Details

sample43.0ms

Algorithm

intervals

Results

21.0ms

276×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
22	4837
21	4533
20	4220
19	3915
18	3605
17	3272
16	2914
15	2509
14	2029
13	1698
12	1246
11	750
10	447
9	347
8	287
7	262
6	225
5	152
4	94
3	57
2	36
1	20
0	10

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:

33.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) y x)

series200.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(/ (- z t) (- a t))
129.0ms	(fma (/ (- z t) (- a t)) y x)

simplify2.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5010
3	2057
2	657
1	266
0	115

prune451.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (- a t) (- z t)))
1.4b	(fma (/ 1 (/ (- a t) (- z t))) y x)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`div-sub` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 217

Calls

3 calls:

54.0ms	(/ (- a t) (- z t))
29.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

series612.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(/ (- a t) (- z t))
188.0ms	(/ 1 (/ (- a t) (- z t)))
340.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

simplify1.9s

Counts

226 → 226

Iterations

Iter	Nodes
done	5000
2	2097
1	699
0	273

prune898.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
47×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
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×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

3 → 148

Calls

3 calls:

32.0ms	(+ (* (/ y (- a t)) (- z t)) x)
12.0ms	(/ y (- a t))
92.0ms	(* (/ y (- a t)) (- z t))

series629.0ms

Counts

3 → 9

Calls

3 calls:

353.0ms	(+ (* (/ y (- a t)) (- z t)) x)
45.0ms	(/ y (- a t))
231.0ms	(* (/ y (- a t)) (- z t))

simplify1.7s

Counts

157 → 157

Iterations

Iter	Nodes
done	5000
2	1691
1	630
0	229

prune805.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 105

Calls

3 calls:

79.0ms	(+ (/ (* y (- z t)) (- a t)) x)
38.0ms	(* y (- z t))
28.0ms	(/ (* y (- z t)) (- a t))

series326.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(+ (/ (* y (- z t)) (- a t)) x)
68.0ms	(* y (- z t))
113.0ms	(/ (* y (- z t)) (- a t))

simplify1.5s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1321
1	474
0	185

prune472.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes423.0ms

Accuracy

36.4% (0.8b remaining)

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

bsearch121.0ms

Steps

Iters	Range		Point
9	3.996245660399187e+58	1.9006712668267069e+65	4.050712264929229e+58
9	-3.4994870666727423e-150	-3.036019139471431e-158	-1.4067031403702933e-150

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample923.0ms

Algorithm

intervals

Results

587.0ms	8664×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid