Details

sample38.0ms

Algorithm

intervals

Results

6.0ms	169×	body	80	valid
6.0ms	33×	body	1280	valid
4.0ms	33×	body	640	valid
4.0ms	256×	pre	80	true
1.0ms	12×	body	320	valid
1.0ms	9×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	4691
8	1531
7	665
6	318
5	164
4	74
3	53
2	34
1	20
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha 2.0) beta))
2.0b	(+ 1.0 (/ (- beta alpha) (+ (+ alpha 2.0) beta)))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`times-frac`
19×	`distribute-lft-out`
15×	`add-cube-cbrt`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`fma-def`
2×	`expm1-log1p-u` `pow1` `flip3-+` `div-sub` `associate-/r/` `flip-+` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`

Counts

2 → 72

Calls

2 calls:

75.0ms	(/ (- beta alpha) (+ (+ alpha 2.0) beta))
78.0ms	(+ 1.0 (/ (- beta alpha) (+ (+ alpha 2.0) beta)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(/ (- beta alpha) (+ (+ alpha 2.0) beta))
89.0ms	(+ 1.0 (/ (- beta alpha) (+ (+ alpha 2.0) beta)))

simplify838.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1406
1	341
0	127

prune488.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 19.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ beta alpha) 2.0))
0.1b	(exp (log (+ 1.0 (/ (- beta alpha) (+ (+ beta alpha) 2.0)))))
2.0b	(+ 1.0 (/ (- beta alpha) (+ (+ beta alpha) 2.0)))
4.8b	(log (+ 1.0 (/ (- beta alpha) (+ (+ beta alpha) 2.0))))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
32×	`add-sqr-sqrt`
25×	`times-frac`
21×	`distribute-lft-out`
20×	`add-cube-cbrt`
8×	`log-prod`
7×	`add-exp-log`
6×	`pow1` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `log-div` `exp-prod` `flip3-+` `exp-sum` `flip-+` `log1p-expm1-u`
3×	`fma-def`
2×	`exp-diff` `div-sub` `associate-/r/` `log-pow` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `flip3--` `div-exp` `rem-log-exp` `div-inv` `flip--` `rem-exp-log`

Counts

4 → 109

Calls

4 calls:

46.0ms	(/ (- beta alpha) (+ (+ beta alpha) 2.0))
78.0ms	(exp (log (+ 1.0 (/ (- beta alpha) (+ (+ beta alpha) 2.0)))))
76.0ms	(+ 1.0 (/ (- beta alpha) (+ (+ beta alpha) 2.0)))
67.0ms	(log (+ 1.0 (/ (- beta alpha) (+ (+ beta alpha) 2.0))))

series433.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(/ (- beta alpha) (+ (+ beta alpha) 2.0))
85.0ms	(exp (log (+ 1.0 (/ (- beta alpha) (+ (+ beta alpha) 2.0)))))
105.0ms	(+ 1.0 (/ (- beta alpha) (+ (+ beta alpha) 2.0)))
161.0ms	(log (+ 1.0 (/ (- beta alpha) (+ (+ beta alpha) 2.0))))

simplify1.0s

Counts

121 → 121

Iterations

Iter	Nodes
done	5002
2	1636
1	414
0	173

prune850.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 19.7b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (pow (log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ alpha beta))))) 3))
0.3b	(pow (log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ alpha beta))))) 3)
2.0b	(+ 1.0 (/ (- beta alpha) (+ 2.0 (+ alpha beta))))
4.8b	(log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ alpha beta)))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1`
8×	`unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube` `log-pow`
4×	`expm1-log1p-u` `log-prod` `log1p-expm1-u`
3×	`pow-unpow` `fma-def`
2×	`cube-mult` `log-div` `flip3-+` `unpow3` `flip-+` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+r-` `sum-log` `pow-pow` `pow1/3` `div-sub` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 87

Calls

4 calls:

2.0ms	(cbrt (pow (log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ alpha beta))))) 3))
3.0ms	(pow (log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ alpha beta))))) 3)
76.0ms	(+ 1.0 (/ (- beta alpha) (+ 2.0 (+ alpha beta))))
61.0ms	(log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ alpha beta)))))

series937.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt (pow (log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ alpha beta))))) 3))
477.0ms	(pow (log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ alpha beta))))) 3)
85.0ms	(+ 1.0 (/ (- beta alpha) (+ 2.0 (+ alpha beta))))
165.0ms	(log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ alpha beta)))))

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1849
1	372
0	137

prune664.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 19.7b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ beta alpha))))) 3)
0.3b	(pow (cbrt (pow (log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ beta alpha))))) 3)) 3)
2.0b	(+ 1.0 (/ (- beta alpha) (+ 2.0 (+ beta alpha))))
4.8b	(log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ beta alpha)))))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

29×	`unpow-prod-down` `cube-prod`
28×	`cbrt-prod`
22×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`pow1`
7×	`add-exp-log` `log-pow`
6×	`pow-unpow` `add-log-exp`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `cube-mult` `log-prod` `unpow3` `log1p-expm1-u` `sqr-pow`
3×	`pow-pow` `fma-def`
2×	`pow-to-exp` `log-div` `flip3-+` `pow-exp` `flip-+` `distribute-lft-out` `rem-cube-cbrt`
1×	`+-commutative` `associate-+r-` `sum-log` `pow1/3` `div-sub` `rem-log-exp`

Counts

4 → 116

Calls

4 calls:

3.0ms	(pow (log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ beta alpha))))) 3)
7.0ms	(pow (cbrt (pow (log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ beta alpha))))) 3)) 3)
63.0ms	(+ 1.0 (/ (- beta alpha) (+ 2.0 (+ beta alpha))))
72.0ms	(log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ beta alpha)))))

series1.3s

Counts

4 → 12

Calls

4 calls:

527.0ms	(pow (log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ beta alpha))))) 3)
527.0ms	(pow (cbrt (pow (log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ beta alpha))))) 3)) 3)
78.0ms	(+ 1.0 (/ (- beta alpha) (+ 2.0 (+ beta alpha))))
165.0ms	(log (+ 1.0 (/ (- beta alpha) (+ 2.0 (+ beta alpha)))))

simplify1.2s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	2191
1	522
0	162

prune828.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 19.7b

regimes352.0ms

Accuracy

0% (0.3b remaining)

Error of 16.1b against oracle of 15.7b and baseline of 16.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	22
1	22
0	19

end0.0ms

sample1.3s

Algorithm

intervals

Results

415.0ms	5858×	body	80	valid
293.0ms	864×	body	1280	valid
168.0ms	8000×	pre	80	true
123.0ms	666×	body	640	valid
53.0ms	392×	body	320	valid
21.0ms	220×	body	160	valid