 7.0b and baseline of 12.2b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	35
1	35
0	25

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.4s

19106×

body

valid