Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

281×

body

valid

simplify3.9s

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.5b	(fma (/ (- z t) (- a t)) y x)

rewrite18.0ms

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:

17.0ms	(/ (- z t) (- a t))
0.0ms	(fma (/ (- z t) (- a t)) y x)

series167.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (- z t) (- a t))
106.0ms	(fma (/ (- z t) (- a t)) y x)

simplify1.5s

Counts

72 → 72

Iterations

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

prune409.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (- z t) (- a t)) y) x)
0.0b	(/ (- z t) (- a t))
1.7b	(* (/ (- z t) (- a t)) y)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
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×	`expm1-log1p-u` `flip3--` `associate-r` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

3 → 123

Calls

3 calls:

18.0ms	(+ (* (/ (- z t) (- a t)) y) x)
30.0ms	(/ (- z t) (- a t))
43.0ms	(* (/ (- z t) (- a t)) y)

series343.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(+ (* (/ (- z t) (- a t)) y) x)
73.0ms	(/ (- z t) (- a t))
147.0ms	(* (/ (- z t) (- a t)) y)

simplify2.8s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
3	4908
2	1346
1	463
0	176

prune631.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.5b	(/ 1 (/ (- a t) (- z t)))
0.5b	(fma (/ 1 (/ (- a t) (- z t))) y x)

rewrite59.0ms

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:

18.0ms	(/ (- a t) (- z t))
36.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

series624.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(/ (- a t) (- z t))
219.0ms	(/ 1 (/ (- a t) (- z t)))
327.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

simplify1.8s

Counts

226 → 226

Iterations

Iter	Nodes
done	5000
2	2097
1	699
0	273

prune841.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(fma (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))) y x)
3.5b	(cbrt (/ (- z t) (- a t)))
3.5b	(cbrt (/ (- z t) (- a t)))
3.5b	(cbrt (/ (- z t) (- a t)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `div-inv` `flip--`
1×	`fma-udef`

Counts

4 → 140

Calls

4 calls:

0.0ms	(fma (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))) y x)
6.0ms	(cbrt (/ (- z t) (- a t)))
6.0ms	(cbrt (/ (- z t) (- a t)))
6.0ms	(cbrt (/ (- z t) (- a t)))

series1.5s

Counts

4 → 12

Calls

4 calls:

116.0ms	(fma (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))) y x)
513.0ms	(cbrt (/ (- z t) (- a t)))
429.0ms	(cbrt (/ (- z t) (- a t)))
446.0ms	(cbrt (/ (- z t) (- a t)))

simplify3.0s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
4	4134
3	1450
2	652
1	339
0	177

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes445.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s	8739×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid