Details

sample36.0ms

Algorithm

intervals

Results

15.0ms

274×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
10	2768
9	935
8	504
7	314
6	223
5	167
4	105
3	58
2	33
1	18
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* y (- z t)) (- z a)) x)
0.0b	(* y (- z t))
11.8b	(/ (* y (- z t)) (- z a))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

60.0ms	(+ (/ (* y (- z t)) (- z a)) x)
21.0ms	(* y (- z t))
34.0ms	(/ (* y (- z t)) (- z a))

series251.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(+ (/ (* y (- z t)) (- z a)) x)
39.0ms	(* y (- z t))
102.0ms	(/ (* y (- z t)) (- z a))

simplify800.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1345
1	353
0	128

prune468.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ y (/ (- z a) (- z t))) x)
0.0b	(/ (- z a) (- z t))
1.4b	(/ y (/ (- z a) (- z t)))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

124.0ms	(+ (/ y (/ (- z a) (- z t))) x)
18.0ms	(/ (- z a) (- z t))
36.0ms	(/ y (/ (- z a) (- z t)))

series342.0ms

Counts

3 → 9

Calls

3 calls:

130.0ms	(+ (/ y (/ (- z a) (- z t))) x)
57.0ms	(/ (- z a) (- z t))
154.0ms	(/ y (/ (- z a) (- z t)))

simplify1.8s

Counts

215 → 215

Iterations

Iter	Nodes
done	5000
2	4011
1	801
0	292

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (/ (- z t) (- z a))) x)
0.0b	(/ (- z t) (- z a))
1.6b	(* y (/ (- z t) (- z a)))

rewrite97.0ms

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-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `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 → 113

Calls

3 calls:

14.0ms	(+ (* y (/ (- z t) (- z a))) x)
29.0ms	(/ (- z t) (- z a))
44.0ms	(* y (/ (- z t) (- z a)))

series303.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(+ (* y (/ (- z t) (- z a))) x)
63.0ms	(/ (- z t) (- z a))
89.0ms	(* y (/ (- z t) (- z a)))

simplify765.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1752
1	448
0	162

prune635.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z a))
0.0b	(+ (* y (* (- z t) (/ 1 (- z a)))) x)
0.2b	(* (- z t) (/ 1 (- z a)))
1.6b	(* y (* (- z t) (/ 1 (- z a))))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

18.0ms	(/ 1 (- z a))
80.0ms	(+ (* y (* (- z t) (/ 1 (- z a)))) x)
41.0ms	(* (- z t) (/ 1 (- z a)))
92.0ms	(* y (* (- z t) (/ 1 (- z a))))

series387.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ 1 (- z a))
150.0ms	(+ (* y (* (- z t) (/ 1 (- z a)))) x)
68.0ms	(* (- z t) (/ 1 (- z a)))
120.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify3.1s

Counts

142 → 142

Iterations

Iter	Nodes
done	5001
2	3307
1	484
0	182

prune585.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes511.0ms

Accuracy

58.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.4b

bsearch80.0ms

Steps

Iters	Range		Point
4	8.188955113645007e-106	1.3904030559126784e-105	1.2147224347952997e-105
8	-4.929715435319462e-90	-7.780761669250176e-94	-4.832820342516794e-90

simplify4.0ms

Iterations

Iter	Nodes
done	27
1	27
0	22

end0.0ms

sample1.2s

Algorithm

intervals

Results

600.0ms	8729×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid