Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

274×

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

prune14.0ms

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))
3.3b	(fma (- z t) (/ y (- z a)) x)

rewrite24.0ms

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/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 51

Calls

2 calls:

21.0ms	(/ y (- z a))
0.0ms	(fma (- z t) (/ y (- z a)) x)

series219.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(/ y (- z a))
142.0ms	(fma (- z t) (/ y (- z a)) x)

simplify1.5s

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
3	1405
2	462
1	179
0	94

prune419.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (- z t) (/ y (- z a))) x)
0.0b	(/ y (- z a))
8.5b	(* (- z t) (/ y (- z a)))

rewrite100.0ms

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` `insert-posit16` `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 → 104

Calls

3 calls:

22.0ms	(+ (* (- z t) (/ y (- z a))) x)
12.0ms	(/ y (- z a))
63.0ms	(* (- z t) (/ y (- z a)))

series282.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(+ (* (- z t) (/ y (- z a))) x)
41.0ms	(/ y (- z a))
104.0ms	(* (- z t) (/ y (- z a)))

simplify1.8s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	1494
1	411
0	163

prune671.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
0.6b	(cbrt (- z a))
8.5b	(* (- z t) (/ (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a))))

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
126×	`associate-r`
107×	`add-sqr-sqrt`
104×	`cbrt-div`
93×	`*-un-lft-identity`
92×	`cbrt-prod`
66×	`associate-/r/`
55×	`add-cube-cbrt`
54×	`flip3--` `flip--`
34×	`frac-times`
19×	`distribute-lft-out--` `difference-of-squares`
18×	`associate-*l/` `add-exp-log`
17×	`associate-*r/`
13×	`add-cbrt-cube`
9×	`div-inv`
6×	`pow1`
5×	`cbrt-undiv` `div-exp` `associate-l` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 215

Calls

4 calls:

7.0ms	(cbrt (- z a))
7.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z a))
186.0ms	(* (- z t) (/ (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a))))

series843.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt (- z a))
247.0ms	(cbrt (- z a))
275.0ms	(cbrt (- z a))
107.0ms	(* (- z t) (/ (/ y (* (cbrt (- z a)) (cbrt (- z a)))) (cbrt (- z a))))

simplify2.7s

Counts

227 → 227

Iterations

Iter	Nodes
done	5003
2	3687
1	1168
0	397

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
2.9b	(* (* (- z t) (/ (* (cbrt y) (cbrt y)) (cbrt (- z a)))) (/ (/ (cbrt y) (cbrt (- z a))) (cbrt (- z a))))

rewrite362.0ms

Algorithm

rewrite-expression-head

Rules

816×	`times-frac`
711×	`cbrt-prod`
552×	`add-sqr-sqrt` `*-un-lft-identity`
438×	`associate-r`
348×	`add-cube-cbrt`
102×	`distribute-lft-out--` `difference-of-squares`
58×	`add-exp-log`
30×	`add-cbrt-cube`
24×	`prod-exp` `cbrt-unprod`
18×	`cbrt-undiv` `cbrt-div` `div-exp` `associate-/r/`
13×	`flip3--` `flip--`
9×	`frac-times` `pow1` `associate-*l/` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*r/`
1×	`associate-l` `*-commutative`

Counts

4 → 529

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
305.0ms	(* (* (- z t) (/ (* (cbrt y) (cbrt y)) (cbrt (- z a)))) (/ (/ (cbrt y) (cbrt (- z a))) (cbrt (- z a))))

series1.1s

Counts

4 → 12

Calls

4 calls:

321.0ms	(cbrt y)
323.0ms	(cbrt y)
292.0ms	(cbrt y)
139.0ms	(* (* (- z t) (/ (* (cbrt y) (cbrt y)) (cbrt (- z a)))) (/ (/ (cbrt y) (cbrt (- z a))) (cbrt (- z a))))

simplify4.5s

Counts

541 → 541

Iterations

Iter	Nodes
done	5002
1	3262
0	881

prune3.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes661.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	22
1	22
0	19

end0.0ms

sample1.2s

Algorithm

intervals

Results

800.0ms	8738×	body	80	valid
0.0ms	1×	body	160	valid