Details

sample52.0ms

Algorithm

intervals

Results

10.0ms

274×

body

valid

simplify8.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
18	4706
17	4374
16	4030
15	3643
14	3174
13	2610
12	1673
11	892
10	514
9	408
8	343
7	276
6	198
5	139
4	94
3	58
2	33
1	17
0	10

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.4b	(fma t (/ (- y z) (- a z)) x)

rewrite57.0ms

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:

51.0ms	(/ (- y z) (- a z))
2.0ms	(fma t (/ (- y z) (- a z)) x)

series248.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(/ (- y z) (- a z))
150.0ms	(fma t (/ (- y z) (- a z)) x)

simplify3.3s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	2013
2	653
1	266
0	115

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.2b	(* t (/ (- y z) (- a z)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 108

Calls

2 calls:

41.0ms	(/ (- y z) (- a z))
80.0ms	(* t (/ (- y z) (- a z)))

series253.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(/ (- y z) (- a z))
150.0ms	(* t (/ (- y z) (- a z)))

simplify6.0s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
3	4417
2	1165
1	378
0	144

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
1.4b	(fma t (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) x)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 65

Calls

4 calls:

7.0ms	(cbrt (- y z))
6.0ms	(cbrt (- y z))
6.0ms	(cbrt (- y z))
1.0ms	(fma t (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

328.0ms	(cbrt (- y z))
372.0ms	(cbrt (- y z))
379.0ms	(cbrt (- y z))
151.0ms	(fma t (/ (* (cbrt (- y z)) (cbrt (- y z))) (/ (- a z) (cbrt (- y z)))) x)

simplify5.4s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
4	2986
3	981
2	415
1	196
0	95

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.2b	(* (cbrt t) (/ (- y z) (- a z)))
1.3b	(* (* (cbrt t) (cbrt t)) (* (cbrt t) (/ (- y z) (- a z))))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-*r/`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3--` `div-inv` `flip--`

Counts

4 → 116

Calls

4 calls:

2.0ms	(cbrt t)
2.0ms	(cbrt t)
82.0ms	(* (cbrt t) (/ (- y z) (- a z)))
166.0ms	(* (* (cbrt t) (cbrt t)) (* (cbrt t) (/ (- y z) (- a z))))

series1.4s

Counts

4 → 12

Calls

4 calls:

381.0ms	(cbrt t)
322.0ms	(cbrt t)
473.0ms	(* (cbrt t) (/ (- y z) (- a z)))
178.0ms	(* (* (cbrt t) (cbrt t)) (* (cbrt t) (/ (- y z) (- a z))))

simplify4.0s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	1449
1	416
0	158

prune1.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes2.4s

Accuracy

72.8% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.3b

bsearch2.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample1.3s

Algorithm

intervals

Results

583.0ms	8738×	body	80	valid
0.0ms	1×	body	160	valid