Details

sample313.0ms

Algorithm

intervals

Results

162.0ms	1418×	body	80	nan
60.0ms	481×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
5	1717
4	477
3	179
2	71
1	33
0	17

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.9b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite359.0ms

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:

34.0ms	(* (- t 1.0) (log a))
14.0ms	(* y (log z))
72.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
237.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series585.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (- t 1.0) (log a))
56.0ms	(* y (log z))
178.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
253.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify2.2s

Counts

128 → 128

Iterations

Iter	Nodes
done	5002
2	1896
1	626
0	281

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.7b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (log z))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0b	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
24×	`exp-sum` `add-cube-cbrt`
18×	`prod-diff`
16×	`add-log-exp`
15×	`add-cbrt-cube` `add-exp-log`
10×	`exp-prod`
7×	`pow1`
6×	`log-prod` `exp-diff` `rem-exp-log`
4×	`expm1-log1p-u` `sqrt-div` `diff-log` `associate-r` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`distribute-rgt-in` `cbrt-undiv` `associate-/r` `distribute-lft-in` `times-frac` `div-exp` `associate-l*` `associate-/l/`
2×	`sum-log` `sub-neg` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

7.0ms	(* y (log z))
64.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
112.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.8s	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series698.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* y (log z))
205.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
208.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
211.0ms	(/ (* x (* (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify2.0s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	1678
1	539
0	233

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.6b

localize92.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (log z))
0.9b	(exp (- (fma (log a) (- 1.0) (* y (log z))) (fma t (- (log a)) b)))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0b	(/ (* x (* (sqrt (exp (- (fma (log a) (- 1.0) (* y (log z))) (fma t (- (log a)) b)))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

rewrite863.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
24×	`exp-sum` `add-cube-cbrt`
18×	`prod-diff`
15×	`add-cbrt-cube` `add-exp-log`
13×	`add-log-exp`
10×	`exp-prod`
7×	`pow1`
6×	`log-prod` `exp-diff`
5×	`rem-exp-log`
4×	`expm1-log1p-u` `sqrt-div` `associate-r` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`distribute-rgt-in` `cbrt-undiv` `associate-/r` `distribute-lft-in` `times-frac` `diff-log` `div-exp` `associate-l*` `associate-/l/`
2×	`sub-neg` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `fma-udef` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

7.0ms	(* y (log z))
12.0ms	(exp (- (fma (log a) (- 1.0) (* y (log z))) (fma t (- (log a)) b)))
109.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
732.0ms	(/ (* x (* (sqrt (exp (- (fma (log a) (- 1.0) (* y (log z))) (fma t (- (log a)) b)))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series1.0s

Counts

4 → 12

Calls

4 calls:

62.0ms	(* y (log z))
214.0ms	(exp (- (fma (log a) (- 1.0) (* y (log z))) (fma t (- (log a)) b)))
191.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
577.0ms	(/ (* x (* (sqrt (exp (- (fma (log a) (- 1.0) (* y (log z))) (fma t (- (log a)) b)))) (sqrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify3.1s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	2026
1	659
0	308

prune1.5s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.6b

localize101.0ms

Local error

Found 4 expressions with local error:

0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.0b	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

36×	`exp-sum`
33×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff` `add-cube-cbrt`
22×	`add-log-exp`
18×	`add-exp-log`
15×	`exp-prod` `exp-diff`
14×	`add-cbrt-cube`
12×	`cbrt-div`
10×	`associate-*r/`
9×	`rem-exp-log`
7×	`associate-/l/`
6×	`diff-log` `prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `sum-log` `sub-neg` `times-frac` `associate--l+` `distribute-lft-out--` `difference-of-squares`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 128

Calls

4 calls:

108.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
121.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
89.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
873.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

series835.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
191.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
187.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
248.0ms	(/ (* x (* (* (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))) (cbrt (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))))) y)

simplify2.0s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
2	1594
1	481
0	201

prune1.5s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.5b

regimes3.0s

Accuracy

0% (1.1b remaining)

Error of 1.8b against oracle of 0.7b and baseline of 1.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	19

end0.0ms

sample11.1s

Algorithm

intervals

Results

6.7s	45031×	body	80	nan
2.0s	15175×	body	80	valid