Details

sample50.0ms

Algorithm

intervals

Results

33.0ms

278×

body

valid

simplify3.7s

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.0b	(fma (/ (- z t) (- a t)) y x)

rewrite36.0ms

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:

34.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) y x)

series176.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- z t) (- a t))
117.0ms	(fma (/ (- z t) (- a t)) y x)

simplify1.7s

Counts

72 → 72

Iterations

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

prune358.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
2.0b	(fma (/ 1 (/ (- a t) (- z t))) y x)

rewrite40.0ms

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:

16.0ms	(/ (- a t) (- z t))
19.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

series505.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- a t) (- z t))
208.0ms	(/ 1 (/ (- a t) (- z t)))
235.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

simplify1.6s

Counts

226 → 226

Iterations

Iter	Nodes
done	5000
2	2097
1	699
0	273

prune705.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ y (- a t)) (- z t)) x)
0.0b	(/ y (- a t))
9.6b	(* (/ y (- a t)) (- z t))

rewrite74.0ms

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:

15.0ms	(+ (* (/ y (- a t)) (- z t)) x)
8.0ms	(/ y (- a t))
48.0ms	(* (/ y (- a t)) (- z t))

series584.0ms

Counts

3 → 9

Calls

3 calls:

327.0ms	(+ (* (/ y (- a t)) (- z t)) x)
48.0ms	(/ y (- a t))
208.0ms	(* (/ y (- a t)) (- z t))

simplify1.5s

Counts

157 → 157

Iterations

Iter	Nodes
done	5000
2	1691
1	630
0	229

prune839.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- a t))
0.0b	(/ (- a t) (- z t))
0.7b	(* (/ y (- a t)) (fma t -1 t))
2.8b	(/ y (/ (- a t) (- z t)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
235×	`add-sqr-sqrt`
230×	`*-un-lft-identity`
112×	`add-cube-cbrt`
59×	`distribute-lft-out--` `difference-of-squares`
41×	`associate-/r*`
21×	`associate-l`
18×	`add-cbrt-cube` `add-exp-log`
15×	`associate-/r/`
11×	`associate-/l*`
8×	`flip3--` `div-inv` `flip--`
6×	`pow1` `cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r`
2×	`prod-exp` `cbrt-unprod` `fma-udef` `unswap-sqr` `associate-/l/`
1×	`distribute-rgt-in` `distribute-lft-in` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 285

Calls

4 calls:

8.0ms	(/ y (- a t))
24.0ms	(/ (- a t) (- z t))
26.0ms	(* (/ y (- a t)) (fma t -1 t))
29.0ms	(/ y (/ (- a t) (- z t)))

series1.3s

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ y (- a t))
94.0ms	(/ (- a t) (- z t))
922.0ms	(* (/ y (- a t)) (fma t -1 t))
255.0ms	(/ y (/ (- a t) (- z t)))

simplify2.2s

Counts

297 → 297

Iterations

Iter	Nodes
done	5004
2	3660
1	964
0	366

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes311.0ms

Accuracy

-46.4% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 1.4b

bsearch63.0ms

Steps

Iters	Range		Point
9	-8.649692897985271e-279	-2.780395920921031e-287	-6.980533944371433e-281

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

850.0ms	8730×	body	80	valid
0.0ms	1×	body	640	valid