Details

sample46.0ms

Algorithm

intervals

Results

18.0ms

281×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4813
20	4487
19	4229
18	3906
17	3648
16	3322
15	3006
14	2545
13	1903
12	1348
11	863
10	583
9	411
8	337
7	254
6	203
5	147
4	96
3	53
2	31
1	18
0	10

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
4.1b	(fma (- z t) (/ y (- z a)) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 49

Calls

2 calls:

10.0ms	(/ y (- z a))
0.0ms	(fma (- z t) (/ y (- z a)) x)

series168.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ y (- z a))
109.0ms	(fma (- z t) (/ y (- z a)) x)

simplify1.7s

Counts

55 → 55

Iterations

Iter	Nodes
done	5003
3	1267
2	459
1	177
0	92

prune499.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (- z t) (/ y (- z a))) x)
0.0b	(/ y (- z a))
9.4b	(* (- z t) (/ y (- z a)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 101

Calls

3 calls:

40.0ms	(+ (* (- z t) (/ y (- z a))) x)
18.0ms	(/ y (- z a))
58.0ms	(* (- z t) (/ y (- z a)))

series228.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(+ (* (- z t) (/ y (- z a))) x)
39.0ms	(/ y (- z a))
84.0ms	(* (- z t) (/ y (- z a)))

simplify1.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5006
2	1499
1	408
0	160

prune870.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* y (/ 1 (- z a)))
4.1b	(fma (- z t) (* y (/ 1 (- z a))) x)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `cbrt-unprod` `div-inv` `flip--`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 99

Calls

3 calls:

17.0ms	(/ 1 (- z a))
48.0ms	(* y (/ 1 (- z a)))
1.0ms	(fma (- z t) (* y (/ 1 (- z a))) x)

series235.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ 1 (- z a))
72.0ms	(* y (/ 1 (- z a)))
95.0ms	(fma (- z t) (* y (/ 1 (- z a))) x)

simplify3.8s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
4	4961
3	1896
2	807
1	303
0	132

prune717.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
3.9b	(* (cbrt (- z t)) (/ y (- z a)))
5.6b	(* (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z t)) (/ y (- z a))))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
59×	`flip3--` `flip--`
40×	`associate-*l/`
39×	`add-sqr-sqrt`
30×	`add-exp-log`
29×	`*-un-lft-identity`
27×	`associate-*r/`
22×	`associate-r`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod` `times-frac` `add-cube-cbrt`
15×	`prod-exp` `cbrt-unprod`
9×	`associate-l` `pow-prod-down`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`div-inv`

Counts

4 → 168

Calls

4 calls:

4.0ms	(cbrt (- z t))
5.0ms	(cbrt (- z t))
77.0ms	(* (cbrt (- z t)) (/ y (- z a)))
123.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z t)) (/ y (- z a))))

series1.3s

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt (- z t))
285.0ms	(cbrt (- z t))
645.0ms	(* (cbrt (- z t)) (/ y (- z a)))
104.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z t)) (/ y (- z a))))

simplify2.2s

Counts

180 → 180

Iterations

Iter	Nodes
done	5001
2	2363
1	844
0	280

prune1.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes793.0ms

Accuracy

82% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.1b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	35
1	35
0	26

end0.0ms

sample1.1s

Algorithm

intervals

Results

495.0ms	8715×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid