Details

sample194.0ms

Algorithm

intervals

Results

69.0ms	1448×	body	80	nan
27.0ms	489×	body	80	valid

simplify53.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	33	10
1	73	10
2	197	8
3	558	8
4	2287	8
5	5001	8
done	5001	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- t 1.0) (log a))
0.3b	(* y (log z))
1.1b	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
2.2b	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log` `log-prod` `exp-sum`
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×	`times-frac` `prod-exp` `associate-/r*` `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×	`sub-neg` `flip3--` `frac-2neg` `associate-r/` `associate--l+` `clear-num` `sum-log` `flip--` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 112

Calls

4 calls:

22.0ms	(* (- t 1.0) (log a))
8.0ms	(* y (log z))
73.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
171.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

series402.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (- t 1.0) (log a))
41.0ms	(* y (log z))
121.0ms	(exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))
186.0ms	(/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y)

simplify57.0ms

Counts

124 → 124

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	580	1143
1	2309	897
2	5002	860
done	5002	860

prune416.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
0.1b	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.1b	(fma (log (/ 1 a)) t b)
5.4b	(/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (/ y x))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

3162×	`times-frac`
1273×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
793×	`unpow-prod-down`
258×	`fma-udef`
256×	`exp-sum`
150×	`div-inv`
89×	`associate-/l*`
61×	`sqr-pow`
45×	`add-exp-log` `div-exp`
18×	`add-cbrt-cube`
17×	`associate-/r*`
12×	`pow-exp`
9×	`cbrt-undiv`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`associate-/r/` `associate-/l/`

Counts

4 → 1181

Calls

4 calls:

22.0ms	(/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
0.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
0.0ms	(fma (log (/ 1 a)) t b)
55.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (/ y x))

series1.2s

Counts

4 → 12

Calls

4 calls:

487.0ms	(/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))
86.0ms	(fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))
78.0ms	(fma (log (/ 1 a)) t b)
529.0ms	(/ (/ (pow (/ 1 a) 1.0) (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b)))) (/ y x))

simplify258.0ms

Counts

1193 → 1193

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5001	30886
done	5001	30886

prune6.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (log (/ 1 a)) t b)
0.2b	(/ 1 (sqrt a))
0.2b	(/ 1 (sqrt a))
0.7b	(* (/ (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y) (* (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) x))

rewrite415.0ms

Algorithm

rewrite-expression-head

Rules

1518×	`times-frac`
674×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
562×	`associate-l`
525×	`sqrt-prod`
462×	`unpow-prod-down`
348×	`add-exp-log`
188×	`div-exp`
120×	`prod-exp`
79×	`fma-udef`
78×	`exp-sum`
64×	`pow-exp`
44×	`add-cbrt-cube`
27×	`div-inv`
21×	`sqr-pow`
18×	`rec-exp` `1-exp`
16×	`pow-to-exp`
15×	`cbrt-unprod`
14×	`cbrt-undiv`
13×	`pow1`
12×	`associate-/r*`
6×	`pow-flip` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `associate-*l/`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `inv-pow`
1×	`frac-times` `associate-r/` `associate-r` `-commutative`

Counts

4 → 755

Calls

4 calls:

0.0ms	(fma (log (/ 1 a)) t b)
7.0ms	(/ 1 (sqrt a))
7.0ms	(/ 1 (sqrt a))
311.0ms	(* (/ (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y) (* (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) x))

series1.1s

Counts

4 → 12

Calls

4 calls:

83.0ms	(fma (log (/ 1 a)) t b)
27.0ms	(/ 1 (sqrt a))
27.0ms	(/ 1 (sqrt a))
956.0ms	(* (/ (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y) (* (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) x))

simplify200.0ms

Counts

767 → 767

Iterations

Useful iterations: 1 (46.0ms)

Iter	Nodes	Cost
0	2958	19831
1	5001	19166
done	5001	19166

prune4.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (log (/ 1 a)) t b)
0.1b	(fma (log (/ 1 a)) t b)
0.2b	(/ 1 (sqrt a))
0.7b	(* (/ (/ (pow (pow a (- 1/2)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y) (* (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) x))

rewrite239.0ms

Algorithm

rewrite-expression-head

Rules

492×	`times-frac`
283×	`add-exp-log`
247×	`associate-l`
233×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
210×	`unpow-prod-down`
146×	`div-exp`
144×	`sqrt-prod`
105×	`prod-exp`
60×	`pow-exp`
42×	`add-cbrt-cube` `sqr-pow`
35×	`fma-udef`
33×	`exp-sum`
23×	`pow-to-exp`
15×	`cbrt-unprod`
13×	`cbrt-undiv`
11×	`pow1`
8×	`rec-exp` `1-exp`
6×	`associate-/r*`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-flip` `pow-prod-down` `associate-l/` `associate-/l`
1×	`frac-times` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `associate-r` `clear-num` `-commutative` `inv-pow`

Counts

4 → 395

Calls

4 calls:

0.0ms	(fma (log (/ 1 a)) t b)
0.0ms	(fma (log (/ 1 a)) t b)
7.0ms	(/ 1 (sqrt a))
200.0ms	(* (/ (/ (pow (pow a (- 1/2)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y) (* (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) x))

series1.4s

Counts

4 → 12

Calls

4 calls:

84.0ms	(fma (log (/ 1 a)) t b)
76.0ms	(fma (log (/ 1 a)) t b)
35.0ms	(/ 1 (sqrt a))
1.2s	(* (/ (/ (pow (pow a (- 1/2)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) y) (* (/ (pow (/ 1 (sqrt a)) 1.0) (sqrt (exp (fma y (log (/ 1 z)) (fma (log (/ 1 a)) t b))))) x))

simplify118.0ms

Counts

407 → 407

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	2022	10227
1	5002	9680
done	5002	9680

prune2.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes269.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	27
1	32	27
done	32	27

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.2s	46401×	body	80	nan
881.0ms	15320×	body	80	valid