Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

276×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
25	4987
24	4738
23	4485
22	4221
21	3975
20	3724
19	3468
18	3205
17	2954
16	2689
15	2425
14	2076
13	1689
12	1239
11	799
10	540
9	376
8	272
7	218
6	177
5	123
4	86
3	49
2	30
1	17
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
11.0b	(/ (* y (- z t)) (- a t))

rewrite93.0ms

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` `insert-posit16` `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 → 70

Calls

3 calls:

35.0ms	(+ x (/ (* y (- z t)) (- a t)))
31.0ms	(* y (- z t))
24.0ms	(/ (* y (- z t)) (- a t))

series285.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(+ x (/ (* y (- z t)) (- a t)))
56.0ms	(* y (- z t))
101.0ms	(/ (* y (- z t)) (- a t))

simplify2.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5014
3	4069
2	1035
1	346
0	131

prune378.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite152.0ms

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` `insert-posit16` `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 → 116

Calls

3 calls:

15.0ms	(+ x (* y (/ (- z t) (- a t))))
43.0ms	(/ (- z t) (- a t))
87.0ms	(* y (/ (- z t) (- a t)))

series282.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ x (* y (/ (- z t) (- a t))))
70.0ms	(/ (- z t) (- a t))
102.0ms	(* y (/ (- z t) (- a t)))

simplify1.7s

Counts

125 → 125

Iterations

Iter	Nodes
done	5004
2	1371
1	442
0	165

prune504.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
2.5b	(/ y (/ (- a t) (- z t)))

rewrite158.0ms

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` `insert-posit16`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 209

Calls

3 calls:

66.0ms	(+ x (/ y (/ (- a t) (- z t))))
32.0ms	(/ (- a t) (- z t))
43.0ms	(/ y (/ (- a t) (- z t)))

series537.0ms

Counts

3 → 9

Calls

3 calls:

195.0ms	(+ x (/ y (/ (- a t) (- z t))))
89.0ms	(/ (- a t) (- z t))
253.0ms	(/ y (/ (- a t) (- z t)))

simplify1.9s

Counts

218 → 218

Iterations

Iter	Nodes
done	5002
2	2713
1	783
0	295

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- a t)) (- z t)))
0.0b	(/ y (- a t))
9.1b	(* (/ y (- a t)) (- z t))

rewrite123.0ms

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-+r+` `sub-neg` `distribute-lft-in` `flip3--` `associate-/r/` `flip--`
3×	`insert-posit16` `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 → 105

Calls

3 calls:

8.0ms	(+ x (* (/ y (- a t)) (- z t)))
18.0ms	(/ y (- a t))
93.0ms	(* (/ y (- a t)) (- z t))

series498.0ms

Counts

3 → 9

Calls

3 calls:

218.0ms	(+ x (* (/ y (- a t)) (- z t)))
51.0ms	(/ y (- a t))
228.0ms	(* (/ y (- a t)) (- z t))

simplify1.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1482
1	436
0	169

prune548.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes327.0ms

Accuracy

33.8% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.2b

bsearch140.0ms

Steps

Iters	Range		Point
9	3.996245660399187e+58	1.9006712668267069e+65	1.874636070202926e+60
9	-2.533348136676035e-118	-6.826091587363677e-125	-2.1804944477325435e-119

simplify5.0ms

Iterations

Iter	Nodes
done	31
1	31
0	24

end0.0ms

sample918.0ms

Algorithm

intervals

Results

622.0ms	8664×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid