Details

sample213.0ms

Algorithm

intervals

Results

78.0ms	812×	body	80	nan
20.0ms	188×	body	80	valid
14.0ms	27×	body	640	valid
6.0ms	21×	body	320	valid
5.0ms	5×	body	1280	valid
3.0ms	16×	body	160	valid

simplify7.4s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize24.0ms

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))
4.7b	(log (- 1.0 y))

rewrite63.0ms

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` `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 → 83

Calls

4 calls:

30.0ms	(- (* (- x 1.0) (log y)) t)
0.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
24.0ms	(* (- x 1.0) (log y))
5.0ms	(log (- 1.0 y))

series484.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (* (- x 1.0) (log y)) t)
260.0ms	(fma (log (- 1.0 y)) (- z 1.0) (- (* (- x 1.0) (log y)) t))
77.0ms	(* (- x 1.0) (log y))
60.0ms	(log (- 1.0 y))

simplify2.5s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
3	4518
2	1336
1	509
0	213

prune863.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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` `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 → 65

Calls

3 calls:

15.0ms	(- (* (- x 1.0) (log y)) t)
0.0ms	(fma (- (log 1.0) (fma y 1.0 (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
26.0ms	(* (- x 1.0) (log y))

series383.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (* (- x 1.0) (log y)) t)
251.0ms	(fma (- (log 1.0) (fma y 1.0 (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (- (* (- x 1.0) (log y)) t))
69.0ms	(* (- x 1.0) (log y))

simplify2.1s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
3	3756
2	1078
1	406
0	170

prune661.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
26×	`add-cube-cbrt`
24×	`log-prod`
18×	`prod-diff`
12×	`distribute-rgt-in` `pow1` `distribute-lft-in` `associate-r` `sqrt-prod`
10×	`associate-l`
9×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
6×	`fma-neg` `log-pow`
4×	`expm1-log1p-u` `distribute-rgt-out` `count-2` `associate-*l/` `log1p-expm1-u` `distribute-lft-out`
3×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sum-log` `sub-neg` `associate--l+` `fma-udef`

Counts

4 → 130

Calls

4 calls:

99.0ms	(- (+ (* (- x 1.0) (log (sqrt y))) (* (- x 1.0) (log (sqrt y)))) t)
0.0ms	(fma (- (log 1.0) (fma y 1.0 (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (- (+ (* (- x 1.0) (log (sqrt y))) (* (- x 1.0) (log (sqrt y)))) t))
26.0ms	(* (- x 1.0) (log (sqrt y)))
28.0ms	(* (- x 1.0) (log (sqrt y)))

series764.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(- (+ (* (- x 1.0) (log (sqrt y))) (* (- x 1.0) (log (sqrt y)))) t)
395.0ms	(fma (- (log 1.0) (fma y 1.0 (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (- z 1.0) (- (+ (* (- x 1.0) (log (sqrt y))) (* (- x 1.0) (log (sqrt y)))) t))
78.0ms	(* (- x 1.0) (log (sqrt y)))
101.0ms	(* (- x 1.0) (log (sqrt y)))

simplify1.6s

Counts

142 → 142

Iterations

Iter	Nodes
done	5001
2	1441
1	498
0	212

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log (sqrt y)))
0.3b	(+ (* (log (cbrt (sqrt y))) (+ (- x 1.0) (- x 1.0))) (* (log (cbrt (sqrt y))) (- x 1.0)))
0.7b	(cbrt (sqrt y))
0.7b	(cbrt (sqrt y))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

43.0ms	(* (- x 1.0) (log (sqrt y)))
45.0ms	(+ (* (log (cbrt (sqrt y))) (+ (- x 1.0) (- x 1.0))) (* (log (cbrt (sqrt y))) (- x 1.0)))
1.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series737.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (- x 1.0) (log (sqrt y)))
280.0ms	(+ (* (log (cbrt (sqrt y))) (+ (- x 1.0) (- x 1.0))) (* (log (cbrt (sqrt y))) (- x 1.0)))
186.0ms	(cbrt (sqrt y))
207.0ms	(cbrt (sqrt y))

simplify2.5s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
2	4621
1	1038
0	314

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes697.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	20

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.8s	24301×	body	80	nan
546.0ms	260×	body	1280	valid
523.0ms	5868×	body	80	valid
413.0ms	763×	body	640	valid
248.0ms	731×	body	320	valid
111.0ms	406×	body	160	valid