Details

sample483.0ms

Algorithm

intervals

Results

270.0ms	1315×	body	80	nan
116.0ms	493×	body	80	valid

simplify6.6s

Counts: 1 → 1

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize63.0ms

Local error

Found 4 expressions with local error:

1.3b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.3b	(* y (log z))
0.1b	(* (- t 1.0) (log a))

rewrite350.0ms

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

202.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
105.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
30.0ms	(* (- t 1.0) (log a))
12.0ms	(* y (log z))

series529.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

227.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
177.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
79.0ms	(* (- t 1.0) (log a))
45.0ms	(* y (log z))

simplify1.3s

Counts: 128 → 128

prune2.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.9b

localize30.0ms

Local error

Found 4 expressions with local error:

1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
0.8b	(* x (/ (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b)) y))
0.3b	(* (log z) y)
0.1b	(fma (- t 1.0) (log a) (* (log z) y))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
52×	`associate-r`
51×	`add-cube-cbrt`
48×	`exp-sum`
46×	`times-frac`
36×	`prod-diff`
11×	`add-cbrt-cube`
10×	`add-exp-log`
9×	`pow1`
7×	`associate-l` `add-log-exp`
5×	`exp-prod` `fma-udef`
4×	`expm1-log1p-u` `sub-neg` `associate--l+` `insert-posit16` `log1p-expm1-u`
3×	`prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `rem-exp-log`
1×	`cbrt-undiv` `exp-diff` `diff-log` `div-exp` `associate-*r/` `log-pow` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 134

Calls

4 calls:

Slowest

89.0ms	(* x (/ (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b)) y))
20.0ms	(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))

series646.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

259.0ms	(* x (/ (exp (- (fma (- t 1.0) (log a) (* (log z) y)) b)) y))
171.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
130.0ms	(fma (- t 1.0) (log a) (* (log z) y))
85.0ms	(* (log z) y)

simplify1.0s

Counts: 146 → 146

prune2.7s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.9b

localize125.0ms

Local error

Found 4 expressions with local error:

1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
0.6b	(cbrt y)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

36×	`exp-sum`
32×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
15×	`exp-prod`
13×	`add-log-exp`
6×	`rem-exp-log`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-prod` `sub-neg` `exp-diff` `diff-log` `associate--l+` `fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 104

Calls

4 calls:

Slowest

28.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
24.0ms	(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)

series810.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

247.0ms	(cbrt y)
205.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
181.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
176.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify919.0ms

Counts: 116 → 116

prune3.0s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.7b

localize106.0ms

Local error

Found 4 expressions with local error:

1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.1b	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
0.6b	(cbrt y)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

36×	`exp-sum`
32×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
15×	`exp-prod`
13×	`add-log-exp`
6×	`rem-exp-log`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-prod` `sub-neg` `exp-diff` `diff-log` `associate--l+` `fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 104

Calls

4 calls:

Slowest

13.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
13.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
12.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
1.0ms	(cbrt y)

series856.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

333.0ms	(cbrt y)
185.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
173.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))
165.0ms	(exp (- (fma (- t 1.0) (log a) (* (log z) y)) b))

simplify913.0ms

Counts: 116 → 116

prune3.3s

Pruning

24 alts after pruning (22 fresh and 2 done)

Merged error: 0.7b

regimes3.3s

Accuracy

0% (0.4b remaining)

Error of 1.1b against oracle of 0.6b and baseline of 1.1b

bsearch4.0ms

end0.0ms

sample15.7s

Algorithm

intervals

Results

8.5s	45768×	body	80	nan
3.3s	15200×	body	80	valid