Details

sample41.0ms

Algorithm

intervals

Results

24.0ms

281×

body

valid

simplify4.3s

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

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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)

series212.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(/ (- z t) (- a t))
132.0ms	(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

prune302.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`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` `fma-def` `flip3--` `associate-l` `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` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 125

Calls

3 calls:

8.0ms	(+ x (* y (/ (- z t) (- a t))))
16.0ms	(/ (- z t) (- a t))
27.0ms	(* y (/ (- z t) (- a t)))

series284.0ms

Counts

3 → 9

Calls

3 calls:

134.0ms	(+ x (* y (/ (- z t) (- a t))))
62.0ms	(/ (- z t) (- a t))
87.0ms	(* y (/ (- z t) (- a t)))

simplify1.5s

Counts

134 → 134

Iterations

Iter	Nodes
done	5001
2	1433
1	455
0	171

prune646.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
3.5b	(cbrt (/ (- z t) (- a t)))
3.5b	(cbrt (/ (- z t) (- a t)))
3.5b	(cbrt (/ (- z t) (- a t)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `div-inv` `flip--`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 288

Calls

4 calls:

50.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
5.0ms	(cbrt (/ (- z t) (- a t)))
6.0ms	(cbrt (/ (- z t) (- a t)))
11.0ms	(cbrt (/ (- z t) (- a t)))

series1.8s

Counts

4 → 12

Calls

4 calls:

456.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
468.0ms	(cbrt (/ (- z t) (- a t)))
418.0ms	(cbrt (/ (- z t) (- a t)))
446.0ms	(cbrt (/ (- z t) (- a t)))

simplify2.3s

Counts

300 → 300

Iterations

Iter	Nodes
done	5000
3	2827
2	1262
1	587
0	297

prune1.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))))
0.8b	(cbrt (/ (- z t) (cbrt (- a t))))
3.5b	(cbrt (/ (- z t) (- a t)))
3.5b	(cbrt (/ (- z t) (- a t)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

148×	`cbrt-prod`
113×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`times-frac`
47×	`add-cube-cbrt`
33×	`distribute-lft-out--` `difference-of-squares`
18×	`cbrt-div`
14×	`associate-/r/`
9×	`flip3--` `flip--`
4×	`expm1-log1p-u` `frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`associate-l/` `associate-r/`

Counts

4 → 171

Calls

4 calls:

33.0ms	(cbrt (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))))
13.0ms	(cbrt (/ (- z t) (cbrt (- a t))))
21.0ms	(cbrt (/ (- z t) (- a t)))
12.0ms	(cbrt (/ (- z t) (- a t)))

series1.8s

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))))
578.0ms	(cbrt (/ (- z t) (cbrt (- a t))))
478.0ms	(cbrt (/ (- z t) (- a t)))
537.0ms	(cbrt (/ (- z t) (- a t)))

simplify3.0s

Counts

183 → 183

Iterations

Iter	Nodes
done	5001
3	3760
2	1347
1	679
0	369

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes682.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

930.0ms	8739×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid