Details

sample411.0ms

Algorithm

intervals

Results

224.0ms	1597×	body	80	nan
47.0ms	436×	body	80	valid
6.0ms	17×	body	320	valid
5.0ms	10×	body	640	valid
4.0ms	4×	body	1280	valid
2.0ms	7×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1044
4	347
3	135
2	62
1	31
0	17

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (log (- 1.0 z)) b) a)
0.0b	(- (log z) t)
0.1b	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
5.8b	(log (- 1.0 z))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`pow1`
12×	`prod-diff`
8×	`log-prod`
7×	`add-exp-log` `log-pow`
6×	`add-cbrt-cube` `associate-l`
5×	`distribute-lft-out--` `add-log-exp`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`flip3--` `associate-r` `associate--l+` `flip--` `difference-of-squares`
2×	`log-div` `associate-*l/`
1×	`sub-neg` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

23.0ms	(* (- (log (- 1.0 z)) b) a)
15.0ms	(- (log z) t)
0.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
10.0ms	(log (- 1.0 z))

series474.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (- (log (- 1.0 z)) b) a)
77.0ms	(- (log z) t)
238.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
56.0ms	(log (- 1.0 z))

simplify1.9s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
3	3947
2	1183
1	476
0	209

prune769.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))))
0.0b	(- (log z) t)
0.0b	(exp (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))
0.1b	(fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`prod-diff`
11×	`pow1`
6×	`add-cbrt-cube` `add-log-exp`
5×	`add-exp-log` `log-pow`
4×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u`
3×	`log-prod` `exp-prod` `associate-l` `associate--l+` `fma-udef`
2×	`exp-sum` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr` `rem-exp-log`

Counts

4 → 81

Calls

4 calls:

19.0ms	(* x (exp (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))))
14.0ms	(- (log z) t)
8.0ms	(exp (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))
0.0ms	(fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))

series670.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* x (exp (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))))
76.0ms	(- (log z) t)
166.0ms	(exp (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))
200.0ms	(fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))

simplify2.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	5004
3	2411
2	758
1	326
0	150

prune888.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))) (cbrt (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))))
10.5b	(cbrt (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))
10.5b	(cbrt (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))
10.5b	(cbrt (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))

rewrite24.0ms

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` `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 → 81

Calls

4 calls:

17.0ms	(* (cbrt (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))) (cbrt (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))))
1.0ms	(cbrt (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))
1.0ms	(cbrt (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))
1.0ms	(cbrt (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))

series16.3s

Counts

4 → 12

Calls

4 calls:

13.0s	(* (cbrt (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))) (cbrt (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))))
1.1s	(cbrt (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))
1.2s	(cbrt (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))
1.1s	(cbrt (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))

simplify2.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	3206
2	989
1	375
0	152

prune997.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))
0.0b	(exp (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))
0.1b	(fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))
0.1b	(fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `exp-prod` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u`
2×	`exp-sum` `rem-exp-log`

Counts

4 → 48

Calls

4 calls:

3.0ms	(exp (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))
3.0ms	(exp (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))
0.0ms	(fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))
1.0ms	(fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))

series851.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(exp (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))
205.0ms	(exp (fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b)))))
271.0ms	(fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))
205.0ms	(fma y (- (log z) t) (- (* a (log 1.0)) (* a (fma z 1.0 b))))

simplify2.8s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
4	3596
3	669
2	232
1	111
0	55

prune653.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes420.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	23
1	23
0	20

end0.0ms

sample11.8s

Algorithm

intervals

Results

6.4s	41457×	body	80	nan
2.1s	12585×	body	80	valid
206.0ms	326×	body	640	valid
152.0ms	408×	body	320	valid
85.0ms	260×	body	160	valid
73.0ms	66×	body	1280	valid