Details

sample37.0ms

Algorithm

intervals

Results

18.0ms	273×	body	80	valid
3.0ms	12×	body	640	valid
2.0ms	5×	body	1280	valid
1.0ms	7×	body	320	valid
1.0ms	5×	body	160	valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
6	2502
5	895
4	343
3	126
2	46
1	23
0	11

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.6b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
11.7b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite22.0ms

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-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

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

series164.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- t x) (- a z))
106.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify1.7s

Counts

72 → 72

Iterations

Iter	Nodes
done	5010
3	2144
2	663
1	276
0	120

prune352.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.3b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
1.9b	(+ (* (- y z) (/ (- t x) (- a z))) x)
6.5b	(* (- y z) (/ (- t x) (- a z)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `associate-l` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 129

Calls

3 calls:

32.0ms	(/ (- t x) (- a z))
17.0ms	(+ (* (- y z) (/ (- t x) (- a z))) x)
64.0ms	(* (- y z) (/ (- t x) (- a z)))

series501.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (- t x) (- a z))
236.0ms	(+ (* (- y z) (/ (- t x) (- a z))) x)
206.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify1.5s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	1801
1	519
0	192

prune620.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.5b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
11.7b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite21.0ms

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-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

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

series204.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (- t x) (- a z))
129.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify1.8s

Counts

72 → 72

Iterations

Iter	Nodes
done	5010
3	2144
2	663
1	276
0	120

prune471.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 1.5b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.3b	(* (- t x) (/ 1 (- a z)))
11.7b	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r` `associate-l*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 108

Calls

3 calls:

15.0ms	(/ 1 (- a z))
62.0ms	(* (- t x) (/ 1 (- a z)))
1.0ms	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

series253.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ 1 (- a z))
56.0ms	(* (- t x) (/ 1 (- a z)))
154.0ms	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

simplify2.5s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
3	3563
2	1195
1	373
0	158

prune449.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 1.5b

regimes791.0ms

Accuracy

27.2% (7.8b remaining)

Error of 11.4b against oracle of 3.7b and baseline of 14.3b

bsearch145.0ms

Steps

Iters	Range		Point
9	1.6578722780370624e+178	4.257764776247382e+185	6.562213605057352e+178
8	-4.675727803216676e+105	-1.0426937022554421e+102	-5.6084778564962155e+104

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	21

end0.0ms

sample1.8s

Algorithm

intervals

Results

913.0ms	7833×	body	80	valid
224.0ms	478×	body	640	valid
152.0ms	407×	body	320	valid
125.0ms	265×	body	1280	valid
65.0ms	240×	body	160	valid
7.0ms	14×	body	2560	valid