Details

sample63.0ms

Algorithm

intervals

Results

28.0ms

276×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	1738
8	588
7	279
6	203
5	170
4	125
3	75
2	43
1	24
0	14

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- b y) y)
0.0b	(* z (- t a))
21.3b	(/ (fma y x (* z (- t a))) (fma z (- b y) y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-r`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`sub-neg` `associate-*r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 85

Calls

3 calls:

0.0ms	(fma z (- b y) y)
20.0ms	(* z (- t a))
8.0ms	(/ (fma y x (* z (- t a))) (fma z (- b y) y))

series803.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(fma z (- b y) y)
61.0ms	(* z (- t a))
691.0ms	(/ (fma y x (* z (- t a))) (fma z (- b y) y))

simplify934.0ms

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1103
1	342
0	165

prune661.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 21.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- b y) y)
0.0b	(* z (- t a))
0.4b	(/ 1 (fma z (- b y) y))
21.0b	(* (fma y x (* z (- t a))) (/ 1 (fma z (- b y) y)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
34×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r` `prod-diff`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
6×	`associate-l`
5×	`prod-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `associate-r/` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `sub-neg` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `flip3--` `un-div-inv` `fma-udef` `pow-flip` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 127

Calls

4 calls:

0.0ms	(fma z (- b y) y)
19.0ms	(* z (- t a))
4.0ms	(/ 1 (fma z (- b y) y))
22.0ms	(* (fma y x (* z (- t a))) (/ 1 (fma z (- b y) y)))

series912.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(fma z (- b y) y)
77.0ms	(* z (- t a))
109.0ms	(/ 1 (fma z (- b y) y))
670.0ms	(* (fma y x (* z (- t a))) (/ 1 (fma z (- b y) y)))

simplify1.5s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
2	2028
1	447
0	201

prune814.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 21.3b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
21.3b	(/ (fma y x (+ (* (- (* (cbrt t) (* (cbrt t) (cbrt t))) a) z) (* (fma -1 a a) z))) (fma z (- b y) y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
2.0ms	(cbrt t)
6.0ms	(/ (fma y x (+ (* (- (* (cbrt t) (* (cbrt t) (cbrt t))) a) z) (* (fma -1 a a) z))) (fma z (- b y) y))

series2.8s

Counts

4 → 12

Calls

4 calls:

302.0ms	(cbrt t)
316.0ms	(cbrt t)
289.0ms	(cbrt t)
1.9s	(/ (fma y x (+ (* (- (* (cbrt t) (* (cbrt t) (cbrt t))) a) z) (* (fma -1 a a) z))) (fma z (- b y) y))

simplify1.3s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	1694
2	456
1	161
0	89

prune825.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 21.3b

localize58.0ms

Local error

Found 4 expressions with local error:

13.1b	(cbrt (fma z (- b y) y))
13.1b	(cbrt (fma z (- b y) y))
13.1b	(cbrt (fma z (- b y) y))
21.0b	(* (fma y x (* z (- t a))) (/ (/ 1 (* (cbrt (fma z (- b y) y)) (cbrt (fma z (- b y) y)))) (cbrt (fma z (- b y) y))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

70×	`times-frac`
53×	`add-sqr-sqrt`
46×	`associate-r`
37×	`*-un-lft-identity`
35×	`add-cube-cbrt`
33×	`cbrt-prod`
32×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`div-exp` `prod-exp`
7×	`div-inv` `unswap-sqr`
6×	`pow1`
5×	`cbrt-undiv` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`rec-exp` `1-exp`
1×	`pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 119

Calls

4 calls:

1.0ms	(cbrt (fma z (- b y) y))
1.0ms	(cbrt (fma z (- b y) y))
1.0ms	(cbrt (fma z (- b y) y))
59.0ms	(* (fma y x (* z (- t a))) (/ (/ 1 (* (cbrt (fma z (- b y) y)) (cbrt (fma z (- b y) y)))) (cbrt (fma z (- b y) y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (fma z (- b y) y))
190.0ms	(cbrt (fma z (- b y) y))
245.0ms	(cbrt (fma z (- b y) y))
713.0ms	(* (fma y x (* z (- t a))) (/ (/ 1 (* (cbrt (fma z (- b y) y)) (cbrt (fma z (- b y) y)))) (cbrt (fma z (- b y) y))))

simplify2.1s

Counts

131 → 131

Iterations

Iter	Nodes
done	5002
2	2265
1	573
0	211

prune1.2s

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 21.3b

regimes1.2s

Accuracy

0% (0.6b remaining)

Error of 23.2b against oracle of 22.6b and baseline of 23.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

900.0ms

8404×

body

valid