Details

sample53.0ms

Algorithm

intervals

Results

15.0ms

283×

body

valid

simplify7.6s

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

prune35.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.1b	(fma (/ (- z t) (- a t)) y x)

rewrite41.0ms

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:

35.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) y x)

series249.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(/ (- z t) (- a t))
153.0ms	(fma (/ (- z t) (- a t)) y x)

simplify3.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	2079
2	657
1	266
0	115

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (* (- z t) (/ 1 (- a t))) y x)
0.3b	(* (- z t) (/ 1 (- a t)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`-un-lft-identity` `associate-r*`
17×	`times-frac`
12×	`add-cube-cbrt`
11×	`add-exp-log`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp` `distribute-lft-out--` `difference-of-squares`
3×	`flip3--` `flip--` `unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

2.0ms	(fma (* (- z t) (/ 1 (- a t))) y x)
111.0ms	(* (- z t) (/ 1 (- a t)))

series297.0ms

Counts

2 → 6

Calls

2 calls:

204.0ms	(fma (* (- z t) (/ 1 (- a t))) y x)
92.0ms	(* (- z t) (/ 1 (- a t)))

simplify5.8s

Counts

70 → 70

Iterations

Iter	Nodes
done	5004
3	3018
2	970
1	325
0	133

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

27.0ms	(* (cbrt (fma (/ (- z t) (- a t)) y x)) (cbrt (fma (/ (- z t) (- a t)) y x)))
3.0ms	(cbrt (fma (/ (- z t) (- a t)) y x))
3.0ms	(cbrt (fma (/ (- z t) (- a t)) y x))
4.0ms	(cbrt (fma (/ (- z t) (- a t)) y x))

series9.0s

Counts

4 → 12

Calls

4 calls:

4.3s	(* (cbrt (fma (/ (- z t) (- a t)) y x)) (cbrt (fma (/ (- z t) (- a t)) y x)))
1.5s	(cbrt (fma (/ (- z t) (- a t)) y x))
1.6s	(cbrt (fma (/ (- z t) (- a t)) y x))
1.6s	(cbrt (fma (/ (- z t) (- a t)) y x))

simplify3.2s

Counts

97 → 97

Iterations

Iter	Nodes
done	5004
3	1601
2	512
1	211
0	98

prune1.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- z t) y)
9.9b	(/ (* (- z t) y) (- a t))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
6×	`add-cube-cbrt`
5×	`associate-/r` `times-frac` `associate-l*`
4×	`pow1` `associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 57

Calls

2 calls:

44.0ms	(* (- z t) y)
72.0ms	(/ (* (- z t) y) (- a t))

series221.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (- z t) y)
150.0ms	(/ (* (- z t) y) (- a t))

simplify7.4s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	4512
2	939
1	275
0	107

prune915.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes1.6s

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample1.6s

Algorithm

intervals

Results

613.0ms	8716×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid