Details

sample195.0ms

Algorithm

intervals

Results

85.0ms	784×	body	80	nan
40.0ms	205×	body	80	valid
11.0ms	17×	body	640	valid
10.0ms	24×	body	320	valid
7.0ms	6×	body	1280	valid
2.0ms	6×	body	160	valid

simplify7.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2850
6	1322
5	620
4	304
3	130
2	57
1	27
0	14

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (- x 1.0) (log y)) t)
0.0b	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
0.1b	(* (- x 1.0) (log y))
5.5b	(log (- 1.0 y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`log-prod`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt`
8×	`pow1`
7×	`add-exp-log`
6×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate--l+` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `prod-diff` `flip--`
2×	`log-div` `associate-*l/` `log-pow` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `fma-neg` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

25.0ms	(- (* (- x 1.0) (log y)) t)
0.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
33.0ms	(* (- x 1.0) (log y))
8.0ms	(log (- 1.0 y))

series496.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (* (- x 1.0) (log y)) t)
281.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
78.0ms	(* (- x 1.0) (log y))
66.0ms	(log (- 1.0 y))

simplify2.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	4572
2	1385
1	513
0	217

prune489.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`log-prod` `*-un-lft-identity`
10×	`add-cube-cbrt`
6×	`distribute-rgt-in` `pow1` `distribute-lft-in` `associate--l+`
5×	`add-cbrt-cube` `associate-l` `add-exp-log` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `prod-diff` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

21.0ms	(- (* (- x 1.0) (log y)) t)
0.0ms	(fma (- (log 1.0) (fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* 1.0 y))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
24.0ms	(* (- x 1.0) (log y))

series366.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (* (- x 1.0) (log y)) t)
233.0ms	(fma (- (log 1.0) (fma 1/2 (* (/ y 1.0) (/ y 1.0)) (* 1.0 y))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
71.0ms	(* (- x 1.0) (log y))

simplify1.8s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	3722
2	1070
1	407
0	172

prune527.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize74.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

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` `insert-posit16` `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 → 85

Calls

4 calls:

13.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
8.0ms	(cbrt y)
1.0ms	(cbrt y)

series961.0ms

Counts

4 → 12

Calls

4 calls:

314.0ms	(* (cbrt y) (cbrt y))
205.0ms	(cbrt y)
230.0ms	(cbrt y)
212.0ms	(cbrt y)

simplify3.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
4	4657
3	1110
2	364
1	141
0	67

prune755.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize76.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 1.0) (log (pow y 2/3)))
0.2b	(+ (* (- x 1.0) (log (pow y 2/3))) (- (* (- x 1.0) (log (cbrt y))) t))
0.6b	(cbrt y)
6.0b	(pow y 2/3)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

40×	`log-prod`
26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`distribute-rgt-in` `distribute-lft-in`
17×	`associate-+r+`
15×	`unpow-prod-down`
14×	`associate-+l+`
12×	`associate--l+`
9×	`cbrt-prod` `add-log-exp`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `associate-*l/`
5×	`flip3--` `associate-l` `flip--` `sqr-pow`
4×	`expm1-log1p-u` `associate-r` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `prod-diff`
2×	`sum-log`
1×	`pow-to-exp` `+-commutative` `associate-+r-` `sub-neg` `pow-pow` `fma-def` `flip3-+` `pow1/3` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

22.0ms	(* (- x 1.0) (log (pow y 2/3)))
59.0ms	(+ (* (- x 1.0) (log (pow y 2/3))) (- (* (- x 1.0) (log (cbrt y))) t))
1.0ms	(cbrt y)
3.0ms	(pow y 2/3)

series930.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (- x 1.0) (log (pow y 2/3)))
298.0ms	(+ (* (- x 1.0) (log (pow y 2/3))) (- (* (- x 1.0) (log (cbrt y))) t))
227.0ms	(cbrt y)
233.0ms	(pow y 2/3)

simplify1.9s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	2884
1	808
0	291

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes426.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	23

end0.0ms

sample7.1s

Algorithm

intervals

Results

3.9s	24058×	body	80	nan
884.0ms	5871×	body	80	valid
550.0ms	824×	body	640	valid
366.0ms	664×	body	320	valid
300.0ms	258×	body	1280	valid
132.0ms	413×	body	160	valid