Details

sample483.0ms

Algorithm

intervals

Results

232.0ms	1382×	body	80	nan
119.0ms	501×	body	80	valid

simplify7.0s

Counts: 1 → 1

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize55.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.8b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.3b	(* y (log z))
0.2b	(* (- t 1.0) (log a))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`log-prod` `exp-sum` `add-exp-log`
10×	`pow1` `add-log-exp`
9×	`prod-diff`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`exp-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod` `rem-exp-log`
2×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `associate-r/` `div-inv` `flip--` `associate-/l` `associate-/l/`

Counts

4 → 116

Calls

4 calls:

Slowest

216.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
89.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
34.0ms	(* (- t 1.0) (log a))
15.0ms	(* y (log z))

series583.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

286.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
163.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
88.0ms	(* (- t 1.0) (log a))
46.0ms	(* y (log z))

simplify911.0ms

Counts: 128 → 128

prune2.9s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize73.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
0.7b	(/ x (/ y (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))))
0.3b	(* (log z) y)
0.2b	(fma (- t 1.0) (log a) (* (log z) y))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
216×	`add-sqr-sqrt`
214×	`*-un-lft-identity`
212×	`add-cube-cbrt`
156×	`exp-sum`
117×	`prod-diff`
50×	`associate-/r*`
14×	`fma-udef`
13×	`sub-neg` `associate--l+`
11×	`add-cbrt-cube`
10×	`add-exp-log`
7×	`pow1` `add-log-exp`
5×	`exp-prod` `exp-diff` `associate-/r/` `div-inv`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-/l*`
2×	`rem-exp-log`
1×	`clear-num` `frac-2neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 284

Calls

4 calls:

Slowest

29.0ms	(/ x (/ y (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))))
17.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
14.0ms	(* (log z) y)
0.0ms	(fma (- t 1.0) (log a) (* (log z) y))

series678.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

254.0ms	(/ x (/ y (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))))
168.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
159.0ms	(fma (- t 1.0) (log a) (* (log z) y))
97.0ms	(* (log z) y)

simplify1.1s

Counts: 296 → 296

prune7.7s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.5b

localize103.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
0.8b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity` `exp-sum`
20×	`add-cube-cbrt`
18×	`prod-diff`
10×	`exp-prod` `add-log-exp`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `rem-exp-log`
2×	`sub-neg` `exp-diff` `pow1/3` `diff-log` `associate--l+` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 88

Calls

4 calls:

Slowest

23.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
23.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series915.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

278.0ms	(cbrt y)
254.0ms	(cbrt y)
196.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
187.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify845.0ms

Counts: 100 → 100

prune3.6s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 0.4b

localize147.0ms

Local error

Found 4 expressions with local error:

0.8b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
0.8b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
0.8b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
0.8b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

48×	`exp-sum`
40×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
20×	`exp-prod`
16×	`add-log-exp`
8×	`rem-exp-log`
4×	`expm1-log1p-u` `pow1` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `associate--l+` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 120

Calls

4 calls:

Slowest

21.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
18.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
14.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
12.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

series744.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

201.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
191.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
185.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
166.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify3.5s

Counts: 132 → 132

prune4.7s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.3b

regimes3.9s

Accuracy

0% (0.3b remaining)

Error of 0.9b against oracle of 0.6b and baseline of 0.9b

bsearch12.0ms

end0.0ms

sample15.7s

Algorithm

intervals

Results

8.6s	46534×	body	80	nan
3.5s	15306×	body	80	valid