Details

sample462.0ms

Algorithm

intervals

Results

207.0ms	1539×	body	80	nan
102.0ms	474×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	3079
4	563
3	190
2	73
1	33
0	17

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize65.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.2b	(* y (log z))
1.0b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
1.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite351.0ms

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` `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 → 112

Calls

4 calls:

39.0ms	(* (- t 1.0) (log a))
14.0ms	(* y (log z))
106.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
186.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series582.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (- t 1.0) (log a))
72.0ms	(* y (log z))
160.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
267.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify942.0ms

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
2	2439
1	624
0	277

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b)))))
0.1b	(fma y (- (log z)) (fma t (- (log a)) b))
0.1b	(fma t (- (log a)) b)
1.2b	(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b))))) y)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

34×	`times-frac`
33×	`add-sqr-sqrt`
32×	`associate-r`
24×	`add-exp-log`
23×	`*-un-lft-identity` `add-cube-cbrt`
18×	`add-cbrt-cube`
13×	`unpow-prod-down`
11×	`div-exp`
9×	`fma-udef`
8×	`prod-exp`
7×	`exp-sum`
6×	`pow1`
5×	`cbrt-undiv` `sqr-pow`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `associate-l*`
2×	`pow-to-exp` `pow-exp` `associate-*r/` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l` `associate-/l/`

Counts

4 → 105

Calls

4 calls:

42.0ms	(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b)))))
0.0ms	(fma y (- (log z)) (fma t (- (log a)) b))
0.0ms	(fma t (- (log a)) b)
17.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b))))) y)

series1.2s

Counts

4 → 12

Calls

4 calls:

488.0ms	(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b)))))
120.0ms	(fma y (- (log z)) (fma t (- (log a)) b))
108.0ms	(fma t (- (log a)) b)
516.0ms	(/ (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b))))) y)

simplify1.4s

Counts

117 → 117

Iterations

Iter	Nodes
done	5002
2	3040
1	653
0	251

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b)))))
0.1b	(fma y (- (log z)) (fma t (- (log a)) b))
0.1b	(fma t (- (log a)) b)
1.2b	(* (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b))))) (/ 1 y))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log`
45×	`associate-r`
40×	`times-frac` `prod-exp`
38×	`add-sqr-sqrt`
30×	`add-cbrt-cube`
28×	`*-un-lft-identity` `add-cube-cbrt`
25×	`div-exp`
13×	`unpow-prod-down`
12×	`cbrt-unprod`
11×	`pow1`
9×	`fma-udef`
7×	`exp-sum`
6×	`cbrt-undiv`
5×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `sqr-pow`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `associate-*r/` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv`
1×	`frac-times` `associate-*l/` `un-div-inv`

Counts

4 → 133

Calls

4 calls:

32.0ms	(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b)))))
0.0ms	(fma y (- (log z)) (fma t (- (log a)) b))
1.0ms	(fma t (- (log a)) b)
62.0ms	(* (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b))))) (/ 1 y))

series1.2s

Counts

4 → 12

Calls

4 calls:

484.0ms	(* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b)))))
126.0ms	(fma y (- (log z)) (fma t (- (log a)) b))
102.0ms	(fma t (- (log a)) b)
451.0ms	(* (* x (/ (pow a (- 1.0)) (exp (fma y (- (log z)) (fma t (- (log a)) b))))) (/ 1 y))

simplify3.4s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	4660
1	820
0	293

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (pow a (- 1.0)) (exp (- b (fma (log z) y (* t (log a)))))) y)
0.1b	(fma (log z) y (* t (log a)))
0.2b	(* t (log a))
1.0b	(* x (/ (/ (pow a (- 1.0)) (exp (- b (fma (log z) y (* t (log a)))))) y))

rewrite384.0ms

Algorithm

rewrite-expression-head

Rules

1311×	`times-frac`
781×	`add-sqr-sqrt`
763×	`*-un-lft-identity` `add-cube-cbrt`
539×	`exp-sum`
441×	`prod-diff`
317×	`associate-r`
295×	`unpow-prod-down`
103×	`associate-/l*`
99×	`sqr-pow`
49×	`sub-neg`
26×	`add-exp-log`
20×	`add-cbrt-cube`
14×	`div-exp`
9×	`pow1` `div-inv`
7×	`exp-diff` `associate-/r/`
6×	`cbrt-undiv` `log-prod` `associate-l` `prod-exp` `unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `associate-/r*` `distribute-lft-in`
2×	`pow-to-exp` `pow-prod-down` `pow-exp` `*-commutative`
1×	`clear-num` `frac-2neg` `associate-*r/` `log-pow` `fma-udef` `associate-/l/`

Counts

4 → 812

Calls

4 calls:

54.0ms	(/ (/ (pow a (- 1.0)) (exp (- b (fma (log z) y (* t (log a)))))) y)
2.0ms	(fma (log z) y (* t (log a)))
7.0ms	(* t (log a))
224.0ms	(* x (/ (/ (pow a (- 1.0)) (exp (- b (fma (log z) y (* t (log a)))))) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

444.0ms	(/ (/ (pow a (- 1.0)) (exp (- b (fma (log z) y (* t (log a)))))) y)
135.0ms	(fma (log z) y (* t (log a)))
45.0ms	(* t (log a))
531.0ms	(* x (/ (/ (pow a (- 1.0)) (exp (- b (fma (log z) y (* t (log a)))))) y))

simplify2.5s

Counts

824 → 824

Iterations

Iter	Nodes
done	5001
1	3286
0	1145

prune7.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes813.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	18

end0.0ms

sample12.0s

Algorithm

intervals

Results

6.5s	45944×	body	80	nan
2.4s	15326×	body	80	valid