Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

275×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
11	2268
10	810
9	491
8	355
7	284
6	249
5	158
4	96
3	56
2	35
1	21
0	10

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.8b	(* y (/ (- z t) (- z a)))

rewrite96.0ms

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:

7.0ms	(+ x (* y (/ (- z t) (- z a))))
25.0ms	(/ (- z t) (- z a))
56.0ms	(* y (/ (- z t) (- z a)))

series271.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(+ x (* y (/ (- z t) (- z a))))
69.0ms	(/ (- z t) (- z a))
101.0ms	(* y (/ (- z t) (- z a)))

simplify789.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1781
1	448
0	162

prune605.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
1.8b	(* y (* (- z t) (/ 1 (- z a))))

rewrite105.0ms

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:

9.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
10.0ms	(/ 1 (- z a))
34.0ms	(* (- z t) (/ 1 (- z a)))
45.0ms	(* y (* (- z t) (/ 1 (- z a))))

series334.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
48.0ms	(/ 1 (- z a))
58.0ms	(* (- z t) (/ 1 (- z a)))
102.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify2.6s

Counts

142 → 142

Iterations

Iter	Nodes
done	5001
2	3335
1	484
0	182

prune657.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(+ (* (/ y (- z a)) (- z t)) x)
10.5b	(* (/ y (- z a)) (- z t))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

8.0ms	(/ y (- z a))
15.0ms	(+ (* (/ y (- z a)) (- z t)) x)
44.0ms	(* (/ y (- z a)) (- z t))

series330.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ y (- z a))
134.0ms	(+ (* (/ y (- z a)) (- z t)) x)
155.0ms	(* (/ y (- z a)) (- z t))

simplify750.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1794
1	439
0	166

prune524.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* y (- z t)) (- z a)) x)
0.0b	(* y (- z t))
9.8b	(/ (* y (- z t)) (- z a))

rewrite91.0ms

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:

43.0ms	(+ (/ (* y (- z t)) (- z a)) x)
29.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) (- z a))

series278.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(+ (/ (* y (- z t)) (- z a)) x)
53.0ms	(* y (- z t))
99.0ms	(/ (* y (- z t)) (- z a))

simplify621.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1345
1	353
0	128

prune354.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes565.0ms

Accuracy

-1.1% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.3b

bsearch64.0ms

Steps

Iters	Range		Point
10	-5.814406149173703e+71	-1.3822839980335542e+56	-8.018870300280201e+70

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

539.0ms	8710×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid