Details

sample361.0ms

Algorithm

intervals

Results

176.0ms	1276×	body	80	nan
50.0ms	391×	body	80	valid
7.0ms	11×	body	640	valid
5.0ms	4×	body	1280	valid
4.0ms	13×	body	320	valid
3.0ms	10×	body	160	valid

simplify2.0s

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: 2.3b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
0.0b	(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
0.1b	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
8.7b	(log (- 1.0 z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

14.0ms	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
3.0ms	(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
1.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
9.0ms	(log (- 1.0 z))

series672.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(* x (exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))))
184.0ms	(exp (fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a)))
226.0ms	(fma y (- (log z) t) (* (- (log (- 1.0 z)) b) a))
77.0ms	(log (- 1.0 z))

simplify1.9s

Counts

75 → 75

Iterations

Iter	Nodes
done	5002
3	2378
2	852
1	353
0	155

prune645.0ms

Pruning

2 alts after pruning (2 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) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
0.0b	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
0.0b	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
0.1b	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `associate-l`
7×	`associate-r` `add-exp-log`
5×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`exp-prod` `fma-udef`
2×	`exp-sum` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares` `rem-exp-log`

Counts

4 → 69

Calls

4 calls:

10.0ms	(* x (exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
19.0ms	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
2.0ms	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
0.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

series893.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(* x (exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
97.0ms	(* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)
208.0ms	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
293.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

simplify2.5s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
3	3608
2	849
1	308
0	138

prune937.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
0.0b	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
0.1b	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))
0.1b	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

rewrite9.0ms

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) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
3.0ms	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
1.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))
1.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

series968.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
210.0ms	(exp (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
262.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))
306.0ms	(fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))

simplify2.7s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
4	3726
3	930
2	319
1	138
0	67

prune681.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize113.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))) (cbrt (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
9.1b	(cbrt (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
9.1b	(cbrt (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
9.1b	(cbrt (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))

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) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))) (cbrt (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
1.0ms	(cbrt (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
1.0ms	(cbrt (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
1.0ms	(cbrt (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))

series25.9s

Counts

4 → 12

Calls

4 calls:

20.8s	(* (cbrt (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))) (cbrt (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a))))
1.8s	(cbrt (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
1.6s	(cbrt (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))
1.6s	(cbrt (fma y (- (log z) t) (* (- (fma -1/2 (* (/ z 1.0) (/ z 1.0)) (- (log 1.0) (* 1.0 z))) b) a)))

simplify2.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
3	3403
2	1084
1	409
0	166

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes469.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	32
1	32
0	28

end0.0ms

sample10.9s

Algorithm

intervals

Results

5.0s	40674×	body	80	nan
2.3s	12431×	body	80	valid
541.0ms	377×	body	640	valid
146.0ms	373×	body	320	valid
95.0ms	73×	body	1280	valid
57.0ms	275×	body	160	valid