Details

sample190.0ms

Algorithm

intervals

Results

74.0ms	1490×	body	80	nan
32.0ms	505×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	17	18
1	33	17
2	72	17
3	171	16
4	498	16
5	1930	16
done	5001	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (log z))
0.3b	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
0.8b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
0.9b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

4.0ms	(* y (log z))
115.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
84.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
40.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

series463.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* y (log z))
146.0ms	(* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b)))
166.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)
113.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))

simplify922.0ms

Counts

126 → 126

Iterations

Useful iterations: done (918.0ms)

Iter	Nodes	Cost
0	239	2543
1	502	2261
2	1296	1821
done	5001	1639

prune446.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (- (log a)) t b)
0.2b	(* (log z) y)
0.3b	(* x (/ (exp (- (* (log z) y) (fma (- (log a)) t b))) (pow a 1.0)))
0.8b	(/ (* x (/ (exp (- (* (log z) y) (fma (- (log a)) t b))) (pow a 1.0))) y)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

63×	`associate-r`
62×	`times-frac`
52×	`add-sqr-sqrt`
40×	`add-cube-cbrt` `*-un-lft-identity`
35×	`exp-sum`
26×	`add-exp-log`
25×	`unpow-prod-down`
21×	`prod-diff`
20×	`add-cbrt-cube`
11×	`div-exp`
9×	`pow1` `prod-exp` `sqr-pow`
7×	`sub-neg` `associate-l`
5×	`cbrt-undiv` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
2×	`pow-to-exp` `associate-r/` `pow-prod-down` `pow-exp` `-commutative` `div-inv`
1×	`frac-2neg` `clear-num` `log-pow` `fma-udef` `associate-/l/` `associate-/l*`

Counts

4 → 144

Calls

4 calls:

0.0ms	(fma (- (log a)) t b)
3.0ms	(* (log z) y)
48.0ms	(* x (/ (exp (- (* (log z) y) (fma (- (log a)) t b))) (pow a 1.0)))
30.0ms	(/ (* x (/ (exp (- (* (log z) y) (fma (- (log a)) t b))) (pow a 1.0))) y)

series839.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(fma (- (log a)) t b)
64.0ms	(* (log z) y)
293.0ms	(* x (/ (exp (- (* (log z) y) (fma (- (log a)) t b))) (pow a 1.0)))
406.0ms	(/ (* x (/ (exp (- (* (log z) y) (fma (- (log a)) t b))) (pow a 1.0))) y)

simplify814.0ms

Counts

156 → 156

Iterations

Useful iterations: 2 (353.0ms)

Iter	Nodes	Cost
0	314	3180
1	760	2762
2	2407	2433
done	5000	2433

prune674.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (- (log z)) (- b (* (log a) t)))
0.3b	(* (/ x (exp (fma y (- (log z)) (- b (* (log a) t))))) (pow (/ 1 (pow a 1.0)) 1.0))
0.3b	(* (log a) t)
0.8b	(/ (* (/ x (exp (fma y (- (log z)) (- b (* (log a) t))))) (pow (/ 1 (pow a 1.0)) 1.0)) y)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

124×	`add-exp-log`
78×	`add-sqr-sqrt`
73×	`div-exp`
57×	`times-frac`
52×	`unpow-prod-down` `pow-exp`
49×	`prod-exp`
37×	`*-un-lft-identity`
32×	`associate-r`
31×	`add-cube-cbrt`
20×	`associate-l` `add-cbrt-cube`
19×	`unswap-sqr`
16×	`pow-to-exp`
12×	`rec-exp` `1-exp`
10×	`sqr-pow`
7×	`pow1`
5×	`cbrt-undiv` `cbrt-unprod`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`exp-sum` `associate-/r*` `div-inv`
2×	`associate-l/` `-commutative`
1×	`frac-2neg` `pow-prod-down` `clear-num` `log-pow` `associate-/l/` `associate-/l*`

Counts

4 → 179

Calls

4 calls:

0.0ms	(fma y (- (log z)) (- b (* (log a) t)))
44.0ms	(* (/ x (exp (fma y (- (log z)) (- b (* (log a) t))))) (pow (/ 1 (pow a 1.0)) 1.0))
3.0ms	(* (log a) t)
16.0ms	(/ (* (/ x (exp (fma y (- (log z)) (- b (* (log a) t))))) (pow (/ 1 (pow a 1.0)) 1.0)) y)

series797.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(fma y (- (log z)) (- b (* (log a) t)))
339.0ms	(* (/ x (exp (fma y (- (log z)) (- b (* (log a) t))))) (pow (/ 1 (pow a 1.0)) 1.0))
58.0ms	(* (log a) t)
333.0ms	(/ (* (/ x (exp (fma y (- (log z)) (- b (* (log a) t))))) (pow (/ 1 (pow a 1.0)) 1.0)) y)

simplify1.0s

Counts

191 → 191

Iterations

Useful iterations: 2 (494.0ms)

Iter	Nodes	Cost
0	368	4933
1	922	4699
2	2563	4115
done	5000	4115

prune701.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (- (log z)) (- b (* (log a) t)))
0.3b	(* (/ x (exp (* 1 (fma y (- (log z)) (- b (* (log a) t)))))) (pow (/ 1 (pow a 1.0)) 1.0))
0.3b	(* (log a) t)
0.8b	(/ (* (/ x (exp (* 1 (fma y (- (log z)) (- b (* (log a) t)))))) (pow (/ 1 (pow a 1.0)) 1.0)) y)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

124×	`add-exp-log`
79×	`add-sqr-sqrt`
73×	`div-exp`
60×	`times-frac`
52×	`unpow-prod-down` `pow-exp`
49×	`prod-exp`
38×	`*-un-lft-identity`
32×	`add-cube-cbrt` `associate-r`
23×	`associate-l`
20×	`add-cbrt-cube`
19×	`unswap-sqr`
16×	`pow-to-exp`
12×	`rec-exp` `1-exp`
10×	`sqr-pow`
7×	`pow1` `fma-udef`
6×	`exp-sum`
5×	`cbrt-undiv` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-/r*` `div-inv`
2×	`associate-l/` `-commutative`
1×	`frac-2neg` `pow-prod-down` `clear-num` `log-pow` `associate-/l/` `associate-/l*`

Counts

4 → 182

Calls

4 calls:

0.0ms	(fma y (- (log z)) (- b (* (log a) t)))
46.0ms	(* (/ x (exp (* 1 (fma y (- (log z)) (- b (* (log a) t)))))) (pow (/ 1 (pow a 1.0)) 1.0))
3.0ms	(* (log a) t)
16.0ms	(/ (* (/ x (exp (* 1 (fma y (- (log z)) (- b (* (log a) t)))))) (pow (/ 1 (pow a 1.0)) 1.0)) y)

series798.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(fma y (- (log z)) (- b (* (log a) t)))
337.0ms	(* (/ x (exp (* 1 (fma y (- (log z)) (- b (* (log a) t)))))) (pow (/ 1 (pow a 1.0)) 1.0))
58.0ms	(* (log a) t)
335.0ms	(/ (* (/ x (exp (* 1 (fma y (- (log z)) (- b (* (log a) t)))))) (pow (/ 1 (pow a 1.0)) 1.0)) y)

simplify1.0s

Counts

194 → 194

Iterations

Useful iterations: 2 (503.0ms)

Iter	Nodes	Cost
0	379	5348
1	936	4755
2	2600	4165
done	5001	4165

prune698.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes608.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	25
1	24	25
done	24	25

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.2s	45653×	body	80	nan
914.0ms	15039×	body	80	valid