Details

sample37.0ms

Algorithm

intervals

Results

14.0ms

272×

body

valid

simplify2.7s

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.9b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- t a))
0.3b	(fma y x (* z (- t a)))
22.2b	(/ (fma y x (* z (- t a))) (fma z (- b y) y))

rewrite33.0ms

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:

18.0ms	(* z (- t a))
0.0ms	(fma y x (* z (- t a)))
7.0ms	(/ (fma y x (* z (- t a))) (fma z (- b y) y))

series811.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* z (- t a))
102.0ms	(fma y x (* z (- t a)))
655.0ms	(/ (fma y x (* z (- t a))) (fma z (- b y) y))

simplify894.0ms

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1108
1	337
0	164

prune646.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 22.3b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- t a) z)
0.3b	(fma y x (* (- t a) z))
22.2b	(/ (fma y x (* (- t a) z)) (fma z (- b y) y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-l`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`associate-*l/`
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 → 63

Calls

3 calls:

17.0ms	(* (- t a) z)
0.0ms	(fma y x (* (- t a) z))
4.0ms	(/ (fma y x (* (- t a) z)) (fma z (- b y) y))

series482.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* (- t a) z)
54.0ms	(fma y x (* (- t a) z))
393.0ms	(/ (fma y x (* (- t a) z)) (fma z (- b y) y))

simplify954.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
2	760
1	216
0	112

prune551.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 22.3b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t a) z)
0.3b	(fma y x (* (- t a) z))
0.4b	(/ 1 (fma z (- b y) y))
22.2b	(* (fma y x (* (- t a) z)) (/ 1 (fma z (- b y) y)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
16×	`associate-r`
13×	`add-cbrt-cube`
9×	`pow1`
8×	`associate-l`
5×	`prod-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `flip3--` `associate-*r/` `un-div-inv` `fma-udef` `pow-flip` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

24.0ms	(* (- t a) z)
0.0ms	(fma y x (* (- t a) z))
6.0ms	(/ 1 (fma z (- b y) y))
21.0ms	(* (fma y x (* (- t a) z)) (/ 1 (fma z (- b y) y)))

series554.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- t a) z)
64.0ms	(fma y x (* (- t a) z))
67.0ms	(/ 1 (fma z (- b y) y))
378.0ms	(* (fma y x (* (- t a) z)) (/ 1 (fma z (- b y) y)))

simplify2.2s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	1982
1	323
0	149

prune808.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 22.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t a) z)
0.3b	(fma y x (* (- t a) z))
0.4b	(/ 1 (/ (fma z (- b y) y) (fma y x (* (- t a) z))))
22.2b	(/ (fma z (- b y) y) (fma y x (* (- t a) z)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
60×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
56×	`add-cube-cbrt`
19×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*`
5×	`associate-l`
4×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u` `add-log-exp`
3×	`associate-r`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `fma-udef` `pow-flip` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

25.0ms	(* (- t a) z)
0.0ms	(fma y x (* (- t a) z))
9.0ms	(/ 1 (/ (fma z (- b y) y) (fma y x (* (- t a) z))))
6.0ms	(/ (fma z (- b y) y) (fma y x (* (- t a) z)))

series876.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- t a) z)
82.0ms	(fma y x (* (- t a) z))
622.0ms	(/ 1 (/ (fma z (- b y) y) (fma y x (* (- t a) z))))
127.0ms	(/ (fma z (- b y) y) (fma y x (* (- t a) z)))

simplify1.5s

Counts

153 → 153

Iterations

Iter	Nodes
done	5002
2	2194
1	483
0	213

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 8.3b

regimes1.2s

Accuracy

32.8% (8.2b remaining)

Error of 19.1b against oracle of 10.8b and baseline of 23.1b

bsearch123.0ms

Steps

Iters	Range		Point
6	1.770057870633885e+84	1.5192017912580791e+85	1.500183368090721e+85
8	-2.8861031894113186e+168	-3.35691658268957e+164	-4.812224200595294e+164

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	21

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s

8417×

body

valid