Details

sample81.0ms

Algorithm

intervals

Results

24.0ms	240×	body	80	valid
3.0ms	13×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	3×	body	1280	valid
1.0ms	8×	body	160	valid

simplify19.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	3929
7	2096
6	996
5	404
4	195
3	103
2	50
1	22
0	11

prune156.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.7b

localize64.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
9.6b	(fma (/ y (- a t)) (- t z) (+ y x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

29.0ms	(/ y (- a t))
6.0ms	(fma (/ y (- a t)) (- t z) (+ y x))

series584.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ y (- a t))
517.0ms	(fma (/ y (- a t)) (- t z) (+ y x))

simplify3.7s

Counts

55 → 55

Iterations

Iter	Nodes
done	5002
3	1537
2	473
1	179
0	93

prune931.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.4b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
3.6b	(+ (* (/ y (- a t)) (- t z)) (+ y x))
12.3b	(* (/ y (- a t)) (- t z))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
47×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
21×	`associate-l`
10×	`add-exp-log` `frac-add` `add-cbrt-cube`
8×	`flip3--` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`frac-times` `flip3-+` `associate-*r/` `flip-+`
5×	`pow1` `associate-r` `associate-/r*`
4×	`sub-neg` `associate-/r/`
3×	`expm1-log1p-u` `associate-l/` `sum-log` `log1p-expm1-u` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `fma-def` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative`

Counts

3 → 157

Calls

3 calls:

25.0ms	(/ y (- a t))
86.0ms	(+ (* (/ y (- a t)) (- t z)) (+ y x))
122.0ms	(* (/ y (- a t)) (- t z))

series649.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ y (- a t))
240.0ms	(+ (* (/ y (- a t)) (- t z)) (+ y x))
336.0ms	(* (/ y (- a t)) (- t z))

simplify5.1s

Counts

166 → 166

Iterations

Iter	Nodes
done	5002
2	3632
1	921
0	284

prune2.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.3b

localize45.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t z) (- a t))
1.0b	(* y (/ (- t z) (- a t)))
2.4b	(+ (* y (/ (- t z) (- a t))) (+ y x))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
5×	`pow1` `associate-/r` `associate-/l`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-r/` `associate-l*` `sum-log` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3-+` `div-exp` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `fma-def` `frac-2neg` `div-sub` `pow-prod-down` `clear-num` `*-commutative`

Counts

3 → 124

Calls

3 calls:

61.0ms	(/ (- t z) (- a t))
103.0ms	(* y (/ (- t z) (- a t)))
73.0ms	(+ (* y (/ (- t z) (- a t))) (+ y x))

series926.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(/ (- t z) (- a t))
179.0ms	(* y (/ (- t z) (- a t)))
609.0ms	(+ (* y (/ (- t z) (- a t))) (+ y x))

simplify3.7s

Counts

133 → 133

Iterations

Iter	Nodes
done	5002
2	1998
1	553
0	191

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.6b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t z) (- a t))
2.7b	(fma (/ (- t z) (- a t)) y y)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

55.0ms	(/ (- t z) (- a t))
0.0ms	(fma (/ (- t z) (- a t)) y y)

series329.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(/ (- t z) (- a t))
233.0ms	(fma (/ (- t z) (- a t)) y y)

simplify3.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	2023
2	637
1	258
0	110

prune653.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.6b

regimes1.1s

Accuracy

0% (4.4b remaining)

Error of 7.5b against oracle of 3.1b and baseline of 7.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample2.4s

Algorithm

intervals

Results

875.0ms	7380×	body	80	valid
723.0ms	365×	body	320	valid
180.0ms	475×	body	640	valid
96.0ms	271×	body	1280	valid
41.0ms	262×	body	160	valid
5.0ms	13×	body	2560	valid