Details

sample66.0ms

Algorithm

intervals

Results

18.0ms	233×	body	80	valid
5.0ms	21×	body	320	valid
5.0ms	17×	body	640	valid
3.0ms	7×	body	1280	valid
1.0ms	8×	body	160	valid
0.0ms	1×	body	2560	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3616
5	935
4	334
3	122
2	44
1	23
0	11

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
4.4b	(+ x (* (- y z) (/ (- t x) (- a z))))
4.6b	(* (- y z) (/ (- t x) (- a z)))

rewrite145.0ms

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/`
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` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

36.0ms	(/ (- t x) (- a z))
11.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
93.0ms	(* (- y z) (/ (- t x) (- a z)))

series534.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(/ (- t x) (- a z))
249.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
205.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify1.5s

Counts

128 → 128

Iterations

Iter	Nodes
done	5002
2	2689
1	500
0	183

prune643.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- t x) (/ 1 (- a z)))
4.6b	(* (- y z) (* (- t x) (/ 1 (- a z))))
5.9b	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
32×	`times-frac` `add-exp-log`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`frac-times` `add-cbrt-cube`
17×	`flip3--` `flip--`
13×	`prod-exp`
12×	`pow1`
10×	`associate-l` `associate-l/` `associate-r/`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`associate-/r*`
4×	`pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 146

Calls

4 calls:

11.0ms	(/ 1 (- a z))
37.0ms	(* (- t x) (/ 1 (- a z)))
65.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))
8.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

series497.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ 1 (- a z))
67.0ms	(* (- t x) (/ 1 (- a z)))
190.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))
191.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

simplify3.9s

Counts

158 → 158

Iterations

Iter	Nodes
done	5001
2	4420
1	618
0	221

prune799.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.2b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
4.4b	(+ x (pow (* (/ (- t x) (- a z)) (- y z)) 1))
4.6b	(* (/ (- t x) (- a z)) (- y z))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 124

Calls

3 calls:

33.0ms	(/ (- t x) (- a z))
7.0ms	(+ x (pow (* (/ (- t x) (- a z)) (- y z)) 1))
67.0ms	(* (/ (- t x) (- a z)) (- y z))

series669.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(/ (- t x) (- a z))
242.0ms	(+ x (pow (* (/ (- t x) (- a z)) (- y z)) 1))
330.0ms	(* (/ (- t x) (- a z)) (- y z))

simplify1.3s

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	2264
1	543
0	197

prune799.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.2b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.9b	(* (- t x) (/ (- y z) (- a z)))
2.5b	(+ x (pow (* (- t x) (/ (- y z) (- a z))) 1))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
75×	`*-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/`
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` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `distribute-lft-out`

Counts

3 → 120

Calls

3 calls:

33.0ms	(/ (- y z) (- a z))
59.0ms	(* (- t x) (/ (- y z) (- a z)))
11.0ms	(+ x (pow (* (- t x) (/ (- y z) (- a z))) 1))

series489.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ (- y z) (- a z))
198.0ms	(* (- t x) (/ (- y z) (- a z)))
207.0ms	(+ x (pow (* (- t x) (/ (- y z) (- a z))) 1))

simplify1.5s

Counts

129 → 129

Iterations

Iter	Nodes
done	5002
2	2677
1	512
0	186

prune730.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.2b

regimes1.2s

Accuracy

17.5% (6.9b remaining)

Error of 10.3b against oracle of 3.4b and baseline of 11.7b

bsearch188.0ms

Steps

Iters	Range		Point
11	5.912652758106533e-257	1.749981756588309e-229	6.196121344901687e-233
6	-1.1601490038519906e-88	-2.020328171903396e-89	-2.3031154953381944e-89

simplify3.0ms

Iterations

Iter	Nodes
done	33
1	33
0	25

end0.0ms

sample1.7s

Algorithm

intervals

Results

716.0ms	7774×	body	80	valid
138.0ms	382×	body	320	valid
121.0ms	535×	body	640	valid
81.0ms	258×	body	1280	valid
30.0ms	254×	body	160	valid
8.0ms	25×	body	2560	valid